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Ch. Ravikiran, G.Indira Kishore, Tlsv .Ayya Rao, M. Rambabu / International Journal of
      Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                     Vol. 2, Issue 5, September- October 2012, pp.096-101
Effective Elimination of Harmonics By Means Of A Hybrid Series
                       Active Filter (HSAF)
  CH. RAVIKIRAN a,*, G.INDIRA KISHORE b, TLSV .AYYA RAO c, M.
                          RAMBABU d
          a. PG Student, E.E.E Dept., G.M.R Institute of Technology, Rajam, Andhra Pradesh, India
      b. Assistant Professor, E.E.E Dept., G.M.R Institute of Technology, Rajam, Andhra Pradesh, India,
      c. Assistant Professor, E.E.E Dept., G.M.R Institute of Technology, Rajam, Andhra Pradesh, India,
      d. Assistant Professor, E.E.E Dept., G.M.R Institute of Technology, Rajam, Andhra Pradesh, India,


Abstract
        In this paper, a fully-digital-controlled         harmonic filtering, reactive power compensation, and
hybrid series active filter (HSAF) for harmonic           etc [1-2].
elimination and reactive power compensation in                      An important technology on active filters is
single phase systems is presented. The HSAF is            the detecting method of harmonics to reduce the
composed of two single tuned LC filters and a             capacity of the energy storage components. Various
small-rated active filter. Discrete Fourier               control strategies have been proposed in recent
transformation is used as the control method.             publications for this type of active filters [3-16]. The
Simulation results using MATLAB program                   control strategy presented in [3] is based on the
shows the effectiveness of the control method. A          calculation of the real part of the fundamental load
hybrid series active filter is implemented verifying      current while this is useful in some configurations
the accuracy of the control method.                       such as hybrid series active filter, since it cannot
                                                          compensate reactive power completely and needs
Keywords: – Hybrid series active filter, single           many complicate calculations. The active power filter
phase active filter, harmonic elimination, reactive       proposed in [4]–[5] uses a dc capacitor voltage
power compensation, detection methods, power              closed-loop control; in [6] the author uses an adaptive
quality.                                                  method with Kalman filter to predict reference
                                                          current; in [7] and [8] the authors use a modified
I. I NTRODUCTION                                          phase-locked loop for extraction of the reference
          With the developments of power electronic       current. In the cited references, the computation
equipments and nonlinear loads, the power quality         involves various control parameters or needs
has been decreases in distribution system. Current        complex calculations. Also, the dynamic performance
harmonics can cause serious harmonic problems in          of the compensator is not desire in the case of fast-
distribution feeders for sensitive consumers. Some        changing loads.
technology options have been reported in order to
solve power quality issues. Initially, lossless passive             The least compensation current control
filters have been used to mitigate harmonics and          method presented in [9] is based on detection of the
compensate reactive power in nonlinear loads.             harmonics and reactive current of the active power
However, passive filters have the demerits of fixed       filter. In [10], genetic algorithm and extended
compensation, large size and resonance with the           analysis optimization techniques were applied for sw-
supply system.                                            itched capacitor active filters. A combined genetic
          Active filers have been explored in shunt       algorithm conventional analysis control technique
and series configurations to compensate different         [11] has been considered as a recent cont rol
types of nonlinear loads. They have some drawbacks.       approach. These control strategies have a common
As a case in point, their rating is sometimes very        drawback concerning the global stability of the
close to load, and thus it becomes a costly option for    closed-loop system. In [12], the control method is
power quality improvement. Many researchers have          based on the calculation of average power; this needs
classified different types of nonlinear loads and have    to know some information about system and requires
suggested various filter options for their                intense calculation. The sliding-mode control method
compensation. In response to these factors, a series of   proposed in [13] solves the stability problem;
hybrid filters has been evolved and extensively used      however, the calculation technique for compensation
in practice as a cost-effective solution for the          of current reference is complicated and switching
compensation of nonlinear loads. Many shunt active        frequency is variable. In [14], a digital repetitive
filters consisting of voltage fed pulse width             control approach is presented to obtain high gain for
modulated (PWM) inverters using IGBT or GTO               the current loop; nevertheless, the control strategy in
thyristors are operating successfully in all over the     this approach is based on a linearized model of the
world. These filters have provided the required           active filter and does not lead to global stability. A



                                                                                                    96 | P a g e
