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利用平衡理论进行电力系统模型降阶

, PP. 127-133

Keywords: 电力系统,平衡实现,模型降阶

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Abstract:

利用平衡实现理论系统地研究了电力系统模型降阶问题,提出了电力系统平衡实现算法,详细地分析了平衡截断和平衡残差降阶方法;然后,利用两种降阶方法,分别得到了电力系统的各阶降阶模型。最后,针对单机无穷大系统,给出了恒定控制和最优控制时各降阶模型与原系统的输出仿真曲线,并计算了两种降阶方法的各降阶系统的绝对误差、相对误差以及它们的误差上界。仿真分析和误差计算结果表明对于系统Hankle奇异值满足第k个奇异值远远大于第k+1个奇异值时,k阶降阶系统保留了原系统动态过程的高频成分,与原系统动态过程基本一致,误差很小;对于低于k阶的降阶系统,虽然误差较大,但保留了原系统的稳定性,这将对于大规模电力系统分层控制的高层模型的降阶研究具有重要意义。

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