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    November 2009 Issue

    1 Mapping of Equal Area Criterion

    Conditions to the Time Domain

    for Out-of-Step Protection

    6 RTDS Simulator Technology Review

    9 Design of a Bidirectional Buck-Boost

    DC/DC Converter for a Series HybridElectric Vehicle Using PSCAD/EMTDC

    14 Knowledge is Key

    16 PSCAD 2009 Training Sessions

    November 2009

    A new procedure for out-of-step protection by

    mapping the equal area criterion conditions

    to the time domain was investigated by the

    power system research group of the University

    of Saskatchewan. The classification between stable

    and out-of-step swings is done using the accelerating

    and decelerating energies, which represents the area

    under the power-time curve. The proposed approach

    is based only on the local electrical quantities avail-able at the relay location, and does not depend on the

    network configuration and parameters. The proposed

    algorithm has been tested on a single machine infinite

    bus and a three machine infinite bus system using

    software simulations from PSCAD.

    There are various techniques available in literature

    and in practice to detect out-of-step conditions. Most

    popular conventional out-of-step detection techniques

    use a distance relay with blinders in the impedance

    plane and a timer. The blinder and timer settings

    require knowledge of the fastest power swing, the

    normal operating region, and the possible swing

    frequencies, and are therefore system specific [1].

    Another technique monitors the rate of change of

    swing centre voltage (SCV) and compares it with a

    threshold value to discriminate between stable and

    out-of-step swings. With some approximations,

    the SCV is obtained locally from the voltage at the

    relay location, which consequently makes the SCV

    independent of power system parameters. However,

    the approximation is true only if the total system

    impedance is close to 90 [2]. For a multi-machine

    system, the voltage measured at relay location

    does not give an accurate approximation of SCV.

    The technique also requires offline system stability

    studies to set the threshold value (rate of change

    of SCV), thereby making it system specific.

    Other techniques, based on energy function criterionand classical equal area criterion are proposed in

    references [3] and [4]. These methods also have

    certain drawbacks which do not make them readily

    applicable to implement in a protection algorithm.

    These drawbacks are outlined in more detail in a

    separate document by the authors which can be

    made available for further reading.

    Reference [4] proposed an out-of-step detection

    technique based on the classical equal area criterion

    (EAC) in the power angle ( ) domain. Pre and post-

    disturbance power-angle (Pe- ) curves of the system

    are to be known to the relay. As the Pe- curves

    are dependent on the system configuration, many

    measurement and communication devices at various

    locations are required to gather the current system

    information.

    This project uses the above concept of EAC modified

    to the time domain. An out-of-step protection

    methodology is proposed using the concept of time

    domain EAC. The time domain EAC is based on the

    Mapping of Equal Area Criterion Conditions

    to the Time Domain for Out-of-Step ProtectionSumit Paudyal, University of Waterloo, Canada

    Gokaraju Ramakrishna & Mohindar S. Sachdev, University of Saskatchewan, Canada

    Departments of Electrical and Computer Engineering

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    2 P U L S E T H E M A N I T O B A H V D C R E S E A R C H C E N T R E J O U R N A L

    power-time (Pe-t) curve instead of the Pe- curves. The

    proposed technique uses only local output power (Pe)information. The electrical output power, Pe, over time

    is calculated from local voltage and current measure-

    ments. The transient energy (area under the Pe-tcurve)

    is computed, and the swing is classified as stable or

    out-of-step based on the areas computed. The effec-

    tiveness of the proposed algorithm has been studied

    for a Single Machine Infinite Bus (SMIB) and a Three

    Machine Infinite Bus System using the PSCAD

    simulation software tool.

    Proposed Algorithm Figure 1 shows an SMIB

    configuration. A three phase fault is applied at the

    middle of TL-II. The fault is cleared with some delay by

    simultaneously opening the two breakers A and B.

    The transient response following a disturbance in the

    SMIB configuration is obtained if the swing equation

    (1) is solved using numerical integration techniques,

    where M is the generator inertia constant and is the

    system frequency.

    The advantage of EAC in domain is that it describes

    the stability of the system without solving the swing

    equation. The difficulties associated with EAC in

    domain to detect an out-of-step condition were dis-

    cussed in the previous section. The proposed algorithmis based on Pe-tcurve and this information can be

    obtained directly from the measurements at relay

    location. Thus, the proposed algorithm does not

    require the solution of the swing equation to obtain

    the Pe-tcurve.

    Figure 2 shows the Pe- curves for stable system.

    Figure 3 shows the Pe- curves for an unstablesystem. The corresponding Pe- curves are shown

    in Figures 4 and 5.

    In Figures 2 and 3, e represents the power angle

    before the fault, c represents the power angle at

    the instance of fault clearing and maxrepresents the

    maximum swing of the power angle. The EAC in

    domain shows that for a system to be stable, areaA1

    is equal to areaA2, and areaA2 occurs before - 0.

    The maximum swing of , max, for a stable swing is

    less than - 0.

