Heidari, Rahmat (Commonwealth Scientific and Industrial Research Organisation (CS), Seron, Maria M. (The University of Newcastle), Braslavsky, Julio H. (Commonwealth Scientific and Industrial Research Organisation)

Non-Local Approximation of Power Flow Equations with Guaranteed Error Bounds

Scheduled for presentation during the Regular Session "System Modelling and Identification" (TuAOr), Tuesday, December 19, 2017, 10:00−10:15, Room 7

2017 Australian and New Zealand Control Conference, December 17-20, 2017, Gold Coast Convention Centre, Australia

This information is tentative and subject to change. Compiled on April 25, 2024

Abstract

Progressive increase of distributed generation penetration levels into the power grid has motivated studies on network stability and control methodologies in order to maintain the grid in operational conditions. A key challenge to better study features of the power grid is to have a reliable network model under different circumstances. In this paper, we derive a structured nonlinear model for the network and then propose an approximate model that captures the system nonlinearities. We then design voltage control functions and derive a dynamic network model with embedded controllers. We analyse voltage stability of the controlled network for both the exact and approximate models. In particular, we give conditions for the voltage to ultimately lie within quantifiable bounds for both models. This result also allows to compute a bound on the difference between the exact and approximate model voltages.