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Power system time domain simulation under uncertainty based on interval method. (Chinese. English summary) Zbl 1174.93416

Summary: Due to the approximation and measurement errors to model parameters, there is uncertainty in the parameter value of power system simulation model. In order to deal with the uncertainty problem in power system simulation, interval analysis method is introduced in this paper. The uncertainty of model parameters is described by intervals and each variable in equations is replaced with interval variable. Thus, time domain simulation under uncertainty is transformed to the solving of interval differential equations, which needs a certain interval integral method. In this paper, interval Taylor series expansion method is proposed to solve interval differential equations and power system time domain simulation under uncertainty based on interval method is presented. This method allows a rigorous estimation of the influence of either form of uncertainty and only needs one simulation. It is computationally very fast compared with Monte Carlo method which is another technique for uncertainty analysis. The proposed method is tested on WSCC 3-unit 9-bus system. The results demonstrate the effectiveness and practical value of the approach by comparing with the results of Monte Carlo simulation and traditional time domain simulation.

MSC:

93B40 Computational methods in systems theory (MSC2010)
93A15 Large-scale systems
65G30 Interval and finite arithmetic
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