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    PROJECT REPORT

    INVERTER DESIGN FOR 2001 FUTURE ENERGY

    CHALLENGE

    College of Engineering and Computer Science

    University of Central Florida

    Orlando, FL 32816

    Tel (407) 823-0185Fax. (407) 823-6334

    [email protected]

    Student Team Members :

    Joy Mazumdar

    Manasi Soundalgekar

    Duy Bui

    Nancy Saldhana

    Bassem Khoury

    Steven Pugh

    Advisor: Dr. Issa Batarseh

    15th

    June, 2001

    Return to Main Document

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    Signature Page

    The following students comprised the Future2001 EnergyChallenge team from the

    University of Central Florida under the guidance of Dr Issa Batarseh.

    Advisor :

    ( Dr Issa Batarseh ) Date

    Students :

    ( Joy Mazumdar )

    ( Manasi Soundalgekar )

    ( Duy Bui )

    ( Nancy Saldhana )

    ( Bassem Khoury )

    ( Steven Pugh )

    Power Electronics group at the University of Central Florida wishes to thank IEEE

    PELS, DOE and the other organizers of Future 2001 Energy Challenge Competition

    for providing its students the opportunity to participate in this project.

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    2.10 Component values for 10kW inverter system

    3.0 Manufacturing Issues3.1 Electrical mounting and termination3.2 PCB trace selection3.3 Heat sink issues3.4 Wiring considerations

    4.0 Educational Impact4.1 About UCF4.2 Power Electronics progress at UCF4.3 Student participation in the project4.4 Project development stages4.5 Educational benefits

    5.0 Inverter Operating Instructions6.0 Simulation results and experimental setup7.0 Cost Evaluation Spreadsheet8.0 References9.0 Appendix

    A.DSP Sampling cycleB. ORCAD schematic for PCB layoutC.Pspice schematic circuit for 1.5kW and 10kW inverter systemD.Devices and IC datasheets

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    List of figures:

    Fig1 (a) Block diagram of the proposed inverter system, (b) Circuit diagram of the proposed

    inverter

    Fig2 Flat-topped pulse current

    Fig3 (a) Half-bridge Inverter under resistive load, (b) Switching and output voltage waveform

    Fig4 (a) Half-bridge with inductive- resistive load, (b) Equivalent circuit, (c) Steady state

    waveforms

    Fig5 SPWM and Inverter Output Voltage

    Fig6 Single SPWM pair of pulses

    Fig7 Inverter control scheme

    Fig8 (a)Waveforms for correction of dead time, (b) Inverter leg

    Fig9 Input protection circuit

    Fig10 RC Snubber Circuit

    Fig11 Thermal resistance

    Fig12 Power panel schematic

    Fig13 Differential Voltage and current waveform under normal resistive load

    Fig14 Phase 1 and Phase 2 voltage waveform

    Fig15 DC positive and negative bus voltage

    Fig16 Maximum voltage stress across switches MOSFET1, MOSFET2, IGBT1, IGBT2, IGBT3

    and IGBT4

    Fig17 Load current waveform under unbalanced load conditions

    Fig18 Output Filter Capacitor voltage waveform under unbalanced load conditions

    Fig19 Output Filter Inductor current waveform under unbalanced load conditions

    Fig20 Voltage feedback waveform for DSP

    Fig 21 Current feedback waveform for DSP

    Fig 22 Voltage and current waveforms for 10kW system

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    1

    1.0 Introduction

    In this report, a design for a high power density 10kW inverter circuit is presented for conversion of

    energy from DC fuel cells to AC power to be used mainly for domestic utility applications. The

    configuration is achieved using a high frequency dc-dc push-pull converter at the input side followed by a

    full-bridge PWM inverter and a low-pass filter at the output side. Due to the simplified power stage and

    the application of DSP-based sinusoidal pulse width modulation technique, output voltage Total

    Harmonic Distortion (THD) is reduced and a relatively smaller overall inverter size is achieved. The

    proposed practical circuit operates from a 48V DC fuel cell input and outputs a regulated 120V AC, 60Hz

    sinusoidal voltage having3-wire configuration[4]. A complete circuit analysis, design and cost evaluation

    is presented and supported by PSPICE simulation results. As per competition guidelines, a low power

    inverter has been redesigned, tested and prototyped, to deliver a 1.5kW load. Operating waveforms,

    printed circuit board layout and measured efficiency of the actual circuit are also presented.

    2.0 Theory of Design Rationale

    This project will explore the possibility of making alternate sources of energy utility interactive by means

    of low cost power electronic interface (DC-AC inverter). The constraint towards the above scheme is the

    input DC voltage from alternate forms of energy is very rarely stable hence the design of the proposed

    interface has to produce an AC output, which is independent of the input fluctuations[3]. The PWM

    inverter will be digitally controlled using a commercial DSP chip for AC voltage and frequency

    regulation. The implementation of the DSP will have a current controller, voltage controller and a feed

    forward controller. The input voltage from the renewable forms of energy will be 48VDC with fluctuation

    limit of 42-72V DC. The output voltage will be 110/220VAC @60Hz clean sine wave suitable for home

    applications. Since the inverter is for residential use, low cost, high reliability and safety are essential

    design issues.

    2.1 Design Specifications for the 1.5kW prototype [1]

    Input Voltage Range : 42-72 VDC

    Output Voltage : Single-phase 120/240VAC RMS, 3-wire output

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    2

    Push-Pullstage

    DC-DC

    InverterStageAC-DC

    Low-PassFilter

    +

    dcV acv

    dcI

    aci

    Output Frequency : 60Hz 0.1Hz

    Output Power Range : 2 x 750Watts continuous

    Efficiency : > 90%

    Line and Load regulation : 5%

    Total Harmonic Distortion : < 5%

    Input Current limit : 55 Amps

    Switching Frequency : 50kHz for push pull and 15kHz for inverter bridge

    Operating temperature : 10 C - 40 C

    DSP Controls : TMS320F240 Evaluation module

    Communication Interface : RS232

    2.2 DC-DC Converter Stage Design [14]

    A block and circuit diagram for the proposed inverter implementation is shown in Fig. (a) and the circuit

    schematic is shown in Fig 1(b).

    Fig 1(a): Block diagram representation of the proposed inverter system

    Fig 1(b): Circuit diagram of the proposed inverter system

    1

    1D

    2D

    3D

    4D

    1R

    2R

    1L

    2L

    C1

    C2

    Q1 Q2

    Q3 Q5

    Q4 Q6

    L3 L4

    C4

    Load Load

    Load

    50kHz 50kHz

    15 KHz 15 KHz

    15 KHz 15 KHz

    Fuel

    Cell

    n1

    n1

    n2

    n2

    C3

    T1

    iTr

    Vdc

    Iac

    Vac

    Cin

    R3

    R4

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    3

    To reduce the size of the system transformer, the first stage will consist of a high frequency push-pull dc-

    dc converter. The second stage consists of two half-bridge inverters arranged in a full bridge

    configuration. The control technique used in the second stage is sinusoidal PWM. The third stage

    represents the low pass filter with passive components, due to the relatively high attenuation of the low

    harmonic components for the output voltage waveform. The input stage consists of power devices Q1

    and Q2, transformer T1, inductor L1, L2 and dc bus capacitors C1 and C2. The dc push-pull converter

    boosts the bus voltage to 240VDC for the inverter to produce 110VAC. The output inverter stage

    consists of power devices Q3 - Q6, output inductors L3, L4 and capacitors C3 and C4. Using the well-known

    sinusoidal PWM technique, this circuit generates a sine wave output voltage.

    2.2.1 Basic Circuit Operation of DC-DC stage

    The push pull converter belongs to the feed-forward converter family. With reference to Fig. 1(b), when

    Q1 switches on and Q2 is off, current flows through the 'upper' half of T1's primary and the magnetic field

    in T1 expands. The expanding magnetic field in T1 induces a voltage across T1 secondary, the polarity is

    such that D2, D4 is forward biased and D1, D3 is reverse biased. D2 conducts and charges the output

    capacitor C2 via L2 and D4 conducts and charges the output capacitor C1 via L1. The components L1, L2

    and C1, C2 form a LC filter network. When Q1 turns off, the magnetic field in T1 collapses, and after a

    period of dead time (dependent on the duty cycle of the PWM drive signal), Q2 conducts, causing the

    current to flow through the 'lower' half of T1's primary and the magnetic field in T1 expands. Now the

    direction of the magnetic flux is opposite to that produced when Q1 conducted. The expanding magnetic

    field induces a voltage across T1 secondary, the polarity is such that D1, D3 are forward biased and D2, D4

    are reverse biased. D1 conducts and charges the output capacitor C1 via L1 and D3 conducts and charges

    the output capacitor C2 via L2. After a period, Q1 conducts and the cycle repeats.

