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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 10 | Oct-2013, Available @ http://www.ijret.org 61
UNITY POWER FACTOR CONTROL BY PWM RECTIFIER
Imran syed1
, M. Bala Subba Reddy2
, K. Hari Babu3
1
M.Tech Scholar (P.E), 2
Professor & H.O.D, 3
Professor&Vice Principal, Department of EEE
Prakasam Engineering College, Kandukur, Prakasam Dist, AP, INDIA
Abstract
This paper analyzes the principle of PWM rectifier and presents a unity power factor control method of PWM rectifier. Controller
used double closed-loop PI control, which inner uses three-phase input current control method controlled by unity power factor and
outer controls the output DC voltage of rectifier. Voltage phase detection methods which proposed could eliminate the affection of the
voltage harmonics on phase detection accuracy. The result of the simulation and experiment verify the feasibility and effectiveness of
the method.
Keywords- PWM, rectifier, unity power factor, filter
--------------------------------------------------------------------***--------------------------------------------------------------------------
1. INTRODUCTION
Since the rectifier consisted of diode or thyristor is easy to
control and reliable, it is widely used in industry. However, the
input current of this rectifier contains a large number of
harmonics, which has become to the main source of grid. In
addition, this rectifier also has the issue about low power
factor. PWM rectifier does not produce harmonics on the grid,
while the input power factor can be controlled and the output
DC voltage can be adjustable, is a high performance fairing. In
this paper, a PWM rectifier is studied, which focus on a unity
power factor control method. The result of the simulation and
experiment show the feasibility and effectiveness of the
method [1].
2. PWM RECTIFIER AND ITS UNITY POWER
FACTOR CONTROL METHOD SELECTING A
TEMPLATE
Figure 1 shows the structure of the PWM rectifier. ea (t), eb (t),
ec (t) is the three phase voltages. L is the support filtering
inductance of the AC side voltage. R is the equivalent
resistance of the system. C is the support capacitance of the
DC side voltage.
Fig.1 The structure of the PWM rectifier
When the load force eL
is zero or less than the DC voltage
across the capacitor, the DC side is a purely resistive load and
the rectifier operates in the rectifier mode. When the load
force
eL
is greater than the DC voltage across the capacitor; the
rectifier operates in active inverter mode.
Figure 2 shows the direct power control method block diagram
of the PWM rectifier. Controller used double closed-loop PI
control, which inner uses three-phase input current control
method controlled by unity power factor and outer controls the
output DC voltage of rectifier, to control the power of the
rectifier.
Fig.2 The direct power control method block diagram of the
PWM rectifier
This control method of the control system is implemented as
follows:
1).Detection the instantaneous fundamental component of the
voltage and current. Using the second-order Butterworth
digital filtering algorithm of equation 1, the amplitude, phase
and frequency characteristics of this filter is shown in figure 3.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 10 | Oct-2013, Available @ http://www.ijret.org 62
Fig.3 The amplitude, phase and frequency characteristics of
Butterworth band-pass filter
From which we can see, amplitude of the fundamental
component part of the signal does not decay, the phase does
not shift, which on the basis of ensuring filters the DC
component of the input signal and high harmonics.
G
1 =
0.001915 z
−1
− 0.001971z
−2
− 0.0018033948 z
−3
0.001859 z
−4
(1)1− 3.903z −1 + 5.722 z − 2 − 3.734 z − 3 + 0.915z − 4
The sampling frequency of the discrete formula is 5000Hz, and
filter quality factor of the design is 1 [3].
2) Calculate the instantaneous active power and reactive
power. Obtain the input active power and reactive power via
the calculation of equation 2 and equation 3.
p = Ua * Ia + Ub * Ib + Uc * Ic (2)
q=((Ua − Ub) * Ia +(Ub − Uc)* Ib +(Uc − Ua) *
Ic) / 3 (3)
3) Calculate the average active power, reactive power and DC
voltage in each cycle. Using the average formula of equation 4
to obtain the input active power, reactive power and dc
capacitor voltage of the rectifier
100
X =∑ X i i =1,2 ... 100 X = p , q , vdc (4)
1
4) For reactive power q, the use of the inner PI control
algorithm make the input reactive power of the rectifier is zero,
which achieve the unity power factor input. The block diagram
to achieve the inner PI control algorithm is shown in Figure 4.
δ
Fig.4 The inner loop PI controller of power factor
5) For the DC voltage across the capacitor, use of the outer PI
control algorithm and adjust the output DC voltage across the
capacitor of the rectifier, thus control the output power. The
block diagram to achieve the outer PI control algorithm is
shown in Figure 5 [4].
