basic design and review of two phase and three phase interleaved boost converter … … · ·...

International Journal of Applied Science www.ijas.org.uk

Original Article

Basic Design and Review of Two Phase and Three Phase Interleaved Boost Converter for Renewable Energy Systems

Chitra.P*1 and Seyezhai.R2

1Research Assistant, Department of EEE, SSN College of Engineering, Chennai, India

2Associate Professor,

Department of EEE, SSN College of Engineering, Chennai, India

A R T I C L E I N F O Received 18 June 2014 Received in revised form 22 June 2014 Accepted 05 July 2014 Keywords: Renewable Energy sources, Two Phase IBC, Three Phase IBC, Inductor currents, Comparison, Ripple & duty ratio. Corresponding author: Research Assistant, Department of EEE, SSN College of Engineering, Chennai, India E-mail address: [email protected]

A B S T R A C T

This paper investigates the performance of two-phase and three-phase Interleaved Boost Converter (IBC) for renewable energy applications. By employing three-stage IBC, the overall current ripple can be effectively reduced which increases the lifetime of renewable sources [1-3]. In this paper, a three phase interleaved boost converter has been discussed and it is compared to the conventional two-phase IBC presented in the literature. The advantage of three Phase IBC compared to the two Phase is low input current ripple [4,5]. The output voltage, input current and inductor current ripples of the two types of converters are compared for various duty cycles. Simulation is carried out in MATLAB/SIMULINK. The results are discussed and verified with the theoretical values.

© 2014 International Journal of Applied Science- All rights reserved

INTRODUCTION

The depletion of fossil fuels and global warming, caused largely by greenhouse gas emissions led to the development of non-conventional energy sources. These sources of energy are also called Renewable energy. Renewable sources are continuously replenished by natural processes. Renewable energy comes from many commonly known sources such as solar power, wind, running water and geothermal energy. Also another great benefit from using renewable energy is that many of them do not pollute our air and water, the way burning fossil fuels does. Any such renewable

energy system requires a suitable converter to make it efficient. Interleaved boost converter is one such converter that can be used for these applications. Interleaved boost converter is a promising interface between renewable energy sources such as fuel cells, PV and the DC bus of inverters. Due to interleaving operation, IBC exhibits both lower current ripple at the input side and lower voltage ripple at the output side.6 Here two IBC topologies are discussed namely: Two and Three Phase. The frequency of the current ripple is twice for two phase IBC than the conventional boost converter. Due to a phase

Chitra.P et al___________________________________________________ ISSN: 2394-9988

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shift of 180 degrees ripple cancellation takes place. In this paper the operation of both two phase and three phase IBCs are discussed. The waveforms of input, inductor current ripple and output voltage ripple are obtained using MATLAB/SIMULINK. The design equations for two phase as well as three phase IBCs have been presented. Output RMS currents are calculated. TWO PHASE IBC Circuit Operation

The circuit of two phase interleaved boost converter is shown in Fig.1. When the device M is turned ON, the current in the inductor L increases linearly. During this period energy is stored in the inductor L. When M is turned OFF, diode D conducts and the stored energy in the inductor ramps down with a slope based on the difference between the input and the output voltage. The inductor starts to discharge and transfer the current to the load through the diode. After a half switching cycle of M, M1 is also turned ON completing the same cycle of events. Since both the power channels are combined at the output capacitor, the effective ripple frequency is twice that of a single phase boost converter. The amplitude of the input current ripple is small. This advantage makes this topology very attractive for the renewable energy sources. The gating pulses of the two devices are shifted by a phase difference of 360/n, where n is the number of parallel boost converters connected in parallel. For a two phase interleaved boost converter n=2, the phase shift is 180 degrees and it is shown in Fig.2. It can be seen that the input current, for two phase interleaved boost converter is the sum of each channel inductors currents. As the two devices are phase shifted by 180 degrees, the input current ripple is minimum.7-12

When the duty ratio is less than 0.5 the ideal waveforms are shown in Fig.2. Here the duty ratio is 0.2.

When the duty ratio is greater than 0.5 the waveforms are shown in Fig.3. Here the duty ratio is 0.75.

