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    IEEE TRANSACTIONS ON POWER ELECTRONICS, VOL. 14, NO. 2, MARCH 1999 381

    An Instantaneous Reactive Volt–AmpereCompensator and Harmonic Suppressor System

    Kishore Chatterjee, B. G. Fernandes, and Gopal K. Dubey,   Senior Member, IEEE 

     Abstract—A novel control method for a reactive volt–amperecompensator and harmonic suppressor system is proposed. Itoperates without sensing the reactive volt–ampere demand andnonlinearities present in the load. The compensation process isinstantaneous, which is achieved without employing any compli-cated and involved control logic. The compensator is operated incycle-by-cycle reference-current-controlled mode to achieve theinstantaneous compensating feature. A mathematical model of the scheme is developed. Detailed analysis and simulation resultsare presented. A laboratory prototype of the compensator isdeveloped to validate the results.

     Index Terms—Active power filter, instantaneous compensation,

    load compensation, power factor correction, SCSVC, SVC.

    I. INTRODUCTION

    OVER THE YEARS, there has been a continuous prolifer-

    ation of nonlinear type of loads due to the intensive use

    of power electronic control in all branches of industry as well

    as by the general consumers of electric energy. As a result, the

    utility supplying these loads has to provide large reactive volt

    amperes. Also, it gets polluted by the harmonics generated

    by the load. The punitive tariffs levied by utilities against

    excessive vars and the threat of stricter harmonic standards

    have led to extensive research in the field of load compen-sation. The basic requirements of the compensation process

    involve precise and continuous reactive volt–ampere control

    with fast response time, reduced inrush currents, avoidance

    of resonances created by peripheral low-frequency current

    sources, and the on-line elimination of the effect of the load

    harmonics. To satisfy the above criteria, the traditional meth-

    ods of compensation consisting of switched capacitor or fixed

    capacitor and phase-controlled reactor coupled with passive

    filters have been increasingly replaced by new approaches

    utilizing the concept of synchronous link converters [1]. This

    new class of compensators, which has generated tremendous

    interest among the researchers, is known by several terminolo-

    gies such as var generators [2], advanced static var generators[3], synchronous solid-state var compensators [4], pulsewidth

    modulation (PWM) inverter var compensators [5], etc. The

    Manuscript received November 7, 1996; revised August 25, 1997. Recom-mended by Associate Editor, P. Enjeti.

    K. Chatterjee and B. G. Fernandes are with the Department of ElectricalEngineering, Indian Institute of Technology, Bombay, India.

    G. K. Dubey is with the Department of Electrical Engineering, IndianInstitute of Technology, Kanpur 208016, India (e-mail: [email protected]).

    Publisher Item Identifier S 0885-8993(99)01839-6.

    authors here will call this class of var compensators as self-

    commutated static var compensators (SCSVC). When SCSVC

    is utilized for harmonic compensation, it is known as an active

    power filter [6]–[10] or power line conditioner [21]. Several

    topologies of SCSVC and active power filters are reported in

    the literature, but most of them have noninstantaneous transient

    response [3]–[14]. The schemes based on indirect current

    control technique have a poor transient response [4], [5], [13].

    Schemes utilizing current control principle either use: 1) a

    reactive volt–ampere calculator to set the compensator current

    reference or 2) error between the dc-link voltage referenceand the sensed dc-link capacitor voltage to set the amplitude

    of the source current reference. In type 1), the presence of 

    the reactive volt–ampere calculator generates a delay in the

    compensation process. In type 2), a low-pass filter is required

    to eliminate ripple from the sensed dc-link voltage. Inclusion

    of this filter introduces finite delay in the control structure.

    This coupled with the inertia presented by the dc-link capacitor

    while absorbing or releasing energy introduces a cumulative

    delay of at least two–three cycles in the dc-link capacitor

    voltage response. As a result, the amplitude of the source

    current reference has a low-frequency distortion and a dc

    component as long as the transient persists. Hence, the current

    drawn from the source during transients is not in phase with theutility voltage and not free from low-order harmonics. Other

    schemes having instantaneous compensation feature employ

    complicated and an involved control strategy [15], [16]. But

    these schemes can only be applied for three-phase case.

