# New Control Strategy To Improve Power Quality Using A Hybrid Power Filter

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2 source current [5]. However, the choice of the appropriate value for the proportional constant is an unsolved question since it is related to the value of the passive filter and the source impedance. Another technique of propose control is to generate a voltage waveform like to the voltage harmonic in the side load but in opposition. his strategy only prevents the shunt passive filter depending on the source impedance, [6]. Later, a control strategy that combining both the above have been used [6], but they continue to suffer the difficulty of an indefinite value for the constant k in most of the applications. A recent strategy proposes that the active filter generates a voltage which compensates the reactive power of the passive filter and load set and allows elimination of the current harmonics [7]. here, the control target is to achieve constant power in the source side. In this paper a new control strategy based on the dual formulation of the vectorial theory of electric power [8-10] is proposed. It allows the voltage that the active filter has to generate to be determined so as to attain the compensation objective of achieving is to obtain a sinusoidal voltage in PCC. With this strategy it is possible to improve the compensation characteristics of the passive power filter without depending on the system impedance, since the set load-filter would have a behavior very similar to the one of a resistive element. It also avoids the danger that the passive filter will behave as a harmonic drain of near loads, and likewise the risk of possible series and/or parallel resonances with the rest of the system. In addition, the compensation is also possible for variable loads, not affecting some possible detuning of the passive filter. he system has been verified by means of an experimental prototype, applied to a nonlinear threephase load. he experimental results are presented. 2. Control strategy In a three phase system, the coordinates transformation from the phase reference system a-b-c, to --0 coordinates of the voltages and currents can be obtained by v va 2 = v vb (1) 3 v v c i ia 2 = i ib (2) 3 i i c he real instantaneous power in the frame --0 is calculated as follows p 3 φ ( t) = v i v i v0 i0 (3) his power can be written by means of p 3 φ ( t) = p p0 (4) Where p is the real instantaneous power without the zero sequence real instantaneous power and given by p = v i v i (5) his power can be written in vectorial form by means of the dot product p = i v (6) Where i is the transpose of the current vector in coordinates - [ i i ] i = (7) And v is voltage vector in the same coordinates [ v v ] v = (8) In the equation of the real instantaneous power (4), p 0 is the zero sequence real instantaneous power, determined as follows p = (9) 0 v0 i0 In a three wire system the zero sequence real instantaneous power is null. he imaginary instantaneous power is defined by the equation q =ˆ v i v i (10) his can be expressed by means of the dot product q = i v (11) Where i is the transpose of the current vector perpendicular to i and defined by, [ i i ] i = (12) According to these terms, both power variables previously defined can be expressed by p = q i i v (13)

3 By means of the current vectors and the instantaneous real and imaginary power, the voltage vector can be calculated as, p q v = i i 2 2 (14) i i instantaneous power to be calculated, obtaining its mean value with a low pass filter (). his power is consumed by the set passive filter and load. he mean power is divided by the square of rms value of fundamental current component. In order to achieve the desired compensation target, the current and the voltage source must be proportional v = R i (15) S e S1 Where i S1 is fundamental current component in the supply side and R e is the equivalent resistance which is defined by the following expression, i S v L Fundamental component calculation a-b-c - i v i 1 i 2 1 p Calculation p P I p * P R e = (16) 2 I 1 In this equation I 2 1 is the square rms value of the fundamental harmonics of the current vector and P is the active power consumed by the load. i 2 i 2 q Calculation q * herefore the voltage at the point of common coupling after compensation will be as follows, P v (17) PC = i 2 1 I1 p * q * i v * - v * a-b-c he load voltage is given by v p q L = i i 2 2 i i (18) Where p is the real instantaneous power and q is the imaginary instantaneous power of the load. he reference voltage of compensation injected by the active power filter is calculated as * v = v PC v L (19) hus, the compensation voltage considering equations (17) and (18) is given by v P p * = i i I1 i i q (20) When the active power filter supplies this compensation voltage, the set load and compensation equipment will behave very similar as a resistance of value R e. Fig. 2 shows the control scheme to calculate the compensation voltage for the active filter. he voltage vector in the side of the load and the source current vector are the input signals. By means of a calculation block the components - of the vectors v e i can be determined. he product of these vectors allows the real Fig 2. Control scheme he fundamental component is obtained by means of a block with the scheme shown in Fig. 3. he source current vector is multiplied by sinωt and cosω,t where ω is the fundamental frequency in rad/s. he mean values of the results are obtained by two low pass filters and aided by the function sinωt and cosωt. his allows us to obtain the fundamental component of the current vector; on the other hand, the real instantaneous power is divided by i 2. his result is multiplied by the current vector i, which allows us to determine the first term of the compensation voltage of the equation (20). sinωt i cosωt Fig. 3. Calculation fundamental component On the other hand, the imaginary instantaneous power is obtained and divided by i 2 and finally multiplied by the current vector i. It allows the second term in the 2 i 1

