三维正弦稳态场矢量最大值的直接计算方法  

Direct Calculation Method for Maximum of 3-D Sinusoidal Steady-State Field Vector

作　　者：王泽忠[1] 刘士利[1] 黄颖[1] 

机构地区：[1]华北电力大学高电压与电磁兼容北京市重点实验室北京102206

出　　处：《电工技术学报》2012年第4期1-6,共6页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金(50707008);国际科技合作计划(2007DFA71250)资助项目

摘　　要：基于矢量相量推导了三维正弦稳态场矢量最大值、最小值及方向余弦的直接计算公式,并将二维情况作为特例纳入公式体系;研究了三维正弦稳态场矢量端点轨迹,利用坐标变换,证明了端点轨迹是三维空间的椭圆,且椭圆长、短半轴分别对应场矢量模的最大值和最小值。将公式应用于特高压交流变电站空间电场的计算,通过对比计算结果和测量结果,验证了公式的正确性。Sinusoidal steady-state field exists widely in power transmission and transformation system and other practical engineering.It is very important to carry research to its variation law and maximum.So further study on three dimensional sinusoidal steady-state field is required to compute the maximum and understand the endpoint trajectory of three dimensional field vector.In this paper,analytical formulas for the maximum,the minimum and direction cosine of 3-D sinusoidal steady-state field are deduced based on phasor.It is demonstrated that the endpoint trajectory is an elliptical orbit in three dimensional space by coordinate transformation.The availability of the formulas is verified by comparing the computational results with the measured results.

关 键 词：三维正弦稳态 矢量 最大值 椭圆 轨迹 

分 类 号：TM154.1[电气工程—电工理论与新技术]