    The present paper proposes a new technique of compensa-

    tion of var and load harmonics for low- and medium-power

    applications using an insulated gate bipolar transistor (IGBT)

    as the switching device. The novel features of the present

    technique are as follows.

    1) The compensation process is instantaneous.

    2) The control logic and the associated hardware are sim-

    ple, thereby enhancing the system reliability.

    3) The compensation is achieved without sensing either the

    load reactive volt–ampere demand or the load harmon-

    ics.

    4) Unlike [15] and [16], it can be used for the case

    as well.

    The scheme is developed both for single- and three-phase

    systems, and the performance is found to be satisfactory. A

    mathematical model of the proposed compensation process

    is developed and analyzed. A detailed simulation program

    of the scheme is developed to predict its performance for

    0885–8993/99$10.00     1999 IEEE

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    382 IEEE TRANSACTIONS ON POWER ELECTRONICS, VOL. 14, NO. 2, MARCH 1999

    (a)

    (b)

    Fig. 1. (a)   0     and (b)   0     compensator.

    different operating conditions. To demonstrate the viability

    of the scheme, a laboratory prototype is developed, and

    experimental results are presented.

    II. OPERATING   PRINCIPLE

    The power circuit configurations for the single- and three-

    phase compensators are shown in Fig. 1. It is operated in

    a controlled current boost-type converter mode. The current

    drawn from the utility is made to follow a sinusoidal

    reference current within a fixed hysteresis band. The

    width of the hysteresis window determines source current

    profile, its harmonic spectrum, and switching frequency of the devices. The dc-link capacitor voltage is kept constant

    throughout the operating range of the compensator. In the

    case of single phase, turning on and will increase

    , whereas turning on and will decrease it [17]. For

    the three-phase case, three current references inphase with

    the respective phase to neutral voltages are taken, and each

    phase of the compensator is controlled independently [18]. To

    increase the current of a particular phase, the lower switch of 

    the compensator associated with that particular phase, i.e.,

    or is turned on while to decrease the current the upper

    switch, i.e., or of the respective compensator phase

    is turned on.

     A. Estimation of the Reference Current 

    The technique to determine the reference current is ex-

    plained for the single-phase compensator. The same approach

    is applicable for the three-phase case.

    Let the utility voltage be given by

    (1)

    Consider a linear load drawing a current , which lags the

    utility voltage by an angle . Therefore

    (2)

    or

    (3)

    where

    amplitude of the inphase component

    of the load current;

    amplitude of the quadrature compo-

    nent of the load current.From Fig. 1, , therefore

    (4)

    where is the amplitude of the current reference. Now, in

    (4), if is made equal to , is obtained as

    (5)

    From the above development, it can be inferred that if the

    source current is made to follow a current reference which is

    equal to the inphase component of load current and inphase

    with the utility voltage, the compensator current is equal and

    opposite to that of the quadrature component of the loadcurrent. As in the present scheme, the reactive volt–ampere

    requirement of the load is not sensed, the magnitude of the

    inphase component of the load current is to be determined

    indirectly. Since the average power consumed by the compen-

    sator is zero, the average dc-link capacitor voltage remains

    constant. However, there will be losses taking place in the

    compensator which will be replenished at the expense of the

    stored energy of the capacitor. This results in reduction of the

    capacitor voltage. To maintain the capacitor voltage, the losses

    of the compensator has to be supplied from the utility. This

    is achieved by choosing a proper value of . Moreover, if 

    the load reactive volt–ampere increases, the compensator loss

    increases and the capacitor voltage drops further. A similar

    situation arises if there is an increase in the real component of 

    the load current. When there is a decrease in the reactive and/or

    real component of the load current, the capacitor voltage rises.

    Thus, by monitoring the average capacitor voltage a suitable

    value of can be chosen.

