Super-fast algorithms for solving fields around grounding electrode using Markov Chains - Monte Carlo Method

Abstract

This paper describes solving of fields around grounding electrode using Markov Chains - Monte Carlo Method (MCMC). For systems with a very large number of elements and millions of equations which need to be solved, this method is often not applicable as it requires very long computation time. Therefore, it is necessary to improve existing algorithms and methods or develop new ones. The paper presents such attempt - development and application of Conjugate Gradient Method (CGM) mathematical model with Compressed Row Storage (CRS) format in solving fields around grounding electrode. For this, MCMC is used on two-dimensional model with set boundary conditions with the aim of rapid computation of very challenging problems. As an illustration of the proposed method possible application, calculations of thermal fields in the soil around grounding electrode during intensive wave of current are presented.