Performance analysis and optimization of power systems with spatially correlated noise

TL;DR

This paper analyzes the performance of heterogeneous power systems affected by spatially correlated noise using stochastic differential equations, providing bounds on system norms and proposing optimization scenarios validated through numerical simulations.

Contribution

It introduces a novel analysis framework for heterogeneous power systems with spatially correlated noise, deriving bounds on performance metrics and linking them to network design and control.

Findings

Derived bounds on the H2 norm for heterogeneous systems

Linked performance optimization to network design scenarios

Validated results with numerical simulations on Kundur's network

Abstract

Based on stochastic differential equations (SDEs), we analyse the overall performance of heterogeneous power systems network, subject to spatially distributed and correlated noise with random initial conditions. We determine bounds on the H_2 norm of the heterogeneous system based on a closed-form of the norm of the homogeneous power system. Then, we formulate possible scenarios for performance optimization and link these to applications for network design and control problems in power systems. Our results are corroborated by numerical simulations from Kundur's four-machine two-area network after adaption to our setup.