DYNAMICAL EQUATION OF A ELECTROMECHANICAL COUPLING SYSTEM BASED ON MAGNETIC CHAIN AND VOLTAGE AS GENERALIZED COORDINATES
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摘要: 以磁链和电压为离散机电耦合系统广义坐标,得到系统的动能、势能、电能、磁能及耗散函数。引入机电耦合系统有质动力概念,通过系统的电路方程和功率平衡方程,得到有质动力解析式。引入拉格朗日能量函数,建立以磁链、电压为广义坐标的机电耦合系统动力学方程,此方程适合机电耦合系统电路非线性情况。Abstract: Changing magnetic chain and voltage as generalized coordinates of a discrete electromechanical coupling system, kinetic energy, potential energy, electrical energy, magnetic energy and dissipation function are obtained. The concept of the pondermotive force of the electromechanical coupling system is introduced. By means of the circuit equation and power equilibrium equation, the expression of the pondermotive force is derived. The Lagrangian energy function of the electromechanical coupling system is brought in, and the dynamical equation is aquired based on generalized coordinates, magnetic chain and voltage. It suits nonlinear condition of the circuir of the electromechanical coupling system.
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