    The mathematical expressions to evaluate areaA1

    andA2 in time domain can be derived from the

    swing equation (1). If the speed deviation of the

    rotor is , then

    where (t) is the speed of the rotor during transient.

    Figure 1 A single machine infinite bus system.

    Figure 2 Pe- curves illustrating a stable case.

    Figure 3 Pe- curves illustrating an unstable case.

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    N O V E M B E R 2 0 0 9

    where tmaxis the time when = max. For a stable

    system, at tmax, the speed of the rotor is synchronousspeed, so the speed deviation is zero. For an out-of-

    step condition, the speed of the rotor at tmaxis greater

    than the synchronous speed. Thus, the total area

    for stable and out-of-step conditions from (5) and (6)

    is given as follows:

    For a stable condition,

    For an out-of-step condition,

    Equations (7) and (8) are the expressions for EAC in

    time domain. The area under the Pe-tcurve represents

    energy. Thus, this concept can be referred to as the

    energy equilibrium criterion in the time domain.

    A balance of transient energy results in a stable swing

    whereas an unbalance of transient energy results in

    an out-of-step swing.

    Integrations in (7) and (8) are approximated by sum-

    mation and Pm is set to Pe before the fault inception.

    Thus, for a stable condition, the sum of two areasA1

    andA2 becomes,

    For an out-of-step condition,

    wheret

    0: Time when first occurs

    tmax

    : Time when (stable) or time when

    From (1) and (2),

    Integrating (3),

    Areas are obtained from (4) by setting the limits of

    integration accordingly.

    Figure 4 Pe-t curve for a stable case.

    Figure 5 Pe-t curve for an out-of-step case.

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    4 P U L S E T H E M A N I T O B A H V D C R E S E A R C H C E N T R E J O U R N A L

    Equation (9) and the limit tmaxfor stable case do

    not become exactly equal to zero because of the

    approximation of integration by summation.

    They are modified as:

    tmax

    : Time when and (Stable)

    Equations (10) and (11) along with the conditions for

    t0 and tmaxform the proposed algorithm for out-of-step

    detection. Based on the proposed algorithm, a decision

    regarding a stable or out-of-step condition is always

    made at tmax(time corresponding to max) with an error

    of tor less. Details, such as generator losses and

    house loads, must be accounted for in the calculations.

    SMIB Simulation A power system, as shown in

    Figure 1, is used to test the proposed algorithm on an

    SMIB configuration. An out-of-step relay is located at

    R.At R.A discrete Fourier transform (DFT) technique

    is used for estimating the values of voltage and current

    phasors. The pre-fault power angle ( 0) is set at 30.

    A three phase fault is applied at the middle of TL-II

    and four different simulations are carried out with

    fault duration times of 0.167, 0.20, 0.233 and 0.267 s.

    Power system transient simulation tool PSCAD is

    chosen for the simulation with a simulation time step

    of 50s. The fault duration times of 0.167 and 0.20 s

    make the system stable whereas the fault duration

    times of 0.233 and 0.267 s result in an out-of-step

    condition. The P-tcurves are shown in Figures 6 and 7

    for two cases and the results are summarized in Table I.

    The simulation results show that the proposed algo-rithm discriminates the stable and out-of-step swings

    effectively. The cases 1 and2 are decided as stable

    swing as the total areaA becomes zero. In cases 3 and

    4; total area A becomes 0.034 and 0.051 pu-s respec-

    tively. Thus, these cases are decided as out of step.

    Figure 6 Pe-t curve for 0=30 and fault cleared after 0.20 s.

    Figure 7 Pe-t curve for 0=30 and fault cleared after 0.233 s.

    Table 1 Summary of stable and out-of-step swings on a SMIB system.

    Case 1 2 3 4

    Power Angle (0) 30 30 30 30

    Fault Duration Time, s 0.167 0.20 0.233 0.267

    Area (A1) pu-s 0.048 0.054 0.061 0.067

    Area (A2) pu-s -0.048 -0.054 -0.027 -0.016

    A=A1+A

    20 0 0.034 0.051

    Decision Time, s 0.640 0.850 0.598 0.504

    Decision Stable Stable OS OS

    OS: Out-of-step

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    N O V E M B E R 2 0 0 9

    Acknowledgment The authors greatly appreciate

    the help provided by Dr. Dharshana Muthumuni

    and Mr. Juan Carlos Garcia Alonso (Manitoba HVDC

    Research Centre) with PSCAD software.

    References

    [1] W. A. Elmore, Protective Relaying Theory and Applications,

    2nd ed., rev. and expanded. ed.New York: Marcel Dekker, c2004.

    [2] D. Tziouvaras and D. Hou, Out-Of-Step Protection Fundamentals

    and Advancements, Proc. 30th Annual Western Protective Relay

    Conference, Spokane, WA, October 21-23, 2003.

    [3] R. Padiyar and S. Krishna, Online Detection of Loss of Synchronism

    using Energy Function Criterion, Power Delivery, IEEE Transactions

    on, vol. 21, pp. 46-55, 2006.

