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本文在[文章4～5]的基础上,进一步研究同步发电机三相不对称运行所激发的参数振动。建立了转子振动的非线性周期系数微分方程组,方程组中的九个系数和发电机的电磁超越代数方程组相耦合,形成统一的数学系统。由稳态解进行数学变换后找到了振幅,相角方程式。求得了具有清楚几何概念的稳定性条件。研究了各种电磁参数变化对参数共振特性的影响,得到了别人没有得到过的电磁参数共振的很多特性,这些结果对大型汽轮发电机及一般电机转子的振动问题有积极的意义。
Based on [4 ~ 5], this paper further studies the parametric vibration excited by three-phase asymmetric operation of synchronous generator. The nonlinear periodic differential equations of the rotor vibration are established. Nine of the equations are coupled with the electromagnetic overrun algebraic equations of the generator to form a unified mathematical system. The steady-state solution is mathematically transformed to find the amplitude and phase angle equations. Obtained with a clear geometric concept of stability conditions. The influence of various electromagnetic parameters on the resonance characteristics of the parameters is studied. Many properties of the electromagnetic parameters that have not been obtained by others are obtained. These results have a positive meaning for the vibration problems of large-scale steam turbine generators and general motor rotors.