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ASSISTING CONVERTER BASED TOPOLOGIES FOR LOW-VOLUME
HIGH-EFFICIENCY BATTERY MANAGEMENT SYSTEMS
by
Mahmoud Fawzy Aziz Shousha
A thesis submitted in conformity with the requirements for the degree of Doctor of Philosophy
Graduate Department of Electrical and Computer Engineering
University of Toronto
© Copyright by Mahmoud Shousha 2016
ii
Assisting Converter Based Topologies for Low-Volume High-Efficiency
Battery Management Systems
Mahmoud Fawzy Aziz Shousha
Doctor of Philosophy
Graduate Department of Electrical and Computer Engineering
University of Toronto
2016
Abstract
Conventional battery management systems (BMSs) for applications that require voltage stepping-
up, such as automotive and portable systems, usually consist of a battery pack, a battery charger,
and a step-up dc-dc converter.
In those applications, a balancing circuit which compensates for different states of charge (SOC)
of individual cells is a highly desirable feature. The SOC difference occurs due to aging and
differences in the manufacturing process. Through cell balancing the effective capacity and
lifetime of the battery pack can be significantly increased. Even though the benefits of cell
balancing circuits have been recognized, their use is relatively sparse in the targeted applications,
due to overly large extra cost, weight, and volume they add to the system.
In this work, a novel battery management architecture (BMA) that integrates voltage stepping-up
and cells balancing functionalities in a single converter topology is introduced, offering a solution
iii
for a cost-effective implementation of the balancing feature. Moreover, the new architecture has a
smaller overall size and better power processing efficiency than the conventional solutions not
incorporating the balancing feature.
In the new BMA, named the assisting converter architecture, the output of the converter is placed
on top of the battery pack and is therefore processing only a portion of the output power.
Two assisting converters utilizing the new BMA are introduced in this dissertation namely, the
assisting dual active bridge (DAB) converter and the assisting flyback converter. The assisting
DAB converter represents the battery power management system for automotive applications and
the assisting flyback converter is designed for portable electronics applications.
iv
Acknowledgements
I would like to express my sincere thanks, appreciation, and gratitude to my advisor, Professor
Aleksandar Prodić, for his precious advice, support, and continuing encouragement. In Professor
Prodić I saw a practical example in conveying a continuous spirit of adventure and excitement for
research and teaching. Without his genuine ideas and positive feedback, this dissertation would
not have been possible. I have totally enjoyed working in Laboratory for Power Management and
Integrated SMPS under his supervision.
I would like to thank my dissertation committee members, Prof. Reza Iravani and Prof. Josh Taylor
for their insight and their valuable and thoughtful feedback. Also, I would like to thank Prof. Bruno
Allard and Prof. Zeb Tate for their insightful comments and questions in the final examination.
I would like to also thank our industry partners John Milios and Victor Marten for introducing an
exciting project to us and giving us the opportunity to work on it.
I take this opportunity to record my grateful regards to all my friends and colleagues in the
Laboratory of Power Management and Integrated SMPS, Amir Parayandeh, Aleksandar Radić,
SM Ahsanuzzaman, Behzad Mahdavikhah, Conny Huerta Oliviares, Adrian Straka, Tim McRae,
Parth Jane, Amr Amin, Nenad Vukadinović, Maryam Amouzandeh, and Shadi Dashmiz. Also, I
would like to thank my friends, Hazem Soliman, Ahmed Mohamed, Mohamed Ramadan, Essam
El Sahwi, and Sherif Helmy.
My deepest gratitude goes to my parents, my wife, my newborn son, my sisters, and my brother-
in-law for their support and understanding. My father’s personality and attitudes always inspired
me trying to be a better student.
v
Finally, I would like to gratefully acknowledge the financial support of the Department of
Electrical and Computer Engineering at the University of Toronto.
vi
Dedication
To Sarah and Ali…
vii
Table of Contents
Acknowledgement ……………………………………………………………………………….iv
Dedication………………………………………………………………………………………...vi
Table of Contents………………………………………………………………………………...vii
List of Figures………………………………………………………………...…………………...x
List of Tables…………………………………………………………………………………..xviii
List of Acronyms………………………………………………………………………………...xix
Chapter 1 Introduction………………………………………………………………………......1
1.1 Motivation…………………………………………………………………………………..1
1.2 Thesis Objectives…………………………………………………………………………...5
1.3 Thesis Organization and Contributions…………………………………………………….6
1.4 Thesis Outline………………………………………………………………………………9
1.5 References…………………………………………………………………………………..9
Chapter 2 Background and Previous Art………………………………………………………12
2.1 Passive Balancing Circuits………………………………………………………………...13
2.2 Active balancing Circuits………………………………………………………………….14
2.2.1 Switch-Capacitor Based Topologies………………………………………………….15
2.2.2 Inductor-Based Topologies…………………………………………………………...18
2.3 Conclusions…………………………………………………………………………..........26
2.4 References…………………………………………………………………………………26
Chapter 3 Assisting Converter Based Integrated Battery Management System for Electromobility
Applications……………………………………………………………………………………...32
3.1 Introduction………………………………………………………………………………..33
3.2 Principle of Operation……………………………………………………………………..35
viii
3.2.1 Step up function and system level efficiency………………………………………… 36
3.2.2 Cell balancing during movement, plug-in, and standstill modes of operation ……… .38
3.3 Assisting Converter Based on Isolated Dual Active Bridge Topology……………….......40
3.4 Practical Implementation……………………………………………………………….....44
3.4.1 Controller……………………………………………………………………………..44
3.4.2 Snubber Capacitors and EMI Minimization…………………………………………...57
3.4.3 Input Filter for Reducing Battery Current Ripple……………………………………..59
3.4.4 Efficiency Improvement at Light-to-Medium Loads………………………................60
3.4.5 Gate Driving…………………………………………………………………………..60
3.4.6 Volume of Passive Components and Silicon Area Comparison……………………...62
3.5 Experimental Results……………………………………………………………………...65
3.6 Conclusions………………………………………………………………………………..71
3.7 References…………………………………………………………………………………72
Chapter 4 High Power Density Assisting Step-Up Converter with Integrated Battery Balancing
Feature…………….……………………………………………………………………………...79
4.1 Introduction………………………………………………………………………………..80
4.2 Principle of Operation……………………………………………………………………..82
4.2.1 Assisting Conversion…………………………………………………………………82
4.2.2 Cells Balancing……………………………………………………………………….83
4.3 Practical Implementation………………………………………………………………….83
4.3.1 Controller……………………………………………………………………………..87
4.3.2 Comparison of Passive Components Volume………………………………………...88
4.3.3 Silicon Area Comparison……………………………………………………………..91
4.4 Experimental Results……………………………………………………………………...93
4.5 Conclusions………………………………………………………………………………..97
ix
4.6 References…………………………………………………………………………………97
Chapter 5 Other Possible Applications for Assisting Converters……………………………102
5.1 Introduction………………………………………………………………………………103
5.2 Uninterruptible Power Supplies and Data Centers………………………………………103
5.3 Low-to-Medium Scale Grid Storage Systems and Smart Homes………………….……105
5.4 Datacom and Wireless Communication systems……………………………………........107
5.5 Conclusions………………………………………………………………………………108
5.6 References……………………..…………………………………………………………108
Chapter 6 Conclusions and Future Work…………………………………………………….111
6.1 Conclusions………………………………………………………………………………112
6.2 Future Work……………………………………………………………………………...113
6.3 References………………………………………………………………………………..114
Appendix A Calculation of Power Transfer Equations for Square Wave Ac Voltages ………115
Appendix B Cost Analysis and Suitability for a Large Number-of-Cells System...................118
B.1 References……………………………………………………………………………….122
x
List of Figures
Figure 1.1. Typical battery power management system…………………………………………..2
Figure 1.2. Conventional battery power management system of a portable device………………3
Figure 1.3. The proposed battery management architecture based on the assisting converter……5
Figure 1.4. Assisting converter based on multi-module dual-active bridge (DAB) converter……7
Figure 1.5. Assisting converter based on two-module Flyback converter………………………..8
Figure 2.1. Shunt resistor passive balancing circuit……………………………………………..13
Figure 2.2. Shunt mosfets passive balancing circuits……………………………………………14
Figure 2.3. Single-tiered switch-capacitor topology……………………………………………..15
Figure 2.4. Double-tiered switch-capacitor topology……………………………………………16
Figure 2.5. Single switched capacitor topology………………………………………………….17
Figure 2.6. Buck-boost based active balancing circuit…………………………………………..19
Figure 2.7. Cuk based active balancing circuit…………………………………………………..20
Figure 2.8. Buck-boost + Cuk based active balancing circuit…………………………………...20
Figure 2.9. Multi-winding flyback based active balancing circuit………………………………21
Figure 2.10. Two-winding flyback based active balancing circuit………………………………22
xi
Figure 2.11. Two-stage flyback based active balancing circuit………………………………….24
Figure 2.12. Multi-winding forward transformer based active balancing circuit………………..25
Figure 3.1. (a) Conventional battery power management system for automotive applications (top);
(b) assisting converter based architecture (bottom)………………………………………………34
Figure 3.2. Multi-input assisting converter………………………………………………………37
Figure 3.3. Operation during movements………………………………………………………...39
Figure 3.4. Plug-in mode of operation……………………………………………………………39
Figure 3.5. Operation during standstill…………………………………………………………...40
Figure 3.6. Assisting converter based on multi-phase dual-active bridge (DAB) converter…….41
Figure 3.7. Alternative implementation based on multi-winding transformer…………………..42
Figure 3.8. A dual-active bridge (DAB) converter module……………………………………...43
Figure 3.9. Key voltage waveforms of a DAB module.................................................................43
Figure 3.10. The block diagram of the used controller……………………………………...…...44
Figure 3.11. Gate driving sequence of primary side modules (Fig.3.6) for the simultaneous cell
balancing (left) and one-by-one cell balancing (right) for motoring mode. Top four waveforms:
gate drive signals of Qk1 transistors (Fig.3.4) of the four cells on the primary side; Bottom
waveforms: gate drive signals of the transistor Q1 on the secondary side……………………....46
xii
Figure.3.12. Simulation results for ac wave forms for primary and secondary sides during
simultaneous balancing during motoring mode of operation when cells are not balanced…..........47
Figure.3.13. Simulation results for converter operation when all cells are balanced……………48
Figure.3.14. Simulation results for converter operation during simultaneous balancing for battery
cells………………………………………………………………………………………………48
Figure 3.15. An example for energy transfer between battery cells during plug-in and standstill
modes of operation for simultaneous cell balancing (left) where energy is transferred from the top
two cells to the bottom two cells and one-by-one balancing (right) where energy is transferred
from the top three cells to the bottom cell………………………………………………………...49
Figure 3.16. Gate driving sequence of primary side modules (Fig.3.6) for the simultaneous cell
balancing (left) and one-by-one cell balancing (right) for regenerative braking. Top four
waveforms: gate drive signals of Qk1 transistors (Fig.3.4) of the four cells on the primary side;
Bottom waveforms: gate drive signals of the transistor Q1 on the secondary side……………......50
Figure.3.17. Simulation results for converter operation during simultaneous balancing in
regenerative braking mode……………………………………………………………………….50
Figure.3.18. Simulation results for converter operation during one-by-one balancing in motoring
mode……………………………………………………………………………………………...51
Figure.3.19. Simulation results for converter operation during transferring energy between battery
cells………………………………………………………………………………………………52
xiii
Figure.3.20. Simulation results for converter operation during one-by-one balancing in
regenerative braking mode……………………………………………………………………….52
Figure.3.21. Simulation results of transient response of the assisting DAB converter……………53
Figure 3.22. Secondary side phase shift modulator with integrated non-overlapping time
generator…………………………………………………………………………………………55
Figure 3.23. Key waveforms of the secondary side phase shift modulator with integrated dead time
block………………………………………………………………………………………...........55
Figure 3.24. K-output primary side phase shift modulator with merged dead-time generator…..56
Figure 3.25. Resonant charging/discharging of the parasitic capacitances……………………….57
Figure 3.26. Ringing and overvoltage across mosfets…………………………………………...58
Figure 3.27: Input current waveform of the DAB converter…………………………………….59
Figure 3.28. DAB with added snubber and filtering capacitors…………………………………59
Figure 3.29. Gate driving scheme, (a) gate driving scheme for cell 4 primary side module, (b) gate
driving schemer for cell 3 primary side module, (c) gate driving scheme for cell 2 primary side
module, (d) gate driving scheme for cell 1 primary side module, (e) gate driving scheme for
secondary side module…………………………………………………………………………...62
Figure 3.30. Normalized comparison between conventional and assisting DAB converters……..64
Figure 3.31. ZVS in primary side modules……………………………………………………….66
xiv
Figure 3.32. ZVS in secondary side module……………………………………………………66
Figure 3.33. Assisting DAB converter operation when the four cells are balanced, iP1, iP2, iP3, and
iP4 are the primary side currents, all current channels are 5A/Div., Vo is the output voltage
(20V/Div.)………………………………………………………………………………………..67
Figure 3.34. Assisting DAB converter operation for simultaneous balancing when
Vcell4>Vcell3>Vcell2>Vcell1, iP1, iP2, iP3, and iP4 are the primary side currents, all current channels are
5A/Div., Vo is the output voltage (20V/Div.)……………………………………………………..67
Figure 3.35. Assisting DAB converter operation for one-by-one cell balancing when top cell is
overcharged, iP1, iP2, iP3, and iP4 are the primary side currents, all current channels are 5A/Div., Vo
is the output voltage (20V/Div.)…………………………………………………………………68
Figure 3.36. Assisting DAB converter operation for energy transfer between the cells, Icell1, Icell2,
Icell3, and Icell4 are the cells currents, all channels are 2A/Div……………………………………68
Figure 3.37. Assisting DAB converter operation during regenerative braking emulation when the
four cells are balanced, Icell1, Icell2, Icell3, and Icell4 are the cells currents, all channels are 5A/Div….69
Figure 3.38. Efficiency curves…………………………………………………………………...70
Figure 4.1. Conventional battery power management system of a portable device……………..80
Figure 4.2. Assisting flyback based architecture ………………………………………………..81
Figure 4.3. Practical implementation of the assisting flyback and its digital controller…………84
Figure 4.4. Gating sequences for different scenarios…………………………………………….84
xv
Figure 4.5. Simulation results for operation of the converter under balanced condition and heavy
load……………………………………………………………………………………………….85
Figure 4.6. Simulation results for operation of the converter under unbalanced condition and heavy
load……………………………………………………………………………………………….85
Figure 4.7. Simulation results for operation of the converter under balanced condition and light
load……………………………………………………………………………………………….86
Figure 4.8. Simulation results for operation of the converter under unbalanced condition and light
load……………………………………………………………………………………………….86
Figure 4.9. Simulation results for transient response of the assisting flyback converter during
heavy-to-light and light-to-heavy loads………………………………………………………….87
Figure 4.10. Assisting flyback converter waveforms after adding decoupling capacitors………..89
Figure 4.11. (a) Input voltage drop calculation for assisting flyback converter, (b) input voltage
drop calculation for conventional boost converter………………………………………………..90
Figure 4.12. Normalized values for passive components and silicon area comparisons………...92
Figure 4.13. Circuits’ components contribution to the overall volume of both converters……..92
Figure 4.14. Assisting converter operation when the two cells are balanced at heavy load, flyback
currents, Vout is the output voltage measurement (10V/Div.). ifb1 is the bottom module flyback
current (2A/Div.). ifb2 is the top module flyback current (2A/Div.)……………………………...94
xvi
Figure 4.15. Assisting converter operation when the top cell is overcharged at heavy load, flyback
currents. Vout is the output voltage measurement (10V/Div.). ifb1 is the bottom module flyback
current (2A/Div.). ifb2 is the top module flyback current (2A/Div.)……………………………...95
Figure 4.16. Assisting converter operation when the two cells are balanced at light load, flyback
currents. Vout is the output voltage measurement (10V/Div.). ifb1 is the bottom module flyback
current (2A/Div.). ifb2 is the top module flyback current (2A/Div.)……………………………...95
Figure 4.17. Assisting converter operation when the top cell is overcharged at light load, flyback
currents. Vout is the output voltage measurement (10V/Div.). ifb1 is the bottom module flyback
current (2A/Div.). ifb2 is the top module flyback current (2A/Div.)……………………………...95
Figure 4.18. Power processing efficiency curves comparison…………………………………...96
Figure 5.1. Ac system based data center………………………………………………………...104
Figure 5.2. Dc system based data center………………………………………………………...105
Figure 5.3. Low-to-medium scale grid storage system and smart home architecture……………106
Figure 5.4. Communication systems power architecture……………………………………….107
Figure A.1. DAB main waveforms……………………………………………………………..116
Figure B.1. Losses per primary side switch…………………………………………………….119
Figure B.2. Losses per secondary side switch……………………………………………….......119
Figure B.3. Losses per inductor…………………………………………………………………120
xvii
Figure B.4. Losses per transformer……………………………………………………………...120
Figure B.5. Losses per output capacitor…………………………………………………………120
Figure B.6. System losses……………………………………………………………………….120
Figure B.7. System’s efficiency………………………………………………………………...121
Figure B.8. System’s cost……………………………………………………………………….121
xviii
List of Tables
Table 2.1. Comparison between switch-capacitor based and inductor based active balancing
circuit…………………………………………………………………………………………….25
Table 3.1. Experimental setup components and parameters..........................................................71
Table.4.1. Experimental setup parameters………………………………………………………..96
xix
List of Acronyms
A Ampere AC Alternating Current ADC Analog-to-Digital Converter AH Ampere Hour BMS Battery Management System C Cent DAB Dual Active Bridge DC Direct Current Div. Division DPWM Digital Pulse Width Modulation EIS Electro-Impedance Spectroscopy EMI Electro-Magnetic Interference EV Electric Vehicle FPGA Field Programmable Gate Arrays
xx
GSM Global System for Mobile communications HEV Hybrid Electric Vehicle HV High Voltage Hz Hertz IC Integrated Circuit ICT Information and Communication Technology LCD Liquid Crystal Display LDO Low-dropout regulator LV Low Voltage Mosfet Metal Oxide Semiconductor Field Effect Transistor PC Personal Computer PID Proportional Integral Derivative PoL Point of Load PSM Phase Shift Modulator PV Photovoltaics PWM Pulse Width Modulation
xxi
RCD Resistance Capacitor Diode RF Radio Frequency RMS Root Mean Square SC Switch-Capacitor Sel. Selector SMPS Switch-Mode Power Supply SOC State of Charge SOH State of Health UPS Uninterruptible Power Supply V Volt W Watt ZVS Zero Voltage Switching
1
Chapter 1
Introduction
1.1 Motivation
In the recent years, battery-powered devices have been extensively used in numerous applications
ranging from low-power devices, such as smartphones, laptops, and tablet computers, consuming
up to few hundred watts, to medium-to-high power applications such as electric vehicles (EVs),
2
hybrid electric vehicles (HEVs), data centers, grid storage, and smart homes, consuming power up
to several gigawatts.
