半周积分算法的几种改进算法  

Some new algorithms of the half-cycle integral algorithm

作　　者：王明磊[1] 常湧[1] 

机构地区：[1]武汉大学电气工程学院,湖北武汉430072

出　　处：《电力系统保护与控制》2009年第11期66-69,共4页Power System Protection and Control

摘　　要：半周积分算法的依据是一个正弦量在任意个半周期内绝对值的积分为一常数。积分值与积分起始点的初相角无关,通常用梯形法则近似求出,然后求得有效值。文章介绍了半周积分算法,并提出了一些改进方法。设定输入信号为纯正弦信号,对平均值代替瞬时值进行了深入的分析。用平均值可以准确求出瞬时值,进而改进梯形法则,以提高计算精确度。提出以辛卜生算法代替梯形法则,并对辛卜生算法加以改进。Half-cycle integral is based on that the integral of the absolute value of a sinusoidal quantity is a constant in any given half-cycle which is not subjected to the epoch angle of the integral starting point. Usually, it is calculated approximately via trapezoidal rule, then the virtual value. This paper presents the half-cycle integral algorithm and some modifications. Suppose the input signal is sinusoidal, it is analyzed deeply with the replacement of instantaneous value by average value. Instantaneous value can be derived accurately from the average value which renders the modification of the trapezoidal rule and the improvement of precision Modified Simpson rule is introduced to replace trapezoidal rule.

关 键 词：半周积分算法 梯形法则 辛卜生算法 微机保护 

分 类 号：TM774[电气工程—电力系统及自动化]