MODELING, ANALYSIS AND SIMULATION OF POLY-PHASE BOOST CONVERTER
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The document discusses the design and simulation of a poly-phase boost converter that mitigates input ripple current and output ripple voltage issues. The analysis includes four-phase operation with independent current control loops and the use of MATLAB Simulink for waveform observation. Results indicate that the poly-phase configuration can maintain the same overall size as a single converter while improving efficiency and reducing component stress.
![IJSRD - International Journal for Scientific Research & Development| Vol. 2, Issue 09, 2014 | ISSN (online): 2321-0613
All rights reserved by www.ijsrd.com 138
Modeling, Analysis and Simulation of Poly-Phase Boost Converter
Abhishek Kumar1
Gajendra Singh Rawat2
Rituraj Singh Thakur3
1,2
Assistant Professor 3
M.Tech(Power System and Electric drives)
1,2
Electrical Department
1,2
Faculty of Engg. & Technology, Gurukula Kangri Vishwavidyalaya 3
Disha Institute of Management
and Technology
Abstract— The objective of this paper is to design Poly-
phase boost converter which overcomes the problem of high
input ripple current and output ripple voltage Digital control
is more convenient for such a topology on account of the
requirement of synchronization , phase shift operation ,
current balancing etc. This paper deals on analysis and
implementation of four phase boost converter, each is a
35W unit and switched at 100 KHz. The waveforms are
observed using MATLAB Simulink.
Key words: Boost Converter, Capacitor
I. INTRODUCTION
A. Overview
The poly-phase operation of boost converter to overcome
the disadvantages of large size storage capacitor in boost
converter and off-line UPF rectifiers and a small signal
analysis of N converters in parallel to an equivalent second
order system in such converters.
During the on state of the switch, the capacitor has
to supply the load current in the boost converter and this
discontinuity of current in the capacitor increases the rms
value of current and also increases the amount of capacitor
which is needed for correct operation of the circuit and
therefore it results in more dissipation due to ESR of
capacitor. In standard designs it is not uncommon to see
tank capacitors one or two orders of magnitude higher than
the ideally required capacitance A way to overcome this
problem is using poly-phase operation with appropriate
phase shift in the control circuit of main switches.
II.
A. Boost Converter
A boost converter regulates the average output voltage at a
level higher than the input or source voltage. For this reason
the boost converter is often referred to as a step-up converter
or regulator. The DC input voltage is in series with a large
inductor acting as a current source. A switch in parallel with
the current source and the output is turned off periodically,
providing energy from the inductor and the source to
increase the average output voltage. The boost converter is
commonly used in regulated DC power supplies and
regenerative braking of DC motors.
III.
A. Poly-phase operation
In poly-phase boost converter each stage has an independent
current mode control loop, which uses the same reference
current. The reference current in turn is generated by the
outer voltage control loop. For correct operation of poly-
phase boost converter each PWM gate signal is required to
have 90 degrees phase shift respect to the previous one. In
order to generate these signals a synchronization circuit is
needed. Though practicable, the analog realization leads to
certain limitations.
B. Matlab Program For Bode plot of the Boost Converter
Vi=12; Vo=32; Po=35; Fs=100e3; deli=0.2; delv=0.01;
D=1-Vi/Vo; Ts=1/Fs; R=Vo^2/Po; L=D*(1-
D)^2*R*Ts/deli; C=D*Ts/(R*delv); num=[1/(1-D)];
den=[L*C/(1-D)^2 L/(R*(1-D)^2) 1]; H=tf(num,den);
bode(num,den); grid on;
C. Bode plot of the Boost Converter
Fig 3.3
D. Calculation Kp, Ki from bode plot
cos
PK
A
= 2.3792e-3 (3.16)](https://image.slidesharecdn.com/ijsrdv2i9126-150923130550-lva1-app6891/85/MODELING-ANALYSIS-AND-SIMULATION-OF-POLY-PHASE-BOOST-CONVERTER-1-320.jpg)
![Modeling, Analysis and Simulation of Poly-Phase Boost Converter
(IJSRD/Vol. 2/Issue 09/2014/031)
All rights reserved by www.ijsrd.com 141
B. Step Response of the Four Phase Boost Converter
VI. CONCLUSION
This work discusses analysis and simulation for poly-phase
boost converter. A modified method for determining the
duty cycle corresponds to current control has been
developed. The size of N boost converters in parallel is
almost same as a single boost converter of the same total
power because the size of main parts-inductors-almost
remains same. Smaller RMS current in the energy-storage
capacitor, lower input ripple current and lower output ripple
voltage or smaller size of the tank capacitor are those
important points, which have been considered. Moreover
digital realization in control results in better performance
and advantages, which cannot be achieved by Analog
method.
