磁気結合共振回路の一般解と伝送電力の理論式

カテゴリ: 論文誌(論文単位)

グループ名: 【D】産業応用部門

発行日: 2016/04/01

タイトル(英語): General Solution and Power Transfer Formula for Resonant Inductive Coupling Circuits

著者名: 澤山　昇（（株）リコー リコー未来技術研究所 先端技術研究センター）

著者名(英語): Noboru Sawayama (Advanced Technology Research & Development Center Ricoh Institute of Future Technology)

キーワード: 磁気結合，共振回路，電力伝送，特性方程式，一般解，固有値　　inductive coupling，resonant circuit，power transmit，characteristic equation，general solution，WiTricity

要約(英語): The general solution for resonant inductive coupling circuits has not been obtained because the roots of the characteristic equation of the circuits are too complicated. In order to overcome the difficulty of solving the circuit equation, we have introduced a new method that is converting the second-order differential equation for the charges to the first-order differential equation for the vector whose elements are currents and charges, and incorporating the characteristic equation into the structure of the eigenvectors of the differential coefficient matrix. We thus obtained the general solution for the circuits. In addition, we derived formulas for power transmission and power reception. Results of numerical calculation in the time and frequency domains always satisfy the low of conservation of energy. We thus obtain a number of interesting results. For example, 1/4 cycle delay between power transmission and power reception is very interesting because it shows that the power transition from the primary coil to the secondary coil resembles the peristaltic motion of the magnetic field energy.

本誌: 電気学会論文誌D（産業応用部門誌） Vol.136 No.4 （2016）

本誌掲載ページ: 291-301 p

原稿種別: 論文／日本語

電子版へのリンク: https://www.jstage.jst.go.jp/article/ieejias/136/4/136_291/_article/-char/ja/