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APPLICATION OF A SHUNT ACTIVE POWER FILTER TO COMPENSATE MULTIPLE NON-LINEAR LOADS
ABSTRACT
In this paper, the implementation of a shunt active power filter with a small series reactor for a three-phase system is presented. The system consists of multiple non-linear loads, which are a combination of harmonic current sources and harmonic voltage sources, with significant unbalanced components. The filter consists of a three-phase current-controlled voltage source inverter (CC-VSI) with a filter inductance at the ac output and a dc-bus capacitor. The CC-VSI is operated to directly control the ac grid current to be sinusoidal and in phase with the grid voltage. The switching is controlled using ramptime current control, which is based on the concept of zero average current error. The simulation results indicate that the filter along with the series reactor is able to handle predominantly the harmonic voltage sources, as well as the unbalance, so that the grid currents are sinusoidal, in phase with the grid voltages and symmetrical.
2. INTRODUCTION
Non-linear loads, especially power electronic loads, create harmonic currents and voltages in the power systems. For many years, various active power filters (APF) have been developed to suppress the harmonics, as well as compensate for reactive power, so that the utility grid will supply sinusoidal voltage and current with unity power factor.
Conventionally, the shunt type APF acts to eliminate the reactive power and harmonic currents produced by non-linear loads from the grid current by injecting compensating currents intended to result in sinusoidal grid current with unity power factor. This filter has been proven to be effective in compensating harmonic current sources, but it cannot properly compensate for harmonic voltage sources. Many electronic appliances, such as switched mode power supplies and electronic ballasts, are harmonic voltage sources. A voltage sourcing series active power filter is suitable for controlling harmonic voltage sources, but it cannot properly compensate for harmonic current sources.
In many cases, non-linear loads consist of combinations of harmonic voltage sources and harmonic current sources, and may contain significant load unbalance (ex. single phase loads on a three phase system). To compensate for these mixed non-linear loads, a combined system of a shunt APF and a series APF can be effective .
In this paper, a combination of a grid current forcing shunt APF with a series reactor installed at the Point of Common Coupling (PCC) is investigated to handle the harmonic and unbalance problems from mixed loads ( Figure 1).

Figure 1. Active Power Filter configuration
3. SHUNT ACTIVE POWER FILTER OPERATION
The three-phase shunt active power filter is a three-phase current controlled voltage source inverter (CC-VSI) with a mid-point earthed, split capacitor in the dc bus and inductors in the ac output .
Conventionally, a shunt APF is controlled in such a way as to inject harmonic and reactive compensation currents based on calculated reference currents. The injected currents are meant to cancel the harmonic and reactive currents drawn by the non-linear loads. However, the reference or desired current to be injected must be determined by extensive calculations with inherent delays, errors and slow transient response.
3.1 Series Inductance
A key component of this system is the added series inductance XL (see Figure 2), which is comparable in size to the effective grid impedance, ZS. Without this inductance (or a series active filter), load harmonic voltage sources would produce harmonic currents
through the grid impedance, which could not be compensated by a shunt APF. Currents from the APF do not significantly change the harmonic voltage at the loads. Therefore,
there are still harmonic voltages across the grid impedance, which continue to produce harmonic currents..
3.2 Direct Control of the Grid Current
In this scheme (see Figure 1), the CC-VSI is operated to directly control the ac grid current rather than itâ„¢s own current. The grid current is sensed and directly controlled to follow symmetrical sinusoidal reference signals in phase with the grid voltage. Hence, by putting the current sensors on the grid side, the grid current is forced to behave as a sinusoidal current source and the grid appears as a high-impedance circuit for harmonics. By forcing the grid current to be sinusoidal, the APF automatically provides the harmonic, reactive, negative and zero sequence currents for the load, following the basic current summation rule:
igrid = iAPF + i load
The sinusoidal grid current reference signal is given by:
iref = k vgrid-1
where vgrid-1 is the fundamental component of the grid voltage, and k is obtained from
an outer control loop regulating the CC-VSI dc-bus voltage.

