基于Routh法和最小二乘法的分布式风电机组变速恒频控制

贺昆1; 潘小雷2; 孟庆超2; 候坤2; 张伟2; 王江东2

基于Routh法和最小二乘法的分布式风电机组变速恒频控制

引用本文：贺昆1，潘小雷2，孟庆超2，候坤2，张伟2，王江东2.基于Routh法和最小二乘法的分布式风电机组变速恒频控制[J].计算技术与自动化,2026,(1):178-182

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作者	单位
贺昆1，潘小雷2，孟庆超2，候坤2，张伟2，王江东2	（1.兰西晟晖发电有限公司,黑龙江绥化 152000；2.北京京能国际控股有限公司东北分公司,吉林长春 130117）

中文摘要:风电机组在运行时会受到风速的影响，难以保持最佳的运行状态，导致控制性能不理想，输出功率较低。对此，提出了基于Routh法和最小二乘法的分布式风电机组变速恒频控制方法。计算风电机组的输出功率，构建风电机组功率-转速方程，分析其运行状态，在Routh法的作用下，利用传递函数构建风电机组运行状态的特征方程，再生成Routh判据，并建立Routh表，对风电机组的稳定性进行判断。以风电机组稳定性和最大输出功率为目标，设定目标函数和约束条件，构建风电机组变速恒频控制模型，利用最小二乘法求解分布式风电机组变速恒频控制参数。实验结果表明，该方法在实际应用中能够在风速变化下使输出功率上升幅度最大达到102.3%，风能利用率为94.15%，控制鲁棒性较好。

中文关键词:Routh法最小二乘法分布式风电机组变速恒频控制发电机

Distributed Wind Turbine Variable Speed Constant Frequency Control Based on Routh Method and Least Squares Method

Abstract:Wind turbines are affected by wind speed during operation, making it difficult to maintain optimal operating conditions, resulting in suboptimal control performance and the low output power. A distributed variable speed constant frequency control method for wind turbines based on Routh method and least squares method is proposed. Calculate the output power of the wind turbine, construct the power-speed equation of the wind turbine, analyze its operating status, use the transfer function under the Routh method to construct the characteristic equation of the wind turbine operating status, generate the Routh criterion, and establish the Routh table to judge the stability of the wind turbine. Targeting the stability and maximum output power of wind turbines, setting objective functions and constraints, constructing a variable speed constant frequency control model for wind turbines, and using the least squares method to solve the distributed variable speed constant frequency control parameters of wind turbines. The experimental results show that this method can increase the output power by up to 102.3% under wind speed changes in practical applications, with a wind energy utilization rate of 94.15% and good control robustness.

keywords:Routh method least squares method distributed wind turbines variable speed constant frequency control alternator

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