    There are two important considerations to be made when it comes to the design of the push - pull

    converter:

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    4

    1. Both transistors must not conduct simultaneously, as this would effectively short-circuit the

    supply. Hence, the conduction time of each transistor must not exceed half of the total period for

    one complete cycle; otherwise, the conduction will overlap.

    2. The transformer magnetic flux must be bi-directional; otherwise the transformer may saturate,

    and cause destruction of Q1 and Q2. This requires that the individual conduction times of Q1 and

    Q2 are exactly equal and the two halves of the center-tapped transformer primary be magnetically

    identical.

    These design considerations must be handled by the control, drive circuit and the transformer.

    The average output voltage, Vout, equals the average of the waveform applied to the LC filter:

    2 1 21

    out in S on,sw on,swn

    V V f ( T T )n

    = + (1)

    where,

    outV = Average output voltage - Volts

    inV = Average supply voltage - Volts

    2n = number of secondary turns of the center -tap transformer T1

    1n = number of primary turns of the center -tap transformer T1

    Sf = Switching frequency of MOSFETs Q1 and Q2 - Hertz

    1on,swT = on time period of Q1 Seconds

    2on,swT = on time period of Q2 Seconds

    The control circuit monitors and controls the duty cycle of the drive waveforms to Q1 and Q2. If inV

    increases, the control circuit will reduce the duty cycle accordingly, so as to maintain a constant output.

    Likewise, if the load is reduced and outV rises the control circuit will act in the same way. Conversely, a

    decrease in inV or increase in load will cause the duty cycle to be increased. Following given is the

    derivation of all the inverter parameters.

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    5

    Relations between primary current, output power, and input voltage:

    Since the maximum average input power Pin is 1.8kW and if we assume the efficiency of the push-pull

    converter to be 90%, then the average output power Pout of the DC-DC stage is 1.65kW.

    0 9out inP . P= (2)

    It can be seen that, the average input power may be given as,

    0 5in DCmin pft

    P V ( . I )= (3)

    where DCminV is the minimum DC input voltage, 0.5 is the duty cycle and pftI is the flat-topped pulse

    current as shown in Fig (2). The flat-topped pulse current is defined as ramp on a step. The flat-topped

    pulse current appears at the transformer center tap.

    Fig 2: Flat-topped pulse current

    The relationship in Equation (3) is valuable since, it gives the equivalent peak flat-topped primary current

    pulse amplitude in terms of what is known at the outset, the minimum DC input voltage and total input or

    output power. This value is needed to help us select the MOSFET. Finally, for the MOSFET selection the

    maximum voltage stress that the MOSFET has to handle should be known.

    Maximum voltage stress of the MOSFETs:

    It can be shown that the maximum voltage stress across the MOSFET is given by the following formula,

    1 3 2ms DCmaxV . ( V )= (4)

    where DCmaxV is the maximum input DC voltage.

    The maximum stress voltage is 30% above twice the maximum DC input voltage. Maximum stress

    comes from the so-called leakage inductance spikes, these come about because there is an effective small

    t

    iTr

    Ipft

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    6

    inductance (leakage inductance) lL in series with each half primary. At the instant of turnoff, current in

    the MOSFET falls rapidly at ratedt

    dicausing a positive-going spike of amplitude

    dt

    diLE lls = at the bottom

    end of the leakage inductance. The leakage spike may be as much as 30% more than twice the maximum

    DC input voltage.

    Using the given design specifications, we carry on with the following stress voltage calculations.

    0 5in DCmin pft

    P V ( . I )=

    1 11

    0 5out

    pft

    DCmin

    ( . P )I

    . V= = 87 amps at 50% duty cycle (5)

    RMS pft

    I I D= = 61 amps at 50% duty cycle (6)

    1 3 2rms DCmaxV . ( V )= = 187 Volts at 50 % duty cycle

    MOSFET Conduction losses

    0 40 4 0624 outDC pft on pft on

    DCmin

    P( . T )P I V . I V .

    T V= = = (7)

    MOSFET Switching losses

    2 2 3 122 2

    pft SDCmax S out DCmax St(ac) pft dc

    DCmin

    I TV T P V T P I V .T T V T

    = + = (8)

    where,

    ST = vr cf t t= is the transition time.

    vrt = voltage rise time from 0 to 2 DCmaxV .

    cft = current fall time from

    pftI to 0

    The total MOSFET loss consists of switching losst (a c )

    P and conduction loss DCP and is given by

    min

    max

    min

    )(

    624.012.3

    DC

    outsDC

    DC

    outdcacttotal

    V

    P

    T

    TV

    V

    PPPP +=+= (9)

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    7

    2.2.2 Design of transformer stage for DC-DC[15]

    The push-pull DC-DC converter design is one of the most critical issues in this project. The detailed

    design is explained as below based on the following design parameters:

    48nomV V= (nominal input dc voltage)

    42minV V= (minimum input dc voltage)

    72maxV V= (maximum input dc voltage)

    240outV V= (dc bus voltage)

    6outI A= (dc current)

    50Sf kHz= (push-pull switching frequency)

    0 13mB . T = (maximum operating flux density)

    90% = (efficiency)

    0 4uK .= (window utilization factor)

    1dV = (diode voltage drop)

    0 5maxD .= (maximum duty cycle)

    25orT C= (maximum temperature rise)

    Skin depth of the wire is in cm

    6 62

    S

    .

    f

    = (10)

    0 03. = cm

    Wire diameter is 2

    2 0 059D .= = cm

    Bare wire area is wA in sq cm

    23

    2 754 104

    w

    DA .

    = = cm2 (11)

    Based on wA calculated above, choose wire size AWG 23, heavy insulation copper wire

    Output Power Pout of the converter is given by

    out out out d P I (V V )= + (12)

    1446outP watts=

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    8

    The total apparent power is Papp in VA is given by

    22

    app out P P ( )= +

    (13)

    4317appP VA=

    Electrical coefficient eK

    Here we havef

    K and acB given by,

    4f

    K = (waveform coefficient for square wave)

    0 3ac maxB . B=

    The electric coefficient, eK , can be obtained from the following relation,

    2 2 2 40 145 10e f S sc

    K . K f B = (14)

    resulting in the following value of eK

    882 18eK .=

    Based on Kg, we select our core. Kg is given by,

    2t

    g

    e

    PKK= (15)

    2 447g

    K .= cm5

    Selection of Core

    Based on the value of core geometry, ferrite core from Magnetics Inc, OP 45530-EC is a suitable E core

    for the above application. The PC bobbin used is PC-B5530-FA.

    Datasheet of OP 45530-EC Core:

    H W L G MPL Wtfe Wtcu MLT Ac Wa Ap At Perm ALcm cm cm cm cm gms gms cm cm2 cm2 cm4 cm2 mH

    5.51 4.59 5.48 3.70 12.3 255 172.1 12.2 4.130 3.956 16.339 147.2 2300 564

    The core geometry of the above core is 2.206504 cm5. AL is defined in mH/1000. For more informationrefer to [15].

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    9

    Primary turns Np

    It can be shown that Np is obtained from the following relation.

    410min

    p

    S C m f

    VN

    f A B K

    = (16)

    3 911p

    N .=

    To avoid the possibility of core saturation, we choose 6 turns for the primary winding. Under normal

    operating conditions, the input current is assumed to be around 40A. The worst case input current is 55A.

    Assuming a current density of 450A/cm2, the primary wire bare area is calculated as,

    40

    450

    max

    wp

    DA = (17)

    0 063wp

    A .= cm2

    For the primary winding, choose 3 strands of AWG 14 heavy insulation copper wire.

