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电力系统动态安全域线性近似方法比较

期刊名称：薛安成, 胡伟, 梅生伟, 倪以信, 吴复立. 电力系统动态安全域线性近似方法比较.电力系统自动化,
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分类：TM712[电气工程—电力系统及自动化]
作者机构：[1]清华大学电机系电力系统国家重点实验室,北京市100084, [2]清华大学深圳研究生院,广东省深圳市518055, [3]香港大学电机电子工程学系,香港
相关基金：国家重点基础研究发展计划（973计划）资助项目（2004CB217900）;国家自然科学基金资助项目（50377018,50595411）;香港政府大学研究基金资助项目（HKU7176/03E）.
相关项目：影响超大规模电力系统安全性的动态行为与特征

关键词：动态安全域, 线性近似, 暂态稳定, 稳定域, dynamic security region, linear approximation, transient stability, stability region

中文摘要：

分析比较了网络约化模型下电力系统动态安全域的3种线性近似方法的综合效能，分别为：基于稳定域二次近似的动态安全域线性近似（Q线性近似）、基于稳定域线性近似的动态安全域线性近似（L线性近似）和基于稳定域边界法向量恒定假设的动态安全域近似（L0线性近似）。其共同之处为在事先搜索而得的处于动态安全域边界的临界点处应用相应的近似刻画方法。文中以最小二乘拟合搜索得到的临界点所获得的线性近似为基准，分析比较了上述3种线性近似对安全域边界刻画的准确程度；特别是对于低雏的动态安全域，以搜索获得的真实动态安全域为基准，采用图示方法直接比较不同线性近似的近似程度。仿真分析表明：在具有事先搜索的临界点时，3种线性近似方法均能准确地近似动态安全域的局部边界；同时，L0线性近似和L线性近似计算量小，更适用于大型电力系统。

英文摘要：

This paper compares the performance of three types of linear approximations for the dynamic security region of power system with network-reduction model. The three types of linear approximations are the Q-linear approximation based on the quadratic approximation of stability region, the L-linear approximation based on the linear approximation of stability region and the L0-1inear approximation based on the invariant assumption of the normal vector of stability region. The linear approximations are obtained with a critical point just on the boundary of dynamic security region. In the comparison, the linear approximation obtained by the least square curve fitting method is used as the benchmark. Furthermore, for the dynamic security region in low dimension, the figure with the searched critical point is used to directly compare the accuracy of different approaches. Simulations in IEEE 3-machine 9-bus system and 10-machlne 39-bus New England system show that, with a given critical point, all the three types of approximations display fairly accurate estimation. Furthermore, from the computational viewpoint, the L-linear and the L0-1inear method with less computational burden are two alternative choices to approximate the dynamic security region.

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