Fuzzy Logic and PI Controller Based Shunt Active Power Filter For

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International Journal of IT, Engineering and Applied Sciences Research (IJIEASR)

Volume 4, No. 6, June 2015

ISSN: 2319-4413

54

Fuzzy Logic and PI Controller Based Shunt Active Power

Filter For Harmonic Elimination

Kavita Sao , Department of Electrical Engineering, CSVTU University, Bhilai

Veenita Swarnkar , Department of Electrical Engineering, CSVTU University, Bhilai

Dr. Satya Prakash Dubey , Department of Electrical Engineering, CSVTU University, Bhilai

ABSTRACT

The present paper describes Fuzzy logic and PI controller Shunt Hybrid Active Power Filter (SHAPF) designed for harmonic compensation and reactive power under variable conditions. Therefore the power quality can be increase efficiently by using this Shunt hybrid active power filter. The main purpose of this work is

Fuzzy logic and PI controller based regulator, the shunt active power filter to compensate harmonics and reactive power by nonlinear load to enhance power quality is implemented for three wire system.The various simulation results are presented under steady state conditions and performance of Fuzzy and PI controllers is compared.

Simulation results obtained show that the performance of fuzzy controller is found to be better than PI controller.

Keywords

Shunt Active power filters (SAPFs); DC link voltage,

Fuzzy logic ,PI controller,VSI.

I.

INTRODUCTION

Thus, a power quality issue exists if any of the voltage, current or frequency various from sinusoidal nature occurs. Power quality issues are generally in commercial , industrial and utility networks as the power electronics appliance is normally used in these fields. These appliances produce harmonics and reactive power. It is very important to mitigate the dominant harmonics and therefore Total Harmonic Distortion

(THD) below 5% as specified in IEEE 519 harmonic standard [1].

To lessen the effect of harmonic distortion is removed by Active filter. To overcome this issue shunt Active

Power Filter (SAPF) is brought into effect. Active power filter is a flexible and dynamic solution for the mitigation of harmonic current due to their compact size, no requirement of tuning and static operation. Active power filter acts as harmonic current source to provide emphatic result to mitigate for harmonic currents as well as reactive power. It has the capacity to inject harmonic current into the AC system with the same amplitude but in opposite phase of the load [2]. As the SAPF is complex with cost effective parameter control, the shunt active power filter has been preferable in the subject of harmonic solution. Shunt active power filter gives the efficacious active filter, which implies the advantages of eliminates the harmonics and reactive power shown in figure1.

Figure 1. Shunt Active Filter Configuration

Accuracy of this shunt active power filter is depending upon the estimate of harmonic current and production of reference current. Paper present a three phase Fuzzy logic and PI controlled shunt hybrid active power filter is proposed [3], [4], [5]. To create the shunt active power filter model more dynamic and robust in nature in this paper a Fuzzy logic and PI controller have been used to make an easy estimate of reference currents. Low pass is used to generate fundamental from non-ideal voltage source. The extract fundamental currents are then subtracted from source current to calculate the reference signal i.e. harmonic current. The planned controller has self-learning with high accuracy and simple architecture and it can be successfully applied for harmonic filtering under different power system operating conditions. This paper presents, The Shunt power filter using Fuzzy logic and PI controller to control the harmonics under dissimilar non-sinusoidal and unbalanced source/load conditions for its presentation. i-Explore International Research Journal Consortium www.irjcjournals.org

International Journal of IT, Engineering and Applied Sciences Research (IJIEASR)

Volume 4, No. 6, June 2015

ISSN: 2319-4413

55

II.

PROPOSED TOPOLOGY

Three phase shunt active power filter is used as prototype shown in figure 2. Shunt active Power filter is used produce mitigation current in opposite phase.