Ch. Ravikiran, G.Indira Kishore, Tlsv .Ayya Rao, M. Rambabu / International Journal of
      Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                     Vol. 2, Issue 5, September- October 2012, pp.096-101
deadbeat control strategy is introduced in [15] for the              The active filters can be classified into pure
current loop of single-phase active filters. Although      active filters and hybrid active filters in terms of their
this method has a fast current control due to the          circuit configuration. Most pure active filters as their
deadbeat nature, it dependency on parameters is a          power circuit can use either a voltage-source pulse
basic disadvantage. Furthermore, the need for              width-modulated (PWM) converter equipped with a
prediction of the current reference requires adaptive      dc capacitor or a current-source PWM converter
signal processing techniques, complicating the             equipped with a dc inductor. At present, the voltage-
implementation of this technique. Passivity-based          source converter is more favorable than the current-
controllers [16] based on phasor models of system          source one in terms of cost, physical size, and
dynamics have also been proposed in an attempt to          efficiency. Hybrid active filters consist of single or
improve the stability properties of active filters. This   multiple voltage-source PWM converters and passive
work uses a Discrete Fourier transform for single          components such as capacitors, inductors, and/or
phase active power filters (APF) that is organized as      resistors. The hybrid filters are more attractive in
follows: section II shows the hybrid series active         harmonic filtering than the pure filters from both
filter (HSAF) configuration for                            viability and economical points of view, particularly
                                                           for high-power applications. However, single-phase
                                                           active filters would attract much less attention than
                                                           three-phase active filters because single-phase
                                                           versions are limited to low-power applications except
                                                           for electric traction [17].
                                                                     Fig. 1 shows the configuration of the HSAF
                                                           and nonlinear load proposed in this paper and, its
                                                           parameters are given in Table I. The HSAF consists
                                                           of a series active filter and two parallel single tuned
                                                           passive filters in series with the active filter. Two
                                                           passive filters are tuned in dominants harmonic
                                                           frequencies of 3rd and 5th. The effectiveness of the
                                                           proposed method in harmonic elimination and
                                                           reactive power compensation is shown using HSAF
 Fig. 1. System configuration.                             for a nonlinear load. In the following sections, the
         for harmonic elimination and reactive power       control method, the design process and simulation
compensation; section III presents the control             results are given.
method; section IV shows stability analysis of the
proposed configuration; section V shows frequency          III. COMPENSATION STRATEGY
response of the proposed configuration; section VI                   One of the key points for proper
presents the simulation results of this method for a       implementation of an APF is to use a reliable method
hybrid series active filter, and section VII presents      for current/voltage reference generation. Currently,
the experimental results of this method for a HSAF         there is a large variety of practical implementation
                                                           supported by different theories (either in time or
TABLE I. System parameters used in simulations l           frequency domain). The control method should
results of this method for a HSAF.                         extract the harmonic components with minimum
PARAMETER                             VALUES               phase shift and attenuate the fundamental component.
Power source voltage : Vs(V)          220                  In this paper discrete Fourier transformation (DFT) is
System equivalent inductance: Ls(mH)  0.48                 used to extract the source current harmonics with
Load input inductor: LAC (mH)            3                 assuming N samples in a cycle, as:
Filter capacitor of 3r d: C3f (μ f)     25                                      𝑗 2𝑘𝜋
                                                                   𝑁−1
Filter inductance of 3r d: L3f(Mh)      45                 X1=     𝐾=0   𝑥𝑘 𝑒      𝑛                            (1)
Filter capacitor of 5r d: C5f(μ f)      25
Filter inductance of 5r d: L5f(mH)      16                                              𝑗 2𝑘𝜋

dc capacitor: Cdc(μ f)                1500
                                                           X K 1 = 1𝑁    𝑁−1
                                                                         𝐾=0    𝑥𝑘 𝑒       𝑛            (2)
Load capacitor: CL(μ f)               2100
Load resistance: RL(Ω)                  40                          where (1) is DFT and (2) is inverse DFT.