M
Fig.5 The outer loop PI controller of power
6) Obtain the real-time phase of the grid. The three-phase
fundamental voltage obtained in Step 1) can obtain the real-
time phase information of the grid by using formula 5, formula
6 and formula 7.
u α = u a−0.5 * u b − 0.5 * uc (5)
u β =− 0 .86 * ub − 0 .65 * uc (6)
θ= arctan(
u
α
) (7)
u β
7) Obtain the three-phase output current reference value. Use
formula 8 to obtain the three-phase output current reference
value.
ia M * sin(θ δ)
ib M * sin(θ δ−120 ) (8)
ic M * sin(θ δ 120 )
The output of PWM signal Switch the output current reference
value of rectifier to the switching time of each switch
device[5].
3. THE SIMULATION AND EXPERIMENTAL
VERIFICATION OF PWM RECTIFIER SYSTEM
AND ITS RESULTS ANALYSIS
Design the control system strategies of verification and the
method to achieve unity power factor in 30KVA rectifier. The
main parameter of the rectifier system is shown in Table 1:
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 10 | Oct-2013, Available @ http://www.ijret.org 63
Table 1: The Parameters of the Rectifier System
Building a PWM rectifier simulation system in
MATLAB/SIMULINK Figure 6 shows the input voltage, input
current and output voltage waveform when the rectifier works
in rectifying mode.
1
Ua
Ia
Vdc0.5
0
-0.5
-1
0.1 0.12 0.14 0.16 0.18 0.2 0.22 0.24 0.26 0.28 0.3
Fig.6 The input voltage, input current and output voltage
waveform when the rectifier work in rectifying mode
In the 0.2s, rectifier load suddenly increased from 50% rated
load to 100% rated load, rectifier input current adjusted to the
steady state point after half a cycle, rectifier output voltage
resumed a given rated voltage after about two cycles. In the
process of the steady state and dynamic adjustment, the input
voltage of PWM rectifier are kept in phase with the output
current and the input power factor maintained to 1.
Figure 7 shows the input voltage, input current and output
voltage waveform when the rectifier works in the inverter
energy feedback mode.
Fig.7 The input voltage, input current and output voltage
waveform when the rectifier work in the inverter energy
feedback mode
In the case of the maximum feedback voltage of 1280V, in the
0.4s, rectifier load suddenly increased from 50% rated load to
100% rated load, rectifier input current adjusted to the steady
state point after half a cycle, rectifier output voltage resumed a
given rated voltage after about two cycles. In the process of
the steady state and dynamic adjustment, the input voltage of
PWM rectifier are kept phase contrast with the output current
and the input power factor maintained to 1.
Figure 8 shows the input voltage, input current and output
voltage waveform when the rectifier switches from rectifying
mode to inverter mode.
Fig.8 The input voltage, input current and output voltage
waveform in the rectify switching time
In the 0.46s, rectifier switches automatically from the
rectifying mode to inverter mode, rectifier input current
switches from the rectifying steady state to the inverter
feedback steady state after about two and a half cycle, rectifier
output voltage returns to a given rated voltage after about three
cycles. In the process of the steady state and dynamic
adjustment, In addition to the half-power cycles when rectifier
switches from the rectifying mode to inverter mode, the PWM
rectifier input power factor maintained to 1.
Using STM32F103C8, ARM-M3 core 32-bit MCU, as the
core control chip build the experimental system to verify the
control strategy and unity power factor control method.
Figure 9 shows the instantaneous input voltage and input
current waveform collected by Hioki 3196 power quality
analyzer when the rectifier working in the rectifying mode.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 10 | Oct-2013, Available @ http://www.ijret.org 64
Fig.9 The instantaneous input voltage and input current of
rectifier
Figure 10 shows the input line-voltage Uab and input line-
current Ia waveform collected by Tektronix tps2024
oscilloscope when rectifier switches from diode rectifying to
PWM rectifier. There into, Uab stays ahead of Ia 30 degree
and input power factor is 1.
Fig.10 The input voltage and input current waveform when the
rectifier works in rectifying mode
Figure 11 shows the input line-voltage Uab and input line-
current Ia waveform when the PWM rectifier works in the
inverter energy feedback mode. There into, Uab lags behind Ia
150 degree and input power factor is -1.
Fig.11 The input voltage and input current waveform when the
rectifier works in the inverter mode
Operating parameters when rectifier has different load
conditions are shown in Table 2. There into, the maximum
load is 2kW.