Power circuit for SAPF is planned as An IGBT based three-phase voltage source inverter with DC storage capacitor for better mitigation of non-sinusoidal unbalanced /balanced loads. Active power filter has two various control schemes; one is Fuzzy logic controller that accounts for reference current production and a second PI controller for DC voltage regulation.Fuzzy logic and PI controller comprises three adaptive linear neurons to extract the fundamental components of the three phase voltages from non-sinusoidal supply [6]. The capacitors are planning to limit the DC voltage ripple to a particular value, typically 1 to 2 %. In this case the capacitor should be planned for the worst case. Since the shunt active filter will operate in several modes (balanced or unbalanced load), then the injection of mitigation current is complete in order to nullify or compensate the harmonic currents. Injection of this mitigation current gives enhanced power quality. The performance of the shunt active power filters is dependent to a great extent upon the method used for the estimate of reference current. etc. They have also decreased efficiency by drawing reactive current component of the distribution network [8]. In order to overcome these issues, active power filter (APFs) has been developed. The voltage-source- inverter (VSI)-based shunt active power filter has been used in present and known as a viable solution the control scheme, in which the necessary mitigating currents are determined by sensing line currents only, which is easy to implement. The system uses a conventional proportional plus integral (PI) controller for the generation of a reference current.

ο‚·

Basic Compensation Principal

APF A current regulated voltage source inverter with required passive equipments is used as an APF as shown in fig 1. It is controlled to supply /drawa compensated current from/to the utility, such that it eliminate harmonic and reactive Current of the non-linear load. Therefore, the resulting total current drawn from the AC mains is sinusoidal. Ideally, the APF requirements to produce just sufficient reactive and harmonic current to compensate the non-linear loads in the line.

Figure 2. Proposed topology of shunt active power filter

III.

CONTROL STRATEGY

A.

SHUNT ACTIVE POWER FILTER

In a present electrical distribution system, there has been a rapid increase of distorted loads, such as power supplies, domestic appliances, rectifier gear, and adjustable speed drives (ASD), etc. As the number of these loads rises, harmonic currents generate by these loads may become very significant. These harmonics could lead to a variety of different power system issues ,including the distorted voltage waveforms, gear overheating, malfunction in system protection, incorrect power flow metering, excessive neutral currents, light flicker

Fig.3 Shunt Active Power Filter with Non – Linear

B.

Load

REFERENCE COMPENSATION

CURRENT ESTIMATION

The following equations explain the procedure used for reference compensation current calculations.Let us consider i s

(t) is the instantaneous source current,

i l

(t ) is the instantaneous load current, and i c

(t) is the instantaneous compensating current rom Fig.3 according to Kirchhoff’s current law [18], the instantaneous currents can be written 𝑖 𝑠

𝑑 = 𝑖 𝑙

𝑑 − 𝑖 𝑐

𝑑

Let the instantaneous source voltage be 𝑣 𝑠

(𝑑) = 𝑣 π‘š 𝑠𝑖𝑛  𝑑

If a nonlinear load is applied, the load current will be

Divided into two parts, 1st is the fundamental component and 2nd is the harmonic component and can be i-Explore International Research Journal Consortium www.irjcjournals.org

International Journal of IT, Engineering and Applied Sciences Research (IJIEASR)

Volume 4, No. 6, June 2015

ISSN: 2319-4413

56 represented as

= 𝐼

1

𝑆𝑖𝑛(π‘›πœ”π‘‘ + 𝑖

𝐿

𝑑 = 𝐼 𝑛

𝑆𝑖𝑛(π‘›πœ”π‘‘ +

 𝑛

) + 𝑛=1 𝑛=2

𝐼

2

𝑆𝑖𝑛(π‘›πœ”π‘‘ +

 𝑛

)

 𝑛

)

The instantaneous load power can be given in terms of source voltage and load current as