Power system fundamental frequency:     50                 After extracting the fundamental component, it is
(Hz)                                                       subtracted from source current to extract harmonic
                                                           components as:
II. HARMONIC ELIMINATION USING A                            I SH  I S  i S1                           (3)
HYBRID SERIES ACTIVE F ILTER                                        Fig. 2 shows the control circuit. A method
(HSAF)                                                     was proposed by Akagi [17] to control the dc voltage
                                                           capacitor. Based on this method, if active filter is



                                                                                                      97 | P a g e
Ch. Ravikiran, G.Indira Kishore, Tlsv .Ayya Rao, M. Rambabu / International Journal of
       Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                      Vol. 2, Issue 5, September- October 2012, pp.096-101
along the passive filter, an extra voltage reference         Fig. 4. Control diagram of the system with constant
should be added to q component. As seen in this             delay τ
figure, a component with 90 degree lead the load            From the diagram relationship between system
terminal voltage is added to reference voltage in           critical time (τ) and system impedance in different
order to control the dc link voltage capacitor.             values of K. Asseen in this figure, as K increases, the
                                                            system critical time decreases to avoid instability;
                                                            however, the source current THD decreases.

                                                            V. FREQUENCY CHARACTERISTIC                         OF
                                                            THE SYSTEM




Fig. 2. Control circuit of hybrid series active filter.     Fig. 5. Harmonic equivalent circuit of single phase
                                                            System
IV. SYSTEM STABILITY ANALYSIS                                        Single phase harmonic equivalent circuit of
          Fig. 3 shows whole system block diagram.          the power system, shown in Fig. 1, is demonstrated in
Active filter shows zero impedance against                  Fig. 5. In this figure, the voltage source harmonics
fundamental component of the source current while it        are modeled by V sh , is in series with the Thevenin
shows high impedance against harmonics. In Fig. 3,          impedance (Zs) of the power system. Also, nonlinear
analog to digital converters in control circuit give rise   load is a diode rectifier by a resistive capacitive load
to some delays in system. Also, it takes some time to       on its output. This load has usually a voltage source
extract harmonic components by the microcontroller.         characteristic because an inductor is on rectifier input
Assuming all the delays in the system as τ, Fig. 4          and this makes it as a current source type load
shows the system control diagram. So, the open-loop         characteristic The load is modeled by harmonic
transfer function will be as:                               voltage VLhv in series with inductor LAC. The series
           𝐾
                                                            active filter behaves as a damping resistor which can
G(S)=           𝑒 −𝑠𝜏                                (4)    eliminate resonance between the parallel passive
        𝑆𝐿+𝑍𝐹
                                                            filter and the source impedance. It also prevents
          Eqs. (4) Represents that if τ is zero, the        flowing of harmonic currents to the power source by
system will always be stable. However, the existence        presenting zero impedance at the fundamental
of noise is unavoidable.                                    frequency and a high resistance K at the power
                                                            source or load harmonics. So, the series active filter
                                                            can be modeled by a resistor, K, and its output
                                                            reference voltage as:
                                                            Vaf  KI SH                                          (5)
                                                                     where Ish is the harmonic current flowing
                                                            from the power source, produced by both the load
                                                            harmonic current (ILh) and the power source
                                                            harmonic voltage (VSh). Consequently, from the
        Fig. 3. Block diagram of the whole system.
                                                            model shown in Fig. 5, the harmonic current ofthe
                                                            power source is calculated as:
                                                                           z PF                 VSH
                                                            I SH                   I LH                      (6)
                                                                     Z S  Z PF  K        Z S  Z PF  K
                                                                     where Zs and Zpf are power source and
                                                            passive filter equivalent impedance, respectively.
                                                            Based on (6), when K is large enough greater than Zs
                                                            and Zpf, the power source harmonic currents will be
                                                            equal to zero (ISh=0). In fact, in this case the source
                                                            impedance (Zs) has no impact on the parallel passive



                                                                                                      98 | P a g e
Ch. Ravikiran, G.Indira Kishore, Tlsv .Ayya Rao, M. Rambabu / International Journal of
      Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                     Vol. 2, Issue 5, September- October 2012, pp.096-101
filter characteristic, and the power source current
harmonics will completely be eliminated. If the
power source voltage harmonics (VSh) is not
considered, the load current will be divided between
the passive filter and the power source; in this case,
the ratio between the power source harmonic current
and the load harmonic current is:
I SH      Z PF
                                                  (7)
I LH Z S  Z PF  K

          when the series active filter is used along
                                                          Fig. 6. Simulated waveforms of compensated system
with the passive filter, since the series active filter
                                                          with passive filter
behaves as a damping resistor, there is no resonance
in the system.
