Research On Power Angle Characteristics Of Power Systems Under Gauss And Poisson Double Stochastic Excitation

As the energy mix evolves towards transformation and escalateing,the power system is developing in the direction of low carbonization,intelligence and synergy,renewable energy sources such as scenery and intelligent big data power electronic devices are connected to the system in large quantities,and the micro-grid and large grid synergy control mode is changing,which makes a large number of complex and diversified stochastic excitation connected to the system,the operating characteristics of power systems are becoming increasingly complex.Meanwhile,for the sake of national energy security and smooth economic development,higher safety and reliability requirements are raised regarding power systems.In the face of the increasingly prominent random phenomenon,how to analyze the influence of complex random factors,study the stability of power system under the influence of multiple stochastic excitation,and guarantee the reliable operation of the system has become a pressing issue.Modeling of power systems under Gauss and Poisson double excitation.Aiming at the problem that the traditional single-excitation stochastic model is no longer applicable due to the large number of complex and diverse stochastic factors into the system,the continuous and discrete stochastic factors in the power system are analyzed and expressed in detail.Modeling of the Gauss excitation model based on Gauss white noise and the Poisson excitation model based on Poisson white noise,and modeling of stochastic differential equations for power systems under Gauss and Poisson double excitation.Solving stochastic differential equation models for power systems using the Milstein-Euler prediction correction algorithm and performing stability analysis,and analysis of the effect of Gauss and Poisson excitation on the stability of power systems at different excitation intensities.The simulation results of one-machine infinite-bus(OMIB)systems show the above model is correct and reasonable.Modeling of optimal thresholds for linearized treatment of nonlinear models under Gauss and Poisson double excitation.Aiming at the problem that the efficient selection of the stochastic dynamic model of power system under different Gauss and Poisson excitation strengths,constructing optimal threshold models for linearization of nonlinear models of power systems under Gauss excitation and Poisson excitation,the corresponding linearization threshold conditions are obtained within the specified maximum threshold range,the impact of linearization on stability analysis is quantitatively analyzed.The Euler-Maruyama optimal threshold model and the Heun optimal threshold model are constructed,and compared with the present method respectively.The simulation results of OMIB systems show the correctness and rationality of the predictor-corrector method.This study provides ideas for future power system stability analysis.Analysis of variance-based global sensitivity of power system under Gauss and Poisson double excitation.Aiming at the problem of the impact of Gauss and Poisson excitation on the output power angle of power system,a variance-based global sensitivity analysis model of power system under Gauss and Poisson excitation is constructed based on the idea of sensitivity analysis,and the impact of the main variance contribution of Gauss and Poisson excitation with different excitation strengths on the total contribution sensitivity index of the system is quantified.The simulation results of OMIB systems show the influence of different excitation inputs on power system output,which provides ideas for power engineering stability judgment and safety assessment.