Power Angle Stability Of One-Machine Infinite-Bus Power System Influenced By Gaussian And Poisson Excitations

With the rapid development and continuous transformation and upgrading of the power system,the proportion of multiple renewable energy sources,power electronics equipment and new loads increase,power systems are gradually evolving towards the integration of multi-energy,multi-network and multi-subject affected by more stochastic excitation with greater intensity.At the same time,with the increase of the safe operation pressure and reliability requirements of power system,higher requirements are put forward to improve the safe and stable operation of power system.Therefore,the study of power system stability under the influence of complex random factors has important research significance and application value for power system stability judgment and security assessment.Aiming at the problem of how to effectively describe the influence of random factors on the stability of power system,based on the stochastic differential equation theory,this paper establishes the stochastic dynamic model of power system and the stochastic dynamic model with jump,and proves the mean value and mean square stability of the two.The simulation results of one-machine infinite-bus(OMIB)systems show the above model is correct and reasonable,which provides a reference for power system and stochastic modeling.Aiming at the problem of how to effectively select the stochastic dynamic model of power system under different stochastic excitation intensity,Milstein-Euler predictor-corrector method for nonlinear and linearized stochastic dynamic model of power system is constructed to solve the models,and the optimal threshold model of stochastic excitation intensity for linearizing the nonlinear stochastic dynamic model is proposed to obtain the corresponding linearization threshold condition,the influence of stochastic dynamic model linearization on stability analysis is analyzed quantitatively.The simulation results of OMIB systems show the correctness and rationality of the predictor-corrector method and the linearization threshold condition for the power system stochastic dynamic model.This study provides a reference for stochastic modelling and efficient simulation of power system with multiple stochastic excitations and has important application value for its stability judgment and security evaluation.Aiming at the problem of how to accurately solve the stochastic dynamic model with jump of power system and how to effectively analyze the stability of system under the comprehensive influence of stochastic excitation and jump excitation,Heun method for stochastic dynamic model with jump of power system is constructed to solve the models,the comprehensive influence of stochastic excitation and jump excitation under different intensities on stability analysis is analyzed quantitatively.The simulation results of OMIB systems show the correctness and rationality of the method constructed.The influence of the combined action of stochastic excitation and jump excitation on the stochastic stability of power system is greater,which provides support for the analysis of the stability of power system under the influence of random factors,and provides ideas for the analysis of power engineering.