    As the source current is made to follow the sinusoidal

    reference current within a small hysteresis band, the im-

    provement in the harmonic spectrum of is significant. This

    improvement is again achieved without sensing or estimating

    the load harmonics. The higher order harmonics 49 , which

    are present in the source current, will get eliminated by the

    short circuit impedance of the utility.

    III. CONTROL   STRATEGY

    It is well known that in the case of synchronous

    link converters, the dc-link capacitor voltage is superimposed

    with second harmonic ripple [1]. In the case, although

    the magnitude of sixth harmonic dc-link voltage ripple is

    insignificant while compensating linear loads, it increases

    while compensating nonlinear loads. If the dc-link voltage

    is sensed and compared with the reference dc voltage to

    control the amplitude of the reference current, then source

    current will also have second or sixth harmonic distortion. To

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    CHATTERJEE   et al.: VOLT–AMPERE COMPENSATOR AND HARMONIC SUPPRESSOR SYSTEM 383

    Fig. 2. DC-link voltage profile for   0     and   0     topology.

    Fig. 3. Control block diagram of the   0     topology.

    overcome this difficulty, the dc-link voltage is sensed and the

    harmonics present in it are filtered out. The inclusion of the

    filter introduces a delay in the compensation process and thetransient response becomes poor. Here, a novel control strategy

    is proposed to make the compensation process instantaneous.

    Fig. 2 shows the steady-state voltage profile of the dc-link 

    capacitor along with the source voltage waveform for both

    single- and three-phase topologies. It can be noted from the

    figure that the magnitude of the capacitor voltage remains

    constant at all zero-crossing instants of the source voltage.

    Instead of continuous monitoring, if the dc-link voltage is

    sampled only at these instants, distortion in can be avoided

    without employing the filter.

    The basic control block diagram of the proposed scheme

    for single-phase case is shown in Fig. 3. Latch-1 and Latch-2

    are made transparent only at the positive going zero crossingsof the source voltage. This ensures that the error infor-

    mation which is to be passed to the proportional–integral

    (PI) controller and the processed error to be passed to the

    reference current generator block is made available only at

    the positive going zero-crossing instants. This implies that the

    reference current level set at the beginning of a cycle

    is maintained constant throughout the cycle. The reference

    current generator based on the information of produces

    the required reference current which is inphase with the

    utility voltage. The comparator compares with and based

    on this error information switching pattern of the compensator

    Fig. 4. Control block diagram of the current reference generator.

    is decided so that is made to follow within a hysteresis

    band.

    Since the amplitude of is maintained constant throughout

    a sampled cycle of the utility voltage, the source current is

    maintained distortion free and inphase with the utility voltage

    both during steady state and transient operation. Hence, the

    compensation process is instantaneous. The dc-link capacitor

    is specially designed for this purpose so that the dc-link 

    voltage does not fall below the source current controllability

    limit. However, as the source current is forced to follow the

    reference within a hysteresis band some finite delay is still

    expected. The authors have found through extensive simulation

    studies that even in the worst case of transients this delaycomes out to be less than 50 s, i.e., less than 1 of the

    power cycle, which is insignificant for all practical purpose.The fact that this insignificant delay does not affect the

    instantaneous compensating feature is corroborated in [15],

    where the compensator current is made to track the synthesized

    reference current by bang–bang control.

    For the three-phase case, the positive zero-going instant of 

    any one of the phases is taken as the sampling instant. The

    current reference generator produces three current references

    and which are inphase with the respective

    phase to neutral voltages and having an equal amplitude .

    The other features of the controller are same as that of the

    single-phase topology.

     A. Current Reference Generator 

    The internal block diagram of the current reference gener-

    ator is shown in Fig. 4. A 1024 8-b EPROM is used to

    store the sinusoidal current reference. It is being addressed by

    a 10-b counter. The counter counts the VCO pulse output of 

    the PLL, the frequency of which is set to 1024 times the utility

    frequency. The output of the EPROM which is the digitized

    version of the sine wave is fed to the DAC for converting it

    to the analog sine wave. The amplitude of the sine wave is set

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    384 IEEE TRANSACTIONS ON POWER ELECTRONICS, VOL. 14, NO. 2, MARCH 1999

    Fig. 5. Single line diagram of the compensator connected to the utility.

    by the AI input of the DAC which is connected to the output

    latch of the PI controller of Fig. 3.