    [4] V. Centeno, An Adaptive Out-of-Step Relay for Power

    System Protection, Power Delivery, IEEE Transactions on,

    vol. 12, pp. 61-71, 1997.

    [5] M. A. Pai, Energy Function Analysis for Power System Stability,

    Boston: Kluwer Academic Publishers, c1989.

    Appendix

    The system study parameters are outlined in a separate document by

    the authors which can be made available for further reading. These

    include:

    SMIB Parameters

    Three Machine Infinite Bus Parameters

    Excitation System Parameters

    Power System Stabilizer Parameters

    Governor Parameters

    Three Machine Infinite Bus Simulation A Three

    Machine Infinite Bus system was considered to illustrate

    the effectiveness of the proposed technique for a

    multi-machine system. The parameters of the power

    system are given in the full document. Results similar

    to those described in section A above were observed.

    To study the effect of pure local mode oscillations on

    the proposed algorithm, a load increase of 0.15 pu was

    applied at bus 3, and at the same instant, a decrease

    in load by 0.15 pu was applied at bus 1. Results proved

    that the proposed method is reliable under such condi-

    tions as well (P-tcurves and summary tables are listed

    in the full document).

    The results showed that the proposed algorithm is

    not only effective on a SMIB system, but it is equally

    effective on an interconnected power system. The

    application of this technique is straightforward even

    for a large power system and avoids the need for any

    cumbersome network reduction techniques, such as

    center of inertia or center of angle technique [5].

    To account for measurement inaccuracies and the

    possibility of breaker re-closures, the decision times

    could be delayed by a few sampling intervals

    (i.e. 0.00104 s or more), so that inaccurate decisions

    are avoided.

    Conclusion A technique for out-of-step detection by

    modifying the classical equal area criterion condition

    to the time domain was proposed in this paper and

    its effectiveness was tested on an SMIB and a Three

    Machine Infinite Bus system. The proposed algorithm

    perfectly discriminated between stable and out-of-

    step swings based on the local voltage and currentinformation available at the relay location.

    The proposed algorithm identifies stable and out-of-step

    swings solely using the local voltage and current information

    available at the relay location.

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    6 P U L S E T H E M A N I T O B A H V D C R E S E A R C H C E N T R E J O U R N A L

    Some of the newer PSCAD users may not even

    be aware, but there is a strong link between

    the Manitoba HVDC Research Centre and the

    RTDS Simulator. It was fundamental research

    conducted at the Centre that resulted in the

    development of RTDS, the worlds first fully digital

    real time power system simulator. After the initial

    development, it was soon evident that the simulator

    should be promoted as a commercial product and

    a license for the technology was granted to RTDS

    Technologies Inc. The license covers the commerciali-

    zation and further development of the simulator

    and ensures the transfer of technology between

    the two companies.

    RTDS Technologies was formed in 1994 by research-

    ers who participated in the development of the

    simulator and now has approximately 30 employees.

    The company will soon be moving into a new

    20,000 sq.ft. facility in the technology park at the

    University of Manitoba. RTDS Technologies develops

    the simulation component models, the graphical

    user interface RSCAD and the custom hardware

    for the simulator, as well as providing sales and

    support services.

    With over 150 installations in 30 countries around

    the world, the RTDS Simulator has become the

    world standard for real time power system simula-

    tors. Clients include practically all of the worlds

    major manufacturers of power system components,

    electrical utilities, universities and research institutes.

    The wide range of clients has resulted in the simula-

    tor being applied to many different applications.

    The simulators initial application target, logicallysince it was developed at the Centre, was investiga-

    tion of HVDC schemes and closed-loop testing of

    controls. Even before the system was commercialized

    though, other applications, such as protective relay

    testing and high speed simulation studies, were

    already identified.

    In the early days, the available processing power

    somewhat restricted the complexity of the compo-

    nent models and required them to be written

    in assembly language code and in some cases

    demanded machine code optimization. However,

    today a rack can deliver 12,000 MFLOPS with just

    six Giga Processor Cards (GPC). The increase in

    processing power compared to the earlier versions

    has allowed the detail and flexibility of the models

    to be improved. It also allows models to be created

    by the user in C language. However, when ultimate

    efficiency is required, RTDS Technologies write

    and optimize assembly language code.

    A good example of a model which has undergone

    vast improvements over the years is the network

    solution. The first version of the RTDS Simulator

    relied on pre-calculating all possible switching states

    and changing between them during the simulation.

    However, since the number of matrices to be stored

    is 2n, where n is the number of single-phase switches,

    only 10 switches were allowed per subsystem. The

    latest version of the network solution decomposes

    the admittance matrix every timestep and allows

    66 nodes and 56 single-phase switches per subsystem.

    By decomposing the matrix every timestep, the new

    network solution allows the inclusion of continually

    varying conductance elements. Therefore, valve

    groups and other components can be connected to

    the network solution without using any of the 56

    switches available. The ability to include continually

    varying conductance components also improves the

    numerical stability of some models, such as variable

    loads, transformer saturation, etc.

