| 引用本文: | 王诗楠,郭希铮,孙宗辉,王玉乐,游小杰.基于FPGA的电力电子变换器随机实时仿真建模方法[J].电力自动化设备,2025,45(2):110-118. |
| WANG Shinan,GUO Xizheng,SUN Zonghui,WANG Yule,YOU Xiaojie.Stochastic real-time simulation modeling method of power electronic converter based on FPGA[J].Electric Power Automation Equipment,2025,45(2):110-118. |
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| 摘要: |
| 确定性模型无法对系统的随机特性进行准确描述，而目前的随机模型难以应用于现场可编程门阵列(FPGA)的实时仿真。基于广义多项式混沌展开方法建立电力电子变换器的随机实时仿真模型，针对复杂概率分布随机变量以及高复杂度系数矩阵导致的硬件资源消耗问题，提出一种最优正交多项式基函数的构建方法，减少FPGA的计算资源消耗，并提高模型精度。以三相脉宽调制整流器作为研究对象，通过离线仿真验证所提建模方法的准确性与有效性；并基于FPGA的实时仿真平台，搭建变换器的随机实时仿真模型。离线与实时仿真结果表明，所提模型可以实时求解系统输出响应的统计矩信息，高效地反映系统概率运行情况。 |
| 关键词: 电力电子变换器 广义多项式混沌展开 随机仿真模型 不确定性分析 多随机变量 FPGA 实时仿真 |
| DOI：10.16081/j.epae.202407011 |
| 分类号:TM46 |
| 基金项目:中央高校基本科研业务费专项资金资助项目(2022JBXT006) |
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| Stochastic real-time simulation modeling method of power electronic converter based on FPGA |
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WANG Shinan1, GUO Xizheng1, SUN Zonghui1, WANG Yule1, YOU Xiaojie1,2
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1.School of Electrical Engineering, Beijing Jiaotong University, Beijing 100044, China;2.Collaborative Innovation Center of Railway Traffic Safety, Beijing Jiaotong University, Beijing 100044, China
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| Abstract: |
| The stochastic characteristics of the system cannot be accurately described by the deterministic models, and it is difficult to apply the stochastic model to the real-time simulation of field-programmable gate array(FPGA). The stochastic real-time simulation model of power electronic converter is established based on generalized polynomial chaos expansion method. Aiming at the problem of hardware resource consumption caused by the complex probability distribution stochastic variables and the highly complex chaos expansion coefficient matrix, a construction method of optimal orthogonal polynomial basis function is proposed to reduce the computational resource consumption of FPGA and improve the model accuracy. Taking a three-phase pulse width modulation rectifier as the research object, the accuracy and effectiveness of the proposed modeling method are verified by off-line simulation. Based on the real-time simulation platform of FPGA, the stochastic real-time simulation model of the converter is built. The off-line and real-time simulation results show that the proposed model can solve the statistical moment information of the system output response in real time and reflect the probabilistic operation of the system efficiently. |
| Key words: power electronic converters generalized polynomial chaos expansion stochastic simulation model uncertainty analysis multiple stochastic variables FPGA real-time simulation |