                                                          VI.  SIMULATION                 RESULTS          AND
                                                          DISCUSSION
                                                                    Harmonic elimination and reactive power
                                                          compensation by HSAF is shown in this section
                                                          through simulation. A HSAF with the process
                                                          presented above is simulated in MATLAB. In this
                                                          simulation two single tuned passive filters were used
                                                          with the parameters given in Table I. Fig. 6 shows
                                                          the simulation results when the active filter is in off-
                                                          line mode. The power source current THD (iL)
                                                          without compensation is calculated about 74 %. Also,
                                                          in passive filter compensation mode, the THD of the
                                                          power source current (is) decreases from 74% to
                                                          about 43 %. Yet, this value has not been below the
                                                          recommended value in standards such as IEEE
                                                          519-1992 [21] and IEC61000 [22]. To decrease the
                                                          value of the THD, the active filter is emplo-yed with
                                                          the dc capacitor voltage of 84 V. Fig. 7 shows the
                                                          simulation results in this case. The THD of the power
                                                          source current (is) decreases from 43% in off-line
                                                          active filter mode to about 4.9 % in on-line active
                                                          filter mode.




                                                                                                    99 | P a g e
Ch. Ravikiran, G.Indira Kishore, Tlsv .Ayya Rao, M. Rambabu / International Journal of
      Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                     Vol. 2, Issue 5, September- October 2012, pp.096-101
                                                         phase systems. The main advantage of the presented
                                                         series active filter is that its filter’s power rating is
                                                         10% of the load making it a cost-effective solution
                                                         for high power applications. The performance of the
                                                         proposed control method is simulated for a HSAF.
                                                         The simulation results show the effectiveness of the
                                                         presented method.

                                                         REFERENCES
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VII. CONCLUSION                                                   optimization techniques for switched
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controlled HSAF for harmonic elimination and                      Proc. Inst. Elect. Eng.—Electr. Power Appl.,
reactive power compensation in a single phase                     vol. 147, pp. 21–26, no. 1, Jan. 2000.
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                                                                                                  100 | P a g e
Ch. Ravikiran, G.Indira Kishore, Tlsv .Ayya Rao, M. Rambabu / International Journal of
    Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                   Vol. 2, Issue 5, September- October 2012, pp.096-101
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[15]   K. Nishida, M. Rukonuzzman, and M.
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S25096101

  • 1. Ch. Ravikiran, G.Indira Kishore, Tlsv .Ayya Rao, M. Rambabu / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.096-101 Effective Elimination of Harmonics By Means Of A Hybrid Series Active Filter (HSAF) CH. RAVIKIRAN a,*, G.INDIRA KISHORE b, TLSV .AYYA RAO c, M. RAMBABU d a. PG Student, E.E.E Dept., G.M.R Institute of Technology, Rajam, Andhra Pradesh, India b. Assistant Professor, E.E.E Dept., G.M.R Institute of Technology, Rajam, Andhra Pradesh, India, c. Assistant Professor, E.E.E Dept., G.M.R Institute of Technology, Rajam, Andhra Pradesh, India, d. Assistant Professor, E.E.E Dept., G.M.R Institute of Technology, Rajam, Andhra Pradesh, India, Abstract In this paper, a fully-digital-controlled harmonic filtering, reactive power compensation, and hybrid series active filter (HSAF) for harmonic etc [1-2]. elimination and reactive power compensation in An important technology on active filters is single phase systems is presented. The