A Detection Method for Fast Electrical Impedance Imaging of Grounding Grid Based on Optimized Differential-Multigrid-Homotopy Algorithm

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Abstract
Efficient electrical impedance imaging fault detection in grounding grid is necessary. In this paper, we propose an optimized differential-Multigrid-Homotopy algorithm for grounding grid impedance imaging. To enhance the iteration speed, we introduced an optimized differential algorithm to obtain the Jacobian matrix and derive calculation methods for the two-dimensional constraint operator and interpolation operator. Moreover, we utilize multigrid fast iteration and homotopy methods simultaneously to improve the rapidity and ill-posedness of the inverse problem. We validate the proposed algorithm through numerical simulations and experimental studies. First, we verify the time and convergence of the optimized differential algorithm for solving the Jacobian matrix. Secondly, we investigate the CPU time and convergence of image reconstruction based on the Tikhonov algorithm, HT algorithm, and Multigrid-Homotopy (MG-HT) algorithm under different ground grid fault scenarios and noise levels. The simulation and experimental results show that the optimized differential-Multigrid-Homotopy algorithm has better robustness and convergence.
Funding Information
  • Liaoning Provincial Department of Science and Technology for General Projects (2021-MS-338)
  • Open Project of the China Poland Measurement and Control Technology “the Belt and Road” Joint Laboratory (MCT202305)

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