Abstract

The accurate calculation of electric field intensity under transmission lines is more and more important with the expansion of high voltage engineering, which largely determines the site selection and design of transmission projects. In order to get more accurate results, a methodology of a charge simulation method (CSM) combined with an intelligent optimization algorithm for a 3D calculation model is proposed in this paper. Three key points are emphasized for special mention in this optimized charge simulation method (OCSM). First, the number of sub-segments on the finite length conductor, the position and number of the simulating charge set on a sub-segment are taken as the optimization parameters for unified calculation. Secondly, the fitness function of optimization algorithm is constructed by two values, voltage relative error and electric field intensity relative error. Thirdly, a finite element method (FEM) was used to obtain the electric field intensities, which are compared with the results of the proposed algorithm. A simulation case is carried out on a 3D calculation model of 220 kV transmission lines, which verify the effectiveness of the optimization algorithm. The proposed OCSM solves the parameter optimization problem of CSM in the 3D computational model, which considers physical shape of wire span, and has the advantages of strong global search ability and higher calculation accuracy.

Highlights

  • With the expansion of the power grid and the rapid improvement of the transmission voltage level, from high voltage (110∼220 kV) to ultra-high voltage (500 kV), the strong electromagnetic field generated by the high voltage transmission lines and transformation system has brought harm to people and the environment

  • The 3D calculation method results of charge simulation method (CSM) and finite element method (FEM) are shown in Figure 8, Figure 9 separately when the calculation height of electric field intensity is 2 m

  • The 3D calculation method takes into account the change of the ground height of the conductor, which shows that the electric field intensity increases with the increasing of lines sag

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Summary

Introduction

With the expansion of the power grid and the rapid improvement of the transmission voltage level, from high voltage (110∼220 kV) to ultra-high voltage (500 kV), the strong electromagnetic field generated by the high voltage transmission lines and transformation system has brought harm to people and the environment. The problem of the electric field calculation algorithm is to get closer to real transmission line geometry to ensure the accuracy of calculation. Most of the strategies developed aim at: (1) maximizing the accuracy of electric field calculation and (2) balancing optimization accuracy, computational complexity, and calculation time. The proposed optimized charge simulation method (OCSM) has higher efficiency and shorter computation time than the finite element method; 2. PSO and GA are used to find the optimal solution that can balance ill-conditioned coefficient matrix and computational accuracy; 3. The accuracy and robustness of proposed algorithm in this paper is greater than normal charge simulation method (CSM). The remainder of this work is organized as follows: Section 2 presents the most important of the related papers, introducing the electric field calculation algorithm including CSM and finite element method (FEM), focusing on algorithms of optimization CSM.

Related Work
Charge Simulation Method Solving Electric Field Near Transmission Lines
Fitness Function
The Relative Calculation Error between Check Points and Match Points
The Calculation Error between CSM and FEM
Optimized Charge Simulation Method
Particle Swarm Optimization
Genetic Algorithm
The Analysis of Calculation Example
Calculation Results of CSM and FEM
Optimization Results and Analysis
Optimized Parameters Based on 2D Calculation Model
Optimized Parameters Based on 3D Calculation Model
Experiment Verification and Conclusion
Conclusions
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