On the Calculation of the Variance of Algebraic Variables in Power System Dynamic Models with Stochastic Processes
Systems and Control
2022-12-05 v4 Systems and Control
Abstract
This letter presents a technique to calculate the variance of algebraic variables of power system models represented as a set of stochastic differential-algebraic equations. The technique utilizes the solution of a Lyapunov equation and requires the calculation of the state matrix of the system. The IEEE 14-bus system serves to demonstrate the accuracy of the proposed technique over a wide range of variances of stochastic processes. The accuracy is evaluated by comparing the results with those obtained with Monte Carlo time domain simulations. Finally, a case study based on a 1479-bus dynamic model of the all-island Irish transmission system shows the computational efficiency of the proposed approach compared to the Monte Carlo method.
Keywords
Cite
@article{arxiv.2206.13839,
title = {On the Calculation of the Variance of Algebraic Variables in Power System Dynamic Models with Stochastic Processes},
author = {Muhammad Adeen and Federico Bizzarri and Davide del Giudice and Samuele Grillo and Daniele Linaro and Angelo Brambilla and Federico Milano},
journal= {arXiv preprint arXiv:2206.13839},
year = {2022}
}