固定子鉄損を含む誘導モータの新数学モデルの提案

概要

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This paper proposes new mathematical models with stator core (iron)-loss factor for induction motor supposed to generate precise and/or efficient torque via vector control. The proposed models take the structure that stator core-loss resistance is equivalently placed purely in parallel with stator inductance. It is shown that stator core losses consisting of eddy-current and hysteresis losses can be properly represented by the parallel resistance, especially eddy-current loss by a constant one. The models are composed of three basic vector equations in general frame of arbitrary angular frequency such as 4th order differential equation describing motor dynamics, torque equation and energy conversion equation. These basic equations are essential for vector control design taking core-loss into consideration. The proposed models are most compact in sense of number of both of employed parameters and interior states of the motor. Compactness is an important factor for modeling and is useful for designing vector control systems.