基于交替方向隐式平衡截断法的直驱风电场次同步振荡分析的模型降阶研究
摘要：研究了直驱风电场次同步振荡分析的降阶模型，提出了基于交替方向隐式(alternating direction implicit，ADI)的平衡截断方法。首先，根据直驱式永磁同步风电机组的数学表征搭建风电场的数学模型，采用ADI方法迭代求解李亚普诺夫方程，得到可控的格莱姆矩阵与可观的格莱姆矩阵；然后，采用平衡截断的方法得到降阶模型；通过对比全阶模型与降阶模型的时域仿真波形、Bode图、计算耗时以及次同步振荡模式，验证了方法的有效性。仿真结果表明，降阶模型与全阶模型具有很好的一致性，同时计算速度提高，降阶阶数大大降低。
Abstract:A reduced order model for subsynchronous oscillation analysis of direct drive wind farm was studied, and a balanced truncation method based on alternating direction implicit (ADI) was proposed. Firstly, the mathematical model of wind farm was built according to the mathematical representation of direct-driven permanent magnet synchronous wind turbine. The ADI method was used to solve the Lyapunov equation iteratively, and the controllable and observable Gramm matrixs were obtained. Then, the balanced truncation method was used to obtain the reduced order model. The time domain simulation waveform, Bode diagram, calculation time and subsynchronous oscillation mode of the full order model and the reduced order model were compared to verify the effectiveness of the proposed method. The simulation results show that the reduced order model has good consistency with the full order model, and the calculation speed is improved and the number of reduced order is greatly reduced.
标题：基于交替方向隐式平衡截断法的直驱风电场次同步振荡分析的模型降阶研究
title:Research on Model Reduction of Direct Drive Wind Farm Subsynchronous Oscillation Analysis Based on Alternating Direction Implicit Balanced Truncation Method
作者：王进钊, 严干贵, 刘侃
authors:Jinzhao WANG, Gangui YAN, Kan LIU
关键词：直驱风电场,交替方向隐式(ADI),次同步振荡,模型降阶,平衡截断法,
keywords:direct drive wind farm,alternating direction implicit (ADI),subsynchronous oscillation,model reduction,balanced truncation method,
发表日期：2023-12-31
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