    The line commutated valve groups (HVDC, SVC and

    TCSC) have also undergone very significant changes.

    The first approach was to model these schemes asisolated subsystems and they suffered from the

    effects of the turn-on resolution being restricted

    to the size of the timestep. The new models are no

    longer interfaced, but rather are connected into

    the main network solution by variable conductances

    and include advanced features, such as valve faults.

    Improved firing was also added to the models to

    provide continuous variation of the firing instant

    with a resolution of approximately 1 s.

    RTDS

    Simulator Technology ReviewPaul A. Forsyth, P.Eng. RTDS Technologies Inc.

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    N O V E M B E R 2 0 0 9

    Control system testing has not only been limited to

    HVDC and FACTS schemes. It has also included testing

    of Power System Stabilizers (PSS), Automatic Voltage

    Controllers (AVR), excitation systems, governors, tap

    changer control, etc.

    Great strides have been made in the area of protective

    relay development and application testing. Naturally

    the increase in the number of nodes and switches

    allowed in a subsystem has improved the capability

    and flexibility of the simulator for this application.

    However, many new models and features were also

    added specifically to address the needs of the relay

    engineer. Those include a powerful batch mode

    facility to automate testing and reporting, detailed

    instrument transformer models, fault models with

    secondary arc representation, etc. One of the latest

    developments for protection system testing is the

    GTNET card which allows IEC 61850 GOOSE and

    sampled value messaging between the simulator and

    protection equipment. A new library was recently

    released which includes distance, differential, over-

    current and generator protection elements. Examples

    are also available to guide users on implementing

    their own protective relay models either using

    C code or individual component blocks.

    The increase in processing power mentioned above

    could be applied in two main ways. The brute force

    approach would have been to use the new processing

    power to reduce the simulation timestep. The other

    approach was to increase the size and detail of the

    power systems being represented. Over the years,

    clients have made it clear again and again that

    the focus should be on the latterimplementing

    larger and more detailed systems with less hardware.However, more recently Voltage Source Converter

    (VSC) based schemes using high speed switching

    have posed a conflict to this path.

    A few years ago a novel technique was developed

    for the RTDS Simulator to allow VSC based devices

    to be represented using a timestep in the range

    of 1-3 s while the main power system continues

    to be represented with a timestep in the range 50 s.

    The area of the simulation representing the VSC

    components is referred to as a small timestep VSC

    subnetwork. By using such a small timestep for the

    VSC representation, the relevant dynamics and high

    frequency switching can be properly represented.

    The VSC elements within the subnetwork, including

    the valve topology, are freely configurable.

    Small timestep VSC subnetworks are being used,

    among other things, for wind farm, STATCOM and

    VSC based HVDC control system testing.

    Although the subnetworks were intended to be

    connected to areas of a network represented using

    larger timesteps, there are also a number of cases

    where the entire power system simulation is run using

    several small timestep VSC subnetworks with timesteps

    < 3 s. The different subnetworks each represent areas

    of the network (i.e. subsystems) which are connected

    via traveling wave transmission line or cable models.

    The subnetworks include lines, transformers with

    saturation, machines, filters, etc. so complex networks

    can be built entirely based on this facility.

    On the other end of the spectrum, there are clients

    running large scale network simulations with as many

    as 500 buses, 90 generators, HVDC, FACTS devices,

    etc. The two largest RTDS Simulators are at CSG in

    Guangdong China and KEPRI-KEPCO in South Korea.

    These large scale simulators allow network stability

    to be studied with physical control and protection

    equipment connected to the system and at the same

    time provide the full detail of an electromagnetic

    transient simulation. More and more models for

    protection, control and power system elements are

    continually being developed for the RTDS

    Simulatorto allow the actual operation of the power system to

    be even better represented. New hardware is also

    being developed to allow simulators with as many as

    60 racks to be fully interconnected (i.e. each rack will

    be able to communicate directly with any other rack).

    With the wider variety of clients using the simulator,

    it has also been applied to areas other than power

    transmission systems. An excellent example of that is

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    8 P U L S E T H E M A N I T O B A H V D C R E S E A R C H C E N T R E J O U R N A L

    some of the work done at the Center for Advanced

    Power Systems (CAPS) at Florida State University. CAPS

    has a fourteen rack simulator that is used for more

    traditional power system applications, but is also

    applied to naval systems and power hardware-in-the-

    loop (HIL) simulations. CAPS has combined the RTDS

    Simulator with a 5 MW dynamometer and a 5 MVA

    amplifier for HIL simulations. The dynamometer is

    controlled from the real time simulation and used as

    a load for machines under test. The amplifier, which

    consists of a controlled rectifier and a VSC inverter,

    is capable of operation in all quadrants of the real

    and imaginary power plain. It is part of the electrical

    system interface between the RTDS Simulator and

    the high power electrical system. The voltage fromthe simulation drives the amplifier in the high power

    circuit while the current produced is measured and

    fed back to the simulation. Once it is read into the

    simulator, the current is injected into the digital

    circuit to close the loop. CAPS has conducted ground

    breaking research regarding the stability of these

    HIL simulations and has the most advanced facility

    of its kind in the world with the RTDS Simulator as

    the heart of the system.