Design Equations 1. Boost ratio

The boosting ratio of the IBC is a function of the duty ratio. It is same as in conventional boost converter. It is defined as

in

o

V

V

= D1

1

Where oV is the output voltage, is the

input voltage and D is the duty ratio.

2. Input current The input current can be calculated by

the input power and the input voltage.

inI= in

in

V

P

Where inI is the input current, inP is the input

power and inVthe input voltage.

3. Inductor current ripple peak-to-peak amplitude

The inductor current ripple peak-peak amplitude is given by

2,1 llI=

LF

DV

S

in

Where inV represents the input voltage, D

represents the duty ratio, SF represents the

switching frequency and L represents the value of the inductor.

4. Selection of inductor and capacitor

In the power electronic systems the magnetic components play a major role for energy storage and filtering. As discussed in the operation of IBC the inductor is used to transform the energy from the input voltage to the inductor current and to convert it back from the inductor current to the output voltage. As per the principle the two inductors shown in the Fig. 1. are identical in order to balance the current in

(1)

(2)

(3)

inV


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the two boost converters. The value of the inductor can be found out by the following formula

o

Sin

I

DTVL

2

Where, ST -Switching period, oI -Output

current ripple, The value of the capacitor is given by

the formula

So

o

FVR

DVC

Where, R- Load resistor, oV -Output voltage

ripple and oV - Output voltage

5. Output RMS Current

i. For 5.0 :

CoRMSI= )1(

)1(2

outI

Where outI =Output current

ii. For 5.0 :

CoRMSI= )22)(12(

2

1

)1(2

outI

Simulation Parameters Simulation Parameters are shown in Table.1.

Simulation Results

i) For 5.0 The switching patterns of two MOSFETs (M

and M1) used in the two phase IBC is shown in Fig.4.The pulse of second switch is phase shifted by 180 degrees from the first device.

The input current and the current through the parallel inductors are shown in Fig.5.They can be obtained as 6.1 A and 3.1A respectively. It can be inferred from the figure that the inductor currents are same. Using these waveforms the input current ripple is obtained as 0.008A and inductor current ripple is obtained as 0.023A.

The output current waveform is shown in Fig.6.It is obtained as 4.8 A.

The output voltage waveform is shown in Fig.7.It is obtained as 24 V.

Output current ripple waveform is shown in Fig.8.Ripple current of 0.0003A is also calculated using this waveform.

Output Voltage Ripple waveform is shown in Fig.9. Voltage Ripple of 0.0003V is also calculated using this waveform.

ii) For 5.0 The switching patterns of two

MOSFETs (M and M1) used in the two phase IBC is shown in Fig.10.The pulse of second switch is phase shifted by 180 degrees from the first device.

The input and inductor currents are shown in Fig.11.They can be obtained as 41 A and 21A respectively. Using these waveforms the input current ripple is obtained as 0.009A and inductor current ripple is obtained as 0.003A.




Output Voltage Ripple waveform is shown in Fig.15. Voltage Ripple of 0.00006 V is also calculated using this waveform.

THREE PHASE IBC Circuit Operation

The circuit diagram for three phase Interleaved Boost Converter is shown in Fig.16. The number of inductors and switches are the same as the number of phases. However, a single capacitor is used as a filter in IBC. Because the output current of the source l is divided by 1/N times separately, the current stress in IBC can be reduced. Each phase switching frequency of 3-phase IBC can be identical and each switch has same phase shift angle as 360°/N. According to the duty ratio, switching sequences of each phase can be overlapped or not. While IBC is operated at non-overlapped condition, the input current ripple is decreased. However, it is linearly increased after switching sequence is totally overlapped.13,14

(4)

(5)

(6)

(7)


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Ideal Waveforms for 5.0 When the duty ratio is less than 0.5 the

waveforms are obtained as shown in Fig.17. Here the duty ratio is 0.2. Ideal Waveforms for 5.0

When the duty ratio is at 0.5 the waveforms are obtained as shown in Fig.18. Ideal Waveforms for 5.0

When the duty ratio is greater than 0.5 the waveforms are obtained as shown in Fig.19. Here the duty ratio is 0.75. Design Equations 1. Duty ratio

Duty ratio is defined as

in

o

V

V=

D1

1

Where oV is the output voltage, inV is the input

voltage and D is the duty ratio. 2. Input current

The input current can be calculated by the formula,

inI=

in

in

V

P

Where inI is the input current, inP is the input

power and inV the input voltage.