In portable and automotive systems, the battery management system (BMS) usually consists of the
following main blocks, shown in Fig.1.1: a number of series battery cells (a battery pack), a step-
up dc-dc converter [1]-[2], a battery charger, and, in very rare cases, a balancing circuit.
Step-updc-dc Converter
Balancing circuit
-
+
Vbatt
+
Vout
-
CoutLoad
BMS
ChargerAc voltage
Figure 1.1. Typical battery power management system.
Step-up dc-dc converters are needed since many functional blocks of these systems require a well-
regulated dc voltage that is higher than that of the battery pack.
The importance of the balancing circuits can be appreciated knowing that the individual cells of a
battery pack usually have different states of charge (SOC). The SOC differences happens due to
various reasons, such as manufacturing variations in physical volume, variations in internal
impedance of each cell, differences in self-discharge rates, aging effects, and thermal gradient
across the battery pack [3]. The SOC imbalance results in degradation in battery lifetime and
underutilization of the battery pack, as if one cell in the pack is close to being over-discharged or
3
over-charged, the discharging/charging process is stopped immediately, regardless the SOC of the
rest of the cells. This is done for safety reasons which are especially critical with Li-Ion batteries,
which are the most commonly used nowadays, and their overcharge can cause an explosion of the
battery pack.
The balancing circuits can be divided into two main categories. The first one is the passive
balancing circuits which revolve around dissipating the excessive energy through resistors. The
disadvantages of these circuits are low efficiency and the related heating issues. The second
category comprises of the active balancing circuits, which are far more efficient. The active
balancing circuits are transferring the excessive energy from the overcharged cells to the
undercharged ones through auxiliary dc-dc converters [4]-[11]. Even though the active cell
balancing can increase the battery lifetime by a factor of three, their use is relatively sparse, due to
the overly large extra cost and weight they add to the system.
Dc-dcbus
converter
+PoL
PoL
LDO
Loads
Cbus
Vout
+
_
+Vbatt
Balancingcircuit
Step-up dc-dc converter
Vcell1
Vcell2
-
Vbus V1
V2
Vn
+
_
_
BMS
Figure 1.2. Conventional battery power management system of a portable device.
4
Two widely used battery management systems are of interest in this work. The first one is the
battery management system for automotive applications shown, in Fig.1.1. The second one is the
battery management system for low-power portable electronics, such as smartphones and tablet
PCs, shown in Fig.1.2. These two systems are selected since it is well known that for these two
applications volume, cost, efficiency, and weight are crucial requirements. High power density,
i.e. low volume/weight combined with high power processing efficiency, is crucial in both of these
applications since it translates into a longer battery lifetime/ range and lower overall
volume/weight of the device. Both of these are of critical importance for the targeted applications.
In a longer term, the improved power density also results in cost reduction which is an important
factor in widening the market of these systems. It should be noted that improving the efficiency
and reducing the volume need to be done simultaneously, since reducing the volume without
improving the efficiency results in higher heat density and increased cooling system requirements,
which can nullify all advantages obtained through volume reduction.
Although these design requirements are essential for these systems, the conventional battery
management systems in the targeted applications still take a significant amount of the overall
device volume and weight and usually do not utilize cell balancing. The large volume is usually
caused by the use of relatively low power density boost converters in these applications, which
occupy a significant portion of the total volume and weight of the two battery management systems
of the interests. In automotive systems they often provide the full motor power [1] and in portable
systems, they are usually used to supply the back panel lighting, which consumes up to 60% of the
total power in some devices such as Samsung Galaxy tab [12]-[13]. Also, the existing solutions to
provide cells balancing add a significant extra cost, volume, weight, or degrade system efficiency,
as explained earlier. Therefore the manufacturers of these systems are usually left with two bitter
5
options of either eliminating the balancing circuits and sacrificing the battery lifetime or using the
existing solutions and increasing the volume, weight, and cost of the devices.
1.2 Thesis Objectives
The main goal of this thesis is to introduce a new battery management architecture that provides a
balancing feature, reduces overall volume and the cost of the system, and improves the system
efficiency at the same time. These advantages are achieved by integrating the voltage step-up, and
balancing functions inside a single converter topology, which processes only a portion of the
output power unlike the existing solutions. The introduced architecture, named assisting converter
architecture [14], is shown in Fig.1.3. It operates at such that the stepped-up output voltage is
formed as a sum of the battery pack voltage Vbatt and the output voltage of a bi-directional multi-
input single output converter, Vcf, where the inputs of the converter are connected to the battery
Step-updc-dc converter
&Balancing circuit
-
+
Vbatt
+
Vout
-
Cf
Load
Vcf
+
-
Iout
Figure 1.3. The proposed battery management architecture based on the assisting converter.
6
pack. In other words, instead of providing the entire output voltage and power, the converter in
this configuration is just assisting the battery, by providing a portion of power. This portion of
power is proportional to the difference between the output and the battery pack voltages.
1.3 Thesis Organization and Contributions
Two types of converters utilizing the assisting architecture are developed in this thesis, namely, a
multi-phase assisting dual active bridge (DAB) converter for automotive applications and a two-
phase assisting bi-directional flyback converter for portable applications.
In the first part of the thesis, assisting DAB converter for automotive applications, shown in
Fig.1.4, is described. Also, a complementary controller that performs cells balancing and regulates
the output voltage at the same time is presented. This DAB combines the balancing and step-up
functions in one stage and results in a smaller volume than the conventional boost-based or DAB
solutions. The advantages over the conventional solutions are obtained because the DAB assisting
converter processes only a 66% of the rated output power of the conventional solutions, allowing
for cost-effective implementation. Furthermore, the assisting DAB converter has better power
processing efficiency, compared to the conventional boost and DAB converters providing the same
amount of power at the output. The assisting DAB converter has the peak power processing
efficiency of 95.4% with almost flat efficiency curve, which is comparable or even better than the
best state-of the-art solutions [15].
In the second part of the thesis, the assisting converter of Fig.1.5, based on flyback converter is
described. This converter is designed for portable applications supplied by two or more battery
cells. The controller of this topology is implemented based on the pulse width modulation (PWM).
7
This converter also shares the properties of general assisting architectures, combining the
balancing and step-up functions in one stage. In comparison with commonly used boost that has
approximately the same power processing efficiency curve with a peak efficiency of 93.4%, the
assisting flyback processing 45% of the output power and has about 23% smaller overall volume.
Figure 1.4. Assisting converter based on multi-module dual-active bridge (DAB) converter.
8
To summarize, the main contributions of this thesis is a new power management architecture, and
two converter topologies utilizing the architecture, namely:
A dual-active bridge based assisting converter for automotive applications that combines
the balancing and step-up functions with reduced volume and better power processing
efficiency than the conventional solution; and its accompanying digital controller.
A flyback based assisting converter for low power applications that also combines the
balancing and step-up functions and has a smaller volume and approximately the same
power processing efficiency compared to the conventional solution.
Figure 1.5. Assisting converter based on two-module Flyback converter.
9
1.4 Thesis Outline
The thesis is organized as follows:
Chapter 2 reviews the main challenges regarding the balancing circuits and emphasizes on the
drawbacks that make the use of balancing circuits is relatively sparse.
Chapter 3 shows the use of the assisting conversion concept in the battery management system for
automotive applications. The principle of the operation of the converter is described and main
implementation issues for the introduced converter are addressed. This is followed by the
experimental results that confirm the advantages of the converter.
Chapter 4 describes the assisting flyback step-up dc-dc converter for battery management system
of low power applications. A practical implementation and experimental results are also shown.
Chapter 5 investigates other possible applications utilizing the assisting concept. Three possible
applications are studied. As the first possible application, the converters for uninterruptible power
supplies (UPSs) and data centers are investigated. Then, possibilities of using the assisting
architecture in the converters for grid storage systems for smart homes is briefly reviewed, and
finally a potential use of the introduced architecture in converters for datacom and wireless
communication systems is addressed.
Finally, this thesis is concluded in chapter 6, summarizing the main contributions and possible
directions for future research.
1.5 References
[1] A. Emadi, "Advanced Electric Drive Vehicles," Florida, CRC Press, 2014.
[2] "TI Tablet Solutions," Datasheet, Texas Instrument, 2013, available http://www.ti.com.
10
[3] C. Jian, N. Schofield, and A. Emadi, "Battery Balancing Methods: A Comprehensive
Review, " in Proc. IEEE Vehicle Power and Propulsion Conf., 2008; pp. 1–6.
[4] A. Baughman and M. Ferdowsi, "Double-tiered capacitive shuttling method for balancing
series-connected batteries," in Proc. IEEE Vehicle Power and Propulsion Conf., 2005,
pp.109-113.
[5] R. Fukui and H. Koizumi, "Double-tiered switched capacitor battery charge equalizer with
chain structure," in Proc. 39th Annu. IEEE Ind. Electron. Society Conf., 2013, pp.6715-
6720.
[6] C. Karnjanapiboon, Y. Rungruengphalanggul, and I. Boonyaroonate, "The low stress
voltage balance charging circuit for series connected batteries based on buck-boost
topology," in Proc. IEEE Circuits and Syst. Symp., 2003, pp.III-284,III-287.
[7] N. H. Kutkut, "A Modular Nondissipative Current Diverter for EV
Battery Charge Equalization," in Proc. 13th Annu. IEEE Appl. Power Electron.
Conf. Expo., 1998, pp. 686-690.
[8] X. Lu, W. Qian, F. Z. Peng, "Modularized Buck-Boost + Cuk Converter for High Voltage
Series Connected Battery Cells," in Proc. 27th Annu. IEEE Appl. Power Electron. Conf.
Expo., 2012, pp.2272-2278.
[9] "LTC3300-1 - High Efficiency Bidirectional Multicell Battery Balancer," Datasheet,
Linear technology, available www.linear.com.
[10] C. Bonfiglio and W. Roessler, "A Cost Optimized Battery Management System with
Active Cell Balancing for Lithium Ion Battery Stacks," in Proc. IEEE Vehicle Power and
Propulsion Conf., 2009, pp.304,309.
11
[11] S. Li, C. Mi, and M. Zhang, "A high efficiency low cost direct battery balancing circuit
using a multi-winding transformer with reduced switch count," in Proc. 27th Annu. IEEE
Appl. Power Electron. Conf. Expo., 2012, pp.2128-2133.
[12] R. M. Soneira, "Tablet Display Technology Shoot-Out," [online]. Available:
http://www.displaymate.com/Tablet_ShootOut_2.htm.
[13] D. Schmidt, "Samsung Galaxy Tab S 10.5 Tablet Review," [online]. Available
http://www.notebookcheck.net/Samsung-Galaxy-Tab-S-10-5-Tablet
Review.124253.0.html.
[14] A. Prodic, M. Shousha, V. Marten, and J. Milios, "Assisting Converter," US Patent
US8779700, July 2014.
[15] F. Krismer and J. W. Kolar, "Accurate power loss model derivation of a high-current dual
active bridge converter for an automotive application," IEEE Trans. Ind. Electron., vol.57,
no.3, pp.881-891, March 2010.
12
Chapter 2
Background and Previous Art
This chapter presents an overview of the previous work related to cells balancing circuits. At first
the passive balancing circuits, which evolve around dissipating energy from excessively charged
cells in shunt resistors or transistors, and their shortcomings of low efficiency and high temperature
13
rise are addressed in the first section. Second the active balancing circuits, which are way more
efficient than the passive balancing circuits, are discussed. The active balancing circuits can be
divided into two main categories; the first category is the switch-cap based topologies and the
second category is the inductor-based switch-mode power supply topologies. The different
topologies and their main advantages/disadvantages are addressed in the following sections
revealing the areas for further improvement which is the main condense of this thesis.
2.1 Passive Balancing circuits The basic idea of the passive balancing circuits [1]-[5] is to connect a resistor in parallel with each
cell to dissipate excessive energy of overcharged cells during charging or discharging processes
as shown in Fig. 2.1. During discharging process, the shunt resistor(s) is connected to overcharged
cell(s) during operation such that these cells supply more current than the rest of the cells which
leads eventually to cells balancing. During charging process, all switches are turned on at the same
time such that overly charged cells receive less current. This happens since these cells have higher
voltages than the rest of the cells and hence provide higher currents through the shunt resistors
which results eventually in less current into overcharged cells during charging.
Figure 2.1. Shunt resistor passive balancing circuit.
14
In order to add more control over the shunt current, a modification to shunt resistor passive
balancing circuits is done in [5]. The modification is to connect mosfets that operate in the linear
region in parallel with each cell such that the on-resistance of the mosfets, and hence the shunt
current, is proportional to the SOC of the associated cells as shown in Fig.2.2. The main drawbacks
of the passive balancing circuits generally are the low operating efficiency and high heat generation
which makes the use of these circuits unappealing in the targeted battery management systems.
2.2 Active Balancing Circuits The idea of the active balancing circuits [6]-[41] is based on transferring the energy of overcharged
cells to those with less charge rather than dissipating this energy in shunt elements. Since the
excessive energy is not dissipated, the active balancing circuits are way more efficient than the
passive balancing circuits. The active balancing circuits can be divided into two main categories;
the first category is the switch-capacitor based topologies and the second category is the inductor-
based switch-mode power supplies topologies. The different topologies in each category are
discussed in the next subsections.