REFERENCES
[1] R. Mirzaei and V. Ramanarayanan, “Polyphase
Boost Converter for Automotive and UPF
Applications with Digital Control.” NATIONAL
POWER ELECTRONICS CONFERENCE, NPEC
2005.
[2] R.Redl and L.Balogh, “Power-factor correction
with interleaved boost converters in continuous-
inductor-current mode.” in Proc. APEC’93,
pp.168–174.
[3] R.Redl and L.Balogh, “RMS, DC, Peak, and
Harmonic Currents in High-Frequency Power-
Factor Correctors with Capacitive Energy Storage.”
in Proc. APEC 1992 pp. 533-540
[4] R. Giral, L. Martinez-Salamero and S.
Singer,”Interleaved Converters Operation Based on
CMC.” IEEE Trans Power Electron, vol. 14, no. 4,
Jul 1999.
[5] I. Cadirci, A. Yafavi and M. Ermis, “Unity power
factor boost converter with phase shifted parallel
IGBT operation for medium power applications.”
IEE. Proc.-Electr. Power Appl. Vol.149, No. 3,
May 2002.
[6] D. Maksimovic, R. Zane, and R. Erickson, “Impact
of Digital Control in Power Electronics.” IEEE
International Symposium on Power Semiconductor
Devices &Ics, Kitakyushu, Japan, May 2004.
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02
-20
0
20
40
Vo(volt)
StepResponseoftheFourPhaseBoostConverter
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02
0
5
10
Iin(amp)
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02
-5
0
5
10
time(sec)
Ic(amp)](https://image.slidesharecdn.com/ijsrdv2i9126-150923130550-lva1-app6891/85/MODELING-ANALYSIS-AND-SIMULATION-OF-POLY-PHASE-BOOST-CONVERTER-4-320.jpg)
MODELING, ANALYSIS AND SIMULATION OF POLY-PHASE BOOST CONVERTER
- 1. IJSRD - International Journal for Scientific Research & Development| Vol. 2, Issue 09, 2014 | ISSN (online): 2321-0613 All rights reserved by www.ijsrd.com 138 Modeling, Analysis and Simulation of Poly-Phase Boost Converter Abhishek Kumar1 Gajendra Singh Rawat2 Rituraj Singh Thakur3 1,2 Assistant Professor 3 M.Tech(Power System and Electric drives) 1,2 Electrical Department 1,2 Faculty of Engg. & Technology, Gurukula Kangri Vishwavidyalaya 3 Disha Institute of Management and Technology Abstract— The objective of this paper is to design Poly- phase boost converter which overcomes the problem of high input ripple current and output ripple voltage Digital control is more convenient for such a topology on account of the requirement of synchronization , phase shift operation , current balancing etc. This paper deals on analysis and implementation of four phase boost converter, each is a 35W unit and switched at 100 KHz. The waveforms are observed using MATLAB Simulink. Key words: Boost Converter, Capacitor I. INTRODUCTION A. Overview The poly-phase operation of boost converter to overcome the disadvantages of large size storage capacitor in boost converter and off-line UPF rectifiers and a small signal analysis of N converters in parallel to an equivalent second order system in such converters. During the on state of the switch, the capacitor has to supply the load current in the boost converter and this discontinuity of current in the capacitor increases the rms value of current and also increases the amount of capacitor which is needed for correct operation of the circuit and therefore it results in more dissipation due to ESR of capacitor. In standard designs it is not uncommon to see tank capacitors one or two orders of magnitude higher than the ideally required capacitance A way to overcome this problem is using poly-phase operation with appropriate phase shift in the control circuit of main switches. II. A. Boost Converter A boost converter regulates the average output voltage at a level higher than the input or source voltage. For this reason the boost converter is often referred to as a step-up converter or regulator. The DC input voltage is in series with a large inductor acting as a current source. A switch in parallel with the current source and the output is turned off periodically, providing energy from the inductor and the source to increase the average output voltage. The boost converter is commonly used in regulated DC power supplies and regenerative braking of DC motors. III. A. Poly-phase operation In poly-phase boost converter each stage has an independent current mode control loop, which uses the same reference current. The reference current in turn is generated by the outer voltage control loop. For correct operation of poly- phase boost converter each PWM gate signal is required to have 90 degrees phase shift respect to the previous one. In order to generate these signals a synchronization circuit is needed. Though practicable, the analog realization leads to certain limitations. B. Matlab Program For Bode plot of the Boost Converter Vi=12; Vo=32; Po=35; Fs=100e3; deli=0.2; delv=0.01; D=1-Vi/Vo; Ts=1/Fs; R=Vo^2/Po; L=D*(1- D)^2*R*Ts/deli; C=D*Ts/(R*delv); num=[1/(1-D)]; den=[L*C/(1-D)^2 L/(R*(1-D)^2) 1]; H=tf(num,den); bode(num,den); grid on; C. Bode plot of the Boost Converter Fig 3.3 D. Calculation Kp, Ki from bode plot cos PK A = 2.3792e-3 (3.16)