    Huge changes have been made to both the simulator

    hardware and software over the last fifteen years

    changes which have been driven by customer feed-

    back and a deep understanding of power system

    simulation. The component models have been refined,

    enhanced and tested over and over again. Several

    new and exciting applications have been developed.

    The simulator has been widely adopted by the power

    engineering world. But most importantly, the focus

    for the RTDS Simulator remains on continuing the

    process of refining the system to better serve the

    power systems and electrical industries.

    Figure 1 Power hardware in the loop testing at FSU-CAPS of a 5 MW superconducting prototype marine propulsion motor.

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    N O V E M B E R 2 0 0 9

    A hybrid gas-electric vehicle uses an energy stor-

    age device in concert with an internal combus-

    tion engine to provide propulsion to the vehicle;

    thereby offering performance and operational

    benefits not possible using only a single source

    of energy [1], [2], [3]. Presented here are the

    results of using PSCAD to develop a bidirectional

    DC/DC converter to control power flow between the

    engine and the DC bus of a series hybrid electric

    vehicle. The converter allows a single permanent

    magnet DC (PMDC) electric machine to be used for

    both engine starting and generating modes as

    shown in Figure 1.

    PSCAD was used to study and refine the power

    electronics and the control system methodology.

    Several operation scenarios were studied using

    parametric studies to aid in the selection of switch-

    ing frequency and DC link capacitor values. A control

    system was developed for which the control parametersare selected and optimized using nonlinear simplex

    optimization. The converter and optimized control

    system have been tested under a simulated scenario to

    verify acceptable functionality and performance for the

    hybrid vehicle architecture in which it will be utilized.

    Design of a Bidirectional Buck-Boost

    DC/DC Converter for a Series Hybrid

    Electric Vehicle Using PSCAD/EMTDCD. R. Northcott, Westward Industries Ltd.

    A. R. Chevrefils, Manitoba HVDC Research CentreS. Filizadeh, University of Manitoba

    In this hybrid architecture the DC/DC converter plays

    an important role in regulating the power flow in the

    system. The battery bank voltage will vary with the

    operating conditions of the vehicle. Since the battery

    is directly connected to the main electrical node in the

    system, it will make up the difference of the current

    coming from the DC/DC converter going into the motor

    drive as follows:

    Although this arrangement saves the cost of a

    converter at the battery terminals, the analysis of the

    DC/DC converter operation becomes more complicated

    and the performance of its control system becomes

    more important. A design process that relies on accu-

    rate simulations of the system and takes advantage

    of design tools, such as simulation based optimization,

    has been employed.

    Design Specifications The DC/DC converter has been

    designed to function within the system detailed in Fig-

    ure 1. The required specifications are given in Table I.

    Figure 1 Architecture of the series hybrid vehicle under study.

    Table 1 DC/DC converter specifications

    ParameterVoltage

    Specification

    Current

    Specification

    Engine starting mode

    Motor-generated

    output0 to 40V 0 to 50A

    DC bus input 60 to 80V 0 to 50A

    Engine generating mode

    Motor-generated

    input60 to 72V 0 to 150A

    DC bus output 60 to 80V 0 to 100A

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    10 P UL SE T H E M A N I T O B A H V D C R E S E A R C H C E N T R E J O U R N A L

    The Bidirectional Buck-Boost Converter

    The bidirectional buck-boost DC/DC converter circuit

    used is shown in Figure 2. The power electronic switch

    S1 is used for boost converting while the switch S2 is

    used for the buck conversion mode, where the two

    modes control the power flowing in reverse directions.

    In this design, the buck converter mode is used for

    engine starting while the boost converter mode is

    used to control the electric current from the generator

    into the batteries and the motor drive. To reduce the

    number of components, the PMDC machines induct-

    ance is used as the filter inductance L, in Figure 2.

    Converter Design and Simulation A simulation

    case is developed using the PSCAD/EMTDC transient

    simulator, which is capable of capturing transient

    effects of the converter switching, as well as macro-

    scopic effects from the vehicle drive train. Simula-

    tions are run using a set of worst case conditions for

    the boost mode of operation to select the switching

    frequency and the DC-link capacitor sizing, after which

    the more straight forward buck mode of operation

    is confirmed using the values selected for switchingfrequency and DC-link filter capacitor. For details

    please refer to [5].

    To ensure expected operation of the vehicle, it is

    important to accurately and responsively control the

    power flowing from the engine through to the DC bus.

    Thus, a closed-loop controller design is undertaken to

    control the boost-mode operation of the converter, the

    parameters of which are tuned using the integrated

    non-linear simplex optimization methods of PSCAD.

    Boost Mode Control System Development

    The boost converter mode controls the power flow

    from the engine to the main DC bus by varying its

    duty cycle. The selected control topology is actually a

    minimum selection of three individual control methods

    as shown in Figure 3. Under normal conditions, power

    flow control mode will be active. To protect the power

    electronic switches and prevent over-currents, an over-

    current limit is enforced using a current control loop.