Figure 2.2. Shunt mosfets passive balancing circuits.
15
2.2.1 Switch-Capacitor Based Topologies Switch-capacitor (SC) balancing circuits [6]-[17] utilize a network of switches and capacitors only
to transfer the excessive energy between battery cells. These balancing circuits operate by
capacitive energy transfer between the circuits’ ports rather than inductive energy transfer used in
inductor-based switch-mode power supply topologies. The next subsections describe the different
SC balancing circuits and address the advantages and disadvantages of these topologies.
2.2.1.1 Single-Tiered Switch-Capacitor
Single-tiered switch-capacitor topology [6]-[10] is the basic and the most straight forward switch-
capacitor topology. It requires N-1 capacitors and 2N bi-directional switches to balance N cells, an
example of 3 cells is shown in Fig.2.3. The balancing algorithm is simple as all switches are
controlled by the same signal such that the excessive energy is transferred among all cells
sequentially. For instance, when S1, S2, and S3 are in the upper positions, C1 and C2 are connected
in parallel with E1 and E2 and hence the capacitors are charged or discharged to have the same
Figure 2.3. Single-tiered switch-capacitor topology.
16
voltages of E1 and E2. After that, S1, S2, and S3 are in the lower position and hence connecting C1
and C2 to E2 and E3 respectively and the same process mentioned earlier happens. After few cycles
of this sequence, battery cells are balanced. The main advantages of this topology are simple
control algorithm, high power density [18], high efficiency at low-power applications up to few
watts [19], the topology can be used during charging or discharging processes, minimum
electromagnetic interference (EMI) since there are no magnetic components, and it is easy to
integrate the whole balancing circuit on chip. The main disadvantages are relatively long balancing
time since energy needs to shuttle through all battery cells, high inrush current at start-up, high
pulsating currents during normal operations which have a negative impact on battery lifetime, and
inherent energy loss associated with charge transfer between the capacitors [20].
2.2.1.2 Double-Tiered Switch-Capacitor
Double-tiered switch-capacitor topology [11]-[17] is a modified version of the single tiered switch-
capacitor topology. The only difference is that it uses two capacitor stages or tiers to provide more
current paths among the battery cells and hence reduce the impedance of the current path to speed
up cells balancing. It needs N capacitors and 2N bi-directional switches to balance N cells, an
Figure 2.4. Double-tiered switch-capacitor topology.
17
example of 3 cells is given in Fig. 2.4. This topology has the same advantages of the single tiered
switch-capacitor topology. Moreover, it reduces the balancing time to more than half [21] because
of the presence of the second capacitor tier. But still it has the same disadvantages of the single-
tiered switch-capacitor topology which are high in-rush current at start-up, high pulsating currents
during normal operation, the need to shuttle energy along the battery pack which limits balancing
speed and system efficiency, and inherent energy loss for complete charge/discharge cycle.
2.2.1.3 Single Switched Capacitor
Single switched capacitor topology [8]-[10] is another form of the basic single-tiered switch-
capacitor topology but it utilizes only one capacitor and N+5 bi-directional switches to balance N
cells which makes it more cost efficient and higher power dense than the two previously described
topologies. Figure 2.5 shows an example of a 3-cells single switched capacitor balancing circuit.
If the same simple control algorithm of the two previously mentioned topologies is employed,
Figure 2.5. Single switched capacitor topology.
18
balancing speed is limited to 1/N of that of the single-tiered switch-capacitor topology when using
the same capacitance value. However, different control algorithms can be used to speed up cells
balancing. One of these algorithms is to connect any two cells in parallel using the corresponding
switches which is known as cell to cell balancing method [8], but still the balancing speed becomes
low when both cells have close or equal voltages. The main disadvantages are since more switches
are used, higher switching and conduction losses are present in addition to the same disadvantages
associated with any switch-capacitor topology which makes the inductor-based SMPS based
topologies are more attractive for the targeted applications.
2.2.2 Inductor-Based Topologies
Inductor-based active balancing circuits operate based on inductive energy transfer as opposed to
capacitive energy transfer used by their switch-capacitor based counterparts. The inductor-based
balancing circuits can be divided into two main subcategories; the first subcategory is the non-
isolated dc-dc converters and the second subcategory is the isolated dc-dc converters. The
operation, advantages, and disadvantage of different topologies in each subcategory are described
in the following subsections.
2.2.2.1 Non-Isolated Dc-Dc Converters
The most commonly used non-isolated converters for cells balancing are buck-boost [22]-[26] and
Cuk [27]-[32] converters or a combination of them [33] as shown in Figs. 2.6, 2.7, and 2.8
19
respectively. The buck-boost balancing circuit is used to transfer energy indirectly between any
neighboring cells by taking the excessive energy of an overcharged cell, storing it in the
corresponding power transfer inductor (Li) of a module and then releasing it to the neighboring
undercharged cell. It has a modular design and requires N-1 inductors and 2N-2 switches to balance
N cells, an example of 3 cells is shown in Fig.2.6.
In Cuk converter based balancing circuit, energy is transferred directly between any two
neighboring cells using the Cuk converter formed by the capacitor (Ci) and inductors (Li) and (Li+1)
in the corresponding module. It has also a modular design and requires N-1 modules to balance N
cells. Each module has two inductors, two switches, and one capacitor, an example of 3 cells is
shown in Fig.2.7.
A hybrid between buck-boost and Cuk converters is proposed in [33] to reduce the number of
inductors and active components per cell without increasing the voltage stress across
semiconductor devices. This circuit has a modular structure as well and requires N/2 inductors,
N/2-1 capacitors, and N switches to balance N cells, an example of 4 cells is shown in Fig.2.8. The
balancing is done using a simple PWM control with a fixed duty cycle of 50% [33]. The top two
L1
Q1
Q2Q3
Q4
L2
E1
E2
E3Module
Q1
Q2
Ts
Figure 2.6. Buck-boost based active balancing circuit.
20
battery cells, E1 and E2, are balanced using the buck-boost converter formed by Q1, Q2, and L1
while the bottom two cells, E3 and E4, are balanced by the buck-boost converter formed by Q3, Q4,
and L2. In addition, the middle cells E2 and E3 are balanced using the cuk converter formed by Q2,
Q3, C1, L1, and L2. The gating pulses for the case when E1>E2 and E3>E4 are shown in Fig.2.8. The
main advantages of the non-isolated inductor-based balancing circuits are small components count
and they operate with fairly simple PWM controllers [34]. On the other hand, these topologies
L1
Q1
Q2Q3
Q4
L3
E1
E2
E3
C1
C2
Module
L2
L4
Q1
Q2
Ts
Figure 2.7. Cuk based active balancing circuit.
L1
Q1
Q2
Q3
Q4
E1
E2
E3
C1
E4
L2
Module
t
t
t
t
Q1
Q2
Q3
Q4
Ts
Figure 2.8. Buck-boost + Cuk based active balancing circuit.
21
require fairly large passive components which add to the volume, weight, and cost of the battery
management system. Also, energy cannot be transferred between any two arbitrary cells directly
which limits balancing speed and system efficiency.
2.2.2.2 Isolated Dc-Dc Converters
The most commonly used isolated dc-dc converter for cells balancing is the flyback converter and
its different derivations [35]-[40]. The system presented in [35]-[38] utilizes a multi-winding
transformer and two switches (or one switch) per cell on the primary winding to transfer the energy
from an overcharged cell to the whole battery pack or to transfer the energy from the battery pack
to any undercharged cell(s). The mosfets in the primary sides are used to charge the magnetizing
E1
EN
E2
E3
1:1:…:n
Q11
Q21
Q31
QN1
D11
D21
D31
DN1
Q1
Lm
Rs1 Cs1
Ds1
Ds2
Rs2 Cs2
Ds3
Rs3Cs3
DsN
RsNCsN
Snubber circuit
Module
Figure 2.9. Multi-winding flyback based active balancing circuit.
22
branch inductance (Lm) in the first part of the cycle and the mosfet in the secondary side is used to
release the energy stored in Lm to the battery pack. Also, it can be controlled such that the secondary
side mosfet is used to charge Lm and the primary side mosfets are used to release the energy stored
in Lm to undercharged cells. The series diodes (D1, D2... DN1) are used to prevent cross conduction
between primary modules. Figure 2.9 shows the multi-winding flyback balancing circuit.
A similar approach is presented in [39]. The main difference is this system trades off the number
of switches with the number of transformer windings to reduce the volume and cost of the
balancing circuit. Fig 2.10 shows the two-winding flyback balancing circuit. The main advantages
E1
EN
E2
1:n
Q11
Q12
Q21
Q22
QN1
QN2
D11
D21
DN1
Q1
Lm
Module
Figure 2.10. Two-winding flyback based active balancing circuit.
23
of the two previously described solutions are simple control algorithm, small components count,
and flexible energy transfer. The main drawbacks are the low efficiency of the flyback converter
especially at higher power levels and transformer bulky size. These systems operate at relatively
low efficiency due to the presence of snubber circuits needed to limit voltage overshoot across
semiconductor devices by dissipating the energy stored in the leakage inductance of the flyback
transformer into the snubber resistance (Rs). The bulky size comes as a result of the storage
requirements of the flyback transformer.
A two-stage solution based on the flyback converter is presented in [40] to reduce voltage stress
across switches and hence overcome the consequent problems of high switching losses, high cost,
high on-resistance, and large silicon area. In the two previously described solutions, the secondary
side is connected to the battery back which makes the used semiconductor devices experience high
voltage stresses especially in applications that require a large number of cells such as automotive
applications. This can be solved by connecting the secondary side of the flyback transformer to an
intermediate capacitor C1 that serves as an input to the second stage. The first stage runs at a fixed
duty cycle and the capacitor voltage is controlled at the desired level defined by the blocking
voltage of the used semiconductor devices. The second stage is used to transfer the energy stored
in the intermediate capacitor to the battery pack. The main drawback of this solution is lower
system efficiency due to using two cascaded power stages. For example, if each stage runs at an
efficiency of a 90% the complete system has an overall efficiency of an 81%. Also, this work did
not address the problem of cross conduction between the modules and did not take into account
the bi-directional nature of the flyback converter which opens a possibility to transfer the energy
from the battery pack to any desired cell through the corresponding module. In addition, the
topology uses a large number of flyback bulky size transformers which reflects on the overall
24
volume and weight of the balancing circuit. Figure 2.11 shows the two stage flyback balancing
circuit.
Another approach based on connecting any unbalanced cells through a multi-winding forward
transformer rather than using a flyback converter is introduced in [41]. The balancing is done by
turning on and off all mosfets at the same time such that when battery cells have voltage
differences, the current flows from overcharged cell(s) to undercharged cell(s) and hence balancing
them. The main advantages of this system are it does not have the common problems associated
with the flyback converter such as bulky size due to its transformer storage requirements and
snubber circuits associated with the leakage inductance of the flyback transformer in addition to
simple control and inherent zero voltage switching. The main disadvantage is the balancing current
E1
EN
E2
E3
1:n1
Q1
Q2
Q3
QN
Lm
D1
D2
1:n1
1:n1
1:n1
D3
DN
C1
Q1CLm
D1C
1:n2
Module
Figure 2.11. Two-stage flyback based active balancing circuit.
25
is controlled by the voltage difference between cells and the parasitic resistance of the conduction
path which means the balancing becomes too slow for the energy transfer between cells having
similar output voltages. The multi-winding forward transformer based balancing circuit is shown
in Fig.2.12.
Table 2.1 shows a comparison between switch-capacitor based and inductor based active balancing
circuits summarizing key figures of merits for both approaches.
Table 2.1. Comparison between switch-capacitor based and inductor based active balancing circuit
Switch-Cap. based Inductor based Ability to operate during charging/discharging
Yes Yes
Cost Less expensive Relatively expensive Volume Smaller Relatively big Weight Lighter Relatively heavy
E1
Q11
1:….:1
Module
C11 C21
L11
Lm
E2
Q21C21 C21
L21
EN
QN1CN1 CN2
LN1
Figure 2.12. Multi-winding forward transformer based active balancing circuit.
26
Efficiency Low for high power applications and long-
stack batteries
Relatively higher
Flexibility to balance two arbitrary battery cells directly
Not flexible since energy need to shuttle along the
battery pack
Not flexible for non-isolated and flexible for isolated
topologies Suitability for long-stack batteries
Not suitable Suitable
2.3 Conclusions State of the art balancing circuits are investigated and reviewed in this chapter. From the conducted
literature review, it’s quite obvious that the state of the art balancing circuits either operate with
lossy resistive components or are implemented as auxiliary circuits that add to the cost, volume,
and weight of the system, in case of inductive based balancing circuits, or lacks balancing
efficiency and flexibility, in case of switch-cap based balancing circuit, which makes the use of
balancing circuits is rare in battery management systems regardless their importance.
2.4 References
[1] “bq76PL536,” Datasheet, Texas Instrument, [online]. Available: www.ti.com, Dec. 2009.
[2] “MAX11068”, Datasheet, Maxim Integrated, [online]. Available:
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[3] W. C. Lee, D. Drury, and P. Mellor, "Comparison of passive cell balancing and active cell
balancing for automotive batteries," in Proc. IEEE Vehicle Power and Propulsion Conf.,
2011, pp.1-7.
[4] I. Aizpuru, U. Iraola, J. M. Canales, M. Echeverria, and I. Gil, "Passive balancing design
for Li-ion battery packs based on single cell experimental tests for a CCCV charging
mode," in Proc. Int. Clean Electrical Power Conf., 2013, pp.93-98.
27
[5] M. Uno, "Interactive charging performance of a series connected battery with shunting
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[6] G. A. Kobzev, "Switched-capacitor systems for battery equalization," in Proc. Int.
Scientific and Practical Conference of Students, Post-graduates and Young Scientists,
2000, pp.57-59.
[7] M. Daowd, N. Omar, P. van den Bossche, and J. van Mierlo, "Passive and Active Battery
Balancing Comparison based on MATLAB Simulation, " in Proc. IEEE Vehicle Power
and Propulsion Conf., 2011, pp. 1–7.
[8] C. Jian, N. Schofield, and A. Emadi, "Battery Balancing Methods: A Comprehensive
Review, " in Proc. IEEE Vehicle Power and Propulsion Conf., 2008, pp. 1–6.
[9] Z-G. Kong, C-B. Zhu, R-G. Lu, and S-K. Cheng, "Comparison and Evaluation of
ChargeEqualization Technique for Series Connected Batteries," in Proc .37th Annu. IEEE
Power Electron. Spec. Conf., 2006, pp. 1–6.
[10] S. W. Moore amd P. J. Schneider, "A Review of Cell Equalization Methods for Lithium
Ion and Lithium Polymer Battery Systems," in Proc. World Congress Society of Automatic
Engineers, 2001.
[11] M-Y. Kim, C-H. Kim, J-H. Kim, and G-W. Moon, "A Chain Structure of Switched
Capacitor for Improved Cell Balancing Speed of Lithium-Ion Batteries," IEEE Trans. Ind.
Electron., vol.61, no.8, pp.3989-3999, Aug. 2014.
[12] A. Baughman and M. Ferdowsi, "Double-tiered capacitive shuttling method for balancing
series-connected batteries," in Proc. IEEE Vehicle Power and Propulsion Conf., 2005,
pp.109-113.
28
[13] R. Fukui and H. Koizumi, "Double-tiered switched capacitor battery charge equalizer with
chain structure," in Proc. 39th Annu. IEEE Ind. Electron. Society Conf., 2013, pp.6715-
6720.
[14] C. Pascual and P. T. Krein, “Switched capacitor system for automatic series battery
equalization,” in Proc. 12th Annu. IEEE Appl. Power Electron. Conf. expo., 1997, pp. 848-
854.
[15] C. Pascual and P. Krein, "Switched capacitor system for automatic series battery
equalization," Modern Techniques and Technology, 2000, pp. 57-59.
[16] A. Baughman and M. Ferdowsi, "Analysis of the Double-Tiered Three-Battery Switched
Capacitor Battery Balancing System," in Proc. IEEE Vehicle Power and Propulsion Conf.,
2006, pp.1-6.