    Secondary turns Ns

    11

    100

    p out d

    S

    min

    N (V V )N ( )

    V

    += + (18)

    22 668SN .=

    33 turns for were selected for secondary. Under normal operating conditions, the DC output current is

    assumed to be around 6A. Assuming a current density of 450A/cm2, the primary wire bare area is

    calculated as,

    450

    out max

    ws

    I DA = (19)

    3

    9 428 10wsA .

    = cm2

    For the secondary winding, 3 strands of AWG 23 heavy insulation copper wire were chosen.

    2.2.3 Output inductor design of DC DC stage

    This inductor is required since the input is a voltage source and the DC capacitors also act as a voltage

    source. Hence, the inductor acts as a current link between two voltage sources. For the purpose of charge

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    10

    and voltage balancing in the DC capacitors, we require a coupled inductor. The inductance value can be

    calculated based on the MOSFET switching frequency and duty cycle as given by,

    2out

    S o

    DVL

    f I=

    (20)

    where D = 0.5 , L1=L2=L. L1 and L2 are the coupled inductors. Vout is the average output voltage, fs is the

    switching frequency, Io is the output current ripple (assume to be 10% of output current). Based on 1:5

    transformer ratio, i.e. output voltage of the push- pull is 240V, and using 750W power rating for each

    stage, L = 2 mH. The inductor was constructed using a powder iron core (26 material).

    Construction of the coupled inductor[15]

    The selection of the core was based on the following two main design parameters

    Inductance L required with DC bias = 2mH DC current = 6A

    Based on the calculation of the product LI2, Micrometals E220-26 iron powder E core was found suitable.

    Datasheet of E 220-26 E core:

    H W L G MPL Wtfe Wtcu MLT Ac Wa Ap At Perm ALcm cm cm cm cm gms gms cm cm2 cm2 cm4 cm2 mH

    5.54 3.86 5.61 3.83 13.2 333.9 167.9 11.6 3.6 4.079 14.684 141.3 75 275

    The core geometry of the above core is 1.827264 cm5. AL is defined in mH/1000.The required number of turns, N, can be calculated as

    310L

    LN

    A= (21)

    N=85.28 turns

    where, LA =mH/1000turns and L=inductance in mH.

    We have chosen N=90 turns for the required inductance.

    For calculation of the wire size, the bare wire area required @ 450A/cm2, Awb, is obtained from,

    450

    outwb

    I DA = (22)

    Awb = 0.0094 cm2

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    11

    Hence AWG 18 heavy insulation copper wire is suitable for the inductor. Since the inductor is coupled,

    the construction requires 2 strands of AWG 18 wire wound 90 times inside a pair of E220-26 core.

    2.2.4 Design of DC bus capacitors

    It is assumed that all the energy for the inverter is supplied by the DC capacitor bank. The ripple

    frequency at the DC capacitor will be twice the switching frequency, i.e. 100kHz. These are bulk

    capacitors and the ripple voltage across it is assumed to be 1% of maximum value. The value of the

    capacitors can be calculated using the following formula,

    2 2

    1 2

    2

    2out

    S

    PC

    ( f )(V V )=

    (23)

    where

    1V=max ripple capacitance voltage

    2V = min ripple capacitance voltage

    The DC bulk capacitors are chosen to be 560uF/ 500V.

    2.3 PWM DC-AC Inverter Stage Design[14]

    Since the inverter is the most important aspect in this design, a detailed steady state analysis is presented

    for the half bridge inverter topology, which is used in our circuitry. The analysis presents the equations

    and supporting waveforms.

    2.3.1 Basic half-bridge inverter circuit resistive load

    To illustrate the basic concept of a dc-to-ac inverter circuit we consider a half-bridge voltage-source

    inverter circuit under resistive load as shown in Fig. 3 (a). Its switching waveforms for S1, S2 and the

    result output voltage are shown in Fig. 3 (b).

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    12

    Fig.3 (a) Half-bridge Inverter under resistive load.(b) Switching and output voltage waveform.

    The circuit operation is very simple since S1 and S2 are switched on and off alternatively at 50% duty

    cycle as shown in the switching waveform in Fig. 3 (b). This shows that the circuit generates a square ac

    voltage waveform across the load from a constant dc source. The voltages, Vdc and Vdc are across R

    when S1 ON while S2 OFF and when S2 is ON while S1 is OFF, respectively. One observation to be

    made here is that the frequency of the output voltage is equal to f = 1/T and is determined by the

    switching frequency. This is true as long as S1 and S2 are switched complementarily. Moreover, the rms

    value of the output voltage is simply Vdc. Hence, to control the rms value of the output voltage we must

    control the rectified Vdc voltage source. Another observation is that the load power factor is unity since

    we have purely resistive load. That is rarely encountered in practical application.

    (b)

    S1

    S2

    o

    +Vdc

    -Vdc

    t

    T

    T/2

    (a)

    R

    S1Vdc

    S2

    iO

    Vdc

    o

    + -

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    13

    Finally, we should note that in practice the above circuit does not require two equal dc voltage sources as

    shown in Fig. 3 (a). Instead, large splitting capacitors are used to produce two equal dc voltage sources.

    The two capacitors are equal and very large so that RC is much larger than the half-switching period. This

    will guarantee that the mid-point, a, between the capacitors has a fixed potential at one-half of the supply

    voltage Vdc.

    2.3.2 Inductive-Resistive load

    Figure 4 (a) shows a half-bridge inverter under inductive resistive load with the equivalent circuit and the

    output waveforms shown in Fig. 4 (b) and (c), respectively.

    Fig. 4 (a) Half-bridge inverter with inductive resistive load.

    (b) Equivalent circuit and (c) Steady state waveforms.

    a

    a'

    (b)

    t

    in

    o

    +

    -

    in+Vdc

    -Vdc

    T/2 T0

    t

    iL

    IL(T/2)

    IL(0)D1 D2

    Q1Q2

    tT/2 T0

    t1

    (c)

    R

    Vdc

    iO

    o

    L

    Vdc

    +-

    D1Q1iD1

    iD2

    Q2 D2

    (a)

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    14

    With Q1 and Q2 switched complementary each at 50% duty cycle with switching frequency f , then the

    load between terminal a and a is excited by square voltage waveform )(tvin of amplitudes

    dcV+ and dcV as shown in Fig. 5 (b), i.e. )(tvin is defined as follows:

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    15

    pulses increases when the control period decreases or its frequency, fs, increases. K is the number of Ts

    periods in one half of the output period, To. The frequency of the reference signal sets the frequency of

    the output voltage fo. It can be noticed as the magnitude modulation index, M, varies from 0 to 1, the

    width of each pulse varies from 0 to / k, i.e.

    2

    os

    TkT =

    os ff

    k

    2

    1=

    =

    o

    s

    f

    fk

    2

    1

    The ratio between the carrier frequency and the output frequency is known as Frequency Modulation

    Index, fM , defined as

    o

    s

    f f

    fM

    =(25)

    Hence, k is given by, fMk2

    1= (26)

    Notice that when k = 1, it is a special case where fM = 2.

    Sinusoidal PWM Waveforms

    In Sinusoidal Pulse Width Modulation, SPWM, multiple pulses are generated, each having different

    width time. The width of each pulse is varied in proportion to the instantaneous integrated value of the

    required fundamental component at the time of its event. In other words, the pulse width becomes a

    sinusoidal function of the angular position. The repetition frequency of the output voltage will be a

    frequency higher than the fundamental. In applying SPWM, the lower order harmonics of the modulated

    voltage wave are highly reduced in contrast to the use of uniform pulse width modulation.

    In SPWM the output voltage signal can be obtained by comparing a control signal, contv , against a

    sinusoidal reference signal, refv , at the desired frequency as shown in Fig 5. At the first half of the output

    period, output voltage takes a positive value (+ dcV ), whenever the reference signal is greater than the

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    16

    control signal. At the same way, at the second half of the output period, the output voltage takes a

    negative value (- dcV ) whenever the reference signal is less than the control signal.

