耦合电感型Zeta变换器的参数优化方法

doi:10.16180/j.cnki.issn1007-7820.2023.01.013

摘要/Abstract

摘要：

针对耦合电感型Zeta变换器的开环频率特性复杂导致的控制器设计困难的问题,文中提出了变换器参数的优化方法。该方法通过调整变换器的电路参数,进而调整变换器幅频特性中的高频谐振峰与谐振谷的位置,使得峰谷之间相互削弱,把相频特性曲线上超过180°部分最大程度减小到180°以内,消除了输出电压响应中的高频振荡成分,降低了变换器从控制变量到输出电压之间的频率特性的复杂程度。测试结果表明,通过该方法进行参数优化后,控制变量到输出电压之间的幅频特性接近二阶系统的幅频特性,相频特性上的相位滞后小于180 °。在采用相同控制器的条件下,与优化前相比较,利用文中方法提高了控制器的带宽,改善了系统的输出电压的动态响应,增强了闭环系统的稳定性,验证了所提方法的有效性。

关键词: Zeta变换器, 耦合电感, 小信号, 频率特性, 零极点, PID控制器, 稳定性, 快速性

Abstract:

An improved robust predictive control method is proposed for a class of multicellular descriptive LPV systems with bounded state disturbances, and an output feedback controller is designed to ensure the asymptotic stability of the systems. To offset the bounded state disturbance, the controller considered the undisturbed LPV system, and based on the off-line state observer, the LMI is used to solve the minimum-maximum optimization problem in the infinite time domain of predictive control. Then the off-line state observer is used to obtain the difference between the estimated values of the disturbed LPV system and the undisturbed LPV system, and the feedback gain of the guaranteed performance is determined, so as to obtain the optimal offset that makes the disturbed LPV system asymptotically stable, which is combined with the undisturbed system control law as the optimal control law and applied to the actual system. The experimental results show that the improved robust predictive control method can obtain better control performance, and improve the stability of the system and the efficiency of solving optimization problems. Simulation experiments also verify the effectiveness of the proposed algorithm.

Key words: Zeta converter, coupled-inductor, small-signal, frequency profile, zero-pole, PID controller, stability, rapidity

中图分类号:

TN73

徐邦贤,刘晓波,韩祥民,邱知,唐辉,范津玮. 耦合电感型Zeta变换器的参数优化方法[J]. 电子科技, 2023, 36(1): 88-94.

XU Bangxian,LIU Xiaobo,HAN Xiangmin,QIU Zhi,TANG Hui,FAN Jinwei. Parameter Optimization Design Method of Coupled Inductor Zeta Converter[J]. Electronic Science and Technology, 2023, 36(1): 88-94.

图/表 12

图1

图2

图3

表1

耦合电感型Zeta变换器的电路参数"

参数	大小
输入电压U_in	150 V
额定输出电流I_o	10 A
预计输出电压U_o	255 V
静态占空比D	0.63
原边绕组内阻 $r L 1$	0.10 Ω
副边绕组内阻 $r L 2$	0.10 Ω
电容C₁内阻 $r C 1$	0.05 Ω
电容C₁	10 μF
电容C₂内阻 $r C 2$	0.05 Ω
电容C₂	47 μF
输入电感L₁	84 μH
输出电感L₂	100 μH
互感M	65 μH
耦合系数k_c	0.95
L₂/ L₁	1.2

表1

图4

图5

图6

表2

耦合电感型Zeta变换器经优化的电路参数"

参数	大小
输入电压U_in	150 V
额定输出电流	10 A
预计输出电压U_o	169.5 V
原边绕组内阻 $r L 1$	0.10 Ω
副边绕组内阻 $r L 2$	0.10 Ω
电容C₁内阻 $r C 1$	0.05 Ω
电容C₂内阻 $r C 2$	0.05 Ω
静态占空比D	0.63
输入电感L₁	100 μH
耦合系数k_c	0.95
L₂/ L₁	1
输出电感L₂	100 μH
互感M	95 μH
电容C₁	160 μF
电容C₂	100 μF

表2

表3

图7

图8

图9

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输出电流I_o/A	k_max
10	2.36
11	1.98
12	1.67
13	1.40
14	1.17
15	0.98
16	0.80
17	0.65
18	0.51
19	0.39
20	0.28
21	0.18
22	0.10
23	0.01
24	-0.06