MATLAB Code Implementation for Charge Simulation Method Calculation

The Charge Simulation Method is a numerical computational technique used for calculating electric field distributions, particularly suitable for electrostatic field problems involving complex geometries. This method operates on the fundamental principle of approximating the influence of actual charges by deploying fictitious simulation charges, thereby solving for potential and electric field strength distributions within the domain. The arrangement of simulation charges constitutes one of the core steps in this method. Basic simulation charges typically include point charges, line charges, or surface charges, with their positions and magnitudes determined based on boundary conditions. The placement process must adhere to symmetry principles and boundary matching rules to ensure computational accuracy. For instance, when dealing with conductor boundaries, simulation charges are usually positioned inside the conductor to satisfy the equipotential condition on the conductor surface. In MATLAB implementation, this involves defining charge coordinates using arrays and implementing geometric validation checks through conditional statements. The solution for domain电场 primarily relies on the superposition principle and boundary condition constraints. By solving the system of potential equations generated by simulation charges at boundary points, the strengths of individual simulation charges can be determined. Subsequently, these charges are used to calculate potential and electric field distributions throughout the entire domain. In MATLAB, this process typically involves matrix operations such as solving linear equations using the backslash operator (\) or linsolve function to obtain charge strengths, followed by field distribution calculations through interpolation techniques or analytical formulas implemented via custom functions. The Charge Simulation Method finds extensive applications in high-voltage insulation design and electromagnetic compatibility analysis. Its advantages include high computational efficiency and suitability for complex geometric structures. However, careful attention must be paid to the rationality of simulation charge arrangements, as improper placement may compromise calculation accuracy. MATLAB implementations often incorporate validation routines using norm() functions to evaluate solution errors and iterative optimization algorithms for charge position refinement.