3. Inductor current ripple peak-to-peak amplitude

The inductor current ripple peak-peak amplitude is given by

2,1 llI =LF

DV

S

in

Where inV represents the input voltage, D

represents the duty ratio, SF represents the

switching frequency and L represents the value of the inductor.

4. Selection of inductor and capacitor The value of the inductor can be found

out by the following formula

o

Sin

I

DTVL

2

Where, ST -Switching period and oI -Output

current ripple The value of the capacitor is given by

the formula

So

o

FVR

DVC

Where, R- Load resistor,

oV -Output voltage

ripple and oV - Output voltage

5. Output RMS Current i) For 5.0

CoRMSI= )31(

)1(3

outI

ii) For 5.0

CoRMSI= )32)(13(

3

1

)1(3

outI

iii) For 5.0

CoRMSI= )33)(23(

3

1

)1(3

outI

Simulation Parameters

Simulation Parameters are shown in Table.2. i) For 5.0 Simulation Results i) For 5.0

The switching patterns of three MOSFETs (M, M1and M2) used in the three phase IBC is shown in Fig.20.The phase shift is 120(360/n) degrees.

The input and inductor currents are shown in Fig.21.They can be obtained as 6 A

(8)

(9)

(10)

(11)

(12)

(13)

(14)

(15)


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and 2.9A respectively. Using these waveforms the input current ripple is obtained as 0.0033A and inductor current ripple is obtained as 0.0086A.



Output current ripple waveform is shown in Fig.24.Ripple current of 0.00025 is also calculated using this waveform.

Output Voltage Ripple waveform is shown in Fig.25. Voltage Ripple of 0.00025V is also calculated using this waveform. ii) For 5.0

The switching patterns of three MOSFETs (M, M1and M2) used in the three phase IBC is shown in Fig.26.The phase shift is 120(360/n) degrees.

The input and inductor currents are shown in Fig.27.They can be obtained as 15.5 A and 4.9A respectively. Using these waveforms the input current ripple is obtained as 0.0032A and inductor current ripple is obtained as 0.015A.


The output voltage waveform is shown in Fig.29.It is obtained as 38.6 V.


Output Voltage Ripple waveform is shown in Fig.31. Voltage Ripple of 0.00016V is also calculated using this waveform. iii) For 5.0

The switching patterns of three MOSFETs (M, M1and M2) used in the three phase IBC is shown in Fig.32. The phase shift is 120(360/n) degrees.

The input and inductor currents are shown in Fig.33. They can be obtained as 16 A and 5.3A respectively. Using these waveforms the input current ripple is obtained as 0.00019A and inductor current ripple is obtained as 0.005A.


The output voltage waveform is shown in Fig.35.It is obtained as 73.2 V.


Output Voltage Ripple waveform is shown in Fig.37. Voltage Ripple of 0.000024V is also calculated using this waveform.

COMPARISON BETWEEN TWO PHASE AND THREE PHASE IBC

Current ripple and voltage ripples are minimum for a three phase IBC when compared with two phase IBC ripple.

The values of the ripple contents are summarized as follows:

Two Phase IBC

Table.3.gives the values of ripples of Two Phase IBC

It can be inferred from the above table that the ripples are reduced with the increased duty ratio. Three Phase IBC

Table.4.gives the values of ripples of Three Phase IBC

It is clear from the above table that the ripples are reduced for three phase IBC compared with two phase IBC. In three phase IBC itself, it has low ripples for higher duty ratios. By observing output voltage and output current ripples, are also same for all the cases of duty ratio.

Output RMS currents are calculated for both two phase and three phase IBC. They are listed in Table.5.

It is obvious from the above table that the Output RMS Currents are maximum in case of two phase IBC.