Figure 2. Circuit equivalent for harmonics
3.3 Ramp time Current Control
The performance and the effectiveness of the filter are enhanced by the use of the ramp time current control technique to control the CC-VSI. The principle operation of ramp time current control is based on the concept of zero average current error (ZACE). In this application, the current error signal is the difference between the actual grid current and the desired/reference grid current waveform.
4. A SHUNT ACTIVE POWER FILTER WITH HARMONIC VOLTAGE SOURCING LOADS
4.1 Compensation for Harmonic Voltage Sources
To show a compensation for harmonic voltage sources, a simulation was conducted using circuit constants from the literature based on a three-phase ac system with a grid voltage of 400V-50Hz, a 60kW diode rectifier load with dc filter capacitor, a filter inductance (Linv) of 0.45mH (5.3%), ZS of 1.8%, and XL of 1.8%, without a high frequency filter. The circuit equivalent from the harmonic point of view is shown in Figure 2.
The three-phase shunt APF successfully forces sinusoidal current from the grid, as shown in Figure 3(a) and 3(b). In doing this, the APF compensates the harmonic voltages because the load harmonic voltage in Figure 3© appears across XL in Figure 3(d). These same harmonic voltages appear in the inverter voltage in Figure 3(e) and across the inverter inductance in Figure 3(f). Thus, the load harmonic voltages do not appear across ZS and load harmonic currents are not created through this grid impedance. Also, assuming the grid voltage harmonics are negligible, the ac grid voltage at the PCC will be sinusoidal.
Figure 4 shows that when XL is reduced to 0.5%, the filter cannot suppress the harmonics properly, so that the grid currents are still distorted and contain significant amount of harmonics. The load harmonic voltage cannot be removed completely by the harmonic voltage on XL, because the inverter cannot produce sufficient harmonic voltage to compensate load harmonic voltage. Then, harmonic voltages still occur across grid impedance. As a result, the inverter loses its controllability; and the compensation by the active filter cannot be accomplished.
4.2 Series Inductance XL
There are several ways to determine the size of XL. It is suggested that the minimum value of XL is 6%. The XL is used for a different purpose and not related to harmonic voltage type loads.
The practical choice of XL is that it should be as small as possible to minimize cost. Furthermore, if the APF can directly force the grid current to be sinusoidal, the voltage at the PCC will have similar characteristics to the grid (except very small fundamental voltage drop and very small phase shift). In order to make the loads operate in the similar operating point to which they were connected directly to the grid, then the size of XL should be chosen close to ZS XS in per-unit value (usually the resistance of the grid impedance is very small compared to its inductance).
From the above simulation, it is proven that with the XL = 1.8%, the compensation is successful. The value of XL could be lower than 1.8% provided that minimum di/dt of Linv exceeds the maximum di/dt permitted by the inductance XL. Otherwise, the value of Linv has to be reduced. However, decreasing the Linv will increase the high switching frequency ripple in the ac grid currents.
Fig.3 Simulation results for XL=1.8% a)I grid b)I grid spectrum
Figure 3. Simulation results for XL = 1.8%; © spectrum of V load harmonics,
(d) V on XL, (e) V output CC-VSI, (f) V on filter inductance, (g) V at PCC
5. A THREE-PHASE SHUNT ACTIVE POWER FILTER WITH MULTIPLE NON-LINEAR LOADS
By directly controlling the grid current, a three-phase shunt APF can be provided for all non-linear loads at the PCC instead of compensating each load individually. The system is simpler and more efficient because only one current sensor for each phase is located in the grid side.
Figure 4. Simulation results for XL = 0.5% ; (a) Igrid, (b) Igrid spectrum


