Power system transient stability simulation under uncertainty based on interval method

Interval analysis method is introduced to deal with uncertainty. The uncertainty of model parameters is described by intervals and each variable in functions is replaced with interval. Thus, time domain simulation under uncertainty transformed to the solving of interval differential equations, which needs a certain interval integral method. In this paper, interval Taylor series method is proposed to compute interval differential equations, moreover, 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 has been tested on WSCC 9-bus system. The results demonstrated the effectiveness and practical value of the approach by comparing with the results of Monte Carlo simulation and traditional time domain simulation.