Robust Probabilistic Analysis of Transmission Power Systems based on Equivalent Circuit Formulation

TL;DR

This paper introduces a robust probabilistic analysis method for transmission power systems using an equivalent circuit formulation, improving reliability in large-scale power system studies.

Contribution

It presents a simple Monte Carlo-based probabilistic contingency analysis approach leveraging equivalent circuit methods, enhancing robustness over traditional techniques.

Findings

The proposed method reliably identifies physical solutions in large-scale systems.

Results show good agreement with standard Monte Carlo simulations.

Probabilistic contingency analyses on real power system cases demonstrate effectiveness.

Abstract

Recent advances in steady-state analysis of power systems have introduced the equivalent split-circuit approach and corresponding continuation methods that can reliably find the correct physical solution of large-scale power system problems. The improvement in robustness provided by these developments are the basis for improvements in other fields of power system research. Probabilistic Power Flow studies are one of the areas of impact. This paper will describe a Simple Random Sampling Monte Carlo approach for probabilistic contingency analyses of transmission line power systems. The results are compared with those from Monte Carlo simulations using a standard power flow tool. Lastly, probabilistic contingency studies on two publicly available power system cases are presented.