Numerical methods for induced voltage evaluation in electromagnetic interference problems

Numerical interpolation methods applied in electromagnetic interference problems

“…where E i is the electromotive force on the zone with length L i and L t is the length of the entire influence zone electric line-pipeline [4]. At the extremity L 1 , the influence of the line is equivalent with a voltage source with a value equal to the value of the voltage obtained with the following formula [5]: (8) and the source impedance:…”

“…Because there are only a set of available reactance measurements, for a continuous function between the magnetic permeability and electrical induced currents, it is necessary to apply numerical interpolation methods and/or nonlinear curve fitting procedures. Using numerical data from the consulted bibliography [5], [6], [7], [8] we implemented and tested a set of numerical interpolation instruments. Special attention was paid to the minimisation of the interpolation error, and to the stability of the proposed functions.…”

Shielding effect of multi-grounded neutral wire in the distribution system

“…Since the two dimensional FEM is only applicable to symmetrical cases and to cases where the pipeline has a perfect coating, Christoforidis et al [1] presented a hybrid method, which utilizes both FEM calculations and circuit analysis. A comparison method to FEM, the finitedifference method (FDM) has also been introduced in this induced voltage calculation by Micu et al [7], although its performance is not as good as FEM.…”

“…To overcome the limitations on the geometric topologies of the power lines and nearby conductors, a general applicable model, which can be used for any configuration, has been presented in Reference [4]. Meanwhile, to improve the calculation accuracy, many advanced mathematic methods have been introduced into this subject [1,[5][6][7]. Through the method of source transformations, Levey [5] presented a simplified calculation method using ladder network reduction.…”

“…However, they make it very difficult for the power system engineers to find a suitable solution to the interference problems. The real interference problems have to be analyzed case by case without a generalized solution, such as the problems encountered in References [7][8][9][10]. Especially when only a small part of the power lines is coupled with nearby conductors (this is very common for the current power systems), there is not a simple and practical guide to solve this interference problem.…”