= 𝑉 π‘š 𝑠𝑖𝑛 

1

𝐼

1

+ 𝑠𝑖𝑛

𝑉 π‘š

2 𝑝 πœ”π‘‘ ∗ π‘π‘œπ‘  π‘ π‘–π‘›πœ”π‘‘ ∗

𝐿

= 𝑃 𝑓



𝑑 = 𝑣

∞ 𝑛 𝑛=2

+ 𝑉 π‘š

𝐼 𝑛

𝑑 + 𝑃 𝑠

𝐼 π‘Ÿ

𝑑 ∗ 𝑖 𝑙

1

(𝑑) π‘ π‘–π‘›πœ”π‘‘ ∗ π‘π‘œπ‘ πœ”π‘‘ ∗ 𝑠𝑖𝑛⁑(π‘›πœ”π‘‘ +

𝑑 + 𝑃 β„Ž

 𝑛

(𝑑)

) (1)

From Equation (1), real (fundamental) power is drawn by the load

𝑃 𝑓

𝑑 = 𝑉 π‘š

𝐼

1 𝑠𝑖𝑛 2 πœ”π‘‘ ∗ π‘π‘œπ‘   𝑛

= 𝑉 𝑠

𝑑 + 𝐼 𝑠

(𝑑)

(2)

From Equation (2), the fundamental source current supplied

𝐼 𝑠

𝑑 =

𝑃 𝑓

𝑉 𝑠

Where

𝐼 π‘ π‘š

(𝑑)

(𝑑)

= 𝐼

= 𝐼

1

1 π‘π‘œπ‘  π‘π‘œπ‘  

1

 𝑛 𝑠𝑖𝑛  𝑑 = 𝐼 π‘š π‘ π‘–π‘›πœ”π‘‘

Also, present are some switching losses in the PWM converter.Therefore, the utility must supply a small overhead for the capacitor leaking and converter switching losses in addition to the real power of the load. Hence, total peak current supplied by the supply

𝐼 𝑠𝑝

= 𝐼 π‘ π‘š

+ 𝐼 𝑠1

(3)

If the active filter provides the total reactive and harmonic power, then i s

(t) will be in phase with the utility voltage and will be sinusoidal. The active filter must provide the following compensation current: 𝑖 𝑐

𝑑 = 𝑖

𝐿

𝑑 − 𝑖 𝑠

(𝑑)

Hence, for the accurate and instantaneous compensation of reactive and harmonic power, it is necessary to calculate i s

(t), which the fundamental component of load current is. This will be considered as the reference current.The main meaning of the control scheme is shown in figure 3 to maintain the sourecs current waveform Sinusoidal, identification of harmonic content, regulation of DC voltage and controlling system of SAPF is necessary which provides mitigating current to the power system as well as supply harmonic currents to the three phase variable load at the same instant. For the proper response of APF the extraction of the fundamental component of current of variable input, reference , current generation, DC voltage regulation and injection of compensation currents is essential tasks

[10]. These tasks could achieve only with the reference source current (I*sm), result in three phase reference supply currents (I*sa, I*sb, I*sc). The reference supply currents and sensed supply currents (Isa, Isb, Isc) are the inputs for the pulse generator, which generates the firing pulses for the gating signals to the IGBT’s of the active power filter[11], [12]. Hysteresis current control is a method of controlling a voltage source inverter so that the output current is generated which follows a reference current waveform.

C.

FUZZY LOGIC CONTROLLER

The fuzzy control scheme as shown in Fig. 4 consists offuzzification, defuzzification, and decision making unit[20]. The change in error, input are error and the output is given to drive circuit to get the signal. The inputs get fuzzified within fuzzification block and sends to decision making block to get the output by seeing the data sets and rule base. The output is given to defuzzification block to get the corresponding crisp values. They will be send to drive circuit to decide the signal.

Fig. 4 Fuzzy Control System

Fig. 5& 6shows the fuzzy inference system consists ofmembership functions and the method of decision making i.e. Mamdani. Here the membership functions are

(i) error (e) (ii) change in error (ce) and (iii) output of

FLC (o). The error is the difference between Vdc and

V dc , ref V . Change in Error is the derivative of DC V

.These two are the input membership functions and the output of the FLC is the output membership function. Fig.

