﻿ 一种采用耦合电感的开关电路分析

# 一种采用耦合电感的开关电路分析Analysis of a Switching Circuit Based on a Coupled Inductor

Abstract: Combining the coupled inductor with the switching circuit greatly enhances the output voltage gain of the switching circuit and the flexibility of its adjustment. In this paper, the original and secondary sides of the coupled inductor are respectively fused with the diode-capacitor unit. The structure of the switching circuit has been expanded, which provides a certain foundation for the research of new high-performance switching circuits. The detailed analysis and simulation verification of the proposed circuit are carried out. The simulation results verify the correctness of the theoretical analysis.

1. 引言

Figure 1. The proposed switching circuit

2. 开关电路拓扑结构及其原理分析

CCM模式下，电路主要器件的电流波形如图3所示。具体模态分析如下所述。

Figure 2. Equivalent circuit of switching circuit

Figure 3. The key waveforms in switching circuit

(a) 模态1 (b) 模态2 (c) 模态3 (d) 模态4 (e) 模态5

Figure 4. The modes of circuit in CCM

3. 稳态特性分析

3.1. 变换器电压增益

${v}_{Lm}={V}_{in}$ (1)

${v}_{N2}=n{V}_{in}$ (2)

${v}_{Lm}=-{V}_{C1}$ (3)

${v}_{N2}=-{V}_{C2}+{V}_{C1}$ (4)

${\int }_{0}^{D{T}_{S}}{V}_{in}\text{d}t+{\int }_{D{T}_{S}}^{{T}_{S}}\left(-{V}_{C1}\right)\text{d}t=0$ (5)

${\int }_{0}^{D{T}_{S}}\left(n{V}_{in}\right)\text{d}t+{\int }_{D{T}_{S}}^{{T}_{S}}\left(-{V}_{C2}+{V}_{C1}\right)\text{d}t=0$ (6)

${V}_{C1}=\frac{D}{1-D}{V}_{in}$ (7)

${V}_{C2}=\frac{\left(n+1\right)D}{1-D}{V}_{in}$ (8)

${V}_{o}=\frac{n+1}{1-D}{V}_{in}$ (9)

3.2. 功率器件的电压应力

${V}_{ds}={V}_{in}+{V}_{C1}=\frac{1}{n+1}{V}_{O}$ (10)

${V}_{D1}={V}_{in}+{V}_{C1}=\frac{1}{n+1}{V}_{O}$ (11)

${V}_{D2}={V}_{C2}+{V}_{N2}-{V}_{C1}=\frac{n}{n+1}{V}_{O}$ (12)

${V}_{D3}={V}_{C3}={V}_{o}$ (13)

4. 仿真验证

Table 1. Parameters of circuit

(a) (b) (c) (d) (e)

Figure 5. The simulation waveforms of proposed switching circuit

5. 总结

[1] 候世英, 陈剑飞, 孙韬, 张立帅, 邹学伟. 基于Switch-Capacitor网络的单开关升压变换器[J]. 电工技术学报, 2013, 28(10): 206-216.

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https://doi.org/10.1109/TIE.2010.2098360

[5] 王挺, 汤雨. 应用于微逆变器的高增益DC-DC变换器设计[J]. 电力系统自动化, 2013, 37(13): 121-126.

[6] 颜伟鹏, 田书欣, 张永鑫, 等. 小型光伏发电系统中的高增益DC-DC变换器综述[J]. 通信电源技术, 2010, 27(6): 1-5.

[7] 王倩倩, 胡雪峰, 李永超, 黄媛媛. 用于可再生能源发电的改进的平方型Boost变换器[J]. 电气应用, 2016, 35(16): 41-46.

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