A mixed complementarity problem approach for steady-state voltage and frequency stability analysis

TL;DR

This paper introduces a mixed complementarity problem approach for steady-state voltage and frequency stability analysis in electrical grids, offering a robust and efficient alternative to traditional methods with proven convergence properties.

Contribution

It formulates power flow, voltage, and frequency control as a single MCP and provides theoretical convergence analysis, enhancing computational efficiency and robustness.

Findings

Comparable speed to Newton methods

More robust performance in large grid tests

Theoretical guarantees for convergence

Abstract

We present a mixed complementarity problem (MCP) approach for a steady-state stability analysis of voltage and frequency of electrical grids. We perform a theoretical analysis providing conditions for the global convergence and local quadratic convergence of our solution procedure, enabling fast computation time. Moreover, algebraic equations for power flow, voltage control, and frequency control are compactly and incrementally formulated as a single MCP that subsequently is solved by a highly efficient and robust solution method. Experimental results over large grids demonstrate that our approach is as fast as the existing Newton method with heuristics while showing more robust performance.