[17] A. C. Baughman and M. Ferdowsi, "Double-Tiered Switched-Capacitor Battery Charge
Equalization Technique," IEEE Trans. Ind. Electron., vol.55, no.6, pp.2277-2285, June
2008.
[18] S. R. Sanders, E. Alon, H-P. Le, M. D. Seeman, M. John, V. W. Ng, "The Road to Fully
Integrated DC–DC Conversion via the Switched-Capacitor Approach," IEEE Trans. Power
Electron., vol.28, no.9, pp.4146-4155, Sept. 2013.
[19] G. Zhu and A. Ioinovici, "Switched-capacitor power supplies: DC voltage ratio, efficiency,
ripple, regulation," in Proc. IEEE Circuits and Syst. symp., 1996, pp.553-556.
[20] S. Ben-Yaakov, “Switched capacitor converters,” in Proc. IEEE Appl. Power Electron.
Conf. and Expo., 2009, available www.ee.bgu.ac.il/∼pel/seminars/APEC09.pdf.
29
[21] M. Daowd, M. Antoine, N. Omar, P. van den Bossche,
and J. van Mierlo, “Single Switched Capacitor Battery Balancing
System Enhancements,“ Energies, Vol.6, pp.2149-2174,2013.
[22] C. Karnjanapiboon, Y. Rungruengphalanggul, and I. Boonyaroonate, "The low stress
voltage balance charging circuit for series connected batteries based on buck-boost
topology," in Proc. IEEE Circuits and Syst. Symp., pp.III-284,III-287, 2003.
[23] J. Xu, S. Li, C. Mi, Z. Chen, and B. Cao, "SOC Based Battery Cell Balancing with a Novel
Topology and Reduced Component Count," Energies, Vol.6, 2726-2740, 2013.
[24] Yevgen Barsukov, "Battery Power Managemnt for Portable Devices," Artech House
Publishers, 2013.
[25] J. F. Reynaud, C. E. Carrejo, O. Gantet, P. Aloïsi, B. Estibals, and C. Alonso, "Active
Balancing Circuit for Advanced Lithium-Ion Batteries Used in Photovoltaic Application,"
in Proc. Renewable Energies and Power Quality Conf., 2010.
[26] N. H. Kutkut, "A Modular Nondissipative Current Diverter for EV
Battery Charge Equalization," in Proc. 13th Annu. IEEE Appl. Power Electron.
Conf. Expo., 1998, pp. 686-690.
[27] Y-S. Lee and M-W. Cheng, "Intelligent Control Battery Equalization for Series Connected
Lithium-Ion Battery Strings," IEEE Trans. Ind. Electron., vol. 52, pp. 1297-1307, 2005.
[28] Y-S. Lee, C-Y. Duh, G-T. Chen, and S-C. Yang, "Battery Equalization Using Bi-
directional Cuk Converter in DCVM Operation," in Proc. 36th Annu. IEEE Power Electron.
Spec. Conf., 2005, pp. 765-771.
30
[29] Y-S. Lee and J-Y. Duh, "Fuzzy-Controlled Individual-Cell Equaliser Using Discontinuous
Inductor Current-Mode Cuk Convertor for Lithium-Ion Chemistries," IEE Electric Power
Applications Proc., vol. 152, pp. 1271-1282, 2005.
[30] Y-S. Lee, C-E. Tsai, Y-P. Ko, and M-W. Cheng, "Charge Equalization Using Quasi-
Resonant Converters in Battery String for Medical Power Operated Vehicle Application,"
in Proc. Power Electron. Conf., 2010, pp. 2722-2728.
[31] S-M. Wang, M-W. Cheng, Y-S. Lee, R-H. Chen, and W-T. Sie, "Intelligent Charged
System for Lithium-Ion Battery Strings," in Proc. 31st Annu. IEEE Int. Telecommun.
Energy Conf., 2009, pp. 1-6.
[32] M-W. Cheng, S-M. Wang, Y-S. Lee, and S-H. Hsiao, "Fuzzy Controlled Fast Charging
System for Lithium-Ion Batteries," in Proc. Power Electron. and Drive Syst. Conf., 2009,
pp. 1498-1503.
[33] X. Lu, W. Qian, F. Z. Peng, "Modularized Buck-Boost + Cuk Converter for High Voltage
Series Connected Battery Cells," in Proc. 27th Annu. IEEE Appl. Power Electron. Conf.
Expo., 2012, pp.2272-2278.
[34] A.V. Peterchev, X. Jinwen, and S.R. Sanders, "Architecture and IC Implementation of a
digital VRM controller," IEEE Trans. Power Electron., vol. 18, pp. 356–364, Jan 2003.
[35] "LTC3300-1 - High Efficiency Bidirectional Multicell Battery Balancer," Datasheet,
Linear technology, [online]. Available: www.linear.com.
[36] Y. C. Hsieh, C. S. Moo, W. Y. Ou-Yang , "A Bi-directional Charge Equalization Circuit
for Series-connected Batteries," in Proc. Power Electron. and Drives Syst. Conf., 2005,
pp.1578-1583.
31
[37] Y. Zeng, Z. He, M. Gao, and H. Pan, "An Active Energy balancing System for Lithium-
Ion Battery Pack," in Proc. Computer Science and Electron. Engineering Conf., 2013, pp
118-121.
[38] C. Bonfiglio and W. Roessler, "A Cost Optimized Battery Management System with
Active Cell Balancing for Lithium Ion Battery Stacks," in Proc. IEEE Vehicle Power and
Propulsion Conf., 2009, pp.304,309.
[39] J-W. Shin, G-S. Seo, C-Y. Chun, and B-H. Cho, "Selective Flyback Balancing Circuit with
Improved Balancing Speed for Series Connected Lithium-Ion Batteries," in Proc. Int.
Power Electron. Conf., 2010, pp.1180-1184.
[40] H-S. Park, C-E. Kim, G-W. Moon, J-H. Lee, and J. K. Oh, "Two-Stage Cell Balancing
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Power Electron. Spec. Conf., 2007, pp.273-279.
[41] S. Li, C. Mi, and M. Zhang, "A high efficiency low cost direct battery balancing circuit
using a multi-winding transformer with reduced switch count," in Proc. 27th Annu. IEEE
Appl. Power Electron. Conf. Expo., 2012, pp.2128-2133.
32
Chapter 3
Assisting Converter Based Integrated Battery
Management System for Electromobility Applications
This chapter introduces a high power density battery management system for electromobility
applications that integrates voltage step-up and cell balancing functions inside a single converter
topology. The introduced system is based on assisting conversion concept, implemented with
multiple dual active bridge (DAB) converter modules. The assisting conversion, where the
33
converter is only processing a portion of the output power proportional to the voltage difference
between the battery pack and the output of the converter, allows for the use of a smaller converter
than those of conventional systems. Also, at the system level, this type of conversion results in a
higher power processing efficiency. The modular structure of the converter provides multiple
connections to battery cells and allows on-line cell balancing, both during charging and
discharging of the battery pack. The operation of the system is regulated by a practical digital
controller that performs cell balancing and, at the same time, regulates the output voltage. The
principle of operation and the practical implementation aspects of the assisting DAB converter are
explained and addressed in the following sections.
3.1 Introduction A general power management system for electromobility applications, such as electric vehicles
(EV) [1], hybrid electric vehicles (HEV) [2], small task-oriented vehicles (STOV), E-bikes, or
electric scooters [3]-[4], is shown in Fig.1.a. It consists of a battery pack, a step-up stage (usually
a bidirectional boost-based converter), an on-board or an off-board battery charger, and a motor
drive providing power for an electric motor. Usually, all the blocks are implemented separately.
In some, relatively rare cases, power management systems also include an additional cell balancing
circuit [5]-[19], which compensates for different states of charges (SOC) of individual cells,
occurring due to the variations in the manufacturing process, aging, and other external influences
[20]. In most frequently used architectures, having long strings of cells connected in series, for
safety and cell protection reasons, the charging process stops when the cell with the highest SOC
is charged, even though other cells have not been fully charged. Similarly, the battery pack is
disconnected when the cell with the lowest SOC reaches a low threshold value, even though the
34
other cells are still able to provide power. The balancing circuits [5]-[19] minimize the SOC
differences between the cells and, in that way, significantly extend the effective use of the battery
pack.
Generally, the balancing circuits can be divided into passive and active balancing systems. In
passive systems cells are balanced by dissipating energy from excessively charged cells, through
resistors [5]-[6]. The active balancing systems are far more efficient. In these systems, the energy
of over-charged cells is transferred to those with less charge using dc-dc converters [7]-[19].
Vba
tt
Vou
t
Figure 3.1. (a) Conventional battery power management system for automotive applications (top); (b) assisting converter based architecture (bottom).
35
Even though the benefits of the active cell balancing are known, their use in the targeted
electromobiliy applications is relatively sparse. This is mostly due to an overly large extra
weight/volume and cost they add to the system, which in the targeted mobility applications are of
a key importance and carefully controlled [20].
The primary objective of this chapter is to introduce the battery management architecture of Fig.3.1
(b) that integrates voltage step-up and active balancing functions inside a single converter stage.
At the same time, the entire new architecture has a smaller volume and better power processing
efficiency than a single step-up module of the conventional solutions. By combining functions and
reducing the volume, the introduced system can potentially compensates for the extra cost of the
balancing circuit, both in terms of the price and weight, allowing a wider adoption of active
balancing in the targeted electromobility applications. Also, a correlated potential benefit is an
extension of the range, due to improved power processing efficiency and reduction of the overall
weight of the system. The previously mentioned advantages are obtained by combining assisting
power conversion [21]-[23], where a relatively small step-up converter only processes a portion of
the output power proportional to the voltage difference between the outputs of the converter and
the battery pack, and implementation based on low-voltage dual active bridge (DAB) [24]-[26]
modules.
3.2 Principle of Operation
The architecture of Fig.3.1 (b) has multiple inputs and a single output. The inputs are connected
to the battery cells and the output, i.e. the output capacitor Cf, is placed on top of the battery pack,
forming the total output voltage Vout. Therefore, the converter only provides a portion of the
power, proportional to the difference between the total output voltage and that of the battery pack
36
Vbatt. This reduction in the power processing requirements allows a smaller converter to be used
and also results in systel-level power processing efficiency improvements, as explained in the
next subsection.
Various forms of partial power processing have been proposed for a number of applications [27]-
[33]. Examples include, converters processing difference in power between photovoltaic (PV) cells
[27]–[31], isolated converters for data centers [32], and a converter for a fully-electric airplane
[33]. In all of these systems, the converters processing only a portion of the output power have
demonstrated significant improvements in both power processing efficiency and volume
reduction.
In the new architecture of Fig.3.1 (b) the concept of partial power processing is also utilized and
the functions of the converter are integrated, to include both step-up and the cell-balancing features
without any additional hardware. Also, a single controller, providing regulation of both functions
is introduced, presenting a more reliable and cost-effective solution than two dedicated controllers
usually used in conventional balancing solutions (Fig.3.1 (a)).
3.2.1 Step up function and system level efficiency
The operation of the assisting dual active bridge architecture can be described through block
diagrams of Figs.3.1 (b) and 3.2. As mentioned earlier, it operates such that the stepped-up output
voltage is formed as a sum of the battery pack voltage Vbatt and the output voltage of a bi-
directional multi-input single output converter stage, Vcf, where the inputs of the converter are
connected to the battery cells. In other words, instead of providing the entire output voltage and
power, the converter in this configuration is just assisting the battery by providing a portion of
37
the power. This portion of the output power, Passisting, is proportional to the difference between
the desired output and battery pack voltages, as shown with the following equation:
VVV
PPout
battoutoutassisting
- , Eq.3.1
+-
Vassisting
Vout
+
-Vcelln
+
-
Vcell1-
+
Iout
Passisting n
Passisting1
Vcell2-
+
Passisting2+
-
Vbatt
Figure 3.2. Multi-input assisting converter.
where, referring to Fig.3.2, Passisting = Passisting1 + Passisging2+ … + Passistingn is the total power
delivered by all converter modules, Pout is the output power delivered to the load, Vbatt is the
battery pack voltage, and Vout is the output voltage of the converter.
This reduction in the power processing requirements allows a smaller converter to be used,
compared to conventional solutions of Fig.1.a, and also makes achieving a high power processing
efficiency at the system level easier. The efficiency improvements can be explained by looking
at the general equation for the system efficiency,
system Pout
Pout Plosses, Eq.3.2
38
and by combining (3.1) and (3.2)
11
1
1
assistingout
battout
system
V
VV
, Eq.3.3
where Plosses are power losses of the assisting converter, ηassisting is the efficiency of the assisting
converter, and it is assumed that the direct energy transfer from the battery is lossless. These
equations show that the system-level efficiency is significantly higher than that of the assisting
converter itself. For example if the converter processes a 20% of the output power and has 80%
efficiency, the overall system efficiency of a 95.2% is achieved (90.9% if a 40% of Pout is
processed). It means that, in order to achieve targeted overall system efficiency, the assisting
converter can be designed with much less stringent power processing requirements than the
conventional solutions, further reducing the overall system cost and complexity.
3.2.2 Cell balancing during movement, plug-in, and standstill modes of operation Two modes of operation take place during the vehicle/scooter movements, the first mode of
operation is motor mode of operation of the electric machine, i.e. motoring mode, and the second
mode of operation is generator mode of operation of the electric machine, i.e. regenerative braking.
In both modes, the battery charger is disconnected, as shown in Fig.3.3. During motoring mode,
the assisting converter is controlled to provide a regulated dc voltage, Vout., for the motor drive
while implementing battery cell balancing at the same time. The balancing is done by controlling
cells currents such that the cells with higher SOC provide more current than the others. During
regenerative braking, the motor drive operates as a rectifier with output voltage, Vreg. Since, as
indicated with Fig.3.2, the converter is bidirectional, during this mode the converter operates as a
39
step down stage and the braking energy is recycled back to battery pack. At the same time the cell
balancing is performed in a similar manner as in the previous case.
During the plug-in mode, shown in Fig.3.4, the vehicle/scooter cannot be driven, because of the
charging interlock [34]. In this mode the motor drive does not draw any current and the system
can be described with the diagram shown in Fig.3.4. Now, the assisting converter operates as an
Figure 3.3. Operation during movements.
Figure 3.4. Plug-in mode of operation.
40
active balancing circuit that transfers energy between cells, to achieve cell balancing. During this
mode the output voltage is still regulated in order to allow for bidirectional energy transfer.
At standstill, i.e. during parking or in traffic, the motor drive does not draw current, i.e.
considered to be disconnected, and the battery charger is not connected as well. During this mode
of operation, cell balancing is done, similar to plug-in mode, by transferring energy between cells
while maintaining the desired output voltage, as shown in Fig.3.5.
3.3 Assisting Converter Based on Isolated Dual Active Bridge Topology An implementation of the assisting converter based on a multi-phase isolated dual active bridge
converter is shown in Fig.3.6. In addition to providing bi-directional energy flow, the dual active
bridge (DAB) [24]-[26] has a number of other features that make it attractive for the targeted
applications. Those include high power processing efficiency (achieved through inherent zero
voltage or current switching) and much smaller inductor volume comparing to the conventional
hard switching and resonant topologies. The small inductance value opens a possibility for
Figure 3.5. Operation during standstill.
41
elimination of a discrete inductor through the utilization of the transformer leakage inductance.
The system of Fig.3.6 consists of a number of transformers whose primary windings are
connected to the individual battery cells and the secondary windings linked to the output
capacitor, through small inductors. An implementation based on a multi-tap transformer is also
possible as shown in Fig.3.7. A digital controller implementing phase-shift modulation regulates
the operation of this converter. The phase shift control provides both the output voltage regulation
and cell balancing through the regulation of the currents of the individual cells during motoring
Figure 3.6. Assisting converter based on multi-phase dual-active bridge (DAB) converter.
42
and regenerative braking modes or by transferring energy between battery cells during plug-in
and standstill modes of operation. The details of the digital controller are discussed in the next
section. It should be noted that the power transfer equation from only one cell to the output is
described by Eq.3.4. The derivation of the power transfer equation is done in appendix A.