CONCLUSION

This paper has discussed the basic design aspects of two phase and three phase interleaved boost converters. The feature and performance of both the IBCs under various duty cycle conditions have been investigated. It is found that the three-phase interleaved boost converter provides a reduced input current and output voltage ripple


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compared to the classical two-phase IBC. Also, the output RMS current in three-phase IBC is less which results in the reduction of the size of the output capacitor filter. Therefore, a three-phase IBC proves to be a suitable candidate for renewable energy sources. REFERENCES 1. Thounthong, P. ; Sethakul, P. ; Rael, S. ; Davat,

B. ,” Design and implementation of 2-phase interleaved boost converter for fuel cell power source”, Power Electronics, Machines and Drives, 2008. PEMD 2008. 4th IET Conference Publication Year: 2008, Page(s): 91 - 95.

2. YoungSun Lee ; SeYoung Park ; Jul-Ki Seok, “Modeling and control of average input current to enhance power density for three-phase interleaved boost converters” Energy Conversion Congress and Exposition (ECCE), 2013 IEEE, Publication Year: 2013 , Page(s): 4857 – 4863.

3. Ho, C.N.M. ; Breuninger, H. ; Pettersson, S. ; Escobar, G. ;Serpa, L. ; Coccia, A., ” Practical implementation of an interleaved boost converter using SiC diodes for PV applications”, Power Electronics and ECCE Asia (ICPE & ECCE), 2011 IEEE 8th International Conference Publication Year: 2011 , Page(s): 372 - 379.

4. Jungwan Choi; Hanju Cha ; Byung-Moon Han,"A Three-Phase Interleaved DC–DC Converter With Active Clamp for Fuel Cells” Power Electronics, IEEE Transactions Volume: 25, Issue: 8, Publication Year: 2010 , Page(s): 2115 - 2123

5. Hirakawa, M.; Nagano, M.; Watanabe, Y.; Ando, K.; Nakatomi, S. ; Hashino, S.; Shimizu, T. ,” High power density interleaved DC/DC converter using a 3-phase integrated close-coupled inductor set aimed for electric vehicles”,Energy Conversion Congress and Exposition (ECCE), 2010 IEEE, Publication Year: 2010 , Page(s): 2451 - 2457

6. Dr Miroslav Lazić, Dr Miloš Živanov and Boris Šašić, ”Design of Multiphase Boost Converter for Hybrid Fuel Cell/Battery Power Sources”

7. Harinee, M.; Nagarajan, V.S.; Dimple; Seyezhai, R. ;Mathur, B.L.,” Modeling and design of fuel cell based two phase interleaved boost converter”, Electrical Energy Systems (ICEES), 2011 1st International Conference, Publication Year: 2011, Page(s): 72 - 77 .

8. Chung Ping Ku ; Dan Chen ; Chin Yuan Liu,” A novel SFVM control scheme for two-phase

interleaved CCM/DCM boundary mode boost converter in power factor correction applications”, .Energy Conversion Congress and Exposition (ECCE), 2010 IEEE ,Publication Year: 2010 , Page(s): 906 - 911

9. Phattanasak, M. ; Kaewmanee, W.; Thounthong, P.; Gavagsaz-Ghoachani, R.; Martin, J.P. ; PIERFEDERICI, S.; Davat, B.; Zandi, M.,"Study of two-hase interleaved boost converter using coupled inductors for a fuel cell” Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology (ECTI-CON), 2013 10th International Conference Publication Year: 2013 , Page(s): 1 – .6

10. Longlong Zhang; Guoqiao Shen; Min Chen; Ioinovici, Adrain; Dehong Xu,”Two-phase interleaved boost converter with voltage multiplier under APS control method for fuel cell power system”, Power Electronics and Motion Control Conference (IPEMC), 2012 7th International ,Publication Year: 2012 , Page(s): 963 – 967.

11. Yong-Seong Roh ; Young-Jin Moon; Jeongpyo Park ; Changsik Yoo,"A Two-Phase Interleaved Power Factor Correction Boost Converter With a Variation-Tolerant Phase Shifting Technique” Power Electronics, IEEE Transactions Publication Year: 2014, Page(s): 1032 – 1040.