HSAF is the detecting method of harmonics to reduce the composed of two single tuned LC filters and a capacity of the energy storage components. Various small-rated active filter. Discrete Fourier control strategies have been proposed in recent transformation is used as the control method. publications for this type of active filters [3-16]. The Simulation results using MATLAB program control strategy presented in [3] is based on the shows the effectiveness of the control method. A calculation of the real part of the fundamental load hybrid series active filter is implemented verifying current while this is useful in some configurations the accuracy of the control method. such as hybrid series active filter, since it cannot compensate reactive power completely and needs Keywords: – Hybrid series active filter, single many complicate calculations. The active power filter phase active filter, harmonic elimination, reactive proposed in [4]–[5] uses a dc capacitor voltage power compensation, detection methods, power closed-loop control; in [6] the author uses an adaptive quality. method with Kalman filter to predict reference current; in [7] and [8] the authors use a modified I. I NTRODUCTION phase-locked loop for extraction of the reference With the developments of power electronic current. In the cited references, the computation equipments and nonlinear loads, the power quality involves various control parameters or needs has been decreases in distribution system. Current complex calculations. Also, the dynamic performance harmonics can cause serious harmonic problems in of the compensator is not desire in the case of fast- distribution feeders for sensitive consumers. Some changing loads. technology options have been reported in order to solve power quality issues. Initially, lossless passive The least compensation current control filters have been used to mitigate harmonics and method presented in [9] is based on detection of the compensate reactive power in nonlinear loads. harmonics and reactive current of the active power However, passive filters have the demerits of fixed filter. In [10], genetic algorithm and extended compensation, large size and resonance with the analysis optimization techniques were applied for sw- supply system. itched capacitor active filters. A combined genetic Active filers have been explored in shunt algorithm conventional analysis control technique and series configurations to compensate different [11] has been considered as a recent cont rol types of nonlinear loads. They have some drawbacks. approach. These control strategies have a common As a case in point, their rating is sometimes very drawback concerning the global stability of the close to load, and thus it becomes a costly option for closed-loop system. In [12], the control method is power quality improvement. Many researchers have based on the calculation of average power; this needs classified different types of nonlinear loads and have to know some information about system and requires suggested various filter options for their intense calculation. The sliding-mode control method compensation. In response to these factors, a series of proposed in [13] solves the stability problem; hybrid filters has been evolved and extensively used however, the calculation technique for compensation in practice as a cost-effective solution for the of current reference is complicated and switching compensation of nonlinear loads. Many shunt active frequency is variable. In [14], a digital repetitive filters consisting of voltage fed pulse width control approach is presented to obtain high gain for modulated (PWM) inverters using IGBT or GTO the current loop; nevertheless, the control strategy in thyristors are operating successfully in all over the this approach is based on a linearized model of the world. These filters have provided the required active filter and does not lead to global stability. A 96 | P a g e
  • 2. Ch. Ravikiran, G.Indira Kishore, Tlsv .Ayya Rao, M. Rambabu / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.096-101 deadbeat control strategy is introduced in [15] for the The active filters can be classified into pure current loop of single-phase active filters. Although active filters and hybrid active filters in terms of their this method has a fast current control due to the circuit configuration. Most pure active filters as their deadbeat nature, it dependency on parameters is a power circuit can use either a voltage-source pulse basic disadvantage. Furthermore, the need for width-modulated (PWM) converter equipped with a prediction of the current reference requires adaptive dc capacitor or a current-source PWM converter signal processing techniques, complicating the equipped with a dc inductor. At present, the voltage- implementation of this technique. Passivity-based source converter is more favorable than the current- controllers [16] based on phasor models of system source one in terms of cost, physical size, and dynamics have also been proposed in an attempt to efficiency. Hybrid active filters consist of single or improve the stability properties of active filters. This multiple voltage-source PWM converters and passive work uses a Discrete Fourier transform for single components such as capacitors, inductors, and/or phase active power filters (APF) that is