Passivity-based stability analysis of parallel single-phase inverters with hybrid reference frame control considering PLL effect

Han, Yi; Yang, Mao; Yang, Ping; Xu, Lin; Blaabjerg, Frede

doi:10.1016/j.ijepes.2021.107473

Cited by 9 publications

(3 citation statements)

References 57 publications

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“…• The improved MPC aspect of the RLS-based strategy optimizes the control inputs to maximize the output power of the AFE converter while satisfying constraints, leading to improved efficiency and reduced energy losses. This is a significant advantage over other types of control algorithms that may not optimize control inputs [20,31,32]. The RLS-based MPC strategy can also be used to reduce the harmonic distortion in the output waveforms of the AFE converter, which can be a significant issue in grid-tied applications.…”

Section: Introductionmentioning

confidence: 99%

Dynamic modelling and a dual vector modulated improved model predictive control with auto tuning feature of active front‐end converters for distributed energy resources

Debnath,

Gupta,

Kumar

et al. 2024

IET Generation Trans & Dist

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The operational performance of grid‐connected active front‐end converters (AFEs) faces challenges arising from the intricate interplay among phase‐locked loop (PLL) non‐linearities, grid impedance, and conventional control strategies, resulting in compromised stability. This study introduces a refined approach to dynamic model predictive control (MPC) by integrating recursive least squares (RLS) for the precise estimation of physical model parameters, thereby addressing stability concerns. Unlike conventional methodologies, the proposed enhanced RLS‐based MPC approach, equipped with an auto‐tuning feature, allows for the design of controllers without a prerequisite understanding of exact external dynamics. Notably, this technique exhibits exceptional disturbance rejection capabilities. The evaluation of the cost function at each sampling interval facilitates the determination of optimal switching states based on predicted variables. Gate pulses for the switches of the AFEs are generated accordingly. Employing a simulation platform, the proposed control structure's performance across varied conditions is comprehensively assessed, encompassing alterations in grid impedance and system non‐linearities. The method adeptly integrates inherent non‐linearities within the system, showcasing exceptional robustness in diverse dynamic scenarios. To further substantiate the efficacy of the proposed control system over conventional approaches, simulation results are validated using a laboratory hardware platform equipped with Typhoon HIL and dSPACE real‐time emulators, providing tangible evidence of the proposed control system's effectiveness in real‐world hardware setups. The multifaceted approach, encompassing precise parameter estimation, predictive control, auto‐tuning, disturbance rejection, robust design, and real‐time evaluation, collectively establishes a resilient foundation for enhancing and maintaining the overall stability of the system across diverse operating scenarios.

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Section: Introductionmentioning

confidence: 99%

Dynamic modelling and a dual vector modulated improved model predictive control with auto tuning feature of active front‐end converters for distributed energy resources

Debnath,

Gupta,

Kumar

et al. 2024

IET Generation Trans & Dist

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“…After completing the fractional-order projection, we introduce a passivity-based control approach to get synchronized responses between the integer-order system and its fractional-order projection. Such control strategies take advantage of the energy dissipation of dynamical systems by considering input and output variables and a storage function [36][37][38]. Accordingly, accurate responses and decreased control efforts can be achieved by using the dissipation properties of integer-order and fractional-orderprojection systems, which is valuable in engineering applications as was shown in Shen et al [39], Wu et al [40], and Gandarilla et al [41].…”

Section: Introductionmentioning

confidence: 99%

Fractional-order projection of a chaotic system with hidden attractors and its passivity-based synchronization

Serrano,

Munoz-Pacheco,

Flores

2023

Front. Appl. Math. Stat.

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This paper presents the fractional-order projection of a chaotic system, which delivers a collection of self-excited and hidden chaotic attractors as a function of a single system parameter. Based on an integer-order chaotic system and the proposed transformation, the fractional-order chaotic system obtains when the divergence of integer and fractional vector fields flows in the same direction. Phase portraits, bifurcation diagrams, and Lyapunov exponents validate the chaos generation. Apart from these results, two passivity-based fractional control laws are designed effectively for the integer and fractional-order chaotic systems. In both cases, the synchronization schemes depend on suitable storage functions given by the fractional Lyapunov theory. Several numerical experiments confirm the proposed approach and agree well with the mathematical deductions.

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“…Both impedance-based and passivity-based stability criteria can be utilized to analyze the stability of the GCI system (Harnefors et al, 2016;Sun, 2011;Xiong et al, 2020;Wu et al, 2020;Liao et al, 2020). For the paralleled inverter system, the passivity-based criterion is more intuitive since it is possible to analyze the frequency band where the instability occurs, so the parameters of the whole system can be designed quantitatively (Han et al, 2022;Qian et al, 2020). Noting that the passivity is a sufficient yet unnecessary condition to ensure the system is stable, the relatively conservative analysis result can provide a large stability margin of the system (Yoon et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

Passivity Enhancement Strategy of Grid-Connected Inverter System Based on the Adaptive Active Damper

Chen

Zhao

2022

Front. Energy Res.

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The grid-connected inverter system may be unstable when connected to a weak grid, and installing an active damper as a virtual resistor at the PCC is convenient for stabilizing the system. This article proposes a passivity enhancement strategy for the grid-connected inverter system via the adaptive active damper. Furthermore, the admittances of the grid-connected inverter system with the active damper are derived, and the real parts of the admittances of the whole system have been calculated. And the admittance measurement results obtained by the frequency scanning method approximately match the theoretical results. Additionally, the virtual resistor’s stability region is discussed, the bandwidth of the phase-locked loop is recommended, ensuring the stabilizing effect of the active damper under the weak grid. And the online resonance frequency detection algorithm guarantees the passivity enhancement of the active damper when grid impedance changes. Finally, controller hardware-in-the-loop tests validate the theoretical analysis of passivity enhancement based on the active