Primary Frequency Reserve Optimization of New Power System Considering Stochastic-extreme Disturbance
With the penetration of the high proportion of renewable energy sources with weak support capacity,the frequency stability of new power systems has become a research hotspot.This paper studies the optimization problem of primary frequency regulation reserve considering random-extreme disturbance.Specifically,the frequency response model of multi-machine system is taken as the analysis object,and the disturbance is modeled as the sum of Gaussian white noise random disturbance and conventional step active power disturbance.Then,in order to analyze the influence of the linear and saturated states of the governor on the frequency dynamics,the frequency response model of the multi-machine system is aggregated into a piecewise linear single-machine equivalent frequency response model,and a time-domain stochastic differential equation(SDE)model of frequency dynamics is constructed.The mean and standard deviations of frequency dynamics are analyzed.The expressions of mean and standard deviation of frequency extreme points after disturbance are derived,and the analytical relationship between the confidence level and the frequency extreme point is established,that is,the probabilistic expression of frequency stability constraint considering random disturbance is established.The optimization model of primary frequency regulation reserve is established by applying the hyperplane linear approximation method to the frequency stability constraint.Finally,the effectiveness of the proposed method is verified by IEEE 39 bus system.
stochastic processprimary frequency regulationfrequency stabilitystochastic-extreme disturbance
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