A negative imaginary approach for distributed secondary frequency consensus control of networked AC microgrid

Arijit Ganguly, Adino W. Ayele, Parijat Bhowmick, Alexander Lanzon

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper proposes a new Secondary Frequency Consensus (SFC) control scheme for inverter-based AC microgrids relying on Negative Imaginary (NI) systems theory. A microgrid consists of many Distributed Generating (DG) units whose dynamics can be modelled by a set of nonlinear differential-algebraic equations. Each DG can be feedback linearised into a single integrator system, which resembles the simplified frequency dynamics of a microgrid. A network of
many such feedback-linearised DG units gives rise to a homogeneous NI multi-agent system (MAS). Interestingly, a single integrator MAS, owing to be NI, can be conveniently stabilised by a distributed Strictly NI (SNI) controller depending only
on the definiteness of the DC gain matrix of the controller. It also successfully achieves the consensus, resulting in frequency synchronisation among all DG units and the main grid. An in-depth Matlab simulation case study was carried out to test the usefulness and performance of the proposed scheme.
Original languageEnglish
Title of host publicationProceedings of the 62nd IEEE Conference on Decision and Control, Marina Bay Sands, Singapore, Dec 2023
Publication statusAccepted/In press - 15 Sept 2023

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