    As the reference is synthesized from a previously pro-

    grammed EPROM and not directly derived from the utility, the

    presence of any distortion in the utility voltage or occasional

    dips in it will not have any effect on the reference and, hence,

    on the source current wave shape.

    For three-phase cases, three such units are used. The AI

    inputs of the three units are together connected to the output

    latch of the PI controller. Outputs of the three DAC’s provide

    the reference currents for the three phases.

    IV. MATHEMATICAL   MODEL

    The rate at which the dc-link capacitor voltage responds

    to the changes in the reference source current is analyzed

    here. Although the dynamic response of the dc-link voltage

    has no effect on the instantaneous compensating feature of 

    the scheme, a mathematical model is required for stability

    analysis and, hence, for determining the parameters of the PI

    controller. The principle of average power balance is used to

    determine the approximate model of the compensator. This is

    valid since the magnitude of the current reference does notchange within a cycle of the utility voltage. The mathematical

    model is derived based on the following assumptions.

    1) The utility voltages are balanced and contain no har-

    monics.

    2) Only the fundamental components of currents are con-

    sidered as the harmonic components do not affect the

    average power balance expressions.

    3) All losses of the system are lumped and represented by

    an equivalent resistance connected in series with the

    line inductor .

    4) Ripple in the dc-link capacitor voltage is neglected.

    From Fig. 5

    (6)

    (7)

    The load current is assumed to be lagging the utility voltage

    by an angle . The rms load current can be written as

    (8)

    where

    rms inphase component of the load current;

    rms quadrature component of the load current.

    Similarly, rms compensator current is written as

    (9)

    where

    rms inphase component of the compensator current;

    rms quadrature component of the compensator cur-

    rent.

    The rms source current is then

    But , therefore

    (10)

    Power input to the compensator is given by

    (11)

    where

    for single-phase topology and

    for three-phase topology.

    Power loss in the resistance is given by

    (12)

    Average rate of change of energy associated with the inductor

    Since is constant for a particular operating point

    (13)

    Average rate at which energy is being absorbed by the capac-

    itor

    (14)

    where is the instantaneous dc-link voltage. Equating

    average rate of change of energy associated with ac link and

    dc link, the relation between and is obtained for a

    particular operating point, which is given by

    (15)

    If a small perturbation is applied in the inphase com-

    ponent of the compensator current, about a steady-state

    operating point , the average dc-link voltage will also

    get perturbed by a small amount about its steady-state

    operating point . Putting

    and

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    CHATTERJEE   et al.: VOLT–AMPERE COMPENSATOR AND HARMONIC SUPPRESSOR SYSTEM 385

    Fig. 6. Transfer function model of the open-loop plant.

    in (15), the small-signal perturbed equation neglecting the

    higher order differential terms is obtained as

    (16)

    The steady-state equation from (15) is

    (17)

    Subtracting (17) from (16), the linear relationship between

    and is obtained as

    (18)

    The transfer function model of the compensator for a

    particular operating point is obtained from (18) as

    (19)

    where

    The block diagram of the proposed open-loop compensator is

    shown in Fig. 6. The sampled data model of the compensator

    is obtained as

    (20)

    A realistic system is chosen to simulate the performance

    characteristics of the proposed compensating scheme. The

    system specifications are as follows:

    230 V;

    20 A (rated max);

    20 A (rated max);

    500 V;

    2000 F;

    0.5 ;

    0.25 A (the chosen operating point).

    Fig. 7. Comparison of output response of the mathematical model to that of the actual model for single-phase topology.

    Fig. 8. Comparison of output response of the mathematical model to that of the actual model for three-phase topology.

    For this case, and are obtained as

    For a unit step input of , the response of  

    derived from the mathematical model and that obtained by

    simulating the actual system for single- and three-phase cases

    are shown in Figs. 7 and 8, respectively. The closeness of the

    two responses shows that the mathematical model developed

    is in close agreement with that of the actual system.