- 2. Modeling, Analysis and Simulation of Poly-Phase Boost Converter (IJSRD/Vol. 2/Issue 09/2014/031) All rights reserved by www.ijsrd.com 139 sin iK A = 397.3783 (3.17) d u = 60°-87.6° where, d = desired phase margin, u = phase margin of uncompensated system IV. A. Simulink Model For Single Phase Boost Converter (open loop) B. Simulink Model for Four Phase Boost Converter (open loop) 1) Generation of Four Phase Shifted Pulses using Simulink C. Sub System For Four Phase Boost Converter
- 3. Modeling, Analysis and Simulation of Poly-Phase Boost Converter (IJSRD/Vol. 2/Issue 09/2014/031) All rights reserved by www.ijsrd.com 140 D. Simulation Model For Comparison of Single Phase and Four Phase Converters (in open loop) V. RESULTS A. Comparison of Single Phase and Four Phase Converters (in open loop) 1) Output Voltage Ripple of Single Phase (N=1) and Four Phase (N=4) Converters 2) Input Current Ripple of Single Phase (N=1)and Four Phase (N=4) Converters 3) Steady State Capacitor of Single Phase (N=1) and Four Phase (N=4)Converters 9.975 9.98 9.985 9.99 9.995 10 x10 -3 37 37.2 37.4 37.6 37.8 time(sec) Vo(volt) N=1(SinglePhaseBoostConverter) 9.975 9.98 9.985 9.99 9.995 10 x10 -3 38.44 38.45 38.46 38.47 38.48 time(sec) Vo(volt) N=4(FourPhaseBoostConverter) 9.955 9.96 9.965 9.97 9.975 9.98 9.985 9.99 9.995 10 x10 -3 4.2 4.4 4.6 4.8 5 5.2 N=1(SinglePhaseBoostConverter) time(sec) Iin(amp) 9.955 9.96 9.965 9.97 9.975 9.98 9.985 9.99 9.995 10 x10 -3 6.45 6.5 6.55 6.6 6.65 6.7 N=4(FourPhaseBoostConverter) time(sec) Iin(amp)
- 4. Modeling, Analysis and Simulation of Poly-Phase Boost Converter (IJSRD/Vol. 2/Issue 09/2014/031) All rights reserved by www.ijsrd.com 141 B. Step Response of the Four Phase Boost Converter VI. CONCLUSION This work discusses analysis and simulation for poly-phase boost converter. A modified method for determining the duty cycle corresponds to current control has been developed. The size of N boost converters in parallel is almost same as a single boost converter of the same total power because the size of main parts-inductors-almost remains same. Smaller RMS current in the energy-storage capacitor, lower input ripple current and lower output ripple voltage or smaller size of the tank capacitor are those important points, which have been considered. Moreover digital realization in control results in better performance and advantages, which cannot be achieved by Analog method. REFERENCES [1] R. Mirzaei and V. Ramanarayanan, “Polyphase Boost Converter for Automotive and UPF Applications with Digital Control.” NATIONAL POWER ELECTRONICS CONFERENCE, NPEC 2005. [2] R.Redl and L.Balogh, “Power-factor correction with interleaved boost converters in continuous- inductor-current mode.” in Proc. APEC’93, pp.168–174. [3] R.Redl and L.Balogh, “RMS, DC, Peak, and Harmonic Currents in High-Frequency Power- Factor Correctors with Capacitive Energy Storage.” in Proc. APEC 1992 pp. 533-540 [4] R. Giral, L. Martinez-Salamero and S. Singer,”Interleaved Converters Operation Based on CMC.” IEEE Trans Power Electron, vol. 14, no. 4, Jul 1999. [5] I. Cadirci, A. Yafavi and M. Ermis, “Unity power factor boost converter with phase shifted parallel IGBT operation for medium power applications.” IEE. Proc.-Electr. Power Appl. Vol.149, No. 3, May 2002. [6] D. Maksimovic, R. Zane, and R. Erickson, “Impact of Digital Control in Power Electronics.” IEEE International Symposium on Power Semiconductor Devices &Ics, Kitakyushu, Japan, May 2004. 0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02 -20 0 20 40 Vo(volt) StepResponseoftheFourPhaseBoostConverter 0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02 0 5 10 Iin(amp) 0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02 -5 0 5 10 time(sec) Ic(amp)