3D Modelling and simulation analysis of electric field under HV overhead line using improved optimisation method

Abstract

This study proposes a three‐dimensional (3D) quasi‐static modelling of the electric field produced by high voltage (HV) overhead power lines using charge simulation method combined with intelligent optimisation algorithms, such as particle swarm optimisation, genetic algorithm and grey Wolf optimiser (GWO), to find the optimal values of parameters for an accurate calculation. Results show that the GWO works better than other algorithms. Several parameters affecting the electric field have been studied; it is observed that taking into account the effect of the exact catenary curve of the power line conductors is much more interesting particularly at the mid‐span level where the electric field becomes very significant. According to these values, the limits set by the International Commission on Non‐Ionising Radiation Protection guidelines for electric field strength are met for occupational and public exposure. The simulation results are compared with those obtained by the 3D Integration method, a fairly good agreement is found. To confirm the performance and effectiveness of the proposed method, the results obtained are also verified with measurement values available in the literature, a good similarity is achieved.

Assessment of electrical interference on metallic pipeline from HV overhead power line in complex situation

“…The values of these fictitious charges are evaluated by satisfying the boundary conditions at a number of selected points called contour points on the surface of the conductor. Once these values of the fictitious charges are known, the potential of any point in the region outside the conductors can be determined using the superposition principle as follows [9][10][11][12][13][14][15][16][17].…”

“…Where nt is the number of discrete fictitious charges and Pij, called the potential coefficient, means the potential at point (i) caused by a unit charge of qj. It depends on the relative distance between the contour point (i) and the fictitious charge (j), which can be expressed by the following equation [9][10][11][12][13][14][15][16][17].…”

“…Firstly, the values of the fictitious charges are determined by solving the linear system given in equation ( 3) below [9][10][11][12][13][14][15][16][17]:…”

“…The simulation is acceptable if this relative error value is less than the selected precision. If not, the simulation procedure should be repeated by changing the number and/ or the position of the simulation charges [9][10][11][12][13][14][15][16][17].…”

“…The two-dimensional (2-D) coordinates of the fictitious charges and contour points in the cross section of the conductor/pipeline are shown in Fig. 2 The general equations of the coordinates of contour points and fictitious charges are obtained very simply using the following two formulas [9,10,16,17…”