Mathieu方程式による平面磁路形パラメトリック変圧器の安定性に関する基礎的検討

概要

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A parametric transformer using the parametric oscillation phenomena offers numerous attractive features which are not found in conventional transformer,such as overload protection,noise filtering function, constant voltage regulation,and so on. However,the complex operating mechanism of the transformer has not been solved yet because of the nonlinearity of magnetization characteristics. The basic operating equation for the transformer can be represented using a Mathieu differential equation. In our study,we noticed a solution of the Mathieu equation represented stable state or unstable state of the parametric oscillation. If this equation can be solved, the optimum design of the planar parametric transformer can be easier than before. In this paper, the Mathieu equation is analyzed by using MATLAB of numerical analysis software (The MathWorks, Inc. Software).
八戸工業高等専門学校の論文