    The closed-loop configuration of the scheme is shown in

    Fig. 9. The PI controller is designed to obtain acceptable gain

    margin of 5 dB and phase margin of 45 , respectively. The

    parameters of the PI controller and are found to be

    0.37 and 6.0, respectively, for single-phase topology and 0.14

    and 4.5, respectively, for three-phase topology. The open-

    loop frequency response curves of the single- and three-phasecompensators along with the above mentioned PI controllers

    are shown in Figs. 10 and 11, respectively.

    V. DESIGN OF   DC-LINK   CAPACITOR

    The value of the dc-link capacitor is chosen to restrict the

    ripple of the dc-link voltage within a permissible limit. The

    ripple is proportional to the magnitude of reactive volt ampere

    to be compensated. Therefore, the capacitor value is decided

    by the maximum var to be handled. In the present scheme, as

    the link voltage is controlled in a discrete mode, the capacitor

    may have to supply the real power demand of the load for

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    386 IEEE TRANSACTIONS ON POWER ELECTRONICS, VOL. 14, NO. 2, MARCH 1999

    Fig. 9. Transfer function model of the compensated closed-loop plant.

    (a)

    (b)

    Fig. 10. Open-loop frequency response of the single-phase compensator witha PI controller in the feedforward path. (a) Gain versus frequency plot and(b) phase versus frequency plot.

    one cycle of the utility voltage in the worst case of transient.Hence, the capacitor design is based on the maximum real

    power rating of the load. The design equation based on this

    principle is derived as follows.

    Let the peak power rating of the load be W and the

    rms utility voltage be V. Therefore, the maximum energy

    that the capacitor has to supply in the worst case of transient

    is given by

    (21)

    Let the minimum allowable dc-link voltage be . There-

    fore

    (22)

    where is the set dc-link voltage and , the value of the

    dc-link capacitor. Equating (21) and (22), is obtained as

    (23)

    where

    (24)

    The value of is judiciously chosen so that the source current

    controllability is ascertained at all operating points.

    (a)

    (b)

    Fig. 11. Open-loop frequency response of the three-phase compensator witha PI controller in the feedforward path. (a) Gain versus frequency plot and(b) phase versus frequency plot.

    VI. SIMULATED   RESULTS

    Simulation studies are carried out to predict the performance

    of the proposed SCSVC. A dedicated computer program

    is employed for the purpose and simulated waveforms are

    presented next for the cases of linear and nonlinear load

    compensation. In all the cases studied, the width of the

    hysteresis window is maintained at 0.5 A and the upper limit

    of the average switch frequency is found to be 5 KHz.

     A. Simulated Waveforms for Linear Load Compensation

    1) Single-Phase Topology:   In order to validate the transient

    as well as the steady-state behavior, a KVAload is initially connected. At 61 ms, i.e., just after the com-

    mencement of the fourth cycle, the load is abruptly changed

    to KVA. The waveforms of the source current,

    load current, dc-link voltage along with the utility voltage are

    shown in Fig. 12. The source current is near sinusoidal and is

    inphase with the utility voltage. The displacement factor and

    power factor of the source current are found to be 0.999 985

    and 0.999 907, respectively. The harmonic spectrum of the

    fifth cycle of the source current is shown in Fig. 13. Although

    the dc-link voltage transients take some time to settle down

    after the disturbance, the source power factor is maintained

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    CHATTERJEE   et al.: VOLT–AMPERE COMPENSATOR AND HARMONIC SUPPRESSOR SYSTEM 387

    (a)

    (b)

    (c)

    Fig. 12. Simulation waveforms of the single-phase topology for an incrementin the real component of the load current. (a) DC-link voltage, (b) sourcevoltage and source current, and (c) load current.

    Fig. 13. Harmonic spectrum of the fifth cycle of the source current of Fig. 12.

    unity throughout this entire period. This implies that the

    compensation process is instantaneous

    Similar waveforms for change of load from

    KVA to KVA are shown in Fig. 14.

    Displacement factor and power factor of the source current

    are found to be 0.999 97 and 0.999 192, respectively.