organized as resistors. The hybrid filters are more attractive in follows: section II shows the hybrid series active harmonic filtering than the pure filters from both filter (HSAF) configuration for viability and economical points of view, particularly for high-power applications. However, single-phase active filters would attract much less attention than three-phase active filters because single-phase versions are limited to low-power applications except for electric traction [17]. Fig. 1 shows the configuration of the HSAF and nonlinear load proposed in this paper and, its parameters are given in Table I. The HSAF consists of a series active filter and two parallel single tuned passive filters in series with the active filter. Two passive filters are tuned in dominants harmonic frequencies of 3rd and 5th. The effectiveness of the proposed method in harmonic elimination and reactive power compensation is shown using HSAF Fig. 1. System configuration. for a nonlinear load. In the following sections, the for harmonic elimination and reactive power control method, the design process and simulation compensation; section III presents the control results are given. method; section IV shows stability analysis of the proposed configuration; section V shows frequency III. COMPENSATION STRATEGY response of the proposed configuration; section VI One of the key points for proper presents the simulation results of this method for a implementation of an APF is to use a reliable method hybrid series active filter, and section VII presents for current/voltage reference generation. Currently, the experimental results of this method for a HSAF there is a large variety of practical implementation supported by different theories (either in time or TABLE I. System parameters used in simulations l frequency domain). The control method should results of this method for a HSAF. extract the harmonic components with minimum PARAMETER VALUES phase shift and attenuate the fundamental component. Power source voltage : Vs(V) 220 In this paper discrete Fourier transformation (DFT) is System equivalent inductance: Ls(mH) 0.48 used to extract the source current harmonics with Load input inductor: LAC (mH) 3 assuming N samples in a cycle, as: Filter capacitor of 3r d: C3f (μ f) 25 𝑗 2𝑘𝜋 𝑁−1 Filter inductance of 3r d: L3f(Mh) 45 X1= 𝐾=0 𝑥𝑘 𝑒 𝑛 (1) Filter capacitor of 5r d: C5f(μ f) 25 Filter inductance of 5r d: L5f(mH) 16 𝑗 2𝑘𝜋 dc capacitor: Cdc(μ f) 1500 X K 1 = 1𝑁 𝑁−1 𝐾=0 𝑥𝑘 𝑒 𝑛 (2) Load capacitor: CL(μ f) 2100 Load resistance: RL(Ω) 40 where (1) is DFT and (2) is inverse DFT. Power system fundamental frequency: 50 After extracting the fundamental component, it is (Hz) subtracted from source current to extract harmonic components as: II. HARMONIC ELIMINATION USING A I SH  I S  i S1 (3) HYBRID SERIES ACTIVE F ILTER Fig. 2 shows the control circuit. A method (HSAF) was proposed by Akagi [17] to control the dc voltage capacitor. Based on this method, if active filter is 97 | P a g e
  • 3. Ch. Ravikiran, G.Indira Kishore, Tlsv .Ayya Rao, M. Rambabu / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.096-101 along the passive filter, an extra voltage reference Fig. 4. Control diagram of the system with constant should be added to q component. As seen in this delay τ figure, a component with 90 degree lead the load From the diagram relationship between system terminal voltage is added to reference voltage in critical time (τ) and system impedance in different order to control the dc link voltage capacitor. values of K. Asseen in this figure, as K increases, the system critical time decreases to avoid instability; however, the source current THD decreases. V. FREQUENCY CHARACTERISTIC OF THE SYSTEM Fig. 2. Control circuit of hybrid series active filter. Fig. 5. Harmonic equivalent circuit of single phase System IV. SYSTEM STABILITY ANALYSIS Single phase harmonic equivalent circuit of Fig. 3 shows whole system block diagram. the power system, shown in Fig. 1, is demonstrated in Active filter shows zero impedance against Fig. 5. In this figure, the voltage source harmonics fundamental component of the source current while it are modeled by V sh , is in series with the Thevenin shows high impedance against harmonics. In Fig. 3, impedance (Zs) of the power system. Also, nonlinear analog to digital converters in control circuit give rise load is a diode rectifier by a resistive capacitive load to some delays in system. Also, it takes some time to on its output. This load has usually a voltage source extract harmonic components by the microcontroller. characteristic because an inductor is on rectifier input Assuming all the delays in the system as τ, Fig. 4 and this makes it as a current source type load shows the system control diagram. So, the open-loop characteristic The load is modeled by harmonic transfer function will be as: voltage VLhv in series with inductor LAC. The series 𝐾 active filter behaves as a damping resistor which can G(S)= 𝑒 −𝑠𝜏 (4) eliminate resonance between the parallel passive 𝑆𝐿+𝑍𝐹 filter and the source impedance. It also prevents Eqs. (4) Represents that if τ is zero, the flowing of harmonic currents to the power source by system will always be stable. However, the existence presenting zero impedance at the fundamental of noise is unavoidable. frequency and a high resistance K at the