基于一类新的预估—校正策略的电力系统暂态稳定快速仿真算法

摘要

针对GPU特别适合于矢量并行计算这一特点,提出了一类新的基于预估一校正策略的暂态稳定快速仿真方法.该方法首先采用Taylor级数法预估状态变量值,然后利用基于Padé对角逼近的隐式高阶数值积分方法对预估值进行校正.该方法集合了显式Taylor级数法与隐式高阶积分方法两者的优点,具有计算快速、精度高、数值稳定性较好、适合于矢量并行计算等优点.以IEEE145节点系统为例,对所提出的方法进行了分析测试.结果表明,该方法在增加很少计算量的前提下比单纯的Taylor级数法具有更高的计算精度,相对于CPU计算,在GPU上可以获得10倍以上的加速比.%Taking the characteristic that GPU is particularly suitable for vector parallel computing into consideration,this paper presents a kind of fast calculation methods for transient stability which are based on the predictor-corrector strategy.The proposed method uses the Taylor series method to obtain an approximate value at first,then the approximate value is corrected by the implicit high-order finite difference scheme which is based on the diagonal Padé approximation.This method combines the advantages of the Taylor series method and implicit high order integral method,such as high calculation speed,high precision,good stability and so on.What's more,it is suitable for vector parallel computing.The proposed algorithm has been tested on the IEEE145 nodes system.The simulation results show that the calculation accuracy of the new method is higher than the Taylor series method as it almost does not increase the amount of calculation.And compared with the CPU calculation,the new method can obtain more the 10 times speedup when it runs on the GPU.