$H_{\infty }$-Control of Grid-Connected Converters: Design, Objectives and Decentralized Stability Certificates

Abstract

The modern power system features high penetration of power converters due to the development of renewables, HVDC, etc. Currently, the controller design and parameter tuning of power converters heavily rely on rich engineering experience and extrapolation from a single converter system, which may lead to inferior performance or even instabilities under variable grid conditions. In this paper, we propose an $H_{\infty }$-control design framework to provide a systematic way for the robust and optimal control design of power converters. We discuss how to choose weighting functions to achieve anticipated and robust performance with regards to multiple control objectives. Further, we show that by a proper choice of the weighting functions, the converter can be conveniently specified as grid-forming or grid-following in terms of small-signal dynamics. Moreover, this paper first proposes a decentralized stability criterion based on the small gain theorem, which enables us to guarantee the global small-signal stability of a multi-converter system through local control design of the power converters. We provide high-fidelity nonlinear simulations and hardware-in-the-loop (HIL) real-time simulations to illustrate the effectiveness of our method.

References in corpus (3)

• Synchronization and Power Sharing for Droop-Controlled Inverters in Islanded Microgrids
• Placement and Implementation of Grid-Forming and Grid-Following Virtual Inertia and Fast Frequency Response
• Impacts of Grid Structure on PLL-Synchronization Stability of Converter-Integrated Power Systems

Cited by in corpus (7)

• Placing Grid-Forming Converters to Enhance Small Signal Stability of PLL-Integrated Power Systems
• Generalized Multivariable Grid-Forming Control Design for Power Converters
• Quantitative Stability Conditions for Grid-Forming Converters With Complex Droop Control
• On Power Control of Grid-Forming Converters: Modeling, Controllability, and Full-State Feedback Design
• Augmentation of Generalized Multivariable Grid-Forming Control for Power Converters with Cascaded Controllers
• Power Control of Grid-Forming Converters Based on Full-State Feedback
• Multivariable Grid-Forming Converters with Direct States Control