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LLC谐振变换器PO模式增益公式与模式边界条件分析
作者:
作者单位:

合肥工业大学电气与自动化工程学院,安徽省 合肥市 230009

作者简介:

刘硕(1988—),男,博士研究生,主要研究方向:新能源发电与储能系统。E-mail:liushuo2010@126.com
苏建徽(1963—),男,博士,教授,博士生导师,主要研究方向:太阳能发电技术、电力变换节能技术。E-mail:su_chen@126.com
赖纪东(1981—),男,博士,副教授,硕士生导师,主要研究方向:分布式微电网技术、电力变换节能技术。E-mail:laijidong@126.com

通讯作者:

张 健(1977—),男,通信作者,博士研究生,助理研究 员,主要研究方向:无线电能传输技术、电力变换节能技术。E-mail:zhangjian_pv@sohu.com

基金项目:

国家重点研发计划资助项目(2018YFB0904100);国家电网公司科技项目(SGHB0000KXJS1800685)。


Analysis on Gain Formula and Mode Boundary Condition for LLC Resonant Converter in PO Mode
Author:
Affiliation:

School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China

Fund Project:

This work is supported by National Key R&D Program of China (No. 2018YFB0904100) and State Grid Corporation of China (No. SGHB0000KXJS1800685).

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    摘要:

    电压增益-频率特性的求解是LLC谐振变换器设计的关键。变换器中整流电路存在的非线性使变换器具有多种工作模式,而电压增益-频率特性与工作模式密切相关。PO模式是一种有利于减少变换器开关损耗的断续工作模式,但在该模式下,变换器的增益频率特性计算烦琐,难以求解。文中基于子区间分析法,分析了PO模式下LLC谐振变换器的工作特性,推导了简洁易算且精度较高的电压增益计算公式;依据变换器整流电路的非线性特征,给出了解析且简洁的断续工作模式功率边界条件及PO工作模式功率边界条件的表达式。搭建了LLC谐振变换器的仿真模型和实验样机,仿真和实验结果证实了所提出的电压增益公式及工作模式边界条件的正确性。

    Abstract:

    The calculation of voltage gain-frequency characteristic is vital in the design of LLC resonant converter. The LLC converter have various operation modes due to the existence of nonlinearity in the rectifier part of the converter. And the voltage gain-frequency characteristic is closely related to operation modes. The PO mode is a discontinuous conduction mode (DCM), which is beneficial to reduce switching losses of the converter. However, the voltage gain-frequency characteristic of converter in the PO mode is hard to be solved because it involves complex computations. On the basis of subinterval analysis method, this paper analyzes the operation characteristics in the PO mode of LLC resonant converter, and deduces a simplified and high-accuracy calculation formula of voltage gain. In addition, the parsing and concise expressions of power boundary conditions both in DCM mode and PO mode are provided according to the nonlinear characteristic in the rectifier part of the converter. Finally, a simulation model and an experimental prototype of LLC converter are developed. The simulation and experiment results verify the validity of the deduced voltage gain formula and power boundary condition.

    表 1 Table 1
    图1 LLC谐振变换器拓扑Fig.1 Topology of LLC resonant converter
    图2 不同模式下的电压与电流波形Fig.2 Voltage and current waveforms in different modes
    图3 LLC谐振变换器的电压增益-频率特性Fig.3 Voltage gain-frequency characteristic of LLC resonant converter
    图4 LLC谐振变换器等效电路Fig.4 Equivalent circuit of LLC resonant converter
    图5 PO模式下电压与电流波形Fig.5 Voltage and current waveforms in PO mode
    图6 不同RL值下开关频率-电压增益关系Fig.6 Relationship between switching frequency and voltage gain with different values of RL
    图7 不同Lm值下开关频率-电压增益关系Fig.7 Relationship between switching frequency and voltage gain with different values of Lm
    图 等效电阻模型Fig. Equivalent resistance model
    图 ω≥ω0时的等效电路Fig. Equivalent circuit when ω≥ω0
    图 不同模式O状态附近仿真波形Fig. Simulation waveforms nearby O state under different modes
    图 PO模式实验波形Fig. Experimental waveforms under PO mode
    图 PN模式实验波形Fig. Experimental waveforms under PN mode
    图 P状态振荡正半周期等效电路Fig. Equivalent circuit in oscillating positive half cycle under P state
    图 P状态振荡负半周期等效电路Fig. Equivalent circuit in oscillating negative half cycle under P state
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引用本文

刘硕,苏建徽,赖纪东,等.LLC谐振变换器PO模式增益公式与模式边界条件分析[J].电力系统自动化,2020,44(6):164-170. DOI:10.7500/AEPS20190408002.
LIU Shuo,SU Jianhui,LAI Jidong,et al.Analysis on Gain Formula and Mode Boundary Condition for LLC Resonant Converter in PO Mode[J].Automation of Electric Power Systems,2020,44(6):164-170. DOI:10.7500/AEPS20190408002.

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  • 收稿日期:2019-04-08
  • 最后修改日期:2019-09-16
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  • 在线发布日期: 2020-03-21
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