Modification of Mathematical Model for Electromagnetic Calculation of Cable with Single-Ended Grounded System

In this paper, the corrected mathematical model for electromagnetic calculation of cable grounding system with single-ended grounding is investigated in order to solve the errors caused by the existence of complex ground network and unknown conductors and other factors on the calculation results in practical applications. Combined with the actual measurement data, the superposition theorem and chi-square theorem are used for mathematical modeling and correction. The corrected model can output the expected results when the input excitation changes. The corrected model in this study can more accurately invert the electromagnetic induction results of the cable grounding system, and provide theoretical support for the calculation of actual induced electric parameters in cable engineering.

I. Introduction

The cable grounding system plays a vital role in ensuring the safety and electromagnetic shielding of the power grid. It not only provides the necessary grounding protection for the safe operation of cables but also reduces interference to the surrounding environment through demagnetization [1]–[4]. However, the electromagnetic effects of the extensive ground network, the presence of unknown conductors in the ground, and the complex geological conditions may result in variations in the electromagnetic field distribution. These variations can lead to errors in the theoretical calculations of the cable grounding system conducted by researchers. Therefore, electromagnetic correction is necessary to ensure the accuracy and reliability of the grounding system.