12. Xu, Xiaojun; Wei Liu ; Huang, A.Q. ,”Two-Phase Interleaved Critical Mode PFC Boost Converter With Closed Loop Interleaving Strategy” Power Electronics, IEEE Transactions, Volume: 24 , Publication Year: 2009, Page(s): 3003 - 3013

13. Hanju Cha; Jungwan Choi; Byung-Moon Han, ”A new three-phase interleaved isolated boost converter with active clamp for fuel cells” Power Electronics Specialists Conference, 2008. PESC 2008. IEEE, Publication Year: 2008 , Page(s): 1271 - 1276

14. Hanju Cha; Jungwan Choi ; Woojung Kim; Blasko, V., ”A New Bi-directional Three phase Interleaved Isolated Converter with Active Clamp”, Applied Power Electronics Conference and Exposition, 2009. APEC 2009. Twenty-Fourth Annual IEEE, Publication Year: 2009 , Page(s): 1766 - 1772

15. The Van Nguyen; Jeannin, P.; Crebier, J.-C. ; Schanen, J.-L.,”A new compact, isolated and integrated gate driver using high frequency transformer for interleaved Boost converter”, Energy Conversion Congress and Exposition (ECCE), 2011 IEEE ,Publication Year: 2011, Page(s): 1889 - 1896


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Table 1. Simulation Parameters

Table 2. Simulation Parameters

Parameter Designator Value

5.0

Value

5.0

Value

5.0

Input Voltage inV 20 V 20 V 20 V

Inductor L 11 mH 28 mH 42 mH Capacitor C 10 mF 40 mF 120 mF

Switching Frequency SF 5KHz 5KHz 5KHz

Table 3. Parameters of Two Phase IBC

Type of Ripple 5.0

( 2.0 )

5.0

( 75.0 )

Input current ripple 0.008 0.009

Inductor current ripple 0.023 0.003 Output current ripple 0.0003 0.00007 Output voltage ripple 0.0003 0.00006

Table 4. Parameters of Three Phase IBC

Type of Ripple 5.0

( 2.0 ) 5.0

5.0

( 75.0 )

Input current ripple 0.0033 0.0032 0.00019

Inductor current ripple 0.0086 0.015 0.005

Output current ripple 0.00025 0.00014 0.000024

Output voltage ripple 0.00025 0.00016 0.000024

Table 5. Output RMS Currents

Parameter Designator Value

5.0

Value

5.0 Input Voltage inV

20 V 20 V

Inductor L 11 mH 42 mH

Capacitor C 10 mF 120 mF Switching Frequency Fs 5KHz 5KHz


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Value of /Type of IBC Two Phase IBC Three Phase IBC

5.0

( 2.0 ) 1.25A 0.589A

5.0

( 75.0 ) 11.3A 5.33A

Figure 1. Circuit Diagram of Two Phase IBC


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Figure 2. Ideal Waveforms for 5.0 of Two Phase IBC

Figure 3. Ideal waveforms for 5.0 for two phase IBC


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0.93 0.9302 0.9304 0.9306 0.9308 0.931 0.9312 0.9314 0.9316 0.9318 0.9320

1

2

3

4

5

Time(S)

Vol

tage

(V)

0.93 0.9302 0.9304 0.9306 0.9308 0.931 0.9312 0.9314 0.9316 0.9318 0.9320

1

2

3

4

5

Time(S)

Vol

tage

(V)

Figure 4. Gating Patterns of Two MOSFETs (M and M1)

0.64 0.6405 0.641 0.6415

6.04

6.06

6.08

6.1

Time(S)

Cu

rren

t(A

)

0.64 0.6405 0.641 0.64152.98

3

3.02

3.04

3.06

3.08

Time(S)

Cur

rent

(A)

0.64 0.6405 0.641 0.64152.98

3

3.02

3.04

3.06

3.08

Time(S)

Cu

rren

t(A

)

Figure 5. Input current and Inductors (L1 and L 2 ) Currents


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0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

1

2

3

4

5

6

7

8

9

Time(S)

Cur

rent

(A)

Figure 6. Output Current waveform

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

5

10

15

20

25

30

35

40

45

Time(S)

Vol

tage

(V)

Figure 7. Output voltage waveform


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0.946 0.9461 0.9462 0.9463 0.9464 0.9465 0.9466 0.9467 0.9468 0.9469 0.9474.8432

4.8434

4.8436

4.8438

4.844

4.8442

4.8444

4.8446

4.8448

Time(S)

Cur

rent

(A)

Figure 8. Output Current Ripple Waveform

0.95 0.9501 0.9502 0.9503 0.9504 0.9505 0.9506 0.9507 0.9508 0.9509 0.95124.216

24.217

24.218

24.219

24.22

24.221

24.222

24.223

24.224

Time(S)

