Research on Current Ripple of Coupling Inductor in Magnetically Integrated Converter

doi:10.11985/2023.02.010

Abstract

Abstract:

In order to reduce the current ripple of the inductor in the converter, the influence of coupled magnetic integration on the current ripple is studied. From the perspective of coupled inductor mathematical model, a general integrated model of two-phase coupled inductor is established. According to the mathematical model, the influencing factors of current ripple and the limiting conditions of each parameter are analyzed. Under the conditions of constant voltage ratio of two inductors and constant time ratio of inductor voltage, the variation of inductor current ripple with different duty cycle, phase angle and coupling coefficient is systematically analyzed. The calculation method and design criteria of inductor current ripple under different conditions are given. By setting specific simulation parameters and comparing the theoretical analysis results, the correctness of the principle analysis is verified. Finally, two interleaved boost converters are taken as examples to verify the correctness of ripple analysis.

Key words: Current ripple, magnetic integration, mathematical model, coupled inductor, inductor voltage ratio

CLC Number:

TM46

LI Hongzhu, WANG Zeming, FAN Longlong. Research on Current Ripple of Coupling Inductor in Magnetically Integrated Converter[J]. Journal of Electrical Engineering, 2023, 18(2): 97-107.

Figures/Tables 27

耦合系数k	占空比		纹波变化倍数 $γ 2$		误差
耦合系数k	D₁	D₂	理论	仿真	误差
0.3	0.3	0.3	0.439 5	0.439 4	-0.000 1
0.6	0.3	0.3	0.312 3	0.312 5	0.000 2
0.8	0.3	0.3	1.666 7	1.666 6	-0.000 1
-0.3	0.3	0.3	1.758 2	1.758 2	0
-0.6	0.3	0.3	3.437 5	3.437 5	0

耦合系数k	占空比		纹波变化倍数 $γ 2$		误差
耦合系数k	D₁	D₂	理论	仿真	误差
0.3	0.4	0.3	0.533 7	0.533 8	0.000 1
0.3	0.3	0.4	0.604 4	0.605 4	0.001 0
-0.2	0.4	0.3	1.398 8	1.398 9	0.000 1
-0.2	0.3	0.4	1.354 2	1.355 6	0.001 4

耦合系数k	D_i	τ	纹波变化倍数 $γ 2$		误差
耦合系数k	D_i	τ	理论	仿真	误差
0.3	0.3	0.1	0.753 5	0.753 4	0.000 1
0.3	0.3	-0.1	0.753 5	0.753 6	0.000 1
-0.2	0.3	0.1	1.259 9	1.260 0	0.000 1
-0.2	0.3	-0.1	1.259 9	1.259 9	0

耦合系数k	D_i	τ	纹波变化倍数 $γ 2$		误差
耦合系数k	D_i	τ	理论	仿真	误差
-0.2	D₁=0.6, D₂=0.2	0.3	1.145 8	1.145 8	0
-0.2	D₁=0.6, D₂=0.2	-0.3	0.885 4	0.885 4	0

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	相位与占空比条件		电流纹波计算方式
1	τ=0 D₁≠D₂		某一时间段变化量
2	τ≠0 D₁=D₂ D_i<0.5	\|τ\|<D_i	两个时段变化量叠加值
2	τ≠0 D₁=D₂ D_i<0.5	\|τ\|>D_i	两个时段变化量叠加值
3	τ≠0 D₁=D₂ D_i>0.5	\|τ\|<D_i	两个时段变化量叠加值
3	τ≠0 D₁=D₂ D_i>0.5	\|τ\|>D_i	两个时段变化量叠加值
4	τ≠0 D₁≠D₂	τ>0	某一时间段变化量
4	τ≠0 D₁≠D₂	τ<0	三个时段变化量叠加值

名称	u_1max	u_1min	u_2max	u_2min
k>0, τ=0, D₁=D₂	70	-30	35	-15
k<0, τ=0, D₁=D₂	70	-30	15	-35

名称		u_1max	u_1min	u_2max	u_2min
k>0, τ=0	D₁>D₂	60	-40	35	-15
k>0, τ=0	D₁<D₂	70	-30	30	-20
k<0, τ=0	D₁>D₂	60	-40	15	-35
k<0, τ=0	D₁<D₂	70	-30	20	-30

名称	u_1max	u_1min	u_2max	u_2min
k>0, τ > 0	70	-30	35	-15
k >0, τ<0	70	-30	35	-15
k <0, τ>0	70	-30	35	-15
k<0, τ<0	70	-30	35	-15