Analytical Framework for Power System Strength
Abstract
This paper proposes a general framework to evaluate power system strength. The formulation features twelve indicators, grouped in three dynamical orders, that quantify the resistance of bus voltage phasors and their first and second order rates of change to sudden current injection changes. To quantify such changes the paper introduces a novel finite differentiation technique, that we named Delta operator, able to properly capture "jumps" of algebraic variables and utilizes the recently developed concept of complex frequency. The paper also shows how the proposed framework can be systematically applied to any system device, and provides a variety of examples based on synchronous machines, converters and loads models are given. Numerical results in a benchmark system validate the exactness of the formulation.
Fields of Study & Subjects
Power Systems and Renewable Energy
Power System Reliability and Maintenance
Publication details
- Journal / source
- IEEE Transactions on Power Systems
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Volume
- 41
- Issue
- 6
- Pages
- 1–12
- Publication date
- 1 January 2026
- Language
- EN