    2) Three-Phase Topology:   Similar tests are carried out with

    the three-phase compensator. At 61 ms, i.e., just after the

    (a)

    (b)

    (c)

    Fig. 14. Simulation waveforms of the single-phase topology for an incrementin the reactive component of the load current. (a) DC-link voltage, (b) sourcevoltage and source current, and (c) load current.

    beginning of the fourth cycle of the phase-A source voltage,

    a KVA load is abruptly changed to

    KVA. The waveforms of the utility voltages, source

    and load currents of the three phases and the dc-link capacitor

    voltage are shown in Fig. 15. The source currents are near

    sinusoidal and inphase with the respective phase voltages. The

    transient period in the dc-link voltage has no effect on the

    phase relationship between the source currents and the utility

    voltages; they are always maintained inphase with each other

    even during the transients. Similar waveforms for a change of 

    load from KVA to KVA are

    shown in Fig. 16.

     B. Simulated Waveforms for Nonlinear Load Compensation

    The nonlinear load is simulated by a phase-controlled thyris-

    torized converter operating at a phase delay of 45 and

    supplying 10 A of dc current. The waveforms of the com-

    pensation process for single-phase case is shown in Fig. 17.

    Although the load current is quasi-square wave having a

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    388 IEEE TRANSACTIONS ON POWER ELECTRONICS, VOL. 14, NO. 2, MARCH 1999

    (a)

    (b)

    (c)

    (d)

    (e)

    Fig. 15. Simulation waveforms of the three-phase topology for an incrementin the real component of the load current. (a) DC-link voltage, (b) phase-Asource voltage and source current, (c) phase-A load current, (d) phase-B sourcevoltage and source current, and (e) phase-B load current.

    displacement factor of 0.586 60 and power factor of 0.544 52,

    the source current is found to be near sinusoidal. The harmonic

    spectrum of the load current is shown in Fig. 18 and that of 

    (a)

    (b)

    (c)

    Fig. 16. Simulation waveforms of the three-phase topology for an incrementin the reactive component of the load current. (a) DC-link voltage, (b) phase-Asource voltage and source current, (c) phase-A load current.

    the source current is shown in Fig. 19. The displacement factor

    and power factor of the source current is found to be 0.999 98

    and 0.999 84, respectively.

    The waveforms of the three-phase compensation process is

    shown in Fig. 20. Here, a diode bridge supplying 10

    A of dc current is taken as the load. The displacement factor

    and power factor of the load current are 0.9107 and 0.8783,

    respectively, whereas the displacement factor and power factor

    of the source current are found to be 0.9999 and 0.9988,

    respectively.

    VII. EXPERIMENTAL   RESULTSA scaled-down laboratory prototype is developed to validate

    the simulation results of single- and three-phase topologies of 

    the proposed compensation schemes. Oscillogram records of 

    the various waveforms of the single-phase topology are shown

    in Figs. 21–25. Fig. 21 shows the steady-state performance of 

    the compensator while compensating a lagging load

    current of A. The harmonic spectrum of the

    compensated source current is shown in Fig. 22. It can be

    inferred that low-order harmonics are not introduced and the

    magnitude of the higher order harmonics are less than 1% of 

    the fundamental. This is achieved at a fairly low switching

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    CHATTERJEE   et al.: VOLT–AMPERE COMPENSATOR AND HARMONIC SUPPRESSOR SYSTEM 389

    (a)

    (b)

    (c)

    Fig. 17. Simulation waveforms of the single-phase topology compensating

    a nonlinear load. (a) DC-link voltage, (b) source voltage and source current,and (c) load current.

    Fig. 18. Harmonic spectrum of the nonlinear load current of Fig. 17.

    Fig. 19. Harmonic spectrum of the compensated source current of Fig. 17.

    (a)

    (b)

    (c)

    Fig. 20. Simulation waveforms of the three-phase topology compensating anonlinear load. (a) DC-link voltage, (b) phase-A source voltage and sourcecurrent, and (c) phase-A load current.