Table 2 Rectifier Operating State
Resistance 150 200 300 600 900 2000
Uab 309.4 310.9 312.5 311.0 311.0 314.5
Ubc 309.8 311.8 314.9 311.3 310.0 313.3
Uca 309.4 310.4 313.3 312.0 310.0 313.2
Ia 3.59 2.40 1.54 0.77 0.53 0.27
Ib 3.72 2.49 1.60 0.81 0.55 0.28
Ic 3.96 2.65 1.70 0.88 0.59 0.30
Pin 2010 1355 879 444 301 154
PF 0.998 0.999 0.998 0.997 0.997 0.997
Vdc 536 515 511 508 506 518
Pout 1915 1326 870 430 284 134
THDIa% 1.46 1.69 2.43 4.01 5.57 10.06
THDIb% 1.41 1.60 2.23 3.72 5.09 9.27
THDIc% 1.81 1.96 2.47 3.98 5.27 8.56
Load % 100 67.7 43.5 22.2 15.1 7.7
Efficiency % 95.27 97.85 99.1 96.84 94.35 87.01
The table shows that in most of the load, the three-phase input
current of rectifier are basically equation, less harmonic
distortion and the conversion efficiency of rectifier is over
90%. In the case of any load, the input power factor of
rectifier are greater than 0.995, indicating that using the unit
power factor achieve method is feasible and effective.
CONCLUSIONS
This paper analyzes the principle of PWM rectifier, and
presents a input unity power factor control method of PWM
rectifier. The result of the simulation and experiment verify
the feasibility and effectiveness of the method.
ACKNOWLEDGMENTS
This research was supported by Shaanxi provincial project of
special foundation.
REFERENCES
[1] The Research and Development of the High
Performance Dual PWM AC Drives. PhD thesis. 1997
[2] Zhang Chongwei, Zhang Xing. PWM Rectifier and its
Control. Beijing Mechanical Industry Press. 2003.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 10 | Oct-2013, Available @ http://www.ijret.org 65
[3] Wang Zhaoan, Zhang Mingxun, Power Electronic
Equipment Design and Application Manual [M].Beijing
Mechanical Industry Press. 2002:675-676.
[4] Wang Jiuhe. The Non-linear Control of Voltage-type
PWM rectifier. Mechanical Industry Press. 2008.
[5] Study of the Control Techniques of System Waveform
of High Power and High Frequency PWM Reversible
Rectifier. PhD thesis. Huazhong University of Science
and Technology, 1997

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Unity Power Factor Control of PWM Rectifier

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 10 | Oct-2013, Available @ http://www.ijret.org 61 UNITY POWER FACTOR CONTROL BY PWM RECTIFIER Imran syed1 , M. Bala Subba Reddy2 , K. Hari Babu3 1 M.Tech Scholar (P.E), 2 Professor & H.O.D, 3 Professor&Vice Principal, Department of EEE Prakasam Engineering College, Kandukur, Prakasam Dist, AP, INDIA Abstract This paper analyzes the principle of PWM rectifier and presents a unity power factor control method of PWM rectifier. Controller used double closed-loop PI control, which inner uses three-phase input current control method controlled by unity power factor and outer controls the output DC voltage of rectifier. Voltage phase detection methods which proposed could eliminate the affection of the voltage harmonics on phase detection accuracy. The result of the simulation and experiment verify the feasibility and effectiveness of the method. Keywords- PWM, rectifier, unity power factor, filter --------------------------------------------------------------------***-------------------------------------------------------------------------- 1. INTRODUCTION Since the rectifier consisted of diode or thyristor is easy to control and reliable, it is widely used in industry. However, the input current of this rectifier contains a large number of harmonics, which has become to the main source of grid. In addition, this rectifier also has the issue about low power factor. PWM rectifier does not produce harmonics on the grid, while the input power factor can be controlled and the output DC voltage can be adjustable, is a high performance fairing. In this paper, a PWM rectifier is studied, which focus on a unity power factor control method. The result of the simulation and experiment show the feasibility and effectiveness of the method [1]. 2. PWM RECTIFIER AND ITS UNITY POWER FACTOR CONTROL METHOD SELECTING A TEMPLATE Figure 1 shows the structure of the PWM rectifier. ea (t), eb (t), ec (t) is the three phase voltages. L is the support filtering inductance of the AC side voltage. R is the equivalent resistance of the system. C is the support capacitance of the DC side voltage. Fig.1 The structure of the PWM rectifier When the load force eL is zero or less than the DC voltage across the capacitor, the DC side is a purely resistive load and the rectifier operates in the rectifier mode. When the load force eL is greater than the DC voltage across the capacitor; the rectifier operates in active inverter mode. Figure 2 shows the direct power control method block diagram of the PWM rectifier. Controller used double closed-loop PI control, which inner uses three-phase input current control method controlled by unity power factor and outer controls the output DC voltage of rectifier, to control the power of the rectifier. Fig.2 The direct power control method block diagram of the PWM rectifier This control method of the control system is implemented as follows: 1).Detection the instantaneous fundamental component of the voltage and current. Using the second-order Butterworth digital filtering algorithm of equation 1, the amplitude, phase and frequency characteristics of this filter is shown in figure 3.
