Application of immune algorithm with searching diversity to arrangement problem of fictitious chareges and contour points for charge simulation method

Abstract

This chapter presents an application of immune algorithm with searching diversity to the arrangement problem of fictitious charges and contour points for charge simulation method (CSM). When the charge simulation method is used for electric field analyses, an appropriate arrangement of both fictitious charges and contour points is indispensable for obtaining an accurate solution. However, when they are placed three dimensionally, it is very difficult to obtain such an arrangement even if a conventional searching method, such as Genetic Algorithm is adopted because the searching area for 3-D case is remarkably wide. The biological immune system is a basic defense system against disease-causing organisms, such as bacteria and viruses. When an antigen invades a living body, lymphocytes recognize it and produce the antibodies that cope with and exclude the antigen. The immune system has immunity to its own body. It suppresses the excessive production of antibodies and has the characteristics returning to the normal state. It has the ability to cope with almost infinite antigens by this mechanism. Immune Algorithm (IA) can produce the required diversity of antibodies and regulate the proliferation of clones as in a real immune system. The chapter explains IA with a high searching performance to this 3-D arrangement problem. By using IA, an accurate 3-D potential distribution around the electrodes is automatically obtained in high probability.