Vol

tage

(V)

Figure 9. Voltage Ripple Waveform


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9.9 9.9002 9.9004 9.9006 9.9008 9.901 9.9012 9.9014 9.9016 9.9018 9.9020

1

2

3

4

5

Time(S)

Vol

tage

(V)

9.9 9.9002 9.9004 9.9006 9.9008 9.901 9.9012 9.9014 9.9016 9.9018 9.9020

1

2

3

4

5

Time(S)

Vol

tage

(V)

Figure 10. Gating Patterns of MOSFTs (M and M1)

4.44 4.4401 4.4402 4.4403 4.4404 4.4405 4.4406 4.4407 4.4408 4.4409 4.44141

41.01

41.02

41.03

41.04

Time(S)

Cur

rent

(A)

4.92 4.9202 4.9204 4.9206 4.9208 4.921 4.9212 4.9214 4.9216 4.9218 4.922

20.44

20.46

20.48

Time(S)

Cu

rren

t(A

)

4.92 4.9202 4.9204 4.9206 4.9208 4.921 4.9212 4.9214 4.9216 4.9218 4.922

20.44

20.46

20.48

Time(S)

Cur

ren

t(A

)

Figure 11. Input Current and Inductors (L1 and L 2 ) Currents


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0 1 2 3 4 5 6 7 8 9 100

2

4

6

8

10

12

14

16

18

Time(S)

Cur

rent

(A)

Figure 12. Output Current

0 1 2 3 4 5 6 7 8 9 1010

20

30

40

50

60

70

80

90

100

Time(S)

Vol

tage

(V)

Figure 13. Output Voltage


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5.25 5.2501 5.2502 5.2503 5.2504 5.2505 5.2506 5.2507 5.2508 5.2509 5.25112.2302

12.2303

12.2304

12.2305

12.2306

12.2307

12.2308

12.2309

12.231

12.2311

Time(S)

Cu

rren

t(A

)

Figure 14. Current Ripple Waveform

9.5 9.5001 9.5002 9.5003 9.5004 9.5005 9.5006 9.5007 9.5008 9.5009 9.501

71.1605

71.161

71.1615

71.162

71.1625

71.163

71.1635

71.164

71.1645

Time(S)

Vo

lta

ge(

V)



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Figure 16. Circuit Diagram of Three Phase IBC

Figure 17. Ideal waveforms for three phase IBC when 5.0


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0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2

x 10-3

0

2

4

Time(S)

Vol

tage

(V)

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2

x 10-3

0

2

4

Time(S)

Vol

tage

(V)

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2

x 10-3

0

2

4

Time(S)

Vol

tage

(V)

Figure 20. Gating Patterns of three(M,M1,M2) MOSFETs

0.47 0.4702 0.4704 0.4706 0.4708 0.471 0.4712 0.4714 0.47166.02

6.03

6.04

Time(S)

Cur

rent

(A)

0.47 0.4702 0.4704 0.4706 0.4708 0.471 0.4712 0.4714 0.4716

2.91

2.92

2.93

Time(S)

Cur

rent

(A)

0.47 0.4702 0.4704 0.4706 0.4708 0.471 0.4712 0.4714 0.4716

2.91

2.92

2.93

Time(S)

Cur

rent

(A)

0.47 0.4702 0.4704 0.4706 0.4708 0.471 0.4712 0.4714 0.47162.91

2.92

2.93

Time(S)

Cur

rent

(A)

Figure 21. Input current and Inductors (L, L1 and L 2 ) Currents


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0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

1

2

3

4

5

6

Time(S)

Cur

rent

(A)

Figure 22. Output Current waveform

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

5

10

15

20

25

30

35

40

45

Time(S)

Vol

tage

(V)

Figure 23. Output voltage waveform


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0.5 0.5005 0.501 0.5015 0.502 0.5025 0.503 0.5035 0.504 0.5045 0.505

4.306

4.30605

4.3061

4.30615

4.3062

4.30625

Time(S)

Cur

rent

(A)

Figure 24. Output Current Ripple Waveform

0.5 0.5005 0.501 0.5015 0.502 0.5025 0.503 0.5035 0.504 0.5045 0.505

23.06

23.0605

23.061

23.0615

23.062

23.0625

Time(S)