Lπω
φπφVVnP
kkcfcell
k
)-(= , Eq.3.4
Figure 3.7. Alternative implementation based on multi-winding transformer.
43
where Vcell is the voltage of the battery cell, n the turns ratio of the transformer, Vcf is the voltage
of the floating capacitor (Figs. 3.1 (b), 3.6, and 3.7), = 2fsw where fsw is the switching
frequency of the converter, and φk is the phase shift (delay) between the voltages v1(t) and v2(t),
shown in Figs.3.8 and 3.9.
Figure 3.8. A dual-active bridge (DAB) converter module.
Figure 3.9. Key voltage waveforms of a DAB module.
44
3.4 Practical Implementation 3.4.1 Controller
The main goal of the controller of Fig.3.6 is to maintain the output voltage at the desired value
while providing cells balancing during the previously described modes of operation. The control,
whose more detailed diagram is shown in Fig.3.10, is performed through phase shift modulation,
where the angle on the secondary side is used for the output voltage regulation and set of the
angles on the primary (relative phase shifts) for cell balancing.
Mode select input, shown in Fig.3.6, is used to differentiate between the regenerative braking
mode and the rest of the modes of operation. For all modes of operation except for regenerative
braking, the controller regulates the output voltage at the desired value while controlling cells
currents during motoring mode and transferring energy between cells during standstill and plug-
Voltage Loop
PID Comp.
Vref [n]
Hvout [n]
+-
Secondary side phase
shift modulator
Relativephase shift calculator
Primary side phase
shift modulator
Power stage
Voltage attenuator
HADC
e[n]Secondary
pulses
Primary pulses
v[n]
vout(t)
Controller
SOC
r1[n] to r4[n]
Hvout(t)
Mode select
reg1[n] to reg4[n]
Figure 3.10. The block diagram of the used controller.
45
in modes. For these modes of operation, voltage loop is implemented in a digital fashion. The
attenuated output voltage Hvout(t) is converted into its digital equivalent with an analog-to-digital
converter (ADC) Hvout[n]. This value is then compared to the desired reference Vref[n] and the
resulting error e[n] is passed to voltage loop PID compensator. The compensator calculates a
value v[n], which is the input for the secondary side phase shift modulator. Based on this input,
the secondary side phase shifter adjusts the phase shift between the secondary side switches and
one of the set of primary side switches, i.e. reference set, such that the desired output voltage is
obtained.
The relative phase shifts between the DAB modules on the primary sides are adjusted based on
the cells state of charge (SOC). The calculation of the relative phase shifts between primary side
modules is performed by the primary side phase shift calculator, which sends two different
control signals sets, r1[n] to r4[n] and reg1[n] to reg4[n]. During all modes of operation except
for regenerative braking, only the first control signals set, r1[n] to r4[n], are used to generate
primary side gating pulses from primary side phase shift modulator.
During regenerative braking, the second set of control signals, reg1[n] to reg4[n], are used by the
primary side phase shift modulator and the secondary side phase shift modulator assigns a
predefined phase shift, rather than using the output of the PID compensator which takes place in
the rest of the modes, to the secondary side module such that secondary side gating pulses lead
primary side pulses and hence braking energy can be recycled back to battery cells.
46
With the respect of the methods for calculating the relative phase shifts for cell balancing, two
different methods have been investigated, named simultaneous and one-by-one cell balancing.
Key waveforms of the both schemes for a 4-cell battery system are shown in Figs.3.11, 3.12, and
3.13. In this case, the primary signals of the DAB module connected to the cell 4 are used as a 0
angle reference for setting up the phase shift of the voltage loop, i.e. for the anglev.
3.4.1.1 Simultaneous balancing
In simultaneous balancing, the relative phase shifts between the primary sides of the DAB
modules are assigned based on their SOC. Ideally, the relative angle for each of the modules
would be calculated from Eq.(4), based on the desired output voltage, required output power, and
SOC information.
Vcell1<Vcell2<Vcell3<Vcell4
Figure 3.11. Gate driving sequence of primary side modules (Fig.3.6) for the simultaneous cell balancing (left) and one-by-one cell balancing (right) for motoring mode. Top four
waveforms: gate drive signals of Qk1 transistors (Fig.3.4) of the four cells on the primary side; Bottom waveforms: gate drive signals of the transistor Q1 on the secondary side.
47
This control strategy would provide simultaneous charging/discharging of all cells that is in perfect
accordance with their SOC. However, from the practical point of view, the direct implementation
of such a method would be quite challenging. The challenges are related to high computational
requirements, especially when large numbers of battery cells are used. Hence, to reduce the
hardware complexity, a simplified balancing method is applied. In this implementation, one of 4
pre-defined discrete values of the relative phase shifts is assigned to each cell, depending on its
state of the charge. The gate driving signals of the transistors from Fig.6 for this modulation
scheme are shown in Fig.3.11. In this case it is assumed that cell 1 has the lowest SOC and,
therefore, Vcell1 is the lowest. Also, it is assumed that Vcell2 < Vcell3 < Vcell4. It can be seen that with
the respect of the signal on the relative phase shifts are set such that the cell with the lowest SOC
has the lowest angle and, according to Eq. (4), delivers the smallest amount of energy.
Figure 3.11 shows cell balancing scheme during motoring mode of operation. It should be noted
that during this mode of operation the lowest SOC cells are disconnected at medium-to-light loads
as explained later which results in secondary side phase shift value, v[n], is larger than the relative
phase shifts of the active phases which means energy transfer between battery cells is not used
during this mode of operation. Figs. 3.12-3.14 show simulation results for this mode of operation.
Figure.3.12. Simulation results for ac wave forms for primary and secondary sides during simultaneous balancing during motoring mode of operation when cells are not balanced.
48
During charging and standstill, the same primary gate driving signals, from Fig.3.11, are used. The
PID compensator naturally sets the secondary side phase shift at a value located between the
primary side relative phase shifts to keep that output voltage in regulation. That is done to allow
for bidirectional energy transfer and not to exceed the voltage rating of the secondary side devices.
Figure.3.13. Simulation results for converter operation when all cells are balanced.
Figure.3.14. Simulation results for converter operation during simultaneous balancing
for battery cells.
49
Under these conditions, energy is transferred between cells since secondary side phase shift is
located between the primary side relative phase shifts, r1 to r4, and primary modules with
overcharged cells are assigned gating pulses that lead the gating pulses of primary side modules
with undercharged cells. An example of gating pulses during these modes of operation where
energy is transferred from the top two cells to the bottom two cells is shown in Fig. 3.15.
During regenerative braking, the primary side phase shift modulator assigns different relative
phase shift set, reg1 to reg4 as shown in Fig. 3.16, to primary side modules such that secondary
side pulses lead the primary side pulses, and hence recycling energy back to battery cells. In this
case cell balancing is done, very similar to motoring mode, by making the cell with the lowest
SOC has the lowest angle and hence receives the smallest amount of energy. Figure 3.17 shows
simulation results for this mode of operation.
Q11
Q21
Q31
Q41
Q1
φr
φv
Ɵ π 2π 0
Set by the PID
Figure 3.15. An example for energy transfer between battery cells during plug-in and standstill modes of operation for simultaneous cell balancing (left) where energy is transferred from the
top two cells to the bottom two cells and one-by-one balancing (right) where energy is transferred from the top three cells to the bottom cell.
50
Figure 3.16. Gate driving sequence of primary side modules (Fig.3.6) for the simultaneous cell balancing (left) and one-by-one cell balancing (right) for regenerative braking. Top four waveforms: gate drive signals of Qk1 transistors (Fig.3.4) of the four cells on the primary side; Bottom waveforms: gate drive signals of the transistor Q1 on
the secondary side.
Figure.3.17. Simulation results for converter operation during simultaneous balancing
in regenerative braking mode.
51
3.4.1.2 One-by-one balancing
The simultaneous cell balancing method takes a lot of time for balancing the cells with similar
SOC and/or when most of the cells are close to their full capacity. As an alternative solution, one-
by-one cell balancing method is investigated. In this case the Phase Shift Calculator keeps all but
one primary side modules in phase, as shown in Fig. 3.11. The single module that is out of the
phase is used for cell balancing of the correspondent battery cell. The phase shift of this cell can
be arbitrary set, depending on the SOC of the cell and desired speed of balancing. This control
scheme allows fast balancing of individual cells even when they are close to their full state of
charge and/or have similar state as the other cells. In this case, again, the module connected to the
cell 1 has the lowest angle with respect to the secondary side and, therefore, delivers the smallest
amount of energy. It should be noted that during motoring, plug-in, standstill, and regenerative
braking modes the same approach explained with simultaneous balancing is utilized and shown in
the right hand side of Figs. 3.11, 3.15, and 3.16 respectively. Figures 3.18, 3.19, and 3.20 shows
the simulation results for one-by-one balancing technique during motoring, energy transfer
between cell, and regenerative braking modes of operation respectively.
Figure.3.18. Simulation results for converter operation during one-by-one balancing in
motoring mode.
52
Also figure 3.21 shows simulation results of light-to-heavy and heavy-to-light transient response
of the assisting DAB converter.
Figure.3.19. Simulation results for converter operation during transferring energy between
battery cells.
Figure.3.20. Simulation results for converter operation during one-by-one balancing in
regenerative braking mode.
53
3.4.1.3 Secondary Side Phase-Shift Modulator (PSM) with Merged Dead-Time Generator
The secondary side phase shift modulator (PSM) generates phase-shift modulated pulses for all
four transistors on the secondary side. It also incorporates a programmable non-overlapping time
generator (dead time generator), which prevents simultaneous conduction of two transistors
sharing the same branch. The operation of this block can be described by looking at the diagram
of Fig.3.22 and its key waveforms, shown in Fig.3.23.
The architecture of the secondary side PSM is a similar to that of a counter-based pulse width
modulator (PWM) [35]. However, the main difference is that, in this case, 4 pulses having
constant on time of:
dsw
on tT
t 2
, Eq.3.5
are produced and that the starting time, i.e. the rising edge, of the pulses is varied. In Eq.3.5, Tsw
is the switching period and td is the non-overlapping time.
Figure.3.21. Simulation results of transient response of the assisting DAB converter.
54
Also, one important difference in comparison with the conventional architecture is that the circuit
of Fig.3.22 incorporates dead-time block, which in other architectures is usually designed as a
separate block.
The same digital block is used throughout all modes of operation. That is done by using a single
2-to-1 multiplexer, shown in Fig.3.22, that allows selection between a predetermined phase shift,
φreg[n], chosen such that the maximum cell current is not exceeded, used in regenerative braking
and the output of the PID compensator, φv[n], used for the rest of modes of operation.
The phase shift modulated pulses are formed through comparisons of a staircase signal, created
by the Nc-bit counter, with four values, generated by the multiple-adder. The values at the output
of the adder are created based on two digital inputs, [n] and td[n], which are digital equivalents
of the desired phase shift in the time domain and the dead time, respectively. As shown in
Figs.3.22 and 3.23 the rising edges of the control signals for Q1 and Q4 (Fig.3.6) are formed when
the counter reaches the value [n] + td[n] and SR latch 2 is triggered. This pulse ends when the
counter counts to [n] + 2Nc-1 and the latch 2 is reset, where 2Nc-1 corresponds to the duration of
a Tsw/2 interval. Similarly, the rising and falling edges of the control signals for Q2 and Q3 are
formed when the counter [n] + td[n] + 2Nc-1.
55
Figure 3.22. Secondary side phase shift modulator with integrated non-overlapping time
generator.
Ɵ
2π 4π
c[n]
0
φ[n]+td[n]
φ[n]+2Nc-1
π -Ɵtdφ+Ɵtd
Q1 & Q4
Ɵ π -Ɵtd
tTswTsw/2-td Tsw/2-td 2Tsw
t
2Nc-1 2Nc-1
Ɵ
φ[n]
Ɵ 4π 2π 0 φ
Q2 & Q3
t2TswTsw
t
c[n]
φ[n]+td[n]+2Nc-1
2Nc-1 2Nc-1
Figure 3.23. Key waveforms of the secondary side phase shift modulator with integrated
dead time block.
56
3.4.1.4 Primary Side Phase-Shift Regulators (PSM) with Merged Dead-
Time Generator
The system of Fig.3.24 produces 4 phase-modulated signals with different r angles for a k-
module assisting converter. The four PSMs have the same architecture as the previously
described system of Fig.3.22 and operate in the same manner. To synchronize operation with the
primary side modulator, all 4 PSMs use the output signal of the Nc-bit counter of Fig.3.22, c[n],
as a reference ramp.
The eight pulse-shift modulated signals at the outputs of the PSMs, i.e. 1 to 4 and their
complements, are connected to the primary side gate drivers of the k modules (Fig.3.6), through
a set of 4-to-1 multiplexers, where 2 multiplexers are assigned to each of the k modules. The
phase shifts of individual modules are determined through m1 to mk control signals, that select
Figure 3.24. K-output primary side phase shift modulator with merged dead-time generator.
57
which of the four pulse-shift modulated signals will be passed to the individual modules based
on SOC of the cells. It can be seen that in this implementation all modules share the same set of
PSM blocks, and only two additional 4-to-1 multiplexers are required per module, i.e. per battery
cell. The mode select along with four 2-to-1 multiplexers are used, as described earlier, to select
between regenerative braking mode and the rest of modes of operation. In regenerative braking
mode, 4 different primary side phase shift values, as shown in Fig.3.24, are selected such that
secondary side pulses lead primary side pulses and hence braking energy is recycled to battery
cells while implementing cell balancing.
3.4.2 Snubber Capacitors and EMI Minimization
In dead time periods, the inductor current flows through drain-to-source capacitances of the
mosfets. This current discharges the capacitances of the mosfets that turn on after the dead time
period and charge the capacitances of the mosfets that turn off after the dead time period. For
illustration, one dead time period is shown for the primary side switches where the inductor
current, iLP, charges Cpar11 and Cpar22 and discharge Cpar13 and Cpar14 as shown in Fig.3.25.
Figure 3.25. Resonant charging/discharging of the parasitic capacitances.
58
During this time period, the inductor current flows through the parasitic capacitances, total path
inductance (sum of the power transfer inductor, leakage inductances of the transformers, and
parasitic inductance of the traces), and path resistances (the resistances of the transformer, traces
and the power transfer inductor). That results in resonant charging/discharging of parasitic
capacitances and high ringing frequency and voltage overshoot across mosfets take place, as
shown in Fig. 3.26. That happens due to small values of the parasitic capacitances, inductance,
and resistance [36]. The high ringing frequency has a negative impact on electromagnetic
compatibility (EMC) and the voltage overshoot can damage mosfets. Adding a small mica or
ceramic capacitor (Cs), shown in Fig.3.28, in parallel with each switch decreases the ringing
frequency and the voltage overshoot, and also aids in decreasing mosfets turning-off power losses
[26]. It should be noted that the same situation happens for the secondary side switches as well.
Figure 3.26. Ringing and overvoltage across mosfets.
59
3.4.3 Input Filter for Reducing Battery Current Ripple
The waveform of Fig. 3.27 shows that the current provided by battery cells has large variations.
These variations could reduce battery life time due to the heating effect because of the battery
internal resistance [37]. It’s recommended to keep the input current ripples when designing dc-
dc converters for electromobility applications below a 10% of the average input current [38].
To eliminate this effect, a decoupling capacitor Cdec is placed across the primary side bridge, as
shown in Fig. 3.28. Together with the parasitic inductance of the connecting wires; this capacitor
forms a second order filter that drastically reduces the input current ripple.
Figure 3.27. Input current waveform of the DAB converter.
Figure 3.28. DAB with added snubber and filtering capacitors.
60
3.4.4 Efficiency Improvement at Light-to-Medium Loads
The DAB converter runs at low efficiency at relatively light loads because of the large inductor
current under this load condition and also due to the loss of the ZVS [24], [39]. In order to
improve efficiency of the converter at light-to-medium loads; phase-shedding [40]-[41] is
utilized. In this technique, one or modules are disconnected such that the remaining modules are
able to provide the load requirements at better overall efficiency.
It should be noted that phase shedding does not help only in extending high efficiency range, but
it also aids cells balancing. The shedded phases are chosen to be the phases with the lowest SOC
cell so that the lowest SOC cells supply further less power.