6 shows Membership functions of Error, Change in Error and Output [7]. It shows the minimum and maximum values of membership functions and the ranges of membership functions. now only three membership functions are used small, medium and big for the ease of framing fuzzy inference system in all the membership functions. These consist of data of the system how it behaves. These require sflip flops or storing devices.

Fig.5 Fuzzy Inference System i-Explore International Research Journal Consortium www.irjcjournals.org

International Journal of IT, Engineering and Applied Sciences Research (IJIEASR)

Volume 4, No. 6, June 2015

ISSN: 2319-4413

57

Fig. 6. Degree of Membership Functions of Error,

Change in Error and Output

D.

Proportional Integral Controller

The PI controller algorithm involve two part parameters; the Proportional and the Integral. The Proportional value determine the reaction to the current error; the Integral determine the reaction based on the sum of recent errors.

A comparison of the average and the reference values of the DC bus voltage for the shunt AF results in a voltage error, which is fed to a proportional integral (PI) controller and the output of the PI controller is multiplied by the mains voltage waveform Vsa, Vsb, Vsc in order to obtain the supply reference currents isa*, isb*, isc*. A PI controller used to control the DC-bus voltage is shown in

Figure 6 whose transfer function can be represent as

𝐻 𝑆 = 𝐾 𝑝

+

𝐾

𝑆 𝑖

Where, kp is the proportional constant that determines the dynamic response of the DC-bus voltage control,and ki is he integration constant that determines it’s settling time

.

2

0

-2

6

4

-200

0

8

-4

-6

-8

0

100

50

0

-50

-100

-150

Figure 7. PI controller for DC-bus voltage control

It can be noted that if kp and ki are large, the DC-bus voltage regulation is dominant, and the steadystate DCbus voltage error is low. On the hand, if kp and ki are small, the real power unbalance gives little effect to the transient performance. Therefore, the proper selection of kp and ki is essentially important to satisfy above mentioned two control performances. The computed three-phase supply reference currents are compared with the sensed supply currents and are given to a hysteresis current controller to generate the switching signals to the switches of the shunt AF which makes the supply currents follow its reference values [13].

IV.

RESULT

The system parameters: Load resistance R

L

= 100WR,

Load inductance L

L

=37mH, Supply Phase voltage = 240

V, Supply line parameters Rs =1W, Ls = 3mH, Inverter

DC bus capacitor =2000μF, Reference Voltage = 480V,

Hysteresis band limit =0.5A and Switching frequency

=10kHz, PI controller parameters are Ki =30, Kp = 0.5.

The Active Power Filter with proposed Fuzzy logic and Pi controller was modeled and simulated in MATLAB. The proposed controller simulated with balanced nonlinear loads with sinusoidal/distorted, balanced conditions of source voltages.

200

150

0.2

0.2

0.4

0.4

0.6

0.6

0.8

0.8

1

Time(Sec)

1

Time(Sec)

1.2

1.2

1.4

1.4

1.6

1.6

1.8

1.8

x 10

2

5 x 10

2

5 i-Explore International Research Journal Consortium www.irjcjournals.org

International Journal of IT, Engineering and Applied Sciences Research (IJIEASR)

Volume 4, No. 6, June 2015

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200

100

0

0

0

-10

-20

-30

-40

0

40

30

20

10

500

400

300

40

30

20

10

0

-10

-20

0 0.2

0.2

0.2

0.4

0.4

0.4

0.6

0.6

0.6

0.8

1

Time(Sec)

1.2

0.8

1

Time(Sec)

1.2

0.8

1

Time(Sec)

1.2

1.4

1.4

1.4

1.6

1.6

1.6

1.8

2 x 10

5

1.8

x 10 5

2

1.8

x 10

2

5

40

30

20

10

0

-10

-20

-30

-40

0

450

400

350

300

250

200

150

100

50

0

0

5

-10

-15

0

-5

15

10

-20

-25

0 0.2

0.2

0.2

0.4

0.4

0.4

0.6

0.6

0.6

0.8

0.8

1

Time(Sec)