    The control frequency contf determines the number of pulses per half of cycle for the output voltage

    signal. Also, the output frequency of is determined by the reference frequency reff . The modulation

    index Ma is defined as the ratio between the sinusoidal magnitude and the control signal magnitude.

    contp

    refp

    aV

    VM

    ,

    ,= (27)

    To obtain a vary train of pulses, each pulse has to vary proportional to the necessary fundamental

    component precisely at the time when this pulse occurs. The frequency of the output waveform needs to

    be higher than the frequency of the fundamental component. By varying the width of each pulse, the

    inverter is able to produce different levels of output voltage for the corresponding pulse event.

    2

    2

    )(tvo

    wt

    wt

    contpV

    ,

    refpV ,

    dcV

    dcV

    )(,

    tvrefp

    )(,

    tvcontp

    oT

    reff

    1

    contf

    1

    Figure 5. SPWM and Inverter Output Voltage.

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    Calculation of the output voltage as Fourier series expansion

    The calculation of the SPWM output voltage is the same as it was done with UPWM output voltage.

    However, for SPWM the width of each pulse varies according to its position. The expression for the

    output voltage is obtained using a Fourier series transformation for ov , given by,

    =

    ++=2,1

    )sincos()(n

    nnoo nwtbnwtaVtv (28)

    Since the inverter output voltage is an odd function, only odd harmonics exist.

    The calculation the output voltage harmonic components can be done using one single pair of pulses as

    shown in Fig 6.

    2

    )(tvo

    t

    dcV

    dcV

    oT

    i i'

    +i +i'

    wi

    wi

    Figure 6 Single SPWM pair of pulses.

    { }{ })(cos)(cos)(cos)(cos

    |)cos(|)cos(

    )()sin()()sin(

    )()sin()()sin(1

    )()sin()(1

    ,

    ,

    ,

    ,

    2

    0

    ,

    ++++++=

    =

    =

    +=

    =

    ++

    +

    +

    ++

    +

    +

    ++

    +

    +

    iwiiiwiiDC

    in

    DC

    in

    DCin

    DCDCin

    oin

    nnnnn

    VV

    nwtnwtn

    V

    V

    wtdnwtwtdnwtV

    V

    wtdnwtVwtdnwtVV

    wtdnwtwtvV

    wii

    i

    wii

    i

    wii

    i

    wii

    i

    wii

    i

    wii

    i

    Using this trigonometric relationship:

    +=

    2sin

    2sin2coscos

    yxyxyx

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    Factoring through, we obtain the harmonic component for a single pair of pulses,

    ++

    +

    =

    2sin

    2sin

    2sin

    2,

    wii

    wii

    wiDCin nnn

    n

    VV

    Adding the contribution from all other pulses, the ith component of ov is given by,

    =

    ++

    +

    =k

    i

    wii

    wii

    wiDCn nnn

    n

    VV

    1 2sin

    2sin

    2sin

    2

    where, i is the starting angle of the ith pulse, and wi is the pulse width at the corresponding angular

    position. Next we estimate w for each ith pulse.

    Inverter controller scheme is shown in Fig. 7 [10].

    Figure 7:Inverter control scheme

    The inverter modulates a dc bus voltage, Vdc, into a cycle-by-cycle average output voltage. The amplitude

    of the inverter output voltage is directly proportional to the commanded duty cycle of the inverter and the

    amplitude of the dc bus voltage Vdc. It can range from + Vdc to - Vdc. Current mode control is used for this

    PWM inverter. Current mode control is a two-loop control system that simplifies the design of the outer

    PI 1 PI 2PWM1

    PWM2

    ADCIN

    ADCIN

    GATEDRIVE

    Voltageand

    currentsense

    amplifier

    +

    _

    +

    _

    IoutVout

    Vdc

    C1

    C2

    Vdc

    Vdc

    +

    +

    S1

    S2

    OFF

    PWM Lb

    Io

    Vo

    Co RL

    Verr

    TMS320F240EVM

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    voltage control loop and improves UPS performance in many ways, including better dynamics and a feed

    forward characteristic that could be used to compensate DC bus ripple and dead-time effect, etc.

    2.3.4 The Output Voltage

    It can be shown that the average output voltage over ST period is given by,

    10.,

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    Fig 8: Waveforms for correction of dead time

    The desired Tn for both directions of current is illustrated in the diagram and is generated by

    Positive sawtooth edge

    compare sawtooth with Vph for i>0 ; compare sawtooth with Vph- for i0 ; compare sawtooth with Vph for i

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    The source DC voltage is ripple free

    All power devices behave ideally

    The load is linear

    Series resistance of the capacitance is negligible

    As the exact voltage drop across the filter inductance is difficult to determine, it is assumed negligible.

    Thus, rms inverter output voltage is equal to the rms load voltage based on this assumption, the

    modulation index can be calculated as

    d

    o

    E

    Vd 2= (32)

    From the value of the modulation index, the constant K, which has been derived from the Fourier analysis

    of the output voltage, can be calculated as given below.

    2

    1

    6542

    14404

    5

    5

    64

    4

    15

    +=

    dddd

    K (33)

    The optimum value of the filter inductance can be calculated as

    +=

    2

    1

    ,

    22

    ,

    41avgor

    d

    S

    r

    avgor

    d

    So

    of

    V

    EK

    f

    f

    V

    EK

    fI

    VL (34)

    From the value of the filter inductance, the filter capacitance can be calculated as

    avgorSf

    df

    VfL

    EKC

    ,2

    = (35)

    where,

    dE is the input DC voltage to the inverter stage , oV is the output rms voltage , avgorV , is the average

    output voltage , rf is the fundamental output frequency , Sf is the switching frequency , fL is the filter

    inductance , fC is the filter capacitance

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    Using the value of dE to be 240V and the output RMS voltage to be 120VAC, we find the value of

    required L to be 1.7mH and the value of capacitance to be 4.7uF. These values give the corner frequency

    of the LC filter to be 1.7kHz. As far as the corner frequency selection is concerned, since we are

    regulating the low frequency current and voltage, we need to filter out the high frequency content. Given

    that the switching frequency is 15kHz, the corner frequency should be 10-20 times lower than that

    (~1.5kHz) to be able to extract the fundamental frequency. On the other hand, we do not want to attenuate

    the fundamental frequency (60Hz). So, we need a need a corner frequency of 10 times higher than that

    (~600Hz). Given these constraints, the corner frequency should be 600Hz. Half way in

    between will gives ~1kHz corner frequency. This does approximately match with the range of value,

    which we derived from the theoretical calculations. Hence, we choose the filter inductance value to be

    2mH and the capacitance value to be 17.5uF.

    2.5 Input Circuits, filtering, fusing and transient protection

    Input Filtering

    Capacitors C1, C2, C3 and Balun transformer T1 form an input Balun filter [13]. A Balun filter is used to

    attenuate common mode noise generated by the converter and reflected back onto the power bus. The Pi

    () filter, which will suppress differential mode noise. The filter components are chosen such that it

    presents the highest impedance at the converter switching frequency. The inductance value of the Balun

    transformer chosen is 8uH. This is manufactured by using 10 turns of AWG 18 heavy insulation copper

    wire wound on E220-26 micrometals iron powder core. The value of the capacitors chosen is

    220uF/100V. Practically speaking, this type of filter can reduce noise levels by about 10 to 12 dB.

    Input Fusing

    As a general rule, the input lines to any power converter should be fused. The fuse will limit input power

    in the event of a catastrophic failure within the converter or the system the converter is supplying power

    to. The chosen fuse should be a slow-blow type with a current rating approximately 200% of the full load

    input current to the converter (for wide input range converters, 200% of the maximum input current must

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    be used). Having a slow-blow type will allow the converter short circuit protection circuitry time to react

    to transient fault conditions. For our application, an 80A fuse semiconductor fuse is chosen for input

    protection.

    Input Transient Protection

    The avalanche Zener D2, clamps the input to a safe level in the event of a power line transient. The

    energy contained within the transient is dissipated across the surge suppresser.

    Fig 9: Input protection circuit and output filter

    2.6 Output Overload protection

    Although the use of filtering will prevent excessive current at power ON, under normal conditions, the

    best way to prevent overload at output is to use a fuse with sufficient tolerance to inrush current, so that it

    won't blow at power ON. A 15A semiconductor fuse is selected for the output phases.