3.4.5 Gate Driving
In the introduced architecture, primary and secondary side mosfets can be driven using simple
low/high side gate drives, i.e. half bridge gate drives, and level shifters supplied from the battery
cells and one auxiliary power supply, which can be a small battery placed on top of the battery
pack in its simplest form, such that there is no need for expensive isolation techniques such as
opto-couplers or pulse transformers. This driving scheme is suitable for switching frequencies
up to hundreds of kilo hertz. The signal mosfets along with the two zener diodes are used to level-
shift the gating signals produced by the controller, which shares the same ground with the power
stage, to a suitable level where it can turn on/off the low/high side gate drives. Also, a schottky
diode is connected in parallel with the zener diode at the input of the gate drives to reduce the
negative voltage across the input of gate drives. Figures 3.29(a)-3.29(e) show the driving scheme
for the primary and secondary sides’ mosfets. It should be noted that this driving scheme can be
used with a larger number of cells by using decentralized controllers for each group of cells.
61
Controller
Power stage ground
Cell 1 groundCell 2 ground
Cell 3 ground
12V from LDO with respect to the
cell ground
HS/LSGD
To the Power mosfets of
cell 4 primary side modules
Power stage ground
(a)
Controller
Power stage ground
Level shifter mosfet
R1
R2
10V
12-18V
Cell 3 ground
Cell 3 ground
12V from LDO with respect to the
cell 3 ground
HS/LSGD
To the Power mosfets of
cell 3 primary side module
Power stage ground
Vz=3.3V
From Vcell 2
3KΩ
1KΩ
1KΩ
Vz=10V
Schottky
(b)
Controller
Power stage ground
Level shifter mosfet
R1
R2
16V
16-24V
Cell 2 ground
Cell 2 ground
12V from LDO with respect to the
cell 3 ground
HS/LSGD
To the power mosfets of
cell 2 primary side modules
Power stage ground
Vz=3.3V
From Vcell 1
3KΩ
2.5KΩ
1KΩ
Vz=16V
Schottky
(c)
62
Controller
Power stage ground
Level shifter mosfet
R1
R2
22V
28-36V
Cell 1 ground
Cell 1 ground
12V from LDO with respect to the
cell 3 ground
HS/LSGD
To the Power mosfets of
cell 1 primary side modules
Power stage ground
Vz=3.3V
From aux. supply on top of the battery pack
2.2KΩ
Vz=22V
1.67KΩ
2KΩ
Schottky
(d)
Controller
Power stage ground
Level shifter mosfet
R1
R2
28VOutput ground
Output ground
12V from LDO with respect to the
cell 3 ground
HS/LSGD
To the power mosfet of the
secondary side module
Power stage ground
Divider ratio=1.75
Vz=3.3V
28-36VFrom aux. supply on
top of the battery pack
Schottky
Vz=28V
2.2KΩ
3KΩ
3.6KΩ
(e)
Figure 3.29. Gate driving scheme, (a) gate driving scheme for cell 4 primary side module, (b)
gate driving schemer for cell 3 primary side module, (c) gate driving scheme for cell 2 primary
side module, (d) gate driving scheme for cell 1 primary side module, (e) gate driving scheme for
secondary side module.
3.4.6 Volume of Passive Components and Silicon Area Comparison
3.4.6.1 Passive Components Volume Comparison
Since the conventional DAB converter is known to have higher power density than the
conventional hard switched PWM dc-dc converters, due to a small power transfer inductor that
can be integrated with the transformer and ZVS which enables operation at higher switching
frequency without affecting converter’s efficiency significantly [24], [42], the comparison is
63
held between the assisting DAB and the conventional DAB converters. Regarding the magnetic
components volume comparison, the assisting DAB converter has a 13% smaller power transfer
inductors volume and 26% smaller total transformers volume than those of a conventional DAB
converter that runs at the same switching frequency, has lower power processing efficiency, and
processes full output power, knowing that inductors volume is proportional to their energy
storage requirements ½ LI2 and forward transformers area product is proportional to their power
handling capability [43]. Transformer core volume is related to its area product, AP, by the
following equation [44]
)(75.0
APVolume Eq.3.6
The input filter capacitors are designed, for the targeted applications, such that the assisting and
conventional DAB converters have input current ripples less than a 10% of the average cells
currents [38]. The assisting DAB converter requires 80 µF input filter capacitors rated at cell
voltage, formed using a combination of low-equivalent series resistance (ESR) capacitors such
as 8*10µF, 6.3 V capacitors with ESR as low as 2.5mΩ [45], while the conventional DAB
converter requires a 55µF input capacitor rated at the full input voltage to achieve the design
criterion. Compared to the conventional DAB converter, the assisting DAB converter has around
64% smaller input capacitor volume, knowing that capacitors volume is proportional to their
energy storage requirements ½ CV2. It should be noted that both converters have approximately
the same input voltage variation when using the previously mentioned capacitance values.
The output capacitor of the assisting DAB converter is designed such that the voltage ripples
across the flying capacitor, Cf, in addition to voltage ripples across the input due to battery
internal resistance is equal to the voltage ripples across the output of the conventional DAB
converter and less than 1% of the rated output voltage [38]. The input filter, formed by the
64
parasitic inductance and the input filter capacitors, results in less than 10% current ripples drawn
from each cell and the internal resistance of the used cells is below 8mΩ [46]. Compared to the
conventional DAB, the assisting DAB converter has around 59% less output capacitor volume
when both converters have a 1% output voltage ripples [38].
3.4.6.2 Semiconductors Area Comparison
The minimum silicon area required to implement the assisting DAB and conventional DAB
converters can be compared by looking at the summation of the semiconductor stresses for each
converter. The assisting DAB converter has around 28% less silicon area than that of the
conventional DAB converter. The savings in silicon area comes as a result for using switches
with lower blocking voltages and less current stresses compared to the conventional DAB
converter. Figure 3.30 summarizes the normalized comparison between the assisting and
conventional DAB converters.
0 20 40 60 80 100
Inductors
Transformers
Output Cap.
Input Cap.
Switches area
Assisting DAB
Conventional DAB
Figure 3.30. Normalized comparison between conventional and assisting DAB converters.
65
3.5 Experimental Result To verify the previously described concepts, a 4-cell, 200W experimental setup has been built and
tested. At the input, four 6V, 12 AH Lead-Acid cells are used. The DAB stages operate at
switching frequency of 100 kHz and provide a 48V regulated output which makes the converter
nominally processes a maximum of a 66% of the output power. In the targeted automotive
applications 48V and 200W is used in small scooters [47]-[48]. It should be noted that the same
concept can be extended to larger number of cells and higher power applications such as electric
and hybrid electric vehicles as shown in appendix B. The power stage of the prototype is
implemented with discrete components and the controller is designed using an FPGA-based
development board. In this implementation SOC information is assumed to be available from an
external circuit operates based on cells terminal voltages. Table 3.1 shows experimental setup
components and parameters.
Figures 3.31 and 3.32 shows the ZVS of the primary side and secondary side switches of the
assisting DAB converter. Figures 3.33, 3.34, and 3.35 demonstrate operation of the assisting DAB
converter as an integrated step-up converter and a balancing circuit. Figure 3.33 shows the primary
side currents, which represents the power delivered by each phase, iP1 to iP4, (Fig.3.6) and the
output voltage for the case when the four cells are balanced. It can be seen that the converter
simultaneously provides equal current sharing and tight output voltage regulation. Figure 3.34
demonstrates the simultaneous cells balancing operation when Vcell4>Vcell3>Vcell2>Vcell1. It can be
seen that iP4 >iP3 >iP2 >iP1 while tight output voltage regulation is still obtained. Figure 3.35
demonstrates the one-by-one cell balancing when the top cell is undercharged. It can be seen that
the top cell provides less current than the rest of the cells while tight output voltage regulation is
still obtained. Figure 3.36 demonstrates the mode of operation where the energy can be transferred
66
between the cells which can be used at standstill and during plug-in modes. It can be seen from
Fig. 3.36 that the top three cells transfer power to the fourth cell. Also it should be noted that the
cells currents have small ripples thanks to the input filter as described in section 3.4.3.
Figure 3.31. ZVS in primary side modules.
Figure 3.32. ZVS in secondary side module.
67
Figure 3.33. Assisting DAB converter operation when the four cells are balanced, iP1, iP2, iP3, and iP4 are the primary side currents, all current channels are 5A/Div., Vo is
the output voltage (20V/Div.).
Figure 3.34. Assisting DAB converter operation for simultaneous balancing when
Vcell4>Vcell3>Vcell2>Vcell1, iP1, iP2, iP3, and iP4 are the primary side currents, all current
channels are 5A/Div., Vo is the output voltage (20V/Div.).
68
Figure 3.35. Assisting DAB converter operation for one-by-one cell balancing when
top cell is overcharged, iP1, iP2, iP3, and iP4 are the primary side currents, all current
channels are 5A/Div., Vo is the output voltage (20V/Div.).
Figure 3.36. Assisting DAB converter operation for energy transfer between the cells, Icell1,
Icell2, Icell3, and Icell4 are the cells currents, all channels are 2A/Div.
69
Regenerative braking mode is emulated by connecting a dc voltage source, which acts as the
output voltage of the motor drive during regenerative braking, across the battery and the flying
capacitor. Figure 3.37 shows cells currents during this mode of operation. It can be seen that cells
currents are negative which means energy is recycled back to battery cells. Also cells currents
are equally shared, since battery cells are balanced, and have low current ripples due to the
presence of the input filters.
Figure 3.37. Assisting DAB converter operation during regenerative braking emulation when
the four cells are balanced, Icell1, Icell2, Icell3, and Icell4 are the cells currents, all channels are
5A/Div.
70
Figure 3.38 shows the experimental efficiency curve of the assisting DAB converter and an
estimation of the efficiency of the conventional DAB converter. It can be seen that the assisting
DAB converter runs at higher power processing efficiency for the entire operating range
compared to the conventional DAB converter after utilizing phase shedding as explained in
section 3.4.4. Also, It can be seen that the converter runs at a peak efficiency of 95.4% with a
wide range for high efficiencies (the converter operates at a 90% and above for around a 70% of
the operating range and at an 80% and above for around an 85% of the operating range), which
is comparable or even better than the best state of the art solution [25] and better than many
commercially available boost converters [49]-[50]. It should be noted that the converter
efficiency can be further improved, especially at medium and heavy loads, by using switches
rated at the required blocking voltages which is not the case for the current implementation. In
case of using switches with the required blocking voltages, a peak efficiency of around 97% can
be achieved as shown in Fig.3.38.
Figure 3.38. Efficiency curves.
71
Table 3.1. Experimental setup components and parameters
Component Parameters
Primary side switches IRLR7833
Secondary side switches IRFS4228
Low-side gate drives FAN3122
High side gate drives FAN7371
ADC (for Vo measurements) AD9221
Op-Amp (for Vo sensing) LMH6628
Inductor 10 μH
Transformers 1:4 turns ratio, 23μH magnetizing
inductance, 0.5 μH primary side leakage
inductance
Output capacitor 240μF
Primary side snubber capacitors 47nF
Secondary side snubber capacitors 2.2nF
3.6 Conclusions A new system for providing battery balancing and step-up voltage functions for electromobility
applications is introduced. The architecture is based on the assisting DAB converter concept where
72
the converter is used only to provide the difference between the battery pack voltage and the
desired output. In comparison with conventional systems this architecture drastically reduces
power processing requirements of the step-up power stage and relaxes requirements regarding
converter power processing efficiency. An implementation of this concept based on four- phase
bi-directional DAB converter prototype is demonstrated. In comparison with a single step-up
stage, the assisting DAB converter provides more functions, utilizes smaller power stage, and runs
at a higher power processing efficiency. This architecture potentially offers solution for a cost-
effective implementation of balancing feature in automotive applications, where the use of
balancing system is relatively rare.
3.7 References
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[27] P. S. Shenoy, K. A. Kim, B. B. Johnson, and P. T. Krein, "Differential power processing for
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"Module-level DC/DC conversion for photovoltaic systems: the delta-conversion concept,"
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[30] P. S. Shenoy, A. Kim, B. B. Johnson, and P. T. Krein, "Differential power processing for
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77
[38] Monzer Al Sakka, Joeri Van Mierlo, and Hamid Gualous, "DC/DC converters for eletric
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topologies," Ph.D. Dissertation, ETH Zurich, Zurich, 2010.
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converter by changing dynamically the number of phases," in Proc. IEEE Power
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corresponding advanced control schemes to improve light-load performance," in Proc.
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[42] M. H. Kheraluwala and R. L. Steigerwald, "Efficient, high power density, high power factor
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78
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79
Chapter 4
High Power Density Assisting Step-Up Converter with
Integrated Battery Balancing Feature
This chapter introduces a new step-up power converter architecture for portable applications with
multi-cell battery packs that integrates battery cell balancing function. Compared to conventionally
used boost converter, which is not providing cell balancing, the new architecture has smaller
overall volume and approximately the same power processing efficiency. The step-up function is
80
obtained using the assisting concept, where the flyback output is placed at the top of the battery
pack and, therefore, is only processing a portion of the output power. As a result, high power
processing efficiency and small converter volume are achieved. The operation of the system is
regulated by a digital controller that provides the two functions at the same time.
4.1 Introduction A typical battery power management system of a portable application with multiple battery cells,
such as a tablet computer or eBook, is shown in Fig.4.1 [1]. It usually consists of two battery cells,
a front-end dc-dc converter creating a stable intermediate bus voltage, and multiple downstream
point-of-load (PoL) power supplies providing regulated voltages for functional blocks. The power
management systems also include relatively large step-up-converters, for providing voltages for
back panel lighting [2] and flash memory programming [3]. The boost converters provide up to
60% of the total power [4]-[5] and their reactive components take a significant portion of the
overall device volume. In the targeted applications, battery-balancing circuits [6]-[16] are rarely
Figure 4.1. Conventional battery power management system of a portable device.
81
used, even though they can extend the operating time up to three times [17].This is mostly due to
large additional cost and volume conventional balancing systems introduce in those low volume-
driven and cost-sensitive applications.
The main goal of this chapter is to introduce the new high power density step-up converter
architecture of Fig.4.2 that integrates the balancing feature and, at the same time, has a smaller
overall volume of the reactive components than the commonly used boost. As such the topology
potentially allows for a further minimization of the portable devices as well as an extension of the
battery operating time.
The advantages are achieved using a single two-input interleaved flyback [18] and the concept
named assisting conversion [19], where most of the energy for the load is provided directly from
the battery and the converter only assists the battery, by providing a portion of the output power.
The digital controller of Fig.4.2 simultaneously regulates the output converter voltage vout(t) and
the input currents of the flyback, iin1(t) and iin2(t). The input currents of the two phases are
Dc-dcbus
converter
+PoL
PoL
LDO
Loads
Cbus
Vout
+
_
+Vbatt
Vcell1
Vcell2
Vbus V1
V2
Vn
+
_
_
+
_
_Vfb
Cfb
S1
S2
S3
iin1
iin2
ifb_out
Assisting flyback
Digital Controller
H
Rsifbout
SOC
S1 to S3 cnt.
Figure 4.2. Assisting flyback based architecture.
82
determined based on the information about the states of charge (SOC) of the battery cells. The
input of the flyback connected to the cell with higher SOC takes more current, gradually
minimizing the SOC difference and, therefore, extending the battery pack operating time.
4.2 Principle of Operation In the architecture of Fig.4.2, named the assisting flyback architecture, the flyback inputs are
connected to the battery cells and the output of the converter, i.e. the output capacitor, is placed on
the top of the battery pack. Therefore, the converter only processes a portion of the power,
proportional to the difference between the output and the battery pack voltages. This reduction in
the power processing requirements allows a smaller converter to be used and results in power
processing efficiency improvements.
Various forms of partial power processing, to reduce volume and improve efficiency, have been
presented in [20]-[25]. In [20]-[24] converters processing difference in power photovoltaic (PV)
applications to maximize the power delivered by each cell. Also a converter for fully electric
airplane that process a portion of the output power has been presented in [25]. The main advantage
of the presented solution over the previously described work is that it integrates balancing and
voltage control in multi-input single-output converter designed for portable applications.
