A novel approach to determine transmission reliability margin using parametric bootstrap technique

The determination of available transfer capability (ATC) must accommodate a reasonable range of transmission reliability margin (TRM) so that the transmission network is secure from uncertainty that may occur during a power transfer. This paper presents a computationally accurate method in determining the TRM with large amount of uncertainty using the parametric bootstrap technique. The parametric bootstrap technique is used to randomly generate a bootstrap sample of system operating condition with large uncertainty selected at a certain percentage of bootstrap confidence interval. The bootstrap sample is used in the determination of TRM at every time interval. Then, a new value of ATC at the current time interval is calculated by considering the TRM at the same time interval. The effectiveness of the proposed TRM method in providing new ATC value is validated on the Malaysian power system. The results have shown that the proposed method provides accurate estimation of TRM in which it is relatively similar to the TRM result obtained by the standard deviation of uncertainty which is incorporated in the Monte Carlo simulation technique. Further comparisons have been made in terms of accuracy and total time computation in order to verify the robustness of parametric bootstrap in determining the TRM as compared to the non-parametric bootstrap technique.