Figure 4. Simulation results for XL = 0.5%; © spectrum of V load harmonics,
(d) V on XL, (e) V output CC-VSI, (f) V on filter inductance, (g) V at PCC
From the preceding explanation, the shunt APF with a series reactor can compensate the harmonic voltage sources in the loads. This filter combination can also succeed for harmonic current sources. In this case, the reactor will function to limit the slope of the falling and rising edges of the load current . For mixed loads, it is practical to provide a series reactor for total loads. The reactor is installed at the PCC and integrated with the APF. The size can be chosen for the possible maximum power of harmonic voltage sources.
A three-phase shunt APF has been proven for balanced loads. However, the system may contain significant amounts of load unbalance as in commercial buildings with non-linear single- phase computer type loads. Such loads produce large negative sequence and harmonic currents. Hence, the filter has to inject the inverse of the negative sequence current to balance the unbalanced loads. The shunt APF discussed previously has the ability to balance the asymmetrical current. This is because the CC-VSI is operated to directly control the ac grid current to follow a three-phase balanced sinusoidal reference signal without measuring and determining the negative sequence component. Once the grid currents are able to follow the reference signal, the inverter creates the inverse of the negative sequence currents automatically. At the PCC, all three currents are potentially accessible to be directly controlled by the CC-VSI.
5.1 Mixed-Type Harmonic Sources And Unbalanced loads
Figures 6 and 7 show results with several non-linear loads to demonstrate the validity of the filter. In Figure 6, the shunt active power filter combined with the series reactor is able to successfully compensate the total mixed loads that produce harmonic and unbalanced currents. The grid currents become sinusoidal and in phase with the grid voltage. The magnitude is determined by the active power required by the system.
Furthermore, the grid currents are symmetrical in magnitude and phase. These currents are balanced because the CC-VSI is able to generate three different currents for each phase. For each phase, the current controller is able to force the average current error, which is the difference between the reference signal and the actual current to be zero. Then, the individual phase current can follow its reference signal closely. From Figure 7, it is obvious that phase B of the inverter current is not the same as other two phases, since the single-phase load is connected between phase A and C. Hence, the inverter not only generates harmonics to eliminate the load harmonics but also provide balancing to create the symmetrical grid currents.
Fig.5 3-Ph. Load currents Fig.6 3-Ph. Currents after compensation


Figure 7. Three-phase output currents of the CC-VSI
5.2 DC Bus
Figure 8 shows the simulation results of the dynamic condition of the dc-bus voltage. It can be seen that the dc-capacitor voltage is decreased when the load is increased. This is because the active power demanded by the load is higher than that supplied from the grid. The dc-bus has to provide the active power to fulfill the power balance.

Figure 8. Dynamic state of dc-bus when the load is changing; upper graph: load and grid currents - phase A; lower graph: dc-bus voltage
Once the transient interval is finished, the dc-bus voltage is recovered and remains at the reference voltage “ 800V (by using a PI controller), and the magnitude of the grid active currents is fixed at a designated value. At this time, the total active power demanded by the load is supplied from the grid, because the active power filter only supplies the reactive power.
This same process will occur when the load is decreased. In this case, the dc-capacitor voltage will increase in a transient state. Hence, the dc bus capacitor must be sized not only to minimize the ripple but also to provide maximum expected power unbalance until the PI loop again achieves steady state. The above result shows that the amplitude of the grid currents is regulated directly by controlling the dc bus voltage, and the calculation process of the grid current amplitude can be eliminated. Figure 8 also shows that the dc-bus contains a ripple voltage at the second harmonic frequency since the system has a single-phase diode rectifier load.
6. CONCLUSION
This paper proposes the implementation of a three-phase active power filter together with a decoupling reactor in series with the load operated to directly control the ac grid current to be sinusoidal and in phase with the grid voltage. From the simulation results, this system provides unity power factor operation of non-linear loads with harmonic current sources, harmonic voltage sources, reactive, and unbalanced components.
7.REFERENCES
1. Power Electronics , P.C.Sen , 2000n.d
2. Network theory and filter design, Vasudev K Atre, 1998 n.d, Wiley Eastern
3. M.El-Habrouk, M.K Darwish and P.Mehta , Active Power Filter : A Review , IEEE Proc. Electric Power Appl. , Sept 2000
4. B.Singh, K.Al-Haddad and A.Chandra, A Review of Active Filter for Power Quality Improvements , IEEE Trans. On Industrial Electronics, Feb. 1999
TABLE OF CONTENTS:
1.ABSTRACT
2.INTRODUCTION
3.SHUNT ACTIVE POWER FILTER OPERATION
3.1 Series Inductance
3.2 Direct Control of the Grid Current
3.3 Ramp time Current Control
4. A SHUNT ACTIVE POWER FILTER WITH HARMONIC VOLTAGE
SOURCING LOADS
4.1 Compensation for Harmonic Voltage Sources
4.2 Series Inductance XL
5. A THREE-PHASE SHUNT ACTIVE POWER FILTER WITH MULTIPLE
NON-LINEAR LOADS
5.1 Mixed-Type Harmonic Sources And Unbalanced loads
5.2 DC Bus
6. CONCLUSION
7. REFERENCES
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01-03-2011, 03:27 PM