4.2.1 Assisting Conversion As explained earlier in chapter 3, the advantages of the assisting flyback can be explained by
comparing it to the conventional solution and noticing that the assisting flyback only processes
only a portion of the output power and hence a smaller volume and power processing efficiency
improvement can be achieved.
83
4.2.2 Cells Balancing In order to integrate the balancing feature and the voltage step-up inside a single converter the two-
input assisting flyback converter shown in Fig.4.2 is considered. The assisting converter is a bi-
directional converter and the balancing is done by controlling the amount of current out of each
cell or by transferring the energy between cells.
4.3 Practical Implementation Figure 4.3 shows a practical implementation of the assisting flyback from Fig.4.2. In this case,
each of the ideal switches of the inputs is replaced with a pair of transistors to prevent cross
conduction of the modules. The switch on the output side of the transformer is realized as a
transistor to minimize conduction losses. Figure 4.4 shows the gating sequence of the five
switches. Also, as it can be seen from the figure small input decoupling capacitors, Cin1and Cin2,
are added at the input of each flyback phase which is a requirement for the targeted application
[26]. These decoupling capacitors are added to avoid taking pulsating currents from the battery
cells as explained in the passive components comparison section. In addition, R-C-D snubber
circuit is used with each phase to dissipate the stored energy in the leakage inductance of each
transformer winding. Figures 4.5-4.8 show simulation results for operation of the converter under
balanced and unbalanced condition during heavy and light loads respectively. Also, Fig.4.9 shows
the transient response of the converter during light-to-heavy and heavy-to-light conditions.
84
Figure 4.3. Practical implementation of the assisting flyback and its digital controller.
Figure 4.4. Gating sequences for different scenarios.
85
Figure 4.5. Simulation results for operation of the converter under balanced condition and heavy
load.
Figure 4.6. Simulation results for operation of the converter under unbalanced condition and
heavy load.
86
Figure 4.7. Simulation results for operation of the converter under balanced condition and light
load.
Figure 4.8. Simulation results for operation of the converter under unbalanced condition and
light load.
87
Figure 4.9. Simulation results for transient response of the assisting flyback converter during
heavy-to-light and light-to-heavy loads.
4.3.1 Controller For medium and heavy loads, the flyback operates in continuous conduction mode and its
operation is regulated through voltage mode pulse width regulation. The attenuated output voltage
of the assisting flyback is converted into its digital equivalent HVout[n] with the analog-to-digital
converter ADC1 and compared to the desired reference value Vref[n]. The resulting error signal e[n]
is then passed to the PID compensator that creates control signal d[n], which is proportional to the
desired duty ratio value. This value is then sent to the power sharing logic block that, based on
the state of charge (SOC) information calculates duty ratio values for both flyback inputs, labeled
as d1[n] and d2[n], and passes them to a dual-output digital pulse width modulator developed in
[27]. The information about the state of the charge of the cells is obtained from an external
monitoring circuit. For the case when the cells are balanced the power sharing logic issues the
same duty ratios to both phases and the current is shared equally. When the batteries have different
SOCs the logic issues a larger duty ratio to the phase with higher SOC resulting in a larger current
88
taken from the corresponding cell. In both cases, the two phases of the flyback are operating in
interleaved mode minimizing output capacitor ripple. In the continuous conduction mode of the
flyback information about the current through the output side of the flyback transformer is only
used for protection.
At light loads, when the flyback operates in discontinuous conduction mode the previously
described voltage mode control method cannot be directly used. This is because, in this mode, the
currents of the phases are not always proportional to their duty ratios. In a realistic converter, a
significant difference between magnetizing inductances seen by the two phases could occur and,
consequently a large mismatch in their currents. To solve this problem, a control solution based
on a measurement of the output transformer current during Q3 conduction time can be utilized. In
this case, the obtained information about the current is combined with that about the SOC, to
determine the proper duty ratios for both flyback phases.
4.3.2 Comparison of passive components volume The passive components volume comparison is done by comparing the assisting flyback converter
to a conventional boost that has almost the same efficiency curve and has the same input and output
voltage variations. In order to make both converters run at almost the same efficiency curve, the
assisting flyback converter is switched at 500 KHz while the conventional boost is switched at 400
KHz as shown in the experimental results section. In the targeted application, the main inductor is
designed such that the percentage inductor current ripples at the lowest input voltage and the
maximum output current is less than 35% of the average inductor current [26]. Also, the output
voltage ripples are required to be less than 1% of the output voltage [26]. In addition, a 10µF low-
equivalent series resistance (ESR) ceramic capacitor that acts as a decoupling capacitor is placed
at the input of the power stage [26].
89
The boost inductor and flyback transformer volumes can be compared by looking at their energy
storage requirements, i.e. ½ LI2,
knowing that most of the
transformer volume comes from
the core volume [28] especially in
low-power applications [18]. In
comparison to conventional boost
the assisting flyback converter has
a 20% less magnetic components
volume when both converters are
designed to have a 20% inductor
current ripples. The decoupling
input capacitors are designed such
that the assisting flyback
converter has the same voltage
drop across the input compared to the conventional boost. The voltage drop across the input of the
assisting flyback converter is equal to the peak current through the input capacitor multiplied by
its equivalent ESR in addition to the voltage variations across Cin placed across each cell since the
Figure 4.10. Assisting flyback converter waveforms after
adding decoupling capacitors.
90
assisting flyback
converter operates in
interleaved fashion as
shown in Fig.4.10 and Fig.
4.11.a. The voltage drop
across the input of the
boost is equal to the
inductor current
multiplied by the total sum
of the input resistance of
each cell as shown in
Fig.4.11.b. When using
two 10 µF capacitors
across the input of each
cell the voltage drop
across the input of the
assisting flyback
converter is
approximately equal to
that of the conventional boost, knowing that the ESR of decoupling ceramic capacitors of 10 µF,
6.3V gets as low as 2.5mΩ at the frequency of the flyback current [29] and the input resistance of
the cells used in the targeted application is equal to approximately 10mΩ [30]. Using two 10 µF
capacitors across each flyback input results in having the same input capacitor volume compared
(a)
(b)
Figure 4.11. (a) Input voltage drop calculation for assisting
flyback converter, (b) input voltage drop calculation for
conventional boost converter.
91
to the conventional boost, knowing that capacitors volume is proportional to their energy storage
requirements ½ CV2.
The output capacitor of the assisting flyback converter is designed such that the voltage ripples
across the flying capacitor, Cfb, in addition to voltage variations across the input is equal to the
voltage ripples across the output of the conventional boost. Compared to the conventional boost,
the assisting flyback converter has a 56% less output capacitor volume. In total, the assisting
flyback converter has a 42% less total capacitive volume compared to the conventional boost.
Taking into account that capacitors are approximately 1000 times more energy dense than
inductors in low power applications [31]-[32], the assisting flyback converter has a 23% less
reactive components volume compared to the conventional boost.
4.3.3 Silicon Area Comparison The silicon area required to implement the assisting flyback and boost converters can be compared
by looking at the summation of the semiconductor stresses for each converter. The assisting
flyback converter has around 30% more silicon area than that of the conventional boost. The
increased silicon area comes as a result for integrating cells balancing with voltage control features
in a single converter topology. However it should be noted that most of the converter volume
comes from the passive components, especially inductors, not the semiconductor devices which
means it is favorable to trade off silicon area for passive components volume. Figure 4.12
summarizes passive components volume and silicon area comparisons. Figure 4.13 shows the
contribution of the circuits’ components to the overall volume of both converters. The assisting
92
flyback converter has around a 23% smaller volume compared to conventional boost as shown in
Fig.4.13.
It worth mentioning that the assisting flyback converter uses semiconductor devices with lower
blocking voltage than that of conventional boost which can add a cost benefit in case of on-chip
implementation. In addition, using multiple switches on the primary side gives an advantage of
better heat distribution without degrading the efficiency curve compared to conventional boost as
shown in the experimental results section.
Assisting flyback
Boost
Switches area
Output Cap
Input Cap
Magnetics
Figure 4.12. Normalized values for passive components and silicon area comparisons.
Figure 4.13. Circuits’ components contribution to the overall volume of both converters.
93
4.4 Experimental Results To verify the concept presented in previous sections, an 8-to-12 V, 20W experimental prototype
has been built and tested. In the targeted portable applications 12 V supply voltage is commonly
used for LCD displays [2] and erasable memories [3]. The assisting converter processes only a
45% of the total output power .
The power stage of the prototype is implemented with discrete components and the controller is
designed using an FPGA-based development board. The input side switches operate at switching
frequency of 250 KHz and the synchronous rectifier switch on the output transformer side operates
at 500 kHz. In this implemenation, the SOC information is assumed to be available from an
external circuit that operates based on cells terminal voltage. Table 4.1 shows circuit parameters
and values.
Figures 4.14 and 4.15 demonstrate the operation of the assisting flyback converter at heavy loads.
Figure 4.14 shows the flyback currents, ifb1 and ifb2, (Fig.4.3) and the output voltage for the case
when the two cells are balanced. It can be seen that the converter simultaneously provides equal
current sharing and tight output voltage regulation. Figure 4.15 demonstrates the operation when
the top cell is overcharged. It can be seen that ifb2 is larger than ifb1 and the output voltage is still
regulated at 12V.
Figures 4.16 and 4.17 demonstrate the operation of the assisting flyback converter at light loads.
Figure 4.16 shows the flyback currents and the output voltage when the two cells are balanced.
Figure 4.17 shows the flyback currents and the output voltage when the top cell is overcharged.
94
Figure 4.14. Assisting converter operation when the two cells are balanced at heavy load,
flyback currents, Vout is the output voltage measurement (10V/Div.). ifb1 is the bottom
module flyback current (2A/Div.). ifb2 is the top module flyback current (2A/Div.).
Figure 4.15. Assisting converter operation when the top cell is overcharged at heavy load,
flyback currents. Vout is the output voltage measurement (10V/Div.). ifb1 is the bottom
module flyback current (2A/Div.). ifb2 is the top module flyback current (2A/Div.).
95
Figure 4.16. Assisting converter operation when the two cells are balanced at light load,
flyback currents. Vout is the output voltage measurement (10V/Div.). ifb1 is the bottom
module flyback current (2A/Div.). ifb2 is the top module flyback current (2A/Div.).
Figure 4.17. Assisting converter operation when the top cell is overcharged at light
load, flyback currents. Vout is the output voltage measurement (10V/Div.). ifb1 is the
bottom module flyback current (2A/Div.). ifb2 is the top module flyback current
(2A/Div.).
96
The results of the processing efficiency measurements for the assisting flyback and the
conventional boost are shown in Fig.4.18. The conventional boost is controlled at a lower
switching frequency of 400 KHz to achieve almost the same efficiency curve of the assisting
flyback running at 500KHz at the secondary side. It should be noted that at 500 KHz the assisting
flyback converter achieves peak efficiency of a 93.4% and runs at a 90% efficiency and above for
a 90% of the operating range (from 2W to 20W).
Table.4.1. Experimental setup parameters.
Components Parameters
Mosfets IRF8788 Transformer 1:1:1 turns ratios and 4.7 μH magnetizing
inductance Output Cap 22μF Gate drives FAN3122
Op-Amp (for output voltage sensing) LMH6628 ADC (for output voltage measurements) AD9221
Figure 4.18. Power processing efficiency curves comparison.
83
85
87
89
91
93
95
0 5 10 15 20
EF
FIC
IEN
CY
%
Po (W)
Flyback
Boost
Flyback 500KHz
Boost 400KHz
97
4.5 Conclusions A new step-up power converter architecture for portable applications with multi-cell battery packs
that integrates battery cell balancing function is introduced. The architecture is based on the
assisting flyback converter concept where a low-power converter is used only to provide the
difference between the battery pack voltage and the desired output. The passive components
volume, silicon area, and power processing efficiency of the assisting flyback and conventional
boost designed for the targeted application are compared in this chapter. In comparison with the
conventional boost, the assisting flyback converter integrates the balancing feature, has a 22%
smaller reactive components volume while having approximately the same power processing
efficiency curve.
4.6 References
[1] "TI Tablet Solutions," Datasheet, Texas Instrument, 2013, [online]. Available:
http://www.ti.com.
[2] "TFT LCD Specification: Model Name: TD080WGCA1," Datasheet, Toppoly, [online].
Available: www.distrib-informatique.com.
[3] "MAX662A," Datasheet, Maxim, [online]. Available: http://www.maximintegrated.com.
[4] R. M. Soneira, "Tablet Display Technology Shoot-Out," [online]. Available:
http://www.displaymate.com/Tablet_ShootOut_2.htm.
[5] D. Schmidt, "Samsung Galaxy Tab S 10.5 Tablet Review," [online]. Available
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Review.124253.0.html.
98
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Active Equalization," in Proc. IEEE Vehicle Power and Propulsion Conf., 2007, pp.323-
327.
[7] J.-W. Shin, G.-S. Seo, C.-Y. Chun, and B.-H. Cho, "Selective flyback
balancing circuit with improved balancing speed for series connected Lithium-ion
batteries," in Proc. Int. Power Electron. Conf., 2010, pp.1180-1184.
[8] C. Bonfiglio and W. Roessler, "A cost optimized battery management system with active
cell balancing for lithium ion battery stacks," in Proc. IEEE Vehicle Power and Propulsion
Conf., 2009, pp.304-309.
[9] W. C. Lee, D. Drury, and P. Mellor, "Comparison of passive cell balancing and active cell
balancing for automotive batteries," in Proc. IEEE Vehicle Power and Propulsion Conf.,
2011, pp.1-7.
[10] X. Lu, W. Qian, and F. Z. Peng, "Modularized buck-boost + Cuk converter for high voltage
series connected battery cells,” in Proc. 27th Annu. IEEE Appl. Power Electron. Conf.
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[11] C.-H. Kim, M.-Y. Kim, and G.-W. Moon, "A Modularized Charge Equalizer Using a
Battery Monitoring IC for Series-Connected Li-Ion Battery Strings in Electric Vehicles," ,
IEEE Trans. Power Electron., vol.28, no.8, pp.3779-3787, Aug. 2013.
[12] M.-Y. Kim, J.-H. Kim, and G.-W. Moon, "Center-Cell Concentration Structure of a Cell-
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99
[13] F. Mestrallet., L. Kerachev, J-C. Crebier, and A. Collet, "Multiphase interleaved converter
for lithium battery active balancing,” in Proc. 27th Annu. IEEE Appl. Power Electron.
Conf. Expo., 2012, pp.369-376.
[14] S. Li, C. Mi, and M. Zhang, "A high efficiency low cost direct battery balancing circuit
using a multi-winding transformer with reduced switch count," in Proc. 27th Annu. IEEE
Appl. Power Electron. Conf. Expo., 2012, pp.2128-2133.
[15] T. Kim, W. Qiao, and L. Qu, "A series-connected self-reconfigurable multicell battery
capable of safe and effective charging/discharging and balancing operations," in Proc.
27th Annu. IEEE Appl. Power Electron. Conf. Expo., 2012, pp.2259-2264.
[16] J. Yun, T. Yeo, and J. Park, "High efficiency active cell balancing circuit with soft-
switching technique for series-connected battery string," in Proc. 28th Annu. IEEE Appl.
Power Electron. Conf. Expo., 2013, pp.3301-3304.
[17] P. T. Krein and R. S. Balog, "Life extension through charge equalization of lead-acid
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Edition, New York, Springer Science+Business Media, 2001.
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[20] L. Linares, R.W. Erickson, S. MacAlpine, M. Brandemuehl, "Improved Energy Capture in
Series String Photovoltaics via Smart Distributed Power Electronics," in Proc. 24th Annu.
IEEE Appl. Power Electron. Conf. and Expo., pp.904-910, 2009.
[21] H. J. Bergveld, D. Buthker, C. Castello, T. Doorn, A. de Jong, R. van Otten, and K. de
Waal, "Module-Level DC/DC Conversion for Photovoltaic Systems: The Delta-
100
Conversion Concept," IEEE Trans. Power Electron., vol.28, no.4, pp.2005-2013, April
2013.
