Globally-stable tracking and estimation for single-phase electrical signals with DC-offset rejection

Pin, Gilberto; Chen, Boli; Fedele, Giuseppe; Parisini, Thomas

doi:10.1109/iecon.2019.8927095

Cited by 3 publications

(9 citation statements)

References 26 publications

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“…The behavior of the proposed RGQPLL is analyzed in this section through numerical simulations in a noisy scenario. For benchmarking purposes, the RGQPLL is compared against the EPLL of Kharimi-Garthemani [6], that is one of the most used architectures in electrical applications, the Adaptive Observer (AO) developed in [24], which is often taken as a baseline for comparison by the system-theoretic literature, and the original QPLL of [21].…”

Section: Simulation Resultsmentioning

confidence: 99%

“…For the sake of comparison, all the methods are initialized with the same guess 50Hz for the frequency. Moreover, both the EPLL and the AO are tuned as in [21]. As shown in Fig.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…The reader can refer to Figure 1 for a block diagram representation of the RGQPLL. [21] are are concerned with the adaptive system, while the overall PLL-like structure is maintained.…”

Section: Rgqpll Equationsmentioning

confidence: 99%

“…In this case, the stability analysis will be greatly simplified compared to the original GQPLL described in [21]. First, let us now make some comments on the saturated parameter adaptation law.…”

Section: Stability Analysismentioning

confidence: 99%

“…In other words, global convergence may get lost in practice. In this connection, the contribution of the GQPLL scheme proposed in [21] is that of providing Lyapunov stability certificates by modifying a QSG-type PLL architecture through the introduction of auxiliary signal injections within the phase-locked loop.…”

Section: Introduction and Problem Formulationmentioning

confidence: 99%

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Robust Frequency-Adaptive PLL with Lyapunov Stability Guarantees

Chen

Fedele

et al. 2020

2020 IEEE Conference on Control Technology and Applications (CCTA)

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The Global Quadrature Phase-Locked-Loop (GQ-PLL) is a recently-devised PLL-type architecture (based on Quadrature Signal Generation) able to track a biased sinusoidal signal with unknown frequency and amplitude. The original GQPLL formulation resorted to a non-standard nonnormalized adaptive law, able to guarantee the global convergence of the estimates for arbitrarily large adaptation gains, thus enabling arbitrarily fast adaptation transients. On the other side, the non-conventional adaptation law used in the original formulation makes it difficult to apply robustifying modifications of adaptive control. In this connection, the present work presents a new formulation for the PLL internal dynamics in order to obtain a convenient 1st order linear-in-the parameters error model, which can be dealt with by a conventional nonnormalized adaptive law, to which a robustifying modification such as projection can be applied. The large-gain global stability of the adaptive system is proven by Lyapunov arguments. The overall adaptive PLL is named Robustified GQPLL (RGQPLL).

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Section: Simulation Resultsmentioning

confidence: 99%

“…For the sake of comparison, all the methods are initialized with the same guess 50Hz for the frequency. Moreover, both the EPLL and the AO are tuned as in [21]. As shown in Fig.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…The reader can refer to Figure 1 for a block diagram representation of the RGQPLL. [21] are are concerned with the adaptive system, while the overall PLL-like structure is maintained.…”

Section: Rgqpll Equationsmentioning

confidence: 99%

Section: Stability Analysismentioning

confidence: 99%

Section: Introduction and Problem Formulationmentioning

confidence: 99%

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Robust Frequency-Adaptive PLL with Lyapunov Stability Guarantees

Chen

Fedele

et al. 2020

2020 IEEE Conference on Control Technology and Applications (CCTA)

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Variable frequency monitoring of power grid: a modified observer approach

Rouphael,

Cauet,

Chamroo

2023

IFAC-PapersOnLine

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Robust Frequency-Adaptive Quadrature Phase-Locked-Loops With Lyapunov-Certified Global Stability

Chen

Fedele

et al. 2023

IEEE Trans. Contr. Syst. Technol.

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This work describes and compares two phaselocked-loop (PLL) algorithms aimed at tracking a biased sinusoidal signal with unknown frequency, amplitude and phase, with inherent robustness to dc-offset. The proposed methods endow Quadrature PLLs, renowned for their excellent tracking performance, with frequency-adaptation capability, while providing robust global stability certificates. The large-gain global stability, proven by Lyapunov-like arguments borrowed from adaptive control theory, represents a major benefit compared to conventional PLLs, whose convergence instead can be proven only locally by small-signal analysis or small-gain assumptions. In this connection, the proposed algorithms represent the first frequency-adaptive and DC-bias rejecting PLL-type architectures with Lyapunov-certified global stability. When used for signal tracking, the proposed methods are shown to outperform the adaptive observer, especially in noisy conditions. Moreover, they provide more accurate frequency estimates than existent frequency-adaptive PLLs, showing enhanced robustness in facing both phase-noise and measurement perturbations. I. INTRODUCTIONThe power distribution network is undergoing tremendous changes due to ever increasing penetration of distributed and renewable energy resources. Such a trend poses new challenges due to the increased unpredictability of these new power sources. A microgrid incorporating the renewable distributed energy resources can be operated either in grid-connected mode or in islanded mode. During both modes of operation, monitoring and control of frequency plays a vital role for power quality assessment, for the control and protection of the power grid and also for the synchronization of the microgrid with the main grid [1]. Due to the presence of disturbances and uncertainties in the grid voltage, such as harmonics, noise, G.Pin is with Electrolux Italia S.p.A., Italy

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Globally-stable tracking and estimation for single-phase electrical signals with DC-offset rejection

Cited by 3 publications

References 26 publications

Robust Frequency-Adaptive PLL with Lyapunov Stability Guarantees

Robust Frequency-Adaptive PLL with Lyapunov Stability Guarantees

Variable frequency monitoring of power grid: a modified observer approach

Robust Frequency-Adaptive Quadrature Phase-Locked-Loops With Lyapunov-Certified Global Stability

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