power source or load harmonics. So, the series active filter can be modeled by a resistor, K, and its output reference voltage as: Vaf  KI SH (5) where Ish is the harmonic current flowing from the power source, produced by both the load harmonic current (ILh) and the power source harmonic voltage (VSh). Consequently, from the Fig. 3. Block diagram of the whole system. model shown in Fig. 5, the harmonic current ofthe power source is calculated as: z PF VSH I SH  I LH  (6) Z S  Z PF  K Z S  Z PF  K where Zs and Zpf are power source and passive filter equivalent impedance, respectively. Based on (6), when K is large enough greater than Zs and Zpf, the power source harmonic currents will be equal to zero (ISh=0). In fact, in this case the source impedance (Zs) has no impact on the parallel passive 98 | P a g e
  • 4. Ch. Ravikiran, G.Indira Kishore, Tlsv .Ayya Rao, M. Rambabu / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.096-101 filter characteristic, and the power source current harmonics will completely be eliminated. If the power source voltage harmonics (VSh) is not considered, the load current will be divided between the passive filter and the power source; in this case, the ratio between the power source harmonic current and the load harmonic current is: I SH Z PF  (7) I LH Z S  Z PF  K when the series active filter is used along Fig. 6. Simulated waveforms of compensated system with the passive filter, since the series active filter with passive filter behaves as a damping resistor, there is no resonance in the system. VI. SIMULATION RESULTS AND DISCUSSION Harmonic elimination and reactive power compensation by HSAF is shown in this section through simulation. A HSAF with the process presented above is simulated in MATLAB. In this simulation two single tuned passive filters were used with the parameters given in Table I. Fig. 6 shows the simulation results when the active filter is in off- line mode. The power source current THD (iL) without compensation is calculated about 74 %. Also, in passive filter compensation mode, the THD of the power source current (is) decreases from 74% to about 43 %. Yet, this value has not been below the recommended value in standards such as IEEE 519-1992 [21] and IEC61000 [22]. To decrease the value of the THD, the active filter is emplo-yed with the dc capacitor voltage of 84 V. Fig. 7 shows the simulation results in this case. The THD of the power source current (is) decreases from 43% in off-line active filter mode to about 4.9 % in on-line active filter mode. 99 | P a g e
  • 5. Ch. Ravikiran, G.Indira Kishore, Tlsv .Ayya Rao, M. Rambabu / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.096-101 phase systems. The main advantage of the presented series active filter is that its filter’s power rating is 10% of the load making it a cost-effective solution for high power applications. The performance of the proposed control method is simulated for a HSAF. The simulation results show the effectiveness of the presented method. REFERENCES [1] B. Singh, A. Chandra and K. Al.haddad, ―Hybrid Filters for Power Quality Improvement,‖ IEE Proc. Gener. Transm. Distrib., vol. 152, pp. 365 - 378, no. 3, May 2005. [2] Fang Z. Peng, ―harmonic sources and filtering approaches,‖ IEEE Industry Applications Magazine, vol. 7, pp. 18 – 25, Jul. /Aug. 2001. [3] J. C. Wu and H. J. Jou, ―Simplified control method for single-phase active power filter,‖ Proc. Inst. Elect. Eng., vol. 143, pp. 219 - 224, no. 3, May 1996. [4] H. L. Jou, J. C.Wu, and H. Y. Chu, ―New single-phase active power filter,‖ Proc. Inst. Elect. Eng.—Electr. Power Appl., vol. 141, pp. 129–134, no. 3, May 1994. [5] C. Y. Hsu and H. Y. Wu, ―A new single- phase active power filter with reduced energy-storage capacity,‖ Proc. Inst. Elect. Eng.—Electr. PowerAppl., vol. 143, pp. 25– 30, no. 1, Jan. 1996. [6] J. Barros, E. Perez ,― An Adaptive Method for Determining the Reference Compensating Current in Single-Phase Shunt Active Power Filters,‖ IEEE Trans. Power Del., vol. 18, pp. 1578 – 1580, no. 4, Oct. 2003. [7] M. Karimi-Ghartemani, H. Mokhtari, and M. R. Iravani, ―A signal processing system for extraction of harmonics and reactive current of single phase systems,‖ IEEE Trans. Power Del., vol. 19, pp. 979–986, no. 3, Jul. 2004. [8] M. K. Ghartemani and M. R. Iravani, ―A nonlinear adaptive filter for online signal analysis in power system: application,‖ IEEE Trans. Power Del., vol. 17, pp. 617– 622, no. 2, Apr. 2002. [9] L. Zhou and Z. Li, ―A novel active power filter based on the least compensation current control method,‖ IEEE Trans. Power Elec., vol. 15, pp. 655–659, No. 4, Jul. 2000. Fig. 7. Simulated waveforms of the compensated [10] M. Welsh, P. Mehta, and M. K. Darwish, ―Genetic algorithm and extended analysis VII. CONCLUSION optimization techniques for switched This paper presents a fully digitally capacitor active filters - Comparative study,‖ controlled HSAF for harmonic elimination and Proc. Inst. Elect. Eng.—Electr. Power Appl., reactive power compensation in a single phase vol. 147, pp. 21–26, no. 1, Jan. 2000. system with a control method for series active filter. [11] M. El-Habrouk and M. K. Darwish, ―A new This method is applicable in both single and three control technique for active power filters 100 | P a g e
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