New charge simulation method for numerical conformal mapping of ring domains

1997 ◽  
Vol 14 (2) ◽  
pp. 295-301 ◽  
Author(s):  
Tetsuo Inoue
Keyword(s):  
Conformal Mapping ◽  
Simulation Method ◽  
Charge Simulation Method ◽  
Numerical Conformal Mapping ◽  
Ring Domains

scholarly journals Improving the Accuracy of the Charge Simulation Method for Numerical Conformal Mapping

2017 ◽  
Vol 2017 ◽  
pp. 1-9
Author(s):  
Fuming Lai ◽  
Yingzi Wang ◽  
Yibin Lu ◽  
Jian Wang
Keyword(s):  
Conformal Mapping ◽  
Dynamic System ◽  
Mapping Function ◽  
Constraint Equation ◽  
Simulation Method ◽  
Conformal Radius ◽  
Kutta Method ◽  
Charge Simulation Method ◽  
Numerical Conformal Mapping ◽  
Runge Kutta Method

In this paper, we present a method to improve the accuracy of the charge simulation method for numerical conformal mapping. The method constructs the constraint equation by using the charge simulation method. The charges and the conformal radius are computed by using the Runge-Kutta method based on the dynamic system of the constraint equation. By using this method, we can obtain new approximated conformal mapping function and improve the accuracy of numerical conformal mapping compared to the charge simulation method for numerical conformal mapping proposed by Amano. Furthermore, the corresponding numerical results are shown to illustrate the performance of the proposed method.

Calculation of Power Frequency Electric Field under Overhead Lines with Complex Ground

2013 ◽  
Vol 441 ◽  
pp. 212-216
Author(s):  
Zhen Guang Liang ◽  
Yu Ze Jiang ◽  
Di Wen Jiang ◽  
Zong Jie Liu
Keyword(s):  
Electric Field ◽  
Surface Charge ◽  
Simulation Method ◽  
Three Dimension ◽  
Charge Simulation Method ◽  
Overhead Lines ◽  
Straight Line ◽  
Power Frequency ◽  
Frequency Electric Field ◽  
Distribution Of Electric Field

This paper studied influence of three dimension complex ground on electric field under overhead lines. Surface charge method is discussed and planar triangle surface charge elements are used to represent complex ground. Electric field of overhead lines is analyzed by charge simulation method. Finite straight line charges are used to represent conductors. Then electric field of 220kV double circuit overhead lines over a three dimension small hill is calculated and distribution of electric field 1.5m above the ground is analyzed.

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