谐振DC-DC变换器的忆阻电路动态模型

陆益民; 尹志红; 张波

doi:10.15938/j.emc.2025.12.010

欢迎来到能源电力期刊网！

English Version 期刊登录

您当前的位置：

首页 >

文章列表页 >

谐振DC-DC变换器的忆阻电路动态模型

更新时间：2026-09-29

- 谐振DC-DC变换器的忆阻电路动态模型
- Memristive circuit dynamic model of resonant DC-DC converters
- 电机与控制学报 2025年29卷第12期页码：111-122
- 作者机构：
  
  广西大学电气工程学院，广西南宁 530004
  华南理工大学电力学院，广东广州 510641
- 作者简介：
  
  通信作者：陆益民
  尹志红（1996—），男，博士研究生，研究方向为电力电子变换器建模、分析与控制；
  张波（1962—），男，博士，教授，博士生导师，研究方向为电力电子系统建模、分析与控制。
- 基金信息：
  
  国家自然科学基金(52167021);广西研究生教育创新计划资助项目(YCBZ2023044)
- DOI：10.15938/j.emc.2025.12.010
  中图分类号： TM46
- 收稿：2024-10-21，
  
  纸质出版：2025-12
- 稿件说明：
移动端阅览
陆益民, 尹志红, 张波. 谐振DC-DC变换器的忆阻电路动态模型[J]. 电机与控制学报, 2025,29(12):111-122.

LU Yimin, YIN Zhihong, ZHANG Bo. Memristive circuit dynamic model of resonant DC-DC converters[J]. Electric Machines and Control, 2025, 29(12): 111-122.
陆益民, 尹志红, 张波. 谐振DC-DC变换器的忆阻电路动态模型[J]. 电机与控制学报, 2025,29(12):111-122. DOI： 10.15938/j.emc.2025.12.010.

LU Yimin, YIN Zhihong, ZHANG Bo. Memristive circuit dynamic model of resonant DC-DC converters[J]. Electric Machines and Control, 2025, 29(12): 111-122. DOI： 10.15938/j.emc.2025.12.010.

摘要

含桥式整流滤波电路的谐振DC-DC变换器可视为一类忆阻电路。然而，现有模型常忽略电路变量的谐波分量且将整流滤波电路等效为电阻，故难以准确描述混合调制谐振DC-DC变换器的瞬态、稳态响应与忆阻特性，给混合控制策略的设计和动力学分析带来困难。为此，提出一种基于S型函数的谐振DC-DC变换器忆阻电路动态模型。首先用S型函数对开关信号进行光滑化处理，建立可统一描述不同调制方式下开关网络的准确模型；接着，用受控源二端口网络等效表示整流桥，推导出整流滤波电路的忆阻器模型。最后，以串联谐振DC-DC变换器为例，建立其忆阻电路动态模型并进行仿真和实验验证。结果表明：相比其他模型，所提模型能更准确地描述混合调制谐振DC-DC变换器的动静态特性，为应用连续系统理论进行分析和控制奠定基础。

Abstract

Resonant DC-DC converters with bridge rectifier filter circuits are regarded as a type of memristive circuit. However

existing models often neglect the harmonic components of circuit variables and equivalently treat the rectifier-filter circuit as a resistor. Therefore

it is difficult to accurately describe the transient and steady-state responses and memristive characteristics of the hybrid modulation resonant DC-DC converter

which poses challenges for the design of hybrid control strategies and the analysis of its dynamic behavior. Therefore

a memristive circuit dynamic model was proposed based on sigmoid functions for resonant DC-DC converters. Firstly

sigmoid functions were used to smooth the switching signals and establish an accurate model that can uniformly describe the switching networks under different modulation methods. Then

the rectifier bridge was represented equivalently by a controlled-source two-port network

and the memristor model of the rectifier filter circuit was derived. Finally

taking a series resonant DC-DC converter as an example

a memristive circuit dynamic model was established

and simulation and experimental verification were carried out. The results indicate that

compared to other models

the proposed model can describe the dynamic and static characteristics of the resonant DC-DC converter under hybrid modulation more accurately

laying the foundation for the application of continuous system theory to analyze and control.

关键词

Keywords

references

鲁静,同向前,尹军,等. L-LLC谐振型双向DC-DC变换器轻载优化控制策略研究[J].电工技术学报, 2022, 37(17): 4458.

LU Jing, TONG Xiangqian, YIN Jun, et al. The optimal control strategy for L-LLC bi-directional resonant DC-DC converter under light load[J]. Transactions of China Electrotechnical Society, 2022, 37(17): 4458.

冯兴田,李紫岩,周广睿,等.输入电压波动下变模态宽增益谐振变换器研究[J].电机与控制学报, 2024,28(5): 130.

FENG Xingtian, LI Ziyan, ZHOU Guangrui, et al. Research on wide gain resonant converter with mode switching under input voltage variation[J]. Electric Machines and Control, 2024, 28 (5): 130.

何圣仲,陈宇航,代东雷,等.一种PWM控制宽输出LLC变换器[J].电机与控制学报, 2022, 26(6): 62.

HE Shengzhong, CHEN Yuhang, DAI Donglei, et al. PWM controlled wide output LLC converter[J]. Electric Machines and Control, 2022, 26(6): 62.

李福,邓红雷,张国驹,等.一种中间电容谐振型级联双向DC-DC变换器[J].电工技术学报, 2022, 37(20): 5253.

LI Fu, DENG Honglei, ZHANG Guoju, et al. A cascaded bidirectional DC-DC converter with intermediate capacitor resonance[J]. Transactions of China Electrotechnical Society, 2022, 37 (20): 5253.

