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Introduces the fourth and final chapter of the ISEF 1999 Proceedings by stating electric and magnetic fields are influenced, in a reciprocal way, by thermal and mechanical fields. Looks at the coupling of fields in a device or a system as a prescribed effect. Points out that there are 12 contributions included ‐ covering magnetic levitation or induction heating, superconducting devices and possible effects to the human body due to electric impressed fields.

A method is developed for calculating the power loss due to corona on three‐phase transmission lines in fair weather. In this method, emission of ions takes place from the coronating phase conductors into the surrounding space when the conductor surface field exceeds the corona onset value. The space charges are simulated by discrete line charges, and the charge simulation technique is used to calculate the charge emission from the phase conductors during corona periods over both the positive and negative half‐cycles. The displacement of the space charges is governed by the prevailing field, which sums the contributions of all discrete line charges in space and those simulating the phase conductor. The calculated corona power loss values agreed well with those measured experimentally.

Computer programs were developed based on the finite element method and the charge simulation method for the calculation of three dimensional electric fields in high voltage engineering. A brief description of the applied methods with respect to the special requirements of high voltage engineering is presented. In order to use the specific advantages of the finite element method and the charge simulation method, two procedures combining both methods are proposed: an iterative method and a direct method. For the calculation of three dimensional problems without symmetry the iterative procedure has the advantage that the coupling program is small compared with the field calculation programs and no major changes in these programs are necessary.

Gives introductory remarks about chapter 1 of this group of 31 papers, from ISEF 1999 Proceedings, in the methodologies for field analysis, in the electromagnetic community. Observes that computer package implementation theory contributes to clarification. Discusses the areas covered by some of the papers ‐ such as artificial intelligence using fuzzy logic. Includes applications such as permanent magnets and looks at eddy current problems. States the finite element method is currently the most popular method used for field computation. Closes by pointing out the amalgam of topics.

Integral equation methods are very often used for high‐voltage field computation. This paper describes an adaptive Gaussian quadrature method for solving potential and field related integrals. Based on computer‐aided design, the high‐voltage configuration is modelled using bi‐cubic spline functions for the description of the boundary surfaces. This problem definition requires a numerical solution of the governing integral equations. Standard Gauss‐Legendre quadrature is improved by an adaptive approach. The describing surfaces are sub‐divided under distance‐dependant aspects. Hence, different rules of Gaussian quadrature are examined and compared to analytically obtained results. The solution is used to compute the potential and field strength on the electrode or insulator contour. The accuracy and the speed‐up of the new method is demonstrated by several calculations.

In this paper a modified numerical method for calculating the precipitation efficiency of wire‐duct electrostatic precipitators is reported. Variation of mobility for both ions and particles in space surrounding the energized wires is taken into consideration. This method is based on solving numerically the main set of equations, defining the ionized field with presence of dust particles. The precipitation efficiency of the electrostatic precipitators is determined for the cement industry. The effect of different geometrical parameters on the precipitation efficiency is also reported. The precipitation efficiency of the wire‐duct electrostatic precipitator as influenced by both the applied voltage and the gas flow speed is discussed in this paper. The present findings are correlated to the physics of electrical corona discharge.

In this paper, the electrical parameters of the duct electrostatic precipitators with bundle wires, as discharge electrodes, are calculated and reported. Variation of mobility for both ions and particles in the space surrounding the energized subwires is taken into consideration. The method used is based on numerically solving the main set of equations, defining the ionized field surrounding the subwires of the bundle wire‐duct electrostatic precipitators (BWDEP) with the presence of dust particles. This method predicts the electrical performance in the BWDEP irrespective of the number of subwires per bundle. The corona onset voltage around the periphery of each subwire of the bundled discharge electrodes of the duct electrostatic precipitators is determined. It changes from point to point at the subwire surface. The effects of different numbers of subwires per bundled electrode, as well as the subwires arrangement, on the electrical performance of the BWDEP are also reported and discussed in this paper. The present findings are correlated to the physics of the electrical corona discharge.

We present a semi‐analytic approach based on a multipole expansion for the solution of two‐dimensional, linear electrostatic problems with piecewise homogeneous regions. This method, called multiple multipole method, leads to more accurate solutions and requires less computation time than the usual numerical methods, especially in such problems where the capacitance of a system of electrodes with different dielectric rods in between, both of arbitrary cross section, is to be calculated with precision.

The purpose of this paper is to propose a new approach for designing different parts of a high voltage bushing. It also aims to consider technical and economical criteria for the optimum solution of the design problem.

A novel method for finding the optimal contours of different elements of high voltage bushings, including ceramic insulator, electrode, and flange angle is presented. The rational Bézier curves are used for defining the surface of the insulators and conductors of the equipment. Then, these curves are optimally adjusted to obtain an appropriate techno‐economical solution. The utilized optimization method is the improved bacterial foraging algorithm (BFA) with variable step sizes. In the design procedure, two‐dimensional finite element method (2D FEM) is used to calculate the performance parameters in each step of the design procedure. In order to evaluate the performance of the proposed algorithm, optimal design of different elements of a 110 kV bushing using BFA and genetic algorithm is presented, compared, and discussed as well.

The results of this research show that the technical design criteria and economical costs are satisfied by the proposed method. It is concluded that the rational Bézier curves can be implemented for other similar applications and optimal design of other equipment in the electrical engineering field combined with heuristic optimization techniques.

Bezier curves are used for the first time for bushing design purpose. Two heuristic techniques are also implemented in order to facilitate the comparison and avoid local solutions.