Domain of Attraction’s Estimation for Grid Connected Converters With Phase-Locked Loop

Zhang, Ziqian; Schuerhuber, Robert; Fickert, Lothar; Friedl, Katrin; Chen, Guochu; Zhang, Yongming

doi:10.1109/tpwrs.2021.3098960

Cited by 40 publications

(13 citation statements)

References 43 publications

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“…In the simulations we consider the current controller (27), together with the adaptive ATAN-PLL 6 given by ( 15), ( 16), (25) and (26), with e δ (x) = atan2(x 2 , x1 ) and where the estimated parameters θ are generated via the LS+FF (28)-see Fig. 1 for a block diagram representation of the proposed scheme.…”

Section: Simulation Resultsmentioning

confidence: 99%

An Almost Globally Stable Adaptive Phase-Locked Loop for Synchronization of a Grid-Connected Voltage Source Converter

Zonetti¹,

Bobtsov²,

Nikolaev³

et al. 2022

Preprint

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In this paper we are interested in the problem of adaptive synchronization of a voltage source converter with a possibly weak grid with unknown angle and frequency, but knowledge of its parameters. To guarantee a suitable synchronization with the angle of the three-phase grid voltage we design an adaptive observer for such a signal requiring measurements only at the point of common coupling. Then we propose two alternative certainty-equivalent, adaptive phase-locked loops that ensure the angle estimation error goes to zero for almost all initial conditions. Although well-known, for the sake of completeness, we also present a PI controller with feedforward action that ensures the converter currents converge to an arbitrary desired value. Relevance of the theoretical results and their robustness to variation of the grid parameters are thoroughly discussed and validated in the challenging scenario of a converter connected to a grid with low short-circuit-ratio.

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Section: Simulation Resultsmentioning

confidence: 99%

An Almost Globally Stable Adaptive Phase-Locked Loop for Synchronization of a Grid-Connected Voltage Source Converter

Zonetti¹,

Bobtsov²,

Nikolaev³

et al. 2022

Preprint

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show abstract

“…The supplementary signals generated by the MFRL agent can be viewed as hyper-parameters. Through techniques like semidefinite programming (SDP), linear matrix inequality (LMI), and sum-of-square programming [120], the security range of these hyper-parameters can be obtained to guarantee dynamic stability [121]. As for the third way of fusion, the complete controller substitution, MFRL agents dramatically change the closed-loop dynamics and make the system difficult to model.…”

Section: Online Implementationmentioning

confidence: 99%

Fusion of Microgrid Control With Model-Free Reinforcement Learning: Review and Vision

She¹,

Li²,

Cui³

et al. 2023

IEEE Trans. Smart Grid

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Challenges and opportunities coexist in microgrids as a result of emerging large-scale distributed energy resources (DERs) and advanced control techniques. In this paper, a comprehensive review of microgrid control is presented with its fusion of model-free reinforcement learning (MFRL). A highlevel research map of microgrid control is developed from six distinct perspectives, followed by bottom-level modularized control blocks illustrating the configurations of grid-following (GFL) and grid-forming (GFM) inverters. Then, mainstream MFRL algorithms are introduced with an explanation of how MFRL can be integrated into the existing control framework. Next, the application guideline of MFRL is summarized with a discussion of three fusing approaches, i.e., model identification and parameter tuning, supplementary signal generation, and controller substitution, with the existing control framework. Finally, the fundamental challenges associated with adopting MFRL in microgrid control and corresponding insights for addressing these concerns are fully discussed.

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“…References [6] and [17] utilize the Lyapunov Theorem to study the stability of grid-following converter and the conservative stable region are derived. In [18], the estimation of domain of attraction for the grid-following converter is transformed into the semidefinite programming so that larger system stable region can be obtained. Due to the physical constraints, controllers have self-limits.…”

Section: A Related Workmentioning

confidence: 99%

“…If the value of E(x, y) at the instant of the last switching action is less than E max calculated by (18), the system is stable with the relative degree of stability.…”

Section: B Stable Regionmentioning

confidence: 99%

Synchronization Stability of Grid-Connected VSC With Limits of PLL

Tang

et al. 2022

IEEE Trans. Power Syst.

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Limits of phase locked loop (PLL) are necessary to make sure the transient converter frequency bounded in a safety range. This leads to the grid-connected voltage source converter (VSC) with limits of PLL as one switched system. Stability of switched dynamic system is fully discussed in this paper. One conservative analytical stable region of the unbounded autonomous system is derived by Lyapunov method. It is proved that when bounds are touched, any trajectory of the studied switched system deviates from these bounds at two fixed switching Points. Moreover, the switched system energy is non-increasing when trajectories lie inside the derived analytical stable region. Based on these properties of switched system, it is proved that to ensure the globally asymptotically stability, the fixed switching Points should be placed inside the derived stable region of the unbounded autonomous system. Finally, stabilization method is proposed via placement of the fixed switching Points so that the globally asymptotically stability is ensured.

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Domain of Attraction’s Estimation for Grid Connected Converters With Phase-Locked Loop

Cited by 40 publications

References 43 publications

An Almost Globally Stable Adaptive Phase-Locked Loop for Synchronization of a Grid-Connected Voltage Source Converter

An Almost Globally Stable Adaptive Phase-Locked Loop for Synchronization of a Grid-Connected Voltage Source Converter

Fusion of Microgrid Control With Model-Free Reinforcement Learning: Review and Vision

Synchronization Stability of Grid-Connected VSC With Limits of PLL

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