    Fig. 21. Steady-state performance: Tr1: dc-link voltage (50 V/div); Tr2:utility voltage (60 V/div); Tr3: source current (4 A/div); and Tr4: load current(5 A/div) time scale    ms/div.

    frequency of 2 KHz. Fig. 23 shows the compensation of a

    nonlinear load. The load in this case is ac–dc fully controlled

    thyristor bridge having a mismatch of firing angle delay

    between the positive and negative half cycles so that the

    current drawn contains a dc component in addition to the

    harmonics. Fig. 24 shows the transient behavior when an

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    390 IEEE TRANSACTIONS ON POWER ELECTRONICS, VOL. 14, NO. 2, MARCH 1999

    Fig. 22. Harmonic spectrum of the source current. Frequency range: 0–2.5KHz.

    Fig. 23. Steady-state performance: Tr1: dc-link voltage (50 V/div); Tr2:utility voltage (60 V/cm); Tr3: source current (4 A/div); and Tr4: nonlinearload current (1 A/div) time scale    ms/div.

    Fig. 24. Transient performance for increment in load: Tr1: dc-link voltage(15 V/div) and Tr2: source current (4 A/div). Time scale      s/div.

    incremental step change of to

    A is introduced in the load current, while Fig. 25 shows the

    utility voltage and source current along with the load current

    during the same condition. The source current is found to

    be inphase with the utility voltage even during the transients

    thereby validating the instantaneous compensation feature of 

    the scheme.

    Oscillogram records of the three-phase topology are shown

    in Figs. 26–32. Figs. 26 shows the steady-state behavior of 

    Fig. 25. Transient performance for increment in load: Tr1: utility voltage(30 V/div) and source current (4 A/div) and Tr2: load current (4 A/div). Timescale    ms/div.

    Fig. 26. Steady-state performance: Tr1: phase-A utility voltage (120 V/div);Tr2: phase-A source current (10 A/div); Tr3: phase-A load current (10 A/div);and Tr4: phase-B source current (10 A/div); time scale    ms/div.

    Fig. 27. Steady-state performance: Tr1: phase-A utility voltage (120 V/div);Tr2: phase-A source current (10 A/div); Tr3: phase-A nonlinear load current(10 A/div); and Tr4: phase-B source current (10 A/div); time scale    ms/div.

    the compensator compensating a linear lagging load

    current of A/phase. Fig. 27 shows the waveforms

    of nonlinear load compensation. The load considered is a

    diode bridge rectifier supplying a resistive load. Fig. 28 shows

    the spectrum of the nonlinear load current while Fig. 29 shows

    the spectrum of the compensated phase-A source current.

    Steady-state behavior for compensating an unbalanced

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    CHATTERJEE   et al.: VOLT–AMPERE COMPENSATOR AND HARMONIC SUPPRESSOR SYSTEM 391

    Fig. 28. Harmonic spectrum of the phase-A nonlinear load current. Fre-quency range: 0–5 KHz.

    Fig. 29. Harmonic spectrum of the phase-A source current. Frequency range:0–5 KHz.

    Fig. 30. Compensating an unbalanced load: Tr1: phase-A source current (10A/div); Tr2: phase-A load current (10 A/div); Tr3: phase-B source current (10

    A/div); and Tr4: phase-B load current (10 A/div). Time scale    ms/div.

    load is shown in Fig. 30. Here, the phase-A load current is

    reduced to 50% to that of the phase-B and phase-C load

    currents. It is observed that the source currents are balanced.

    For studying the transient behavior of the compensator,

    step change in the reference dc-link voltage is introduced

    instead of changing the load. Fig. 31 shows the dc-link voltage

    and phase-A source current when an incremental step change

    of 220–260 V is introduced. Fig. 32 depicts the utility voltage

    and source current of phase-A along with the utility voltage

    Fig. 31. Transient performance for increment in dc voltage reference: Tr1:dc-link voltage (44 V/div) and Tr2: phase-A source current (4 A/div). Timescale      s/div.

