电工技术学报  2015, Vol. 30 Issue (18): 76-82    DOI:
电力电子 |
基于线性化Poincaré映射模型的非线性电力电子系统控制方法
王刚1, 侍乔明2, 付立军1, 纪锋1, 陈宇航1, 蒋文韬1
1. 海军工程大学舰船综合电力技术国防科技重点实验室 武汉 430033;
2. 西安交通大学电气工程学院 西安 710049
Control Method of Nonlinear Power Electronics Systems Based on the Linearized Poincaré Mapping Model
Wang Gang1, Shi Qiaoming2, Fu Lijun1, Ji Feng1, Chen Yuhang
1. National Key Laboratory for Vessel Integrated Power System Technology aval University of Engineering Wuhan 430033 China;
2. Xi’an Jiaotong University Xi’an 710049 China
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摘要 进行非线性电力电子系统动态性能分析时,状态空间平均法误差较大,数值仿真法物理概念不清晰。比较而言,Poincaré映射法更准确且可得到解析方程来表示采样时刻离散状态变量的动态响应,但利用该方法进行系统控制还有待于进一步研究。本文考虑控制变量的影响,建立线性化Poincaré映射模型,以系统稳定裕度指标为目标,优化控制参数,建立了基于线性化Poincaré映射模型的非线性电力电子系统控制方法。该方法将Poincaré映射应用于系统控制设计,能够有效提高系统的动态性能。仿真试验验证了算法的有效性。
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关键词 非线性电力电子系统周期轨道Poincaré映射动态性能控制    
Abstract:When analyzing the dynamic performance of the nonlinear power electronics systems, the state space averaging method has lower accuracy and the numerical integration method does not have clear physical concept. Comparatively, the Poincaré mapping analysis method is more accurate and can be expressed with analytic equations to reflect the dynamic response of the state variables at its discrete sampling instant. But further research is still needed for its applications in the system control design. Considering the influence of the control variables, this paper sets forth the linearized Poincaré mapping model for nonlinear power electronics control systems. With system stability margin index as the objective, the control parameters are optimized. This method applies Poincaré mapping model to the system control design and can improve system dynamic performance effectively. Simulation tests verify the validity of the algorithm.
Key wordsNonlinear power electronics systems    periodic orbit    Poincaré    mapping    dynamic performance    control   
收稿日期: 2013-08-28      出版日期: 2015-10-20
PACS: TM46  
基金资助:国家自然科学基金(51077130、51377167)和国家重点基础研究发展计划(973计划)(2012CB215103)资助项目
作者简介: 王 刚 男,1970年生,博士,研究员,研究方向为电力系统分析与控制。侍乔明 男,1987年生,博士研究生,研究方向为电力系统分析与控制。
引用本文:   
王刚, 侍乔明, 付立军, 纪锋, 陈宇航, 蒋文韬. 基于线性化Poincaré映射模型的非线性电力电子系统控制方法[J]. 电工技术学报, 2015, 30(18): 76-82. Wang Gang, Shi Qiaoming, Fu Lijun, Ji Feng, Chen Yuhang. Control Method of Nonlinear Power Electronics Systems Based on the Linearized Poincaré Mapping Model. Transactions of China Electrotechnical Society, 2015, 30(18): 76-82.
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