    As shown in Figure 1, the batteries are directly

    connected to the DC bus. In order to protect the

    batteries and other components on the bus, voltage

    control is put in place as the final of the three control-

    loops. The minimum block will automatically activate

    the controller with the lowest output, thereby respect-

    ing the upper limits of voltage, current and the existing

    power set point.

    Figure 2 The bidirectional buck-boost converter.

    Figure 3 Boost converter control system block diagram.

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    N O V E M B E R 2 0 0 9 1

    It should be noted that the selected boost converter

    topology exhibits a nonlinear voltage response. The

    formula relating the voltage boost factor to the duty

    cycle [4] is given as:

    This can be linearized by first passing the PI output

    through the following characteristic before sendingit on to the gate driver:

    Where DNL is the non-linearized duty cycle from the PI

    controller and DL is the duty cycle which will linearize

    the response of the converter for the PI controllers

    efforts. This is done to allow for simpler tuning of

    the PI controller and allows for improved controller

    performance.

    Controller Implementation and Tuning Each of

    the three control loops are connected and optimized

    individually before being tested together as a complete

    system. Initial PI control parameters are chosen

    intuitively using a trial and error process until the

    system begins to converge after a step-change in the

    set point. The PSCAD test circuit is shown in Figure

    4 and the optimization test cycle is shown in Table 2.

    The test strategy is two different transients: (i) a step

    change in the voltage followed by (ii) a step change

    in the current.

    The performance of the controller using initial param-eters is shown in Figure 5. The initial overshoot can be

    ignored as it is mainly a consequence of the initializa-

    tion of the simulation, a normal start-up would gently

    ramp the set point from the existing DC bus conditions.

    The objective function for the optimization will scale

    and accumulate control loop error from 10ms to

    50ms. Through multiple trials, the optimization will

    successively and automatically (i.e. without designerintervention) improve the performance by adjusting

    the Proportional Gain (P) and Integral Time (I) variables

    until a chosen tolerance has been reached [6]. The

    Simplex Optimum Run control block is configured

    as shown in Figure 6.

    Figure 4 Buck-boost DC/DC converter optimization circuit.

    Table 2 Voltage controller optimization test cycle.

    Figure 5 Voltage control results with initial parameters.

    The optimization will successively and automatically

    (i.e. without designer intervention) improve the

    performance by adjusting the Proportional Gain (P)

    and Integral Time (I) variables.

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05

    Time (s)

    )V(egatloV

    VoutSetpoint Vout

    Time (ms) Voltage set point (V) Load current (A)

    0 75 0

    25 65 0

    35 65 65

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    1 2 P U LS E T H E M A N I T O B A H V D C R E S E A R C H C E N T R E J O U R N A L

    The objective function for this optimization is simplythe square of the controller error. Squaring the error

    is done to make all errors positive for the accumulator

    and can also be shown to speed the convergence of

    the optimization.

    As seen in Figure 7, the optimization converges toward

    a better set of parameters for the system. Figure 8

    shows the new tuning parameters in action. It is up

    to the designer to decide if this result is acceptable,

    or if modification should be undertake to the control

    scheme or objective function to achieve better results.

    This same optimization procedure is run for the current

    and power controllers, each time producing a betterset of parameters than the initially determined values.

    Full System Evaluation A full control system test

    schedule is developed and shown in Table 3. It includes

    the desired maximum voltage and current set points,

    as well as varying the power set point.

    As shown in Figure 9, the system initially operates in

    power control mode, then enters current control mode

    when the power set point is increased towards 8 kW.

    Under this condition, 8 kW is not achievable without

    violating the current limit. At approximately 0.35s,

    the system enters voltage control mode when a large

    current is injected into the battery from an external

    source, to simulate a heavy regenerative braking

    condition. The duty cycle is cut back dramatically to

    keep the voltage at the 90V maximum.

    Figure 7 Optimization progress for voltage controller.

    Figure 8 Optimized voltage controller performance

    Table 3 Control system test schedule.

    Figure 6 Simplex Optimum run configuration.

    0

    20

    40

    60

    80

    100

    120

    0 10 20 30 40 50 60

    Trial #

    seulaVevitcejbO

    -0.05

    0

    0.05

    0.1

    0.15

    0.2

    0.25

    0.3

    0.35

    0.4

    seulaVI,P

    Objective P I

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05

    Time (s)

    )V(egatloV

    VoutSetpoint Vout

    TimeLoad

    Current

    Pout

    set point

    Iout

    set point

    Vout

    set point

    0 ms 40 A 5 kW 100 A 90 V

    200 ms 40 A 8 kW 100 A 90 V

    300 ms -100 A 8 kW 100 A 90 V

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    N O V E M B E R 2 0 0 9 1

    As can be seen from the data, controller overshoot

    on the order of 10% for a short time can be expected

    from this control scheme. This is because the PI con-

    trollers do not have integrator ramp-up limiting, and

    as a result there exists an adjustment period between

    mode transitions. This can either be made acceptable

    by ensuring a safety margin in the set point, or through

    some additional modification and tuning of the controlscheme. A possible solution could involve back-calculat-

    ing and setting the integrator PI controller upon transi-

    tion between control modes.

