求解电力系统动态安全域的改进解析法

Improved Analytic Method for Solving Power System Dynamic Security Region

电力系统动态安全域是电力系统安全性研究的重要方面,其解析法求解速度很快,但误差较大。大量计算发现,解析法求得的安全域边界超平面系数和传统的拟合法求得的系数之间有较强的相关性,据此提出了求解电力系统动态安全域的改进解析法。首先在一个临界注入点处通过解析法计算得到一组平面系数,然后根据相关性和其它临界注入点的安全性信息,得到该组系数与真实值之间的偏移值,最后得到该系数的改进值。该方法在保留解析法快速性特点的基础上,显著减小了计算误差。用新英格兰10机39节点系统算例进行验证,最大误差由改进前的4.08%减小到0.50%,表明所提方法是有效的。

The methodology of dynamic security region is a significant tool for power system security analysis. Conventional analytic method can calculate DSR rapidly but with large error. It is found that the DSR boundary hyper-plane coefficients obtained by analytic method are highly correlative with those by the least-square approach. On this basis, an improved analytic method is presented in this paper. Firstly, a group of hyper-plane coefficients are solved using analytic method from one critical point. Then, the deflection is obtained according to the correlativity and other critical points＇ security information. Thus, the improved coefficients are achieved. The improved method can reduce the error obviously and preserves the speediness feature. Tests on the New England 10-generator 39 bus test system show that the largest error is reduced from 4.08% to 0.50%, which proves the validity of the proposed method.