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APPLICATION OF A SHUNT ACTIVE POWER FILTER TO COMPENSATE MULTIPLE NON-LINEAR LOADS
ABSTRACT

In this project and implimentation, the implementation of a shunt active power filter with a small series reactor for a three-phase system is presented. The system consists of multiple non-linear loads, which are a combination of harmonic current sources and harmonic voltage sources, with significant unbalanced components. The filter consists of a three-phase current-controlled voltage source inverter (CC-VSI) with a filter inductance at the ac output and a dc-bus capacitor. The CC-VSI is operated to directly control the ac grid current to be sinusoidal and in phase with the grid voltage. The switching is controlled using ramptime current control, which is based on the concept of zero average current error. The simulation results indicate that the filter along with the series reactor is able to handle predominantly the harmonic voltage sources, as well as the unbalance, so that the grid currents are sinusoidal, in phase with the grid voltages and symmetrical.
2. INTRODUCTION
Non-linear loads, especially power electronic loads, create harmonic currents and voltages in the power systems. For many years, various active power filters (APF) have been developed to suppress the harmonics, as well as compensate for reactive power, so that the utility grid will supply sinusoidal voltage and current with unity power factor.
Conventionally, the shunt type APF acts to eliminate the reactive power and harmonic currents produced by non-linear loads from the grid current by injecting compensating currents intended to result in sinusoidal grid current with unity power factor. This filter has been proven to be effective in compensating harmonic current sources, but it cannot properly compensate for harmonic voltage sources. Many electronic appliances, such as switched mode power supplies and electronic ballasts, are harmonic voltage sources. A voltage sourcing series active power filter is suitable for controlling harmonic voltage sources, but it cannot properly compensate for harmonic current sources.
In many cases, non-linear loads consist of combinations of harmonic voltage sources and harmonic current sources, and may contain significant load unbalance (ex. single phase loads on a three phase system). To compensate for these mixed non-linear loads, a combined system of a shunt APF and a series APF can be effective .
In this paper, a combination of a grid current forcing shunt APF with a series reactor installed at the Point of Common Coupling (PCC) is investigated to handle the harmonic and unbalance problems from mixed loads 3. SHUNT ACTIVE POWER FILTER OPERATION
The three-phase shunt active power filter is a three-phase current controlled “voltage source inverter” (CC-VSI) with a mid-point earthed, split capacitor in the dc bus and inductors in the ac output .
Conventionally, a shunt APF is controlled in such a way as to inject harmonic and reactive compensation currents based on calculated reference currents. The injected currents are meant to “cancel” the harmonic and reactive currents drawn by the non-linear loads. However, the reference or desired current to be injected must be determined by extensive calculations with inherent delays, errors and slow transient response.
3.1 Series Inductance
A key component of this system is the added series inductance XL (see Figure 2), which is comparable in size to the effective grid impedance, ZS. Without this inductance (or a series active filter), load harmonic voltage sources would produce harmonic currents
through the grid impedance, which could not be compensated by a shunt APF. Currents from the APF do not significantly change the harmonic voltage at the loads. Therefore,
there are still harmonic voltages across the grid impedance, which continue to produce harmonic currents..
3.2 Direct Control of the Grid Current
In this scheme (see Figure 1), the CC-VSI is operated to directly control the ac grid current rather than it’s own current. The grid current is sensed and directly controlled to follow symmetrical sinusoidal reference signals in phase with the grid voltage. Hence, by putting the current sensors on the grid side, the grid current is forced to behave as a sinusoidal current source and the grid appears as a high-impedance circuit for harmonics. By forcing the grid current to be sinusoidal, the APF automatically provides the harmonic, reactive, negative and zero sequence currents for the load, following the basic current summation rule:
igrid = iAPF + i load
The sinusoidal grid current reference signal is given by:
iref = k vgrid-1
where vgrid-1 is the fundamental component of the grid voltage, and k is obtained from
an outer control loop regulating the CC-VSI dc-bus voltage.
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