    2.7 DSP Control Design[2,5,6,10]

    Todays low-cost, high-performance DSP controllers, such as the Texas Instruments (TI) TMS320F240,

    provide an improved and cost effective solution for inverter design. The F240 has integrated peripherals

    specifically chosen for embedded control applications. These include Analog-to-Digital converters (A/D),

    PWM outputs, timers, protection circuitry, serial communications, and other functions. High CPU

    bandwidth and the integrated power electronic peripherals of these devices make it possible to implement

    a complete digital control of inverters. Most instructions for the F240, including multiplication and

    accumulation (MAC) as one instruction, are single cycle. Therefore, multiple control algorithms can be

    +Vin

    -Vin

    D1

    D2

    Fuse

    C1

    +

    220nF/100V

    C2220nF/100V

    +

    C3

    +

    220nF/100V

    8uH

    8uH

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    executed at high speed, making it possible to achieve the required highsampling rate for good dynamic

    response. This also makes it possible to implement multiple control loops of the inverter in a single chip

    and increase integration and lower system cost. Digital control also brings the advantages of

    programmability, immunity to noise, and eliminates redundant voltage and current sensors for each

    controller. With fewer components, the system requires less engineering time, and it can be made smaller

    and more reliable. The extra DSP bandwidth is available for implementing more sophisticated algorithms,

    as well as communications to host systems and I/O devices such as LCD displays. DSP programmability

    means that it is easy to update systems with enhanced algorithms for improved reliability.

    Features of the TMS320F240 System:

    The table shown below gives a list of the TI chip parameters and their corresponding values.

    Parameter Name TMS320F240EVM

    MIPS 20

    Frequency ( MHz) 20RAM ( words ) 544

    Flash (words ) 16K

    Boot Loader available Flash

    External Memory Interface Yes

    PWM Channels 12

    10 bit A-D ( # channels ) 16

    Conversion Time (us) 6.1 us

    Timers 3

    Total Serial ports 2

    Features

    High-performance Static CMOS Technology

    Includes the T320C2xLP Core CPU

    Object Compatible with the TMS320C2xx

    Source Code Compatible with TMS320C25

    Upwardly Compatible with TMS320C5x

    132-Pin Plastic Quad Flat Package (PQ Suffix)

    50-ns Instruction Cycle Time

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    Industrial and Automotive Temperature Available

    Memory

    544 Words 16 Bits of On-Chip Data/Program Dual-Access RAM

    16K Words 16 Bits of On-Chip Program ROM ('C240)/Flash EEPROM ('F240)

    224K Words 16 Bits of Total Memory Address Reach (64K Data, 64K Program and 64K

    I/O, and 32K Global Memory Space)

    Event-Manager Module

    12 Compare/Pulse-Width Modulation (PWM) Channels

    Three 16-Bit General-Purpose Timers With Six Modes, Including Continuous Up and

    Up/Down Counting

    Three 16-Bit Full-Compare Units with Deadband

    Three 16-Bit Simple-Compare Units

    Four Capture Units (Two with Quadrature Encoder-Pulse Interface Capability)

    Dual 10-Bit Analog-to-Digital Conversion Module

    28 Individually Programmable, Multiplexed I/O Pins

    Phase-Locked-Loop (PLL)-Based Clock Module

    Watchdog Timer Module (With Real-Time Interrupt)

    Serial Communications Interface (SCI) Module

    Serial Peripheral Interface (SPI) Module

    Six External Interrupts (Power Drive Protect, Reset, NMI, and Three Maskable Interrupts)

    Four Power-Down Modes for Low-Power Operation

    Scan-Based Emulation

    Development Tools Available:

    Texas Instruments (TITM) ANSI C Compiler, Assembler/Linker, and C-Source Debugger

    Scan-Based Self-Emulation (XDS510TM)

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    Third-Party Digital Motor Control and Fuzzy-Logic Development Support

    Sampling Cycle

    Eight circuit parameters are sensed and processed by the DSP controller, based on which the control loopfunctions. The circuit parameters are listed as follows:

    Input voltage to the converter Vin

    Input current Iin

    Upper DC capacitor voltage, V+

    Upper DC capacitor voltage, V-

    Inductor current for bridge leg 1, IL1

    Capacitor voltage for bridge leg 1, VC1

    Inductor current for bridge leg 2, IL2

    Capacitor voltage for bridge leg 2, VC2

    The detailed operation of the DSP sampling cycle is explained in the Appendix A.

    2.8 Design of heatsinks

    The first step in the designing of heat sinks is to determine the total thermal resistance between junction to

    ambient and the accordingly determine the thermal resistance of the heatsink. Thermal resistance of a heat

    sink can be approximated to

    50sa

    RA

    = (36)

    Where Rsa is the thermal resistance of the heatsink and A is the total surface area of the heatsink in cm2.

    Based on the selection of the power devices, the area of the heatsinks required can be calculated. For

    example, for the MOSFET selected IRFP260N,

    Rcs = 0.24oC/W (thermal resistance between case and sink)

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    Rjc = 0.4oC/W (thermal resistance between junction and case)

    Tjmax = 175oC (maximum junction temperature)

    Ta = 40oC (Operating ambient temperature)

    The relationship between power dissipation and temperature is given by,

    jmax a

    ja

    D

    T TR

    P

    = (37)

    where,

    PD = 121 Watt (Power dissipation at ambient temperature based on 55A current and RDSON = 0.04)

    Rja = 1.116oC/W (thermal resistance between junction and ambient)

    The thermal resistance between heat sink and ambient is given by, Rsa ,

    sa ja jc csR R R R= (38)

    Rsa = 0.476oC/W (thermal resistance between heatsink and ambient )

    Therefore, area of the heatsink required based on equation 21 is 10.5 cm 2.

    A suitable heatsink is Digikey part no 294-1025-ND. The dimensions of this heatsink are 35.05mm x

    6.35mm x 44.45mm. Similarly, the other heatsinks are chosen.

    2.9 Design of the RC snubber

    Power semiconductors are the heart of power electronics equipment. Snubbers are circuits, which are

    placed across semiconductor devices for protection, improve performance and achieve one or more of the

    following:

    Reduce or eliminate voltage or current spikes

    Limit dI/dt or dV/dt

    Shape the load line to keep it within the safe operating area (SOA)

    Transfer power dissipation from the switch to a resistor or a useful load

    Reduce total losses due to switching

    Reduce EMI by damping voltage and current ringing

    The snubber circuit used is shown in Fig

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    To achieve significant damping CS > Cp, where Cp is the output capacitance of the switch. A good first

    choice is to make CS equal to twice the sum of the output capacitance of the switch and the estimated

    mounting capacitance. RS is selected so that RS=V / I . This means that the initial voltage step due to the

    current flowing in RS is no greater than the clamped output voltage. The power dissipated in RS can be

    estimated from peak energy stored in CS is

    2

    2

    sp

    C VE = (39)

    This is the amount of energy dissipated in R s when C s is charged and discharged so that the average

    power dissipation, Pdiss , at a given switching frequency (fS) is

    2diss s SP C V f = (40)

    Depending on the amount of ringing the actual power dissipation will be slightly higher than this.

    For IRFP 260N, Coss = 603pF and an additional mounting capacitance of 40pF can be considered. Thus

    the value of Cs should be 1286 pF. The resistance should be 4.7.

    For the IGBT, IRG4BC30UD, output capacitance is 73pF. Hence, snubber capacitance of 200pF is

    suitable. The snubber resistance should be 47.

    2.10 Important component values designed for 10kw system

    Based on the theory, mathematical calculations and simulation results of the 1.5kW inverter design, the

    same topology has been extended to 10kW design. The following design values have been obtained.

    Maximum voltage stress of the MOSFETs : 250V ; Maximum current stress of the MOSFETs : 329A

    Maximum voltage stress of the IGBTs : 500V ; Maximum current stress of the IGBTs : 80A

    DC capacitors : 2200uF/450V

    Coupled inductor at the output of rectifier : 240uH at 45A

    Output Filter Capacitor : 135uF/250V ; Output Filter Inductor : 180uH

    For the transformer design, Magnetics Inc, ferrite U type core 49925 is suitable.

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    3.0 Manufacturing Issues

    Presently a laboratory level prototype is being developed at the power electronic laboratory at UCF. For

    the purpose of this competition, all the necessary manufacturibility has been addressed to meet the desired

    specifications. The most important aspect was meeting the FCC Class A industrial requirements for

    conducted and radiated EMI. The FCC ClassA standards considered for design is discussed in Table 1.