    Conclusion The results of the design and develop-

    ment of a bidirectional DC/DC converter as a module

    for a series hybrid vehicle were presented. PSCAD/

    EMTDC was used to study several transient and

    steady-state operation characteristics during the design

    process. The effects of switching frequency and duty

    cycle were studied, as well as different values of DC

    link capacitor values were evaluated and several design

    decisions were made on this information. Finally, a

    closed loop control system was formulated and the

    parameters were optimized to improve some system

    performance metrics. The converter and control

    system were simulated using a simple battery model

    and current source to test the functionality of the

    developed control scheme.

    References

    [1] M. Ehsani, Y. Gao, S. E. Gay, and A. Emadi, Modern Electric, Hybrid

    Electric, and Fuel Cell Vehicles, Fundamentals, Theory, and Design,

    New York: CRC Press, 2005.

    [2] J. M. Miller, Propulsion Systems for Hybrid Vehicles, UK: IEE, 2004.

    [3] Emadi, K. Rajashekara, S. S. Williamson, and S. M. Lukic,

    Topological Overview of Hybrid Electric and Fuel Cell Vehicular

    Power System Architectures and Configurations, IEEE Transactions

    on Vehicular Technology, vol. 54, no. 3, pp. 763-770, May 2005.

    [4] M. H. Rashid, Power Electronics, Circuits, Devices, and

    Applications, 3rd ed. Upper Saddle River, NJ: Pearson Education, 2003.[5] D.N. Northcott, S. Filizadeh, A.R. Chevrefils,

    Design of a Bidirectional Buck-Boost DC/DC Converter for a Series

    Hybrid Electric Vehicle Using PSCAD/EMTDC, IEEE Conf. Proc.

    Vehicle Power and Propulsion Conference, 2009, VPPC 2009

    [6] M. Gole, S. Filizadeh, P. L. Wilson, R. W. Menzies,

    Optimization-Enabled Electromagnetic Transient Simulation,

    IEEE Tran. Power Delivery, vol. 20, no. 1, pp. 512-518, January 2005.

    Figure 9 Results of full system test simulation.

    0

    20

    40

    60

    80

    100

    120

    0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45

    Time (s)

    )A(tnerruC,)V(egatloV

    0

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    )Wk(rewoP

    Iout Vout Pout

    Current ModePower Mode Voltage Mode

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    J U N E 2 0 0 81 4 P U LS E T H E M A N I T O B A H V D C R E S E A R C H C E N T R E J O U R N A L1 4 P U LS E T H E M A N I T O B A H V D C R E S E A R C H C E N T R E J O U R N A L

    The Manitoba HVDC Research Centre is commit-

    ted to providing effective training programs to

    satisfy clients specific needs. From beginners

    to experts, we have programs that will assist

    all clients in obtaining their learning objectives.

    The Centre offers a wide variety of PSCAD and

    general power systems training courses to cover an

    extensive range of learning needs. Some of our

    standard courses include:

    Introduction to PSCAD and Applications

    HVDC Theory and Controls

    AC Switching Study & Insulation Coordination Studies

    Power Quality

    Wind Power Modeling and Simulation

    Modeling and Applications of FACTS Devices

    Advanced Topics in PSCAD Simulation Training

    o Machine Modeling including SSR Investigation

    o Developing Custom Models for PSCAD

    As an added benefit to these standard courses, our

    instructors will discuss with the participants their

    specific areas of interest and whenever possible,

    tailor the course examples to be of most relevance.

    This helps to ensure that individual learning objectives

    will be met.

    Some of these courses are designed to be a hands-

    on learning environment where each participant is

    provided with a temporary PSCAD license. This allows

    individuals to experiment with the power system

    phenomena being discussed and view the results.

    Experimentation aids in learning the fundamentals

    of a new topic.

    We strive to keep classroom sizes small, providing

    ample opportunity for questions and discussions.

    Instructors are able to facilitate these extra discussions,

    provide additional information, and elaborate on

    study topics. Class members are also welcome to

    share their experience and knowledge with the

    group. The opportunities to hear others experiences

    and network with them throughout the course is

    valuable for all participants.

    On-Site Training The Centre offers on-site training

    sessions to its clients. There are a variety of reasons why

    clients may choose to have an instructor travel to their

    location. On-site training provides:

    Custom courses arranged to meet your schedule.

    Travel logistics: It is sometimes more convenient for

    a company to have our instructor travel to their

    location rather than sending a group to our location.

    Large number of participants: In cases where a large

    number of individuals are interested in receiving

    training, it may be more feasible to have our

    instructor travel to a clients location.

    Necessity for a larger scope of study topics: On-site

    training, dedicated to a group with similar learning

    needs, can have a custom-made agenda. Our course

    outlines can be modified to suit the specific

    application needs of the group.

