A Method of Inverse Analysis along with Current Presumption from the Locally Measured Magnetic Field Distributions

電気・電子機器周辺の電磁界分布から電磁界源分布を求める源推定逆問題は、電磁環境問題（EMC問題）を解決する有力な手段であり、真に環境にやさしい電気・電子機器の設計・製造論の確立をもたらす。筆者らはこの観点から源推定逆問題を解く幾つかの方法を提案してきた。源推定に関する逆問題解析の問題点は、与えられる既知情報量よりも求めるべき未知情報量が圧倒的に多く、何らかの拘束条件を仮定しなければ解が一意的に決まらない。本論文では、源推定に関する逆問題を解析する一方法として重み付き逆行列法を提案する。重み行列を適用して正規化した不適切線形システム方程式が依然として不適切である場合の対策手法を議論し、電気・電子機器周辺の局所的に与えられる磁界測定から機器内部の電流分布を可視化する方法を提案する。Previously, we have proposed the weighted inverse method (WIM in short) in order to solve the inverse source problems in electromagnetic as well as radioactive fields. WIM is one of the generalizations of a least norm type solution strategy. Thereby, it is essentially required to compute an inverse matrix. When confronting to an ill-posed system matrix in WIM approach, it is difficult to obtain a good solution vector.In order to overcome this difficulty, this paper proposes a new approach, which employs the iterative solution methods for ill-posed linear system of equations. In the present paper, we have applied the two iterative solution methods, one is well known conjugate gradient method and the other is the generalized vector sampled pattern matching method. WIM approach along with the iterative solution method is called a hybrid method. Also, it is shown that apply this hybrid method to the simulation and practical models has yielded good solution compared with those of normal WIM approac