电阻电容和电感元件在交流电中的星-三角等效变换研究和仿真

基于纯电阻的Y-△等效变换和交流电的相量运算规则,对电阻、电容和电感元件的星形连接和三角形连接进行等效变换.在变换过程中利用基尔霍夫电压和电流定律,并结合相量的代数式、指数式和极坐标式来对相应方程进行运算,最后得出电阻、电容和电感的Y-△等效变换公式,并对其进行相应的仿真验证.通过计算和仿真发现,对于纯元件电路中,当Z L+Z C=0时其等效变换可以进行,否则就不能进行等效变换.

Study and simulation on Y-△ Equivalent Transformation of Resistance,Capacitance and Inductance Components in Alternating Current

Based on pure resistance as Y-△the phasor of equivalent transformation and alternating current(ac)algorithm,in this paper,the resistance,capacitance and inductance components of star connection to conduct an equivalent conversion and the triangle connection.In the process of transformation by using kirchhoff's voltage and current law,combining with the algebraic expression of phasor,exponential equation and polar coordinates to corresponding operations,finally concluded as resistance,capacitance and inductance Y-△equivalent transformation formula,and carries on the corresponding simulation.Through calculation and simulation,it is found that for a pure component circuit,the equivalent transformation can be performed when Z L+Z C=0,otherwise the equivalent transformation cannot be performed.