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 10 | Oct-2013, Available @ http://www.ijret.org 62 Fig.3 The amplitude, phase and frequency characteristics of Butterworth band-pass filter From which we can see, amplitude of the fundamental component part of the signal does not decay, the phase does not shift, which on the basis of ensuring filters the DC component of the input signal and high harmonics. G 1 = 0.001915 z −1 − 0.001971z −2 − 0.0018033948 z −3 0.001859 z −4 (1)1− 3.903z −1 + 5.722 z − 2 − 3.734 z − 3 + 0.915z − 4 The sampling frequency of the discrete formula is 5000Hz, and filter quality factor of the design is 1 [3]. 2) Calculate the instantaneous active power and reactive power. Obtain the input active power and reactive power via the calculation of equation 2 and equation 3. p = Ua * Ia + Ub * Ib + Uc * Ic (2) q=((Ua − Ub) * Ia +(Ub − Uc)* Ib +(Uc − Ua) * Ic) / 3 (3) 3) Calculate the average active power, reactive power and DC voltage in each cycle. Using the average formula of equation 4 to obtain the input active power, reactive power and dc capacitor voltage of the rectifier 100 X =∑ X i i =1,2 ... 100 X = p , q , vdc (4) 1 4) For reactive power q, the use of the inner PI control algorithm make the input reactive power of the rectifier is zero, which achieve the unity power factor input. The block diagram to achieve the inner PI control algorithm is shown in Figure 4. δ Fig.4 The inner loop PI controller of power factor 5) For the DC voltage across the capacitor, use of the outer PI control algorithm and adjust the output DC voltage across the capacitor of the rectifier, thus control the output power. The block diagram to achieve the outer PI control algorithm is shown in Figure 5 [4]. M Fig.5 The outer loop PI controller of power 6) Obtain the real-time phase of the grid. The three-phase fundamental voltage obtained in Step 1) can obtain the real- time phase information of the grid by using formula 5, formula 6 and formula 7. u α = u a−0.5 * u b − 0.5 * uc (5) u β =− 0 .86 * ub − 0 .65 * uc (6) θ= arctan( u α ) (7) u β 7) Obtain the three-phase output current reference value. Use formula 8 to obtain the three-phase output current reference value. ia M * sin(θ δ) ib M * sin(θ δ−120 ) (8) ic M * sin(θ δ 120 ) The output of PWM signal Switch the output current reference value of rectifier to the switching time of each switch device[5]. 3. THE SIMULATION AND EXPERIMENTAL VERIFICATION OF PWM RECTIFIER SYSTEM AND ITS RESULTS ANALYSIS Design the control system strategies of verification and the method to achieve unity power factor in 30KVA rectifier. The main parameter of the rectifier system is shown in Table 1:
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 10 | Oct-2013, Available @ http://www.ijret.org 63 Table 1: The Parameters of the Rectifier System Building a PWM rectifier simulation system in MATLAB/SIMULINK Figure 6 shows the input voltage, input current and output voltage waveform when the rectifier works in rectifying mode. 1 Ua Ia Vdc0.5 0 -0.5 -1 0.1 0.12 0.14 0.16 0.18 0.2 0.22 0.24 0.26 0.28 0.3 Fig.6 The input voltage, input current and output voltage waveform when the rectifier work in rectifying mode In the 0.2s, rectifier load suddenly increased from 50% rated load to 100% rated load, rectifier input current adjusted to the steady state point after half a cycle, rectifier output voltage resumed a given rated voltage after about two cycles. In the process of the steady state and dynamic adjustment, the input voltage of PWM rectifier are kept in phase with the output current and the input power factor maintained to 1. Figure 7 shows the input voltage, input current and output voltage waveform when the rectifier works in the inverter energy feedback mode. Fig.7 The input voltage, input current and output voltage waveform when the rectifier work in the inverter energy feedback mode In the case of the maximum feedback voltage of 1280V, in the 0.4s, rectifier load suddenly increased from 50% rated load to 100% rated load, rectifier input current adjusted to the steady state point after half a cycle, rectifier output voltage resumed a given rated voltage after about two cycles. In the process of the steady state and dynamic adjustment, the input voltage of PWM rectifier are kept phase contrast with the output current and the input power factor maintained to 1. Figure 8 shows the input voltage, input current and output voltage waveform when the rectifier switches from rectifying mode to inverter mode. Fig.8 The input voltage, input current and output voltage waveform in the rectify switching time In the 0.46s, rectifier switches automatically from the rectifying mode to inverter mode, rectifier input current switches from the rectifying steady state to the inverter feedback steady state after about two and a half cycle, rectifier output voltage returns to a given rated voltage after about three cycles. In the process of the steady state and dynamic adjustment, In addition to the half-power cycles when rectifier switches from the rectifying mode to inverter mode, the PWM rectifier input power factor maintained to 1. Using STM32F103C8, ARM-M3 core 32-bit MCU, as the core control chip build the experimental system to verify the control strategy and unity power factor control method. Figure 9 shows the instantaneous input voltage and input current waveform collected by Hioki 3196 power quality analyzer when the rectifier working in the rectifying mode.
