The choice of optimal system composed of linear conductors for electrostatic space protection

2017 15th International Conference on Electrical Machines, Drives and Power Systems (ELMA)(2017)

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Abstract
System of integral equations for the electric scalar potential (integral equations Rabin's type), for the observed electrostatic model composed of linear conductors, can be formed. Since this equation cannot be solved correct analytically, a very simple and convenient accurate point matching method, with a polynomial approximation of functions of longitudinal charge density of conductors, has been used. A new numerical procedure for optimization of the system used for electrostatic protection of space is developed in this paper. The optimization of formed functional, consists of electrostatic energy density and system of linear equations witch follows from the equipotential character of the system of conductors, is used for the protection. By minimizing this functional, the system of nonlinear equation is obtained and then numerically solved. The energy density is defined in the points along the axis of the system. A few numerical examples are given.
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Key words
space protection,energy density,system of nonlinear equations,Rabin's integral equations
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