    Fig. 32. Transient performance for increment in dc voltage reference: Tr1:phase-A utility voltage (30 V/div) and phase-A source current (10 A/div)and Tr2: phase-B utility voltage (30 V/div) and phase-B source current (10A/div). Time scale    ms/div.

    and source current of phase B for the same condition of 

    transience. Here again the instantaneous compensation feature

    is observed.

    VIII. CONCLUSIONS

    A new reactive volt–ampere compensator and harmonic

    suppressor system is proposed for low- and medium-power

    applications. The proposed technique makes the compensation

    process instantaneous. This feature is achieved using simplified

    control technique thereby enhancing the system reliability.

    Mathematical model of the scheme is derived. Simulation

    results supported by experimental validations are presented.

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    Kishore Chatterjee was born in Calcutta, India, onJuly 20, 1967. He received the B.E. and M.E. (powerelectronics) degrees from M.A.C.T., Bhopal, India,and Bengal Engineering College, India, in 1990 and1992, respectively. In 1998, he received the Ph.D.degree in power electronics from the Indian Instituteof Technology, Kanpur, India.

    From 1997 to 1998, he was a Senior Project Asso-ciate at the Indian Institute of Technology, Kanpur,where he was involved with a project on powerfactor correction and active power filtering, which

    was being sponsored by the Central Board of Irrigation and Power, India.Since December 1998, he has been an Assistant Professor in the Departmentof Electrical Engineering, Indian Institute of Technology, Bombay. His currentresearch interests are modern var compensators, active power filters, utility-friendly converter topologies, and S.R.M. drives.

    B. G. Fernandes  was born in Mangalore, India, onMay 17, 1962. He received the B.Tech. degree in1984 from Mysore University, India, the M.Tech.degree in 1989 from the Indian Institute of Technol-ogy, Kharagpur, India, and the Ph.D. degree in 1993from the Indian Institute of Technology, Bombay,India.

    He was with M/S Development Consultant Ltd.from 1984 to 1987. From 1993 to 1997, he was withthe Department of Electrical Engineering, Indian

    Institute of Technology, Kanpur, as an AssistantProfessor. Currently, he is with the Department of Electrical Engineering,Indian Institute of Technology, Bombay. His current research interests arein PMSM drives, vector-controlled drives, quasi-resonant dc-link convertertopologies, modern var compensators, and active power filters.

    Gopal K. Dubey   (SM’83) was born on November17, 1939. He received the B.E. degree (with honors)from Jabalpur University, India, in 1963 and theM.Tech. degree in drives and controls and Ph.D.degree from the Indian Institute of Technology,Bombay, India, in 1965 and 1972, respectively.

    He was an Assistant Professor at the IndianInstitute of Technology, Bombay, until 1977 and hasbeen Professor at the Indian Institute of Technology,Kanpur, since 1978. He was an Honorary VisitingResearch Fellow and Commonwealth Scholar at the

    University of Bradford, U.K., from 1974 to 1975 and a Visiting Professor at theUniversity of British Columbia, Vancouver, Canada, from 1983 to 1984 andat the Virginia Polytechnic Institute and State University, Blacksburg, from1984 to 1985. He was a Senior Visiting Fellow at the National Universityof Singapore in 1995. His fields of interest include electrical drives, powerelectronics, control systems, and engineering education. He has written severalbooks including:  Power Semiconductor Controlled Drives  (Englewood Cliffs,NJ: Prentice-Hall, 1989),  Thyristorized Power Controllers (New Delhi: WileyEastern, 1986), and   Fundamentals of Electrical Drives   (New Delhi: Narosa,1994). He edited  Power Electronics and Drives   (New Delhi: Tata–McGraw-Hill, 1993) and has published 150 research papers. He is an Honorary Editorof the   IETE Journal of Research.

    Dr. Dubey received the Bimal Bose Award of IETE in 1990 for excellencein power electronics. He is a Fellow of the IETE, Institution of Engineers, andIndian National Academy of Engineering. He was Chairman of the IEEE UPSubsection and then Section for five years (1989–1993). He is an AssociateEditor of the IEEE TRANSACTIONS ON   POWER   ELECTRONICS.