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 10 | Oct-2013, Available @ http://www.ijret.org 64 Fig.9 The instantaneous input voltage and input current of rectifier Figure 10 shows the input line-voltage Uab and input line- current Ia waveform collected by Tektronix tps2024 oscilloscope when rectifier switches from diode rectifying to PWM rectifier. There into, Uab stays ahead of Ia 30 degree and input power factor is 1. Fig.10 The input voltage and input current waveform when the rectifier works in rectifying mode Figure 11 shows the input line-voltage Uab and input line- current Ia waveform when the PWM rectifier works in the inverter energy feedback mode. There into, Uab lags behind Ia 150 degree and input power factor is -1. Fig.11 The input voltage and input current waveform when the rectifier works in the inverter mode Operating parameters when rectifier has different load conditions are shown in Table 2. There into, the maximum load is 2kW. Table 2 Rectifier Operating State Resistance 150 200 300 600 900 2000 Uab 309.4 310.9 312.5 311.0 311.0 314.5 Ubc 309.8 311.8 314.9 311.3 310.0 313.3 Uca 309.4 310.4 313.3 312.0 310.0 313.2 Ia 3.59 2.40 1.54 0.77 0.53 0.27 Ib 3.72 2.49 1.60 0.81 0.55 0.28 Ic 3.96 2.65 1.70 0.88 0.59 0.30 Pin 2010 1355 879 444 301 154 PF 0.998 0.999 0.998 0.997 0.997 0.997 Vdc 536 515 511 508 506 518 Pout 1915 1326 870 430 284 134 THDIa% 1.46 1.69 2.43 4.01 5.57 10.06 THDIb% 1.41 1.60 2.23 3.72 5.09 9.27 THDIc% 1.81 1.96 2.47 3.98 5.27 8.56 Load % 100 67.7 43.5 22.2 15.1 7.7 Efficiency % 95.27 97.85 99.1 96.84 94.35 87.01 The table shows that in most of the load, the three-phase input current of rectifier are basically equation, less harmonic distortion and the conversion efficiency of rectifier is over 90%. In the case of any load, the input power factor of rectifier are greater than 0.995, indicating that using the unit power factor achieve method is feasible and effective. CONCLUSIONS This paper analyzes the principle of PWM rectifier, and presents a input unity power factor control method of PWM rectifier. The result of the simulation and experiment verify the feasibility and effectiveness of the method. ACKNOWLEDGMENTS This research was supported by Shaanxi provincial project of special foundation. REFERENCES [1] The Research and Development of the High Performance Dual PWM AC Drives. PhD thesis. 1997 [2] Zhang Chongwei, Zhang Xing. PWM Rectifier and its Control. Beijing Mechanical Industry Press. 2003.
  • 5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 10 | Oct-2013, Available @ http://www.ijret.org 65 [3] Wang Zhaoan, Zhang Mingxun, Power Electronic Equipment Design and Application Manual [M].Beijing Mechanical Industry Press. 2002:675-676. [4] Wang Jiuhe. The Non-linear Control of Voltage-type PWM rectifier. Mechanical Industry Press. 2008. [5] Study of the Control Techniques of System Waveform of High Power and High Frequency PWM Reversible Rectifier. PhD thesis. Huazhong University of Science and Technology, 1997