Control of UPQC to Alleviate Power Quality Problems by Symmetrical Components Method

DOI : 10.17577/IJERTV8IS070032

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Control of UPQC to Alleviate Power Quality Problems by Symmetrical Components Method

U M Sandeep Kumar 1 Assistant Professor Department of EEE

Santhiram Engineering college Nandyal Kurnool, A.P, India

M Siva Sankar 2 Assistant Professor Department of EEE

Santhiram Engineering college Nandyal Kurnool, A.P, India

AbstractThis paper presents a symmetrical component method to control the series APF and shunt APF of UPQC to alleviate the power quality problems like voltage sag/ swell, voltage unbalance, current and voltage harmonics. In Electrical power distribution system, at point of common coupling the UPQC can enhance the power quality under distorted conditions. MATLAB/ SIMULINK based results are presented in detailed to reinforce the symmetrical component method.

Keywords Power quality(PQ); Active power filter(APF); Unified power quality conditioner (UPQC); symmetrical component theory (SCT); Voltage sag/swell; Voltage harmonics; current harmonics;


    The concerned about the term power quality are becoming increasingly in both electric utilities and end users of electric power industry is due to the following reasons

    1. Microprocessor-based controls, power electronic devices, Newer-generation load equipment are more sensitive to power quality problems..

    2. To improve overall power system efficiency usage of power electronic based systems like FACT devices, shunt capacitor for power factor correction and reactive power compensation are increased there by injection of harmonics into the system is also increased.

    3. Increment of awareness of power quality at end users to operate their electrical equipment at high efficiency and safely.

    4. Interconnecting of renewable energy sources to the grid system at time of synchronization

    The main reason that we are concentrating on power quality is economic value. On electric utilities, customers and suppliers of the load equipment has direct impact. The quality of power can have a direct economic impact on many industrial consumers. There has recently been a great emphasis on revitalizing industry with more automation and more modern equipment.

    The various types of power quality problems are short/long duration voltage variations like voltage sag, voltage swells, interruptions, under voltages, over voltages, harmonics, transients etc In the above power quality problems, the voltage sags and swells are the most important power quality problems. So in order to mitigate these sags and swells of voltages we have to approaches i, e… load conditioning and line conditioning.

    The solutions for power quality problems can be done from load side are called load conditioning.

    The following are the different ways of load conditioning

    1. UPS a) Online UPS

      1. Standby UPS

      2. Hybrid UPS

    2. Stabilizers,

    3. Motor-Generator sets,

    4. Active series compensators etc

    The solutions for power quality problems can be done from utility or line side are called line conditioning.

    The following are the different ways of load conditioning

    1. Fact control devices

    2. Shunt active filters

    3. Series active filters

      1. Custom power devices

        1. Shunt active filters

        2. Series active filters

        3. Dynamic voltage restorer

        4. D-Statcom

        5. UPFC (Unified power flow controller)

        6. UPQC (Unified power quality


    One of the effective approaches is to use a unified power quality conditioner (UPQC) at PCC to protect the sensitive loads.


    The configuration for Unified Power Quality Conditioner is shown in the Fig.1. At Point of Common Coupling the voltage may be or may not be distorted depending on the non-linear loads connected at PCC. Also, these loads may impose the voltage sag or swell condition during their switching ON and/or OFF operation. The UPQC is installed in order to protect a sensitive load from all disturbances.

    = =


    The UPQC is assumed to be lossless and therefore, the active power demanded by the load is equal to the active power input at PCC. The UPQC provides a nearly unity power factor source current, therefore, for a given load condition the input active power at PCC can be expressed by the following equations,

    = 6



    ( + ) =


    Fig 1. Block diagram of UPQC

    = 9


    The UPQC consists of two voltage source APF connected back to back, sharing a common dc link. Each APF is realized by using six IGBT switches. One APF is connected parallel with the load, acts as shunt APF, helps in compensating load harmonic current, reactive current and maintain the dc link voltage at constant level. The second APF is connected in series with the line using series transformers, acts as a controlled voltage source maintaining the load voltage sinusoidal and at desired constant voltage level.


The per phase equivalent circuit for a 3 phase UPQC is shown in the Fig. 2.

The above equation suggests that the source current iS depends on the factor k, since L and iL are load characteristics and are constant for a particular type of load. The complex power absorbed by the series APF can be expressed as,

= 10

= =




ØS =0, since UPQC is maintaining unity power factor

= = 13

= 14

The complex power absorbed by the shunt APF can be

expressed as,

= . 15

The current provided by the shunt APF, is the difference between the input source current and the load current, which includes the load harmonics current and the reactive current. Therefore, we can write;

= 16

Fig 2. Equivalent Circuit of a UPQC

The terminal voltage, source voltage, at Point of common coupling and load voltage are denoted by vs, vt and vL respectively. The source and load currents are denoted by is and iL respectively. The injected voltage by series APF is denoted by vSr, whereas the injected current by shunt APF is

= 17

= ( ) 18

= (( ( )) + )


= = ( ) 20

= = 21


  1. Control Scheme of Series Active Filter

    The control method of series APF consists of

    denoted by iSh. Taking the load voltage, vL, as a reference phasor and suppose the lagging power factor of the load is

    determination reference load terminal voltages (




    la ,

    * *





    lb , lc

    CosL then we can write

    = 1

    = 2

    ). Using the estimated reference voltages, the series filter is

    controlled such that to injects voltages ( vca , vcb , vcc ) which cancel out the distortions and/or unbalance present in the

    v v v

    = ( + ) 3

    Where factor k represents the fluctuation of source voltage,

    defined as,



    The voltage injected by series APF must be equal to,

    supply voltages ( sa, sb , sc ), thus making the voltage at PCC ( vla , vlb , vlc ) as perfectly balanced and sinusoidal with desired amplitude. In other words, the sum of supply voltage and injected series filter voltage makes the desired voltage at load terminals.