    Company dedicated training: Clients who arrange

    for our custom, on-site courses have the opportunity

    to learn along side their fellow colleagues in an

    environment that is familiar to them. Clients also

    have the option of inviting individuals from outside

    their organization to join their session.

    In general, when people hear the word custom,

    they think in terms of expensive and premium. This is

    simply not the feedback we receive from our training

    clients. Often the most effective and productive use of

    time and money is receiving the training that meets

    your needs content, schedule and location.

    Dedicated course material can be provided through

    our custom training programs, which can be delivered

    to groups or individuals. Dedicated training for an

    individual can be an effective way to have your specificquestions addressed in a timely fashion. These courses

    range from one day to several weeks in duration, and

    can be based on one or more of our standard courses

    or be entirely customized to meet the clients needs.

    Knowledge is KeyT. Stokotelny, Manitoba HVDC Research Centre

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    PUBLICATION AGREEMENT # 41197

    RETURN UNDELIVERABLE CANADIAN ADDRESSES

    MANITOBA HVDC RESEARCH CENTRE I

    244 CREE CRESCE

    WINNIPEG MB R3J 3W1 CANA

    T +1 204 989 1240 F +1 204 989 1

    [email protected]

    N O V E M B E R 2 0 0 9 1

    Instructors Our skilled team of instructors are

    not only proficient in PSCAD, they bring years of

    experience in the power systems industry to the

    classroom. In order to compliment our instruction

    team, we often partner with internationally renowned

    professionals from the University of Manitoba and

    local industry. This combination of experience and

    knowledge creates a highly productive and enjoyable

    learning environment.

    Schedule Courses are regularly offered at ouroffice in Winnipeg, Canada, and also are periodically

    scheduled for various locations around the globe.

    More Information Upcoming courses are always

    listed on the back cover of our Pulse Newsletter.

    Also be sure to regularly check the Training page

    on our website at https://pscad.com/services/training/

    for the most up-to-date training schedule.

    For further information on our training programs,

    please contact [email protected] .

    Did you know that the ManitobaHVDC Research Centre provided

    training courses and seminars to

    611 people in 12 countries in 2008?

  • 8/8/2019 Pulse Nov2009

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    Expanding KnowledgeThe following courses are available, as well

    as custom training courses please contact

    [email protected] for more information.

    Introduction to PSCAD and Applications

    Includes discussion of AC transients, fault and

    protection, transformer saturation, wind energy,

    FACTS, distributed generation, and power quality

    with practical examples. Duration: 3 Days

    Advanced Topics in

    PSCAD Simulation Training

    Includes custom component design, analysis of

    specific simulation models, HVDC/FACTS, distributed

    generation, machines, power quality, etc.

    Duration: 24 Days

    HVDC Theory & Controls

    Fundamentals of HVDC Technology and

    applications including controls, modeling

    and advanced topics. Duration: 45 Days

    AC Switching Study Applications in PSCAD

    Fundamentals of switching transients,modeling issues of power system equipment,

    stray capacitances/inductances, surge arrester

    energy requirements, batch mode processing

    and relevant standards, direct conversion of

    PSS/E files to PSCAD. Duration: 23 Days

    Distributed Generation & Power Quality

    Includes wind energy system modeling, integration

    to the grid, power quality issues, and other DG

    methods such as solar PV, small diesel plants,

    fuel cells. Duration: 3 Days

    Wind Power Modeling and

    Simulation using PSCAD

    Includes wind models, aero-dynamic models,

    machines, soft starting and doubly fed connections,

    crowbar protection, low voltage ride through

    capability. Duration: 3 Days

    Industrial Systems Simulation & Modeling

    Includes motor starting, power quality, capacitor

    bank switching, harmonics, power electronic

    converters, arc furnace, protection issues.

    Duration: 12 Days

    Lightning Coordination & Fast Front Studies

    Substation modeling for a fast front study,

    representing station equipment, stray capacitances,

    relevant standards, transmission tower model for

    flash-over studies, surge arrester representation

    and data. Duration: 2 Days

    Modeling and Application of FACTS Devices

    Fundamentals of solid-state FACTS systems.

    System modeling, control system modeling,

    converter modeling, and system impact studies.Duration: 23 Days

    Connect with Us!November 2225, 2009

    SNPTEE Conference

    www.xxsnptee.com.br

    Recife, Brazil

    January 2024, 2010

    Elecrama 2010

    www.elecrama.com

    New Dehli, India

    More events are planned! Please see

    www.pscad.com for more information.

    PSCAD Training Sessions

    We regularly schedule training courses at the

    Manitoba HVDC Research Centre, Winnipeg,

    Manitoba, Canada, so please see www.pscad.com

    for more information about course availability.

    Please visit Nayak Corporation's websitewww.nayakcorp.com for courses in the USA.

    For more information on dates,[email protected] today!

    If you have interesting experiences and would

    like to share with the PSCAD community in

    future issues of the Pulse, please send in your

    article to [email protected]