Mechanism of Multi-machine Nonlinear Forced Oscillation Based on Multi-scale Method
With the development of high-proportion new energy power grid,the system presents more obvious nonlinear characteristics,and the multi-scale method can be used to demonstrate the influence of quadratic nonlinear on the forced oscillation of multi-machine system.Firstly,the forced oscillation model of multi-machine system is established,and the system mathematical model is simplified by multiple identical transformations.Compared with the single-machine system,the multi-machine system has wider applicability.Then,the amplitude-frequency characteristic curve of steady state response and the approximate first-order analytic expression of dynamic response of the nonlinear forced oscillation are derived by using the multi-scale method,and the influence of key parameters on the nonlinear forced oscillation is analyzed.Finally,a three-machine system is taken as an example to verify the accuracy of the proposed method,and the phenomena of frequency shift and jump caused by nonlinearity are explained.
forced oscillationnonlinearitymultiple scales methodpower system stability