4 v a L s a v b v c L s L s b c Non linear Load C rf C rf C rf L rf L rf L rf L 5 L 5 L 5 L 7 L 7 L 7 C 5 C 5 C 5 C 7 C 7 C 7 Fig. 4. Passive filter combined with series active power filter topology. equation for the compensation voltage (20) to be obtained. he control strategy was verified with a model simulated in the platform Matlab-Simulink using the toolbox library of SimPowerSystem. Later an experimental prototype was manufactured. 3. Experimental prototype Fig. 4 shows the scheme of the power circuit. It is a three-phase three-wires system supplied by a sinusoidal balanced three-phase source of 100 V rms with source inductance of 5 mh. he control was implemented in control and data acquisition cards of general application, compatible with Matlab-Simulink developed by dspace. Real-ime Interface (RI) of dspace together Real ime Workshop (RW) from Mathworks automatically generates real time code on dspace. It allows to program the processor board and to select I/O boards. It is based on the DS 1005 PPC placed in a dspace expansion box. he input board was the DS 2004 A/D and the output board the DS DWO from dspace. he developed experimental prototype is shown in Fig. 5. he converter consists of an IGB bridge, type SKM50GB123 from Semikron. In the dc side two capacitors with 100 V are connected. In the ac side a LC filter has been included to eliminate the high frequency components. his set is connected to the power system by means of three single phase transformers of turn ratio 1:1. he passive power filter is making by two LC branches tuning to the 5 th and 7 th harmonics. he values of each passive element are included in the table I. ABLE I. Passive elements values Source Ls= 3.4 mh Pasive filter L 5 = 13.5 mh C 5 = 30 µf L 7 =6.75 mh C 7 = 30 µf Ripple filter L r = 13 mh C r = 50 µf he non linear load consists of a non controller three phase rectifier with an inductance of 55 mh and a resistance of 50 Ω connected in the dc side. Fig 5. Experimental prototype Fig. 6 shows the load current and voltage of the phase a, with the system without compensating. his waveform is obtained with an oscilloscope type Wavesurfer 424 from LECROY. he HD of the current measured with the power quality analyzer Fluke 43 is 21.5% and the voltage HD 11.2%. he power factor measured is 0.96.

5 For the phase b and c, similar results of HD and power factor was measured. Voltage in connection point Source current When the series active filter is connected, the HD of the source current falls to 1.0%. he waveform is shown in Fig. 8. Now, the power factor rises to his allows us to verify the proposed control improvement in the compensation characteristic of the passive filter and it practically achieves unity power factor. he HD of the voltage in the PCC is 1.35% and the waveform is shown in Fig. 8 with the phase current. Fig 6. Voltage and current source, phase a. System without compensating Fig. 7 shows the source current and voltage in the connection point when the shunt passive power filter is connected. his current and voltage have a HD of 5.1% and 4.3% respectively. he passive power filter was only designed to compensate the source current harmonics; the reactive power was not taken into account. he power factor of the set load and passive filter is Conclusions A new control algorithm for a series active filter has been proposed. he control strategy is based on the vectorial theory of electric power. he new control approach achieves the following targets: - he compensation characteristics of the hybrid compensator do not depend on the system impedance. - he hybrid power filter and load set are a behavior very similar to the one of a resistive element. his fact eliminates the risk of overload due to current harmonics of non linear loads close to the compensated system. Voltage in connection point Source current Fig 7. Voltage and current source, phase a, in the system with passive power filter - his compensator can be applied to loads with random power variation as it is not affected by changes in the tuning frequency of the passive filter. Furthermore, the reactive power variation is compensated by the series active filter. - Series and/or parallel resonances with the rest of the system are avoided because compensation equipment and load are behavior resistive. herefore, with the proposed control algorithm, the hybrid power filter improves the compensation features of the passive filter and the power factor of the load. he system has been verified by means of an experimental prototype, applied to a non-linear threephase load. he experimental results are presented. his fact has allowed verification of the theoretical analysis developed. Voltage in connection point Source current Fig 8. Voltage and current source, phase a, in the system with the hybrid power filter Acknowledgement his work is part of the projects "A new technique to reduce the harmonic distortion in electrical systems by means of equipment of active compensation", ref. DPI , sponsored by the Comisión Interministerial de Ciencia y ecnología, CICY, del

6 Ministerio de Ciencia y ecnología of Spain, and Design and implementation of a new equipment of active compensation with series connection for the improvement of the electrical waveform quality, ref. P06-EP-02354, sponsored by the Consejería de Innovación, Ciencia y Empresa de la Junta de Andalucía, of Andalucía, Spain. References [1] F. Z. Peng and D. J. Adams, Harmonics sources and filtering approaches, in Proc. Industry Aplications Conference, October 1999, Vol, 1, pp [2] H. Akagi, Active harmonic filters, Proceedings of the IEEE Volume 93, Issue 12, Dec Page(s): [3] J.C. Das, Passive Filters-Potentialities and Limitations, IEEE rans. on Industry Applications, Vol. 40, no. 1, January 2004, pp [4] F. Z. Peng, H. Akagi, A. Nabae, A novel harmonic power filter, in Proc. IEEE/PESC, April, 1988, pp [5] F. Z. Peng, H. Akagi, A. Nabae, A new approach to harmonic compensation in power systems-a combined system of shunt passive and series active filters, IEEE rans. Industry Applications. Vol, 26, no. 6, Nov/Dec 1990, pp [6] Z. Wang, Q. Wang, W. Yao and J. Liu, A series active power filter adopting hybrid control approach, IEEE rans. Power Electronics, vol. 16, no. 3, May 2001, pp [7] Y. S. Kim, J. S. Kim and S. H. Ko, hree-phase hree- Wire Series Active Power Filter, which Compensates for Harmonics and Reactive Power, IEE proc. Electr. Power Appl., Vol, 151, no. 3, May 2004, pp [8] F. Z. Peng, J. S. Lai, Generalized instantaneous reactive power theory for three phase power system, IEEE rans. Instrum. Meas. 1996, 45, (1), pp [9] Herrera, R. S.; Salmerón, P.; Kim, H.; "Instantaneous Reactive Power heory Applied to Active Power Filter Compensation: Different Approaches, Assessment, and Experimental Results", IEEE ransactions on Industrial Electronics, Vol. 55, No. 1, Jan-2008, pp: [10] P. Salmerón, R. S. Herrera, J. R. Vázquez, Mapping matrices against vectorial frame in the instantaneous reactive power compensation, IE Electric Power Applications, Volume 1, Nº 5, September 2007, pp

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