KIM J W, PARK M H, HAN J K, et al. PWM resonant converter with asymmetric modulation for ZVS active voltage doubler rectifier and forced half resonance in PV application[J]. IEEE Transactions on Power Electronics, 2020, 35(1): 508.

CHENG Y T, WU H J, LIAO Y C, et al. An optimal frequencymodulated hybrid MPPT algorithm for the LLC resonant converter in PV power applications[J]. IEEE Transactions on Power Electronics, 2022, 37(1): 944.

WUJY, LI S N, TAN S C, et al. Fixed-frequency phase-shift modulated capacitor-clamped LLC resonant converter for EV charging[J]. IEEE Transactions on Power Electronics, 2022, 37 (11): 13730.

FENG J J, LI Q, LEE F C, et al. LCCL-LC resonant converter and its soft switching realization for omnidirectional wireless power transfer systems[J]. IEEE Transactions on Power Electronics, 2020, 36(4): 3828.

RATHORE A K, VAKACHARLA V R. Asimple technique for fundamental harmonic approximation analysis in parallel and series-parallel resonant converters[J]. IEEE Transactions on Power Electronics, 2020, 67(11): 9963.

TAHAVORGAR A, QUAICOE J E. Stability and small-signal analyses of the dual series-resonant DC-DC converter[J]. IEEE Transactions on Power Electronics, 2019, 34(2): 1420.

DAHL N J, AMMAR A M, KNOTT A, et al. An improved linear model for high-frequency class-DE resonant converter using the generalized averaging modeling technique[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2020, 8 (3): 2156.

宋胜利,李卓强,姚志,等.三相双有源桥式直流变换器建模与控制方法[J].电工技术学报, 2019, 34(S2): 573.

SONG Shengli, LI Zhuoqiang, YAO Zhi, et al. Modeling and closed loop control of three phase double active bridge DC transformer[J]. Transactions of China Electrotechnical Society, 2019, 34(S2): 573.

曹靖,许建平,陈一鸣,等. PWM-PFM混合控制LCC谐振变换器研究[J].中国电机工程学报, 2018, 38(12): 3629.

CAO Jing, XU Jianping, CHEN Yiming, et al. Study of PWM-PFM hybrid controlled LCC resonant converter[J]. Proceedings of the CSEE, 2018, 38(12): 3629.

李菊,阮新波.全桥LLC谐振变换器的混合式控制策略[J].电工技术学报, 2013, 28(4): 72.

LI Ju, RUAN Xinbo. Hybrid control strategy of full bridge LLC converters[J]. Transactions of China Electrotechnical Society, 2013, 28(4): 72.

URKIN T, PERETZ M M. PFM-PWMdigital controller for miniaturized high-frequency isolated LLC converters integrated in advanced IoT devices[J]. IEEE Transactions on Power Electronics, 2024, 39(1): 180.

SUN X F,SHEN Y F,LIWY, et al. A PWM and PFM hybrid modulated three-port converter for standalone PV/battery power system[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2015, 3(4): 984.

RYU S H,KIM DH,KIM M J, et al. Adjustable frequency-duty-cycle hybrid control strategy for full-bridge series resonant converters in electric vehicle chargers[J]. IEEE Transactions on Industrial Electronics, 2014, 61(10): 5354.

PARK H P, JUNG J H. PWMand PFM hybrid control method for LLC resonant converters in high switching frequency operation[J]. IEEE Transactions on Industrial Electronics, 2017, 64(1):253.

TANG X X, XING Y, WU H F, et al. An improved LLC resonant converter with reconfigurable hybrid voltage multiplier and PWM-plus-PFM hybrid control for wide output range applications[J]. IEEE Transactions on Power Electronics, 2020, 35(1): 185.

CORINTO F, ASCOLI A. Memristive diode bridge with LCR filter[J]. Electronics Letters, 2012, 48(14): 824.

BAO B C, YU J J, HU F W, et al. Generalized memristor consisting of diode bridge with first order parallel RC filter[J]. International Journal of Bifurcation and Chaos, 2014, 24(11): 1450143.

LUYM,DOUHP. Memristor equivalent model of an inductive wireless power transfer system based on the sigmoid function[J]. IEEE Transactions on Power Electronics, 2024, 39(5): 6455.

BAO H, WANG N, BAO B C, et al. Initial condition-dependent dynamics and transient period in memristor-based hypogenetic jerk system with four line equilibria[J]. Communications in Nonlinear Science and Numerical Simulation, 2018, 57: 264.

CHEN M, SUN M X, BAO H, et al. Flux-charge analysis of two-memristor-based Chua's circuit: dimensionality decreasing model for detecting extreme multistability[J]. IEEE Transactions on Industrial Electronics, 2019, 67(3): 2197.

LU Y M, WEI X F, HUANG X F, et al. Memristive characteristics and extreme multistability ofLLC DC-DCresonant converters[J]. IEEE Transactions on Industrial Electronics, 2024, 71 (7): 7020.

LU Y M, HUANG X F, HUANG Y Z, et al. Sigmoid function model for a PFM power electronic converter[J]. IEEE Transactions on Power Electronics, 2019, 35(4): 4233.

LU Y M, ZHONG S W. Sigmoid function model for a PWM DC-DCconverter[J]. IEEE Transactions on Power Electronics, 2023, 38(12): 15327.

CHUA L. Everything you wish to know about memristors but are afraid to ask[J]. Radioengineering, 2015, 24(2): 319.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

Z源逆变器的状态反馈控制策略

失速型风电机组机网扭振的模型与机理

直升机旋转逆动力学建模及姿态控制研究(英文)

基于GA-ANFIS的开关磁阻电机建模

高速笼式实心转子感应电机转子拓扑及尺寸设计