2021/05/17 by Federico Milano, Milano, Federico · 1 citation
Engineering · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #Lightning and Electromagnetic Phenomena #Power System Optimization and Stability #Power Systems and Technologies #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · doi:10.48550/arxiv.2105.07769
openalex publication_date 2021/05/17 · openalex created_date 2022/08/29 · openalex updated_date 2026/07/28
The paper introduces the concept of complex frequency. The imaginary part of the complex frequency is the variation with respect of a synchronous reference of the local bus frequency as commonly defined in power system studies. The real part is defined based on the variation of the voltage magnitude. The latter term is crucial for the correct interpretation and analysis of the variation of the frequency at each bus of the network. The paper also develops a set of differential equations that describe the link between complex powers and complex frequencies at network buses in transient conditions. No simplifications are assumed except for constant elements of the network admittance matrix. A variety of analytical and numerical examples show the applications and potentials of the proposed concept.