    The control algorithm followed using symmetrical

    become the three phase reference PCC voltage ( v* , v* , v* )

    components is depicted in Fig.3. Three-phase

    distorted/unbalanced supply voltages ( v , v , v ) are as

    la lb lc

    sa sb sc

    sensed and are transformed using symmetrical components

    ( ) = () 25

    transformation matrix as

    () = ( ) () 22

    The computed voltages are then given to hysteresis

    controller along with the sensed three phase PCC voltages,

    which generates the switching signals such that the voltage at

    The voltages

    va1 ,va2 and va0

    stand for positive,

    the PCC terminal becomes the desired sinusoidal reference

    negative and zero sequence components of phase to neutral voltage of phase a respectively. After transforming to


  2. Control Scheme of Shunt Active Filter

instantaneous symmetrical components,


is processed

The control algorithm of shunt AF consists of generation of

through a band pass filter (BPF) to eliminate any harmonics

sa sb sc

sa sb sc

present in the voltage and is denoted as V sin . This

three-phase reference supply currents ( i* , i* , i* ) and is


voltage is processed through a differentiator to get Vm cos

depicted in Fig. 4. This algorithm uses the supply in phase,

1200 displaced three unit vectors ( u , u , u ) computed

a b c

and these quantities are converted to three phase quantities as

using symmetrical components control scheme. The

amplitude of reference supply current ( I * ) is computed as

follows. Comparison of average and reference values of dc

() =




) 23

bus voltage of the AF results in a voltage error, which is fed



to a PI controller and the output of PI controller, is taken as

The amplitude of these voltages ( v , v , v ) is computed as

amplitude of the reference supply currents( I * ). Three in-

x y z

= ( + + ))


phase reference supply currents are computed by multiplying

( their amplitude and in-phase unit current vectors as


0 ( ) = () 26

Supply in phase 120 displaced, three unit vectors ( ua , ub ,

uc ) are calculated by dividing

vx , vy , vz

with their

amplitudeV 1 . The computed three in phase unit vectors are

The computed three phase supply reference currents are


then multiplied with the desired peak value of PCC phase

compared with sensed supply currents ( isa ,

isb ,

isc ) and are



voltage ( v*

), which become the three phase reference PCC

given to a hysteresis controller to generate the switching signals to the switches of the shunt AF which makes the



la lb lc

la lb lc

voltage ( v* , v* , v* ) as given in eqn 25. The computed three in phase unit vectors are then multiplied with the desired peak value of PCC phase voltage ( v* ), which

supply currents to follow its reference values. Hence the supply currents contain no harmonic and reactive power components. In this, the current control is applied over fundamental supply currents instead of fast changing AF currents, thereby reducing the computational delay and number of sensors required.

vsa vsb vsc

Positive Sequence

component Computation







Transformation vy

to three phase












1 uc




Hysterisis Controller

Hysterisis Controller



X la




X lb




X lc

gating signals to Shunt AF



amplitude *

Computation lm




Fig 3. Reference Voltage signal generation for the series APF of UPQC






ua ub







Hysterisis Controller

Hysterisis Controller







X sb







Gating signals to Shunt AF

Fig 4. Reference current generation for the shunt APF of UPQC


The Performance of the UPQC with symmetrical component theory control for compensation of voltage sag, voltage swell, and unbalanced supply in the power system has been analyzed by simulation. the source is assumed to be pure sinusoidal. The supply voltage which is available at UPQC terminal is considered as three phase, 50 Hz, 415 V (line to line)

with the maximum load power demand of 6 kW + j 3 kVAR (load power factor angle of 0.0.952 lagging).

Fig.7. Source active power and reactive power

Fig.5. Source Voltage

Fig.8.Dc bus Voltage

Fig.9.Injected voltage of series APF

Fig.6. Source Current

Fig.10.Shunt APF currents

Fig.11.Load voltages

Fig.12.Load Currents

Fig. 13. Load real and Reactive powers

Fig .14.THD of Source voltage

Fig.15. THD of load voltage

Fig 5 shows the source volatge with sag for time period of 0.3 to 0.4sec and with a swell for time period 0.5 to

0.6 sec. During these disturbance time periods the UPQC maintain the constant voltage at load terminals. Fig 8 shows the dc link capacitor voltage as constant. Fig 9 shows the injection of voltages by series APF to compensate the voltage sag/swell in the system.

Fig 7 and 13 shows the Active and Reactive powers od source and load under normal conditions, sag and swell conditions.

Fig 14 and 15 Shows the THD levels at source side and load side volatages as 3.07% and 1.22% with UPQC.


In this paper the symmetrical component theory is used to generate the reference voltage signals for series APF and reference current signals for shunt APF of UPQC to mitigate the voltage sags /swells and harmonics in the system. The effectiveness of UPQC has been demonstrated in maintaining three phase balanced sinusoidal reference load voltage, harmonic voltage elimination.


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