[22] G. R. Walker and J. C. Pierce, "PhotoVoltaic DC-DC Module Integrated Converter for
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J. Portilla, Y. Torroja, M. Vasic, S. C. Huerta, M. Trocki, P. Zumel, and J. A. Cobos,
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101
[29] "Surface Mount Multilayer Ceramic Capacitors, General Purpose & High Capacitance,
Class 2, X5R, 4 V to 50 V," Datasheet, Yageo, 2014, [online]. Available: www.yageo.com.
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102
Chapter 5
Other Possible Applications for Assisting Converters
This chapter investigates using the assisting converter architecture in different applications other
than automotive and portable electronics systems. Three possible applications are investigated in
this chapter which are; uninterruptible power supplies (UPS) and data centers, low-to-medium
scale grid storage systems and smart homes, and finally datacom and wireless applications.
103
Investigating these systems leads to the conclusion that the assisting converter architecture is a
potent candidate that can be utilized in these systems.
5.1 Introduction The advantages of small volume and high power processing efficiency in addition to combining
cells balancing and voltage control functions can be beneficial to different battery powered
applications besides the two applications covered in this dissertation. The following sections
suggest utilizing the assisting converter architecture in data centers, low-to-medium scale grid
storage systems and smart homes, and datacom and wireless communication systems.
5.2 Uninterruptible Power Supplies and Data Centers Recently, the scale of data centers increases vastly especially after the internet traffic has rapidly
increased. The most two important requirements for data centers, and UPS systems as well, are
small volume and high power processing efficiency [1]-[11] which opens a potent possibility for
the assisting converters to be used in these systems.
These systems have three possible architectures which are ac, low-voltage dc, and high voltage dc
architectures [12]. Ac architecture based data centers consist of an ac-dc rectifier to convert the
utility voltage to a common dc bus voltage, dc-ac inverter to convert the voltage of the common
dc bus back to ac voltage that feeds different information and communication technology (ICT)
devices, a backup battery pack connected to the common dc bus using a step-up converter, and a
battery charger as shown in Fig.5.1. The main disadvantages of this system are the multiple
successive conversions stages which limit system efficiency and reduce reliability [12] in addition
to the need for having an ac-dc converter inside each ICT device or a front end ac-dc converter for
104
multiple ICT devices. Low voltage dc architecture based data centers consist of an ac-dc rectifier,
a dc-dc converter inside each ICT device, a battery pack connected to the dc bus using a step-up
dc-dc converter, and a battery charger as shown in Fig.5.2. This system avoids the problems
associated with the ac system but still have some demerits which are the relatively high currents
associated with the used low voltage, large copper area, and higher voltage drop [12]. In order to
solve the problems of the previously mentioned systems, dc based data centers that operate at
relatively higher voltage are introduced. It should be noted that low voltage dc based data centers
have the same architecture of the higher voltage ones but they operate at different voltage levels
as the latter ones operate at 300-400V and the low voltage data centres operate at 48V [12].
Ac-dcRectifier
Utility
Step-up dc-dc
converter
Dc-acInverter
Ac-dcRectifier
Dc-dcconverter
load
ICT device1
ICT device2
ICT devicen
Charger
Battery pack
Figure 5.1. Ac system based data center.
105
Since these systems have a battery pack that needs cells balancing to prolong battery lifetime and
a step-up dc-dc converter; the assisting converter architecture can be used to provide these two
functionalities in a single power stage that is smaller in volume and higher in power processing
efficiency than those of the conventional solution.
5.3 Low-to-Medium Scale Grid Storage Systems and Smart Homes Grid storage systems and smart homes are introduced to modernize and optimize the operation of
the electric utility systems by providing more communication and power exchange between
different power sources such as batteries, flywheel systems, and supercapacitors. In recent years,
the electricity generated by storage systems has significantly increased in US to reach around 24.6
GW which forms a 2.3% of the total electricity production capacity while Japan and Europe have
Ac-dcRectifier
Utility
Step-up dc-dc
converter
Dc-dcconverter
load
ICT device1
ICT device2
ICT devicen
Charger
Battery pack
48VDC or 300-400VDC
Figure 5.2. Dc system based data center.
106
significantly higher percentage of grid storage [13]. The US department of energy has
recommended reducing the cost of the grid storage system to compete with other technologies
providing similar services [13]. Batteries are considered one of the most important energy storage
components and their power management systems still have an overhead to improve. Using the
assisting converter architecture leads to prolonging battery lifetime and reducing battery power
management system cost significantly.
Low-to-medium scale grid storage systems and smart homes have different power sources such as
batteries, super capacitor, flywheel, wind farms, PV panels, in addition to the grid power [13]. All
of these power sources are connected using power electronics converters such as ac-dc, dc-dc, and
dc-ac converters as shown in Fig.5.3. It can be seen that batteries are connected to the common
300-400Vdc bus using a bidirectional dc-dc converter to provide the voltage control and power
exchange between the battery and different sources. The assisting converter can be used to replace
Ac-dcRectifier
Utility
Bi-directional dc-dc converter
Battery pack
300-400V common dc bus Step-updc-dc
Converter
Ac-dcrectifier
PV PanelsStep-up dc-dc
converter
Supercapacitors
Ac-dcRectifier
FlywheelAc-dc
RectifierDc-ac
Inverter
Wind Farm
Figure 5.3. Low-to-medium scale grid storage system and smart home architecture.
107
this converter and provide an additional important feature which is cells balancing with a smaller
and more efficient power stage. Also, the step-up dc-dc converter interfacing the PV panels to the
dc-ac inverter in addition to the step-up dc-dc converter interfacing the supercapacitors to the
common dc bus can be replaced by a multi-phase or single phase assisting converters that has
smaller volume and better efficiency than the conventional solution and may provide maximum
power point tracking feature as well [14]-[16].
5.4 Datacom and Wireless Communication systems Most of the GSM and 3G communication devices are designed to operate in dc systems with a
nominal voltage of -48V [17]. These systems are powered up from batteries with a voltage
variation from 18-36V [17]. A step-up dc-dc converter is needed to provide a regulated dc voltage
for the communication devices and these converters could have a power range changing from
200W to 6KW [18]-[19]. The assisting converter can be used in these systems to provide voltage
control and cells balancing functionalities for these systems.
Step-updc-dc
Converter18-36V
Charger
Load
Figure 5.4. Communication systems power architecture.
108
5.5 Conclusions Three possible applications that can benefit from the assisting converter architecture are
investigated in this chapter. These applications are uninterruptible power supplies (UPS) and data
centers, low-to-medium scale grid storage systems and smart homes, and finally datacom and
wireless applications. Studying these systems leads to the conclusion that the assisting converter
architecture is a strong candidate that can be used in these systems.
5.6 References
[1] R. Simanjorang, H. Yamaguchi, H. Ohashi, T. Takeda, M. Yamazaki, and H. Murai, "A
High Output Power Density 400/400V Isolated DC/DC Converter with Hybrid Pair of SJ-
MOSFET and SiC-SBD for Power Supply of Data Center," in Proc. 25th Annu. IEEE Appl.
Power Electron. Conf. Expo., 2010, pp.648-653.
[2] R. Simanjorang, H. Yamaguchi, H. Ohashi, T. Takeda, H. Murai, and M. Yamasaki,
"Estimating performance of high output power density 400/400V isolated DC/DC
converter with hybrid pair SJ-MOSFET and SiC-SBD for power supply of data center," in
Proc. 31st IEEE Int. Telecommun. Energy Conf. 2009, pp.1-5.
[3] M. Noritake, T. Ushirokawa, K. Hirose, and M. Mino, "Verification of 380 Vdc
distribution system availability based on demonstration tests," in Proc. 33rd Annu.
IEEE Int. Telecommun. Energy Conf., 2011, pp.1-6.
[4] S. Abe, Y. Ishizuka, T. Ninomiya, Y. Sihun, M.Shoyama, and M. Kaga, "Prototype
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109
[5] K. Takao, H. Irokawa, Y. Hayashi, and H. Ohashi, "Novel Exact Power Loss Design
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111
Chapter 6
Conclusions and Future Work
This Thesis presents a new and cost-effective battery management architecture for two major
applications, namely automotive and portable electronics applications. This battery management
architecture integrates balancing circuit and the step-up converter in a single stage topology.
Moreover, the converter processes only a portion of the output power and hence smaller volume
112
and better power processing efficiency can be achieved. In the following sections, the thesis main
contributions and possible extension of this work are discussed.
6.1 Conclusions The assisting dual active bridge converter [1]-[2] introduced in chapter 3 integrates cells balancing
and voltage control functionalities in a single power stage offering a cost-effective implementation
of the balancing feature for automotive applications. Also, the introduced topology has a smaller
volume and better power processing efficiency, i.e. higher power density, than conventional
solution not incorporating the balancing feature. Improving power density is achieved by making
the converter processes only a portion of the output power, unlike the existing solutions. Cells
balancing can be done during motoring, charging, and standstill modes of operation. During
motoring mode, the balancing is achieved by controlling the amount of power, and hence the
current, out of each cell while the balancing during charging and standstill modes of operation is
done by transferring energy between battery cells. Two balancing algorithms are introduced,
namely one-by-one cells balancing and simultaneous cells balancing. Phase shedding is utilized to
improve light-to-medium load efficiencies and to aid cells balancing as well. The converter runs
at a peak efficiency of a 95.4% and operates at an efficiency of a 90% and above for a 70% of the
operating range which is comparable or even better than the best of the state-of-art solutions [3]
and many commercially available boost converters. The operation of the converter is regulated by
an efficient digital controller that provides the cells balancing and voltage control functionalities.
The effectiveness of the assisting DAB converter to provide these functions and the high efficiency
range operation are verified experimentally in chapter 3.
113
The assisting flyback converter [4] introduced in chapter 4 utilizes the same concept and integrates
voltage control and balancing functions in a single converter designed for portable electronics
applications such as tablets and smartphones. While providing these functionalities, the assisting
flyback converter has about 23% smaller overall volume compared to the conventional boost. The
assisting flyback converter runs at a peak efficiency of a 93.4% with an efficiency of a 90% and
above for a 90% of the operating range which is comparable to the state of the art solutions.
The effectiveness of the assisting flyback converter to provide these functionalities and the high
efficiency range operation are demonstrated experimentally in chapter 4.
6.2 Future Work The state of charge (SOC) information is assumed to be available from an external circuit operates
based on cells terminal voltage in the practical implementation of the assisting DAB and flyback
converters. SOC estimation techniques and the challenges facing those techniques [5] can be an
interesting topic for future research.
The assisting DAB converter can be controlled to estimate (SOC) and state of health (SOH) of
battery cells using electrochemical impedance spectroscopy (EIS) [6]. That can be done by
injecting variable frequency small amplitude sinusoidal currents to each cell and measure the
voltage across cells terminals. These variable frequency small amplitude sinusoidal currents can
be obtained by introducing a variable frequency perturbation signal to the digital reference number
shown in Fig.3.5.
The IC implementation that integrates the power stage switches and controller of the assisting
DAB and flyback converters is another potential subject of future research. The integrated version
of the two topologies can benefit from the reduced die area for the switches and the reduced effect
114
of parasitic elements which has a negative impact on electromagnetic interference (EMI) and
associated parasitic losses. Also, further efficiency improvement can be achieved in the integrated
version by utilizing integrated switches with needed blocking voltage which is hard to achieve
with discrete implementation.
6.3 References
[1] A. Prodic, M. Shousha, V. Marten, and J. Milios, "Assisting Converter," US Patent
US8779700, July 2014.
[2] M. Shousha, Z. Gong, A. Prodić, V. Martin, and J. Milios "Assisting converter based
integrated battery management system for automotive applications," in Proc. Int.
exhibition and Conf. for Power Electron., Intell. Motion, Renewable Energy, and Energy
Manage., 2015, pp.863-870.
[3] F. Krismer and J. W. Kolar, "Accurate power loss model derivation of a high-current dual
active bridge converter for an automotive application," IEEE Trans. Ind. Electron., vol.57,
no.3, pp.881-891, March 2010.
[4] M. Shousha, T. McRae, A. Prodic, and V. Marten, "Assisting converter based integrated
battery management system for low power applications," in Proc. 29th Annu. IEEE Appl.
Power Electron. Conf. Expo., 2014, pp.1579-1583.
[5] V. Pop, H.J. Bergveld, P.H.L. Notten, and P.P.L. Regtien, "State-of-charge indication in
portable applications," in Proc. Int. Symp. on Ind. Electron., 2005, pp.1007-1012.
[6] A. Cuadras and O. Kanoun, "SoC Li-ion battery monitoring with impedance spectroscopy,"
in Proc. Int. multi-Conf. on Syst., Signals and Devices, 2009, pp.1-5.
115
Appendix A
Calculation of Power Transfer Equations for Square Wave Ac
Voltages
The average power delivered by the input port of Fig.3.6 (i.e. battery cell) can be calculated
through integration of the DAB voltage and current waveforms over a Tsw/2, where the waveforms
are shown in Fig.1A:
116
Figure A.1. DAB main waveforms.
dttitvndttPT
P Lsw
k
TT swsw
)(*)(∫)(1
10
10
dttiT
Vndttitvn
TL
sw
cellL
sw
TT swsw
)(2
)(*)(2 2
01
2
0 , Eq.A.1
The current waveform over the two distinctive time intervals of Fig.A.1 can be described with
the following equations:
117
L
tVnViti cfcellLL 0)( for 0 < t < tφ , Eq.A.2
L
ttVnViti cfcellLL
)( for tφ < t < Tsw/2, Eq.A.3
The initial conditions of Eq.A.2 and Eq.A.3, i.e. expressions for iL0 and iL, are obtained by
substituting t with tφ in Eq.A.2 and with Tsw/2 in Eq.A.3, and using the half cycle symmetry (i.e.
iL0= -iL (Tsw/2)). As a result the following expressions are obtained:
)2
-2(2
-)2
-(2
0Tt
L
VT
L
Vni
swcfswcellL , Eq.A.4
)2
(2
)22
-(2
T
L
VtT
L
Vni
swcfswcellL , Eq.A.5
By substituting Eq.A.2 to Eq.A.5 into Eq.A.1 and taking into account that f
tsw
k
2 , the
following power transfer equation is obtained:
L
VVn
Lf
VVnP
kkcfcell
sw
kkcfcellk
|)|-(
2
|)|-(2
. Eq.A.6
118
Appendix B
Cost Analysis and Suitability for a Large Number-of-Cells
System
In this appendix, design of the introduced architecture for a 93 Li-Ion cells, 400V for 35 KW
automotive applications [1] is given and cost analysis is provided as well. In this case, 93 primary
side modules are used and each four primary side modules share one secondary side module to
119
form what so called a block except for the last group of primary side modules. Each module is
rated at 100W such that the system is able to supply the rated output power at the desired output
voltage when all battery cells are close to their cut-off voltage. The following figures show the
power losses for each component, power processing efficiency of the converter, and system’s
cost. The cost is calculated for mass quantities (>5000 pieces) using standard suppliers websites
[2]-[3]. It should be noted that system’s cost is comparable to that of the conventional boost only
[4]-[5]. The reasons are: first, the converter processes only a portion of the output power and
hence can be built with less expensive components. Second, the used primary side switches are
low-voltage inexpensive switches used frequently in voltage regulator modules (VRMs) unlike
the conventional solution.
Figure B.1. Losses per primary side switch.
Figure B.2. Losses per secondary side switch.
120
Figure B.3. Losses per inductor.
Figure B.4. Losses per transformer.
Figure B.5. Losses per output capacitor.
Figure B.6. System losses.
121
Figure B.7. System’s efficiency.
Figure B.8. System’s cost.
97.5%
122
B.1 References
[1] "Innovative electric drive," [online]. Available: http://www.thesmart.ca/ca/en/index/smart-
fortwo-electric-drive/drive.html.
[2] www.digikey.ca.
[3] www.mouser.com.
[4] "Request for Proposal: The 2013 International Future Energy Challenge (IFEC’13),"
[online].Available, http://www.ieee-pels.org/about-pels/governing
documents/doc_download/332-2013-international-future-energy-challenge-request-for-
proposals-v-2.
[5] Discussion with industry people.