    Frequency

    (MHz)

    Radiated Emissions (10m)

    V/m

    dBV/m

    30-88 90 39

    88-216 150 43.5

    216-960 210 46

    >960 300 49.5

    Frequency

    (MHz)

    Conducted Emissions

    V

    dBV

    0.45-1.705 1000 60

    1.705-30 3000 69.5

    Table 1: FCC Emission Limits for Class A Digital Devices

    3.1 Electrical Mounting and Termination

    As with any precision electronic device, proper mounting and electrical termination is necessary for the

    trouble free and reliable operation of the circuit. Improper electrical termination can cause damage to the

    electrical connectors, resulting in the inverter's failure. Improper mounting of the devices can create

    stresses (both thermal and mechanical) within the inverter, possibly shortening the operation life of the

    device.

    3.2 PCB Trace selection

    When a component is electrically mounted to a printed circuit board, there are essentially two methods of

    actual mounting: soldering the component directly to the printed circuit board, and using a single socket

    (or dual socket). Either method has its advantages and disadvantages; however, a socket method of

    mounting may be preferred in a field repairable system. Direct soldering has the immediate advantage of

    ease of manual mounting; however, it may suffer from service related, and automated assembly

    drawbacks.

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    Not surprisingly, choosing a printed circuit board track size is slightly more complex than choosing a

    specific wire gauge, given a particular current. In printed circuit board applications, the maximum

    allowable temperature rise of the track becomes an important design consideration. Table 2 is a general

    guideline for the current carrying capacity of different external, plated, printed circuit board track sizes

    for different temperatures and copper sizes.

    Temperature Rise 10oC 20

    oC 30

    oC

    Copper 2 oz 2oz 2 oz

    Trace Width (mil) Max Current (A) Max Current (A) Max Current (A)

    .010 1.4 1.6 2.2

    .015 1.6 2.4 3.0

    .020 2.1 3.0 3.6

    .025 2.5 3.3 4.0

    .030 3.0 4.0 5.0

    .050 4.0 6.0 7.3

    .075 5.7 7.8 10.0

    .100 6.9 9.9 12.5

    .200 11.5 11.0 20.5

    .250 12.3 20.0 24.5

    Table 2: PCB trace selection guideline

    As observed from the previous table, printed circuit boards cannot handle large currents unless proper

    track width and copper weight is used. (for example, PC Board mounting for the input section carrying

    about 40A is only recommended when specific care is taken such as a 3 oz. copper PCB with two 75 Mil

    tracks handle the current ). A 10C temperature rise is quite acceptable, however, a 45C temperature rise

    is not recommended for continuous use. Track width should be increased to carry the current and reduce

    self-heating.

    Another important point that requires mentioning concerns the presence of multiple pins for apparently

    the same function. In order to eliminate possible damage to the power pins, each pin of the same function

    should be externally wired in parallel to spread the current over the required number of pins.

    3.3 Heat Sink Issues

    The next issue concerning manufacturability is designing of proper heatsinks for the power devices and

    ICs. The reliability and longevity of any semiconductor device is (roughly) inversely proportional to the

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    square of the junction temperature change. Thus halving the junction temperature will result in

    approximately 4 times the expected life of the component. The converse is also true! A worthwhile

    increase in reliability and component life can be achieved by a relatively small reduction in operating

    temperature, since these parameters increase exponentially as temperature is reduced. The whole process

    of removing heat from a semiconductor's active area (the die or 'junction') involves many separate thermal

    transfers. In order to see a meaningful result, we need a heat-input value and an ambient air temperature.

    From these two basic elements, the entire heat flow can be established.

    Fig. 10 shows the equivalent circuit for a heat sink illustrating the thermal resistances and junction

    capacitors.

    The thermal resistance between a transistor junction and the ambient air determines whether a heat sink is

    adequate. This thermal resistance is defined as follows:

    j A

    ja

    (T T )R

    P

    =

    where:

    jaR = junction to ambient thermal resistance

    jT = junction temperature

    AT = ambient temperature

    P = power dissipation

    The thermal resistance of the package is a critical component of the overall thermal resistance, as shown

    by the following formula:

    ja jc caR R R= +

    where:

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    jcR = junction to case thermal resistance =j CT T

    P

    caR = case to ambient thermal resistance =c AT T

    P

    When a heat sink is added to the package, the equation becomes more complex:

    ja(HS) jc cs saR R R R= + +

    where:

    csR = case to sink thermal resistance (this is the resistance of the epoxy, thermal grease, adhesive pad, etc.

    that is used to create a thermal bond between the package and the heat sink) = c HSBT T

    P

    saR = heat sink thermal resistance =HSB AT T

    P

    HSBT = temperature at the heat sink base

    Fig 10: Thermal resistance

    An ambient temperature of 25 oC is a good starting point, and provides a safety margin for most domestic

    systems, although as we shall see later on, it is important to design for worst case if reliability is to be

    maintained. The primary aim of the heatsink design is to ensure that the total thermal resistance is kept to

    the minimum possible value, and the entire design process looks at thermal resistance as the primary item

    to be calculated. Only after this has been determined can the actual temperature of the transistor junction

    be predicted. Aluminum oxide (anodized aluminum) is an excellent electrical insulator, and provides very

    good heat transfer, but is fragile and easily damaged. Even a small scratch will generally allow an

    Heat

    Source

    Rth ( j- case) Rth ( case-hs ) Rth (hs-amb)

    Cj

    Ccase

    Chs

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    electrical short circuit, and obtaining a consistently thick (relatively speaking) layer of oxide is difficult in

    the extreme in mass produced heatsink extrusions.

    One of the most common mistakes made, is to assume that if a little thermal compound is good, a lot

    must be better. Absolutely not so! The amount of thermal compound should be exactly that amount which

    ensures that an air-free join is made between the mating surfaces. If too much is applied it will cause an

    increase in thermal resistance, since it is not that good at conducting heat. Generally speaking, any

    electrical insulator is also a thermal insulator, so the thinner the final composite insulation - including

    thermal "grease" - the better. The procedure applied by the students is - Apply a small quantity of the

    thermal compound to one finger, then gently rub with the thumb to create an approximately even coating

    on finger and thumb. Then rub the thermal compound onto a washer, held between thumb and finger,

    ensuring that the coating is just thick enough to be opaque, but thin (and even) enough to ensure that the

    contact will be absolute on both surfaces (transistor and heatsink). There is only one thing on a heatsink

    that actually gets rid of heat to the surrounding air - surface area. The higher the surface area, the more

    heat will be disposed of. Heat is lost to the air by two mechanisms, and both should be maximised for best

    performance:

    Conduction / Convection

    Radiation

    Conduction (and / or convection) requires that there is a continuous stream of air flowing past the fins of

    the heatsink, which means that the fins should be vertical if at all possible. Horizontally oriented fins will

    lose a vast amount of thermal transfer, since the air cannot flow through to the body of the heatsink.

    Radiation requires that the surface has the maximum emissivity of heat, and this means that its colour is

    important. Matte black heatsinks are the best for radiation, and will have a significantly better thermal

    resistance than any other. This is one of the reasons that aluminum is so popular as a heatsink material - it

    can be anodized, and black dye is then introduced into the porous layer of aluminum oxide.

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    3.4 Wiring Considerations:

    One of the most important wiring considerations is that control wire and power wires should never run

    parallel to each other. They should be at least 20cm apart and if possible wires should run perpendicular

    to each other. For the control connection, shielded wire should be used and the shield should be connected

    to earth at both ends of termination. Also since the control signal is 0-5V analog signal, the length of the

    wire between the control terminals should not be more than 2m. This places a restriction on the distance

    of between the inverter and the Fuel Cell. Furthermore, mounting of the boards inside the inverter cubicle

    is of prime importance. It should be mounted firmly to reduce the risk of damage due to vibrations while

    operation. The magnetic components and the driver circuit of the inverter should be designed such that it

    produces minimum noise.

    All the nuts, bolts and screws used should be of brass, which is light in weight and provides conduction

    path for ESD to be grounded.