1

Time(Sec)

1.2

1.2

0.8

1

Time(Sec)

1.2

1.4

1.4

1.4

1.6

1.6

1.6

1.8

1.8

x 10

5

2 x 10

5

2

1.8

x 10 5

2

4

2

0

-2

8

6

-4

-6

-8

0

100

50

0

-50

-100

-150

-200

0

200

150

Fig. 8. Waveforms of PI Controller Shunt Active

Power Filter (THD of source current = 5.07%)

0.2

0.4

0.6

0.8

1

Time(Sec)

1.2

1.4

1.6

1.8

0.2

0.4

0.6

0.8

1

Time(Sec)

1.2

1.4

1.6

1.8

x 10

5

2

Fig. 9. Waveforms of Shunt Active Power Filter with

FLC (THD in source current = 4.70%)

V.

CONCLUSION

The In this paper proposed both Fuzzy Logic and PI controller was verified through simulation studies with

MATLAB. Proposed controller pro supply accurately.

The shunt APF with fuzzy logic controller is capable of

Reactive Power Compensation and Harmonic

Reduction.The PI controller can also give Simulation results obtained show that the performance of fuzzy controller is found to be better than PI controller.. This operation is not feasible practically, as it is difficult to x 10

5

2 i-Explore International Research Journal Consortium www.irjcjournals.org

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Volume 4, No. 6, June 2015

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59 change PI parameters with every load changes. The fuzzy logic controller is therefore more suitable for much cause.

REFERENCES

[1] Roger C.Dugan, Mark F. McGranaghan, Surya

Santoso and H.Wayne Beaty, ―Electrical power system qualityβ€–, Mcgraw-Hill.

[2] H. Akagi, ―Trends in active power line conditioners,β€– IEEE Trans. Power Electronics, vol. 9, no. 3, pp. 263 May 1994.

[3] K. Sangsun, and P. N. Enjeti, "A new hybrid active power filter (APF) topology", IEEE

Transactions on Power Electronics, vol.17, no. 1, pp. 48

[4] H. Akagi, Y. Kanazawa, and A. Nabae,

―Instantaneous reactive powecompensators comprising switching devices without energy storage components,β€– IEEE Transaction Industrial

Applications, vol. IA-20, pp. 625-630, May/June

1984.

[5] F. Z. Peng, H. Akagi, and A. Nabae, ―A study of active power filters using quad series voltage source pwm converters for harmonic compensation,β€– IEEE Transactions on Power

Electronics, vol. 5, no. 1,pp. 9–15, January 1990.

[6] Conor A. Quinn, Ned Mohan, ―Active Filtering of

Harmonic Currents in Three-phase, Four-Wire

Systems with Three-phase and Single-phase Non-

Linear Loadsβ€–, IEEE-1992.

[7] L. A. Morgan, J. W. Dixon, and R. R. Wallace, ―A three-phase active power filter operating with fixed switching frequency for reactive power and current harmonic compensation,β€– IEEE

Transactions on Industrial Electronics, vol. 42, no.

4, pp. 402–408, August 1995.

[8] B. Singh, ―Active power line conditioners for power quality improvement - a perspective,β€–

Journal of Indian Institute of Science, vol.78, pp.

565–583, January–February, 1998.

[9] K. Chatterjee, B. G. Fernandes, and G. K. Dubey,

―An instantaneous reactive voltampere compensator and harmonic suppressor system,β€–

IEEE Transactions on PowerElectronics, vol. 14, no. 2, pp. 381–392,March 1999.

[10] Soumia Kerrouche, Fateh Krim, ―Three Phase

APF based on Fuzzy logic controllerβ€–,

International Journal ofSciences and Techniques of Automatic Control and computer engineering

(IJ-SAT), Vol.3, pp.942- 955, July 2009.

[11] Ahmed A. Helal, Nahla E. Zakzouk, and Yasser

G. Desouky, ―Fuzzy Logic Controlled Shunt

Active Power Filter for Three-phase Four-wire

Systems with Balanced and Unbalanced Loadsβ€–,

World Academy of Science, Engineering and

Technology, Vol. 58, 2009.

