Analysis of the Optimized Compensating Loops Effect on the Magnetic Induction Due to Very-High-Voltage Underground Cable Using Grey Wolf Optimizer

Very-high-voltage (VHV) underground cables are often used to transport electrical energy in densely populated zones. This paper presents a two-dimensional computational method based on the formulation of Biot–Savart’s law to evaluate the magnetic induction levels generated by a VHV underground power cable of 275 kV and to apply an optimized shielding system for the magnetic induction using the compensating active and passive loops. The grey wolf optimizer algorithm is applied to find the optimal position of the geometric coordinates of the conductors of both passive and active loops and the capacitance value of the passive compensation. Generally, the study shows that the shielding with the compensation procedure using conductive and ferromagnetic materials can effectively reduce the magnetic induction values along the right-of-way corridor, in particular in the case of an active loop with ferromagnetic material. The simulation results obtained by the adopted method are compared with those obtained by the magnetization ellipse method. A good agreement was obtained, which can ensure the validity of the adopted method.