Vo

lta

ge(

V)

Figure 25. Output Voltage Ripple Waveform


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0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2

x 10-3

0

2

4

Time(S)

Vol

tage

(V)

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2

x 10-3

0

2

4

Time(S)

Vol

tage

(V)

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2

x 10-3

0

2

4

Time(S)

Vol

tage

(V)

Figure 26. Gating Patterns of MOSFETs (M, M1, M2)

0.9035 0.904 0.9045 0.905

15.45

15.5

15.55

Time(S)

Cur

rent

(A)

0.95 0.9502 0.9504 0.9506 0.9508 0.951 0.9512 0.9514 0.9516 0.9518 0.9524.78

4.8

4.82

4.84

4.86

Time(S)

Cur

rent

(A)

0.95 0.9502 0.9504 0.9506 0.9508 0.951 0.9512 0.9514 0.9516 0.9518 0.952

4.8

4.82

4.84

4.86

Time(S)

Cur

rent

(A)

0.95 0.9502 0.9504 0.9506 0.9508 0.951 0.9512 0.9514 0.9516 0.9518 0.9524.8

4.82

4.84

4.86

Time(S)

Cur

rent

(A)

Figure 27. Input Current and Inductors (L, L1 and L 2 ) Currents


IJAS [1][1]2014 001-026

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 20

2

4

6

8

10

12

14

Time(S)

Cur

rent

(A)


0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 20

10

20

30

40

50

60

70

Time(S)

Vol

tage

(V)



IJAS [1][1]2014 001-026

4.5 4.5005 4.501 4.5015 4.502 4.5025 4.503 4.5035 4.504 4.5045 4.505

7.7331

7.7332

7.7333

7.7334

7.7335

7.7336

7.7337

7.7338

7.7339

7.734

7.7341

Time(S)

Cu

rren

t(A

)


4.99 4.9905 4.991 4.9915 4.992 4.9925 4.993 4.9935 4.994 4.9945 4.995

38.6655

38.666

38.6665

38.667

38.6675

38.668

38.6685

38.669

38.6695

38.67

38.6705

Time(S)

Vo

lta

ge(

V)



IJAS [1][1]2014 001-026

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2

x 10-3

0

2

4

Time(S)

Vol

tage

(V)

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2

x 10-3

0

2

4

Time(S)

Vol

tage

(V)

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2

x 10-3

0

2

4

Time(S)

Vol

tage

(V)

Figure 32. Gating Patterns of MOSFTs (M, M1, M2)

9.38 9.3805 9.381 9.3815 9.382 9.3825 9.38315.92

15.94

15.96

Time(S)

Cur

rent

(A)

9.38 9.3805 9.381 9.3815 9.382 9.3825 9.3835.29

5.3

5.31

5.32

5.33

Time(S)

Cur

rent

(A)

9.38 9.3805 9.381 9.3815 9.382 9.3825 9.3835.29

5.3

5.31

5.32

5.33

Time(S)

Cur

rent

(A)

9.38 9.3805 9.381 9.3815 9.382 9.3825 9.383

5.3

5.32

Time(S)

Cur

rent

(A)

Figure 33. Input Current and Inductors (L, L1 and L 2 ) Currents


IJAS [1][1]2014 001-026

0 1 2 3 4 5 6 7 8 9 100

2

4

6

8

10

12

14

16

18

20

Time(S)

Cur

rent

(A)


0 1 2 3 4 5 6 7 8 9 100

20

40

60

80

100

120

Time(S)

Vol

tage

(V)



IJAS [1][1]2014 001-026

9.65 9.651 9.652 9.653 9.654 9.655 9.656

14.6587

14.6588

14.6589

14.659

14.6591

14.6592

14.6593

14.6594

14.6595

14.6596

Time(S)

Vo

lta

ge(

V)


9.95 9.951 9.952 9.953 9.954 9.955 9.956 9.957

73.2935

73.294

73.2945

73.295

73.2955

73.296

73.2965

73.297

73.2975

73.298

Time(S)

Vo

lta

ge(

V)


basic design and review of two phase and three phase interleaved boost converter … … · ·...

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