[12] T Narasa Reddy, M V Subramanyam, ―Fuzzy

Logic Controlled Shunt Active Power Filter for

Mitigation ofFuzzy Logic Controlled Shunt

Active Power Filter for Mitigation of Harmonics with Different Membership Functionsβ€–,

International Conference on Advances in

Computing, Control, and Telecommunication

Technologies, 2009.

[13] P.Radhika and Dr. D Devraj, ―Artificial Intelligent

Controller based Three Phase Shunt Active Filter for Hramonic Reduction and Reactive Power

Compensationβ€–, Proceedings of the International

MultiConference of Engineers and Computer

Scientists (IMECS), March 17-19, 2010,

Hongkong.

[14] G. Jayakrishna, K.S.R.Anjaneyulu, ―Fuzzy Logic

Control based Three Phase Shunt Active Filter for

Voltage Regulation and Harmonic Reductionβ€–,

International Journal of Computer Applications ,

Vol. 10, 2010.

[15] Rathika Ponpandi, Devaraj Durairaj, ― A Novel

Fuzzy—Adaptive Controller Based Three Phase

Four Wire-Four Leg ShuntActive Filter for

Harmonic and Reactive Power Compensationβ€–,

Energy and Power Engineering, , Vol.3, pp. 422-

435, 2011.

[16] Chin-Yuan Hsu and Horng-Yuan Wu, ―A New

Single-phase Active Power Filter with Reduced

Energy Storage Capacitorβ€–, IEE Proceedings.-

Electrical Power Applications, Vol. 143, No. 1,

January 1996.

[17] N. Mohan, T. M. Undeland, and W. P. Robbins,

Power Electronics: Converters, Applications and

Design, New York: John Wiley and Sons, 1995.

[18] S.N.Sivanandam, S. Sumathi and S.N. Deepa,

―Introduction to Fuzzy Logic using MATLABβ€–,

Springer-Verlag Berlin Heidelberg,2007.

[19] G. K. Singh, ―Power system harmonics research: a surveyβ€– European Transactions on Electrical

Power, 2009 Page(s):151 – 172.

[20] B. K. Bose, Expert Systems, Fuzzy Logic and

Neural Network Application in Power Electronics and Motion Control. Piscataway, NJ: IEEE Press,

1999, ch. 11.

[21] Dell’Aquila, A. Lecci, and V. G. Monopoli,

―Fuzzy controlled active filter driven by an innovative current reference for cost reduction,β€– in proc. IEEE Int. symp. Ind. Electron., vol. 3, May

26-29, 2002, pp. 948-952.

[22] B.Singh, A. Chandra, and K. Al-Haddad,

―Computer-aided modeling and simulation of active power filters,β€– Elect. Mach. Power Syst., vol. 27, pp. 1227-1241, 1999.

[23] G.K. Singh, A.K. Singh, R. Mitra., ―a simple fuzzy logic based robust active power filter for harmonics minimization under random load variationβ€– Electr. Power Syst. Res. (2006). i-Explore International Research Journal Consortium www.irjcjournals.org

International Journal of IT, Engineering and Applied Sciences Research (IJIEASR)

Volume 4, No. 6, June 2015

ISSN: 2319-4413

60

[24] Recommended Practices and Requirements for

Harmonic Control in Electronic Power Systems,

IEEE Standard 519-1992, New York, 1993

[25] S. S. Mortazavi, R. Kianinezhad, A. Ghasemi

Auto Tuned Robust Active Power Filter for Power

Quality Improvement under Fast Load Variation

[26] Ahmed A. Helal, Nahla E. Zakzouk, andYasser G.

Desouky ―Fuzzy Logic Controlled Shunt Active

Power Filter for Three-phase Four-wire Systems with Balanced and Unbalanced Loads. i-Explore International Research Journal Consortium www.irjcjournals.org

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