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    4.0 Educational Impact

    4.1 About the university and college

    The unparalleled growth and development of University of Central Florida's College of Engineering and

    Computer Science is one of those community success stories that can make us all justifiably proud.

    Chartered in 1963, the first students arrived in 1968, with initial enrollment numbering 188 in the College

    of Engineering. In the Fall of 2000, engineering enrollment was about 4,300, placing UCF in the top 16

    percent of all similar colleges in the United States. The charter-engineering faculty numbered eight,

    today 150, plus about 30 from other colleges and institutes holding joint appointments in the College. The

    College of Engineering and Computer Science has a vision for the future that is made possible through

    the dedication of the administrators, faculty, and staff associates within the college who are committed to

    the students whom they serve. Three minority and three women students were enrolled in the charter

    class, today there are over 600 minority and 700 women. The college is the administrative arm of three

    engineering Departments, (Civil and Environmental Engineering, Industrial Engineering and

    Management Systems and Mechanical Materials and Aerospace Engineering), a School of Electrical

    Engineering and Computer Science, an Engineering Technology Department, and two ROTC units.

    There are nine baccalaureate degree programs, 16 masters programs, and eight Ph.D. programs within the

    college.

    4.2 Power Electronics Progress at UCF

    UCF offers graduate and undergraduate level courses in Power Electronics as part of the Electrical

    Engineering (EE) degree program.Power Electronics has been as a sub-track in the School of Electrical

    Engineering and Computer Science at the University of Central Florida since 1991, when Dr. Batarseh

    joined the institution. Two years ago, in order to highlight the importance of educational and research

    activities in power electronics at UCF, Florida Power Electronics Center (FloridaPEC) was established.

    Website is http://floridapec.engr.ucf.edu FloridaPECs objective is to carry out research and development

    activities in the area of power electronics to improve efficiency, power density, performance and most

    importantly make the systems practical and cost effective. The main objective for participating in the

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    Future Energy Challenge 2001 has been to bring an awareness among the budding undergraduate

    engineering students about the present day energy situations and possible solutions that the field of power

    electronics offers. We believe student participation in this project will allow them to experience first hand

    the theoretical and experimental side of the field of power electronics, which provides a very attractive

    career opportunity.

    4.3 Student Participation in the project

    Students having background in power electronics topics were chosen for this project. The team consists of

    four undergraduate students and one Masters student. Three of the undergraduates are participating as

    members of the capstone senior design project. The project provided the students a wonderful opportunity

    to acquire necessary skills and design tools with a practical real life design problem.

    The starting point of any project is a good and extensive literature review. The students did an extensive

    literature review and that provided the students a good idea about the latest developments in the field of

    inverters. Since the inverter was meant for domestic use, the prime goal was that the topology used should

    be simple and easy to implement. Also it should be absolutely maintenance free.

    The most challenging aspect in the topology chosen was the DC-DC push-pull converter. The presented

    push-pull configuration is good for medium to high power applications is around 15kW maybe, beyond

    which handling the high input current and keeping the ripples low becomes a tough task. Also making the

    inverter compact was another major consideration for choosing the push-pull configuration. At the

    proposal writing stage, we did propose to use two parallel half-bridge inverter stages to realize the three-

    wire output configuration. That meant that we would have to use extra secondary winding and extra diode

    bridge rectifier. However later we did modify the topology without having to put the additional circuitry.

    Since this is an unfunded project for FloridaPEC, design optimization was of prime importance for cost

    control. All the available resources were put to best possible use. The aim was to build a laboratory level

    1.5kW prototype, which meets most of the designed specifications technically and commercially. Based

    on the rules of the competition, if the prototype is selected for final testing, then the issues of packaging,

    transportation will be taken care of.

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    Another very important thing from the educational point of view was not a single item has been out

    sourced for manufacturing. Every item has been built in the laboratory including the main transformer,

    inductors and the PC board.

    4.4 Project Design Steps

    After the components were designed and results verified mathematically, the following systematic

    approach was followed:

    Identification of vendors: Each student was given the task of identifying vendors for each of the

    components, analyze their products, compare specs with other vendors, contact them for samples and

    finally to try and match with the components already existing in our lab. This did provide the students the

    opportunity to have conversations with technical experts from industry.

    Procurement of components: All the components for this project are procured from Digikey. An online

    account was established with Digikey for purchasing components and the students managed the same. At

    end of each week, the list of expenditures was submitted to the administrative department for accounting

    purposes. Therefore, cost over run was always kept in check.

    Designing of magnetic components: A complete systematic design procedure was used for the

    magnetics design. Companies like Magnetics and Micrometals did help the university by sourcing sample

    cores and bobbins. The students using appropriate wire gauge wound the transformer and inductors. After

    the winding, the proper air gap was adjusted and the cores were packed. An Impedance Analyzer was

    used to test the values of the magnetic components and the measured values did match the expected

    values. For example, the output filter inductor was designed for 2mH. The result from the impedance

    analyzer showed Inductance = 1.9mH and the measured resistance was 0.2 ohms.

    PCB Layout: The PCB layout was done using Layout Plus software from ORCAD. After finishing the

    layout the PC board was etched in the lab by using the T-Tech PCB maker, model Quick circuit 5000.

    Special attention was paid to the PCB trace thickness, separation of analog and digital and power signals

    for minimizing EMC problems.

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    DSP software development: For this project the TMS320F240 evaluation module was used. This

    evaluation module was already available in our lab and hence the same was used. The development of

    software for this DSP requires lot of software development skills and is totally developed by the students.

    The total software is still not complete, some parts needs to be modified further to meet all the

    specifications and most importantly, the protection mechanism has to be fool proof.

    4.5 Educational Benefits

    Overall, the project provided a good learning experience for the five students in terms of providing:

    Technical multi-disciplinary design opportunity

    Opportunity for project planning and management

    Knowledge in manufacturing techniques

    Use of professional software packages like ORCAD, PowerSIM, PCB maker, etc.

    How to manage expenses and reduce cost

    Learning means of effective resource utilization

    Team work and the importance of project cooperation

    Good technical and commercial Communication skills

    Realizing the acute power crisis we may face in the future and think of alternatives

    Model for senior design projects

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    5.0 Inverter Operating Instructions

    Figure 11 below shows the complete panel schematics

    Fig 11: Power panel schematic

    Checklist before Powering Up

    Observe all of the ESD measures when handling components.

    Tightenup all bolts and screws

    Correctly, insert all connectors and lock/screw into place

    Check the interconnection between the power and the control sections

    Observe the poweron sequence as described below

    Fuse

    vac

    BATTERY

    48V

    _ +

    BATTERY

    12V

    + -

    FUELCELL48V

    _ +

    Relay R1

    MCB1

    MCB2

    MCB1 AUX

    R2 NC

    +

    _

    Push-Pull

    Transformer

    dc-dc

    Inverter Stage

    dc-ac

    Low-Pass

    Filter

    Idc Iac

    R1 NO

    DC Cap

    DSP

    IL

    Vc

    Fuel-cell

    Ready

    Inverter

    FaultRelay R2

    Vdc

    Vin

    Iin

    PWM

    Protection

    PWM

    OR GATEAnalog

    Output

    Load

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    If the unit is frequently powereddown and up, the DC link capacitors retains high voltage even when the

    main supply to the inverter is OFF. Only discharge the unit at the DC link buses through a minimum of

    10W.

    All switches should be in OFF position

    Ground all components and connect all of the shields.

    Board Designations

    A1 : Power Board : Houses the power devices and the power circuitry

    A2 : Interface Board : Houses the feedback and the driver circuitry

    A3 : DSP Evaluation Board

    Power Up and Operation Guidelines

    Make the power connections

    Turn ON the power supply to the DSP evaluation board

    Turn the power supply for the interface board ( from the Battery bank )

    Put the Main Power supply MCB ON ( the battery supplies the Inverter )

    The auxiliary contact of the MCB turns the battery contactor ON.

    The main contactor coil is connected through the NC contact of a control relay, which is

    controlled by the analog output of the DSP.

    Inverter starts up and the DSP generates a signal Inverter ON . This signal is given to the Fuel

    Cell Controller

    Inverter keeps running on battery till the fuel cell controller generates the signal Fuel Cell

    Ready

    Once the Inverter controller receives the ready signal from the Fuel Cell controller, the power

    from the battery is cut off through a contactor, after a finite delay. This delay is programmable.

    This feature ensures that the inverter actually runs from the fuel cell supply and not supported by

    the battery. Battery is used only for back up supply.

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    During operation, the available power level signal from the fuel cell controller is compared

    with the required power level signal of the inverter. Whenever required power level is

    greater than available power level, the battery contactor turns ON.

    The control relay operates only when the Fuel Cell Ready signal (H = 5V) is received by the

    inverter controller.

    Under any fault condition, the driving signal from the Inverter controller is inhibited and

    Inverter Trip signal is generated. This signal also drops out the battery contactor.

    Inverter Status is available through the 9-pin RS232 port and the same port can be used for

    troubleshooting the inverter. Necessary software will be supplied.

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    6.0 Simulation and experimental results

    The 1.5kw and 10kw circuit has been simulated using Pspice schematics. The simulation circuits are

    shown in Appendix C.

    Fig 12: Differential Voltage and current waveform under normal resistive load

    Fig 13: Phase 1 and Phase 2 voltage waveform

    Differential current for a resistive load of 35

    480V pk-pk

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    Fig 16: Load current waveform under unbalanced load conditions

    Fig 17: Output Filter Capacitor voltage waveform under unbalanced load conditions

    Fig18: Output Filter Inductor current waveform under unbalanced load conditions

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    Fig 19: Voltage feedback waveform for DSP

    Fig 20: Current feedback waveform for DSP

    Fig 21: Voltage and current waveforms for 10kW system

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    Experimental Result of 1.5Kw prototype output waveform

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    7.0 Cost Evaluation Spreadsheet

    The modified cost evaluation spreadsheet prepared by the Organizing Committee is attached for both the

    1.5kw prototype and 10kw system. A major factor in selection of the components is the rate of

    obsolescence. Care has been taken to ensure that all the selected components especially the power devices

    and the driver ICs will be supplied by the respective companies for the next 10 years. Hence the

    servicing of the product will not be affected even if the components are no longer produced.

    In the cost evaluation spreadsheet, exact cost headers considered under the items Losses, Control and

    Packaging is not very clearly explained. Hence we have considered $ 50 for the 1.5kw and $100 for the

    10kw system under the item Other. This includes costs towards

    Protection Fuses, PCB Board

    Cables ( Control and Power )

    Battery Charger

    Surge suppressors

    EMI filter

    Sensors

    Terminal connectors ( ELMAX )

    Electricity, Telecommunication and stationary

    The design of feedback circuitry and the DSP control scheme including software does not change with the

    increase of power rating and hence the increase in cost towards these items is not proportional to power

    rating. The costing principle followed should be Activity based costing as that is most logical for mass

    production in a factory. The complete process of from the design table to the completed product is broken

    up into activities and each activity is assigned a cost. The prototype is developed totally inside the school

    lab and hence the spreadsheet calculation may not reflect the exact costing especially the magnetic

    components.

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    2001 FUTURE ENERGY CHALLENGE : 1.5kW COSTING

    UNIVERSITY: University of Central Florida

    NAME OF MAIN CONTACT: Dr Issa Batarseh

    PROJECT NAME: EnergyChallenge 2001

    DATE: 15th June, 2001

    VOLT VOLT CUR CUR UNIT XTENDED

    DEVICE QTY DESIG UNIT EASURE (Vpk) (Vrms) (Avg) (Arms) COST COST

    DIODE 4 D1-D4 500 10 2.51 10.05

    IGBT 4 Q3-Q6 600 20 4.86 19.44

    MOSFET 4 Q1-Q2(2 Parallel) 200 45 8.65 34.58

    CAP (ALUM) 2 C1,C2 560 uF 450 15.80 31.61

    CAP (ALUM) 3 CIN 0.22 uF 100 0.10 0.31

    CAP (FILM) 2 C3,C4 10 uF 400 7.98 15.96

    POWER RESISTOR 4 R1-R4 50 W 2.64 10.56

    CHOKE 3 L1,L2.L3 2000 UH 8 47.76 143.29

    TRANSFORMER 1 T1 48 55 9.17 9.17

    CONTACTORS 2 M1,M2 48 55 4.74 9.48

    CONTACTORS 1 Relay 1 5 1 2.83 2.83

    LOSSES 200 W 16.67 16.67CONTROL 60.79

    PACKAGING 45.59

    OTHER (EXPLAIN) 50.00

    TOTAL 460.33

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    2001 FUTURE ENERGY CHALLENGE : 10kW COSTING

    UNIVERSITY: University of Central Florida

    NAME OF MAIN CONTACT: Dr Issa Batarseh

    PROJECT NAME: EnergyChallenge 2001

    DATE: 15th June, 2001

    VOLT VOLT CUR CUR UNIT XTENDED

    DEVICE QTY DESIG UNIT EASURE (Vpk) (Vrms) (Avg) (Arms) COST COST

    DIODE 4 D1-D4 500 45 4.10 16.39

    IGBT 4 Q3-Q6 600 50 11.98 47.91

    MOSFET 6 Q1-Q2(2 Parallel) 200 100 14.57 87.42

    CAP (ALUM) 2 C1,C2 2200 uF 400 48.84 97.68

    CAP (ALUM) 3 CIN 0.22 uF 100 0.10 0.31

    CAP (FILM) 2 C3,C4 120 uF 250 35.07 70.15

    POWER RESISTOR 4 R1-R4 100 W 4.24 16.96

    CHOKE 3 L1,L2.L3 180 UH 45 61.19 183.56

    TRANSFORMER 1 T1 48 225 18.16 18.16

    CONTACTORS 2 M1,M2 48 225 10.65 21.29

    CONTACTORS 1 Relay 1 5 1 2.83 2.83

    LOSSES 1000 W 83.33 83.33

    CONTROL 129.20

    PACKAGING 96.90

    OTHER (EXPLAIN) 100.00

    TOTAL 972.09

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    References Cited

    [1] Energy Challenge website http://www.energychallenge.org

    [2] Ying-Yu Tzou; Shih-Liang Jung, Full control of a PWM DC-AC converter for AC voltage regulation,

    Aerospace and Electronic Systems, IEEE Transactions on, Volume: 34 Issue: 4, Oct. 1998 Page(s): 1218 1226

    [3] Shireen, W.; Arefeen, M.S., An utility interactive power electronics interface for alternate/renewable energy

    systems, Energy Conversion, IEEE Transactions on, Volume: 11 Issue: 3, Sept. 1996 Page(s): 643 649

    [4] Chiang, S.J.; Liaw, C.M., Single-phase three-wire transformerless inverter, Electric Power Applications,

    IEEE Proceedings-, Volume: 141 Issue: 4, July 1994 Page(s): 197-205

    [5] Venkataramanan, G.; Divan, D.M., Pulse width modulation with resonant DC link converters, Industry

    Applications, IEEE Transactions on, Volume: 29 Issue: 1 Part: 1, Jan.-Feb. 1993 Page(s): 113 -120

    [6] Gui-Jia Su; Ohno, T., A new topology for single phase UPS systems, Power Conversion Conference

    Nagaoka 1997, Proceedings of the, Volume: 2, 1997 Page(s): 913 -918 vol.2

    [7] Mohan, N., Undeland, T., Robbin, W., (1995). Power Electronics: Converters, Applications, and Design. New

    York. John Wiley & Sons, Inc.

    [8] Rashid M. H., Power Electronics: Circuit Devices, and Applications. New Jersey.Prentice Hall 1993.

    [9] Enrique A. Tenicela, A Study of Pulse Width Modulation Techniques in Power Static Inverters , a thesis

    submitted in partial fulfillment of the requirements for the Honors Program at UCF, Orlando, Florida.

    [10] Texas Instrument website http://www.ti.com

    [11] Pekik Dahono, A Purwadi and Qamaruzzaman, A LC Filter design for single phase PWM inverters

    [12] US Department of energy website http://www.energy.gov

    [13] Powerdesigners Inc website http://www.powerdesigners.com

    [14] Dr Issa Batarseh, Introduction to Power Electronics, chapter 4,5 and 9.

    [ 15] Colonel Wm T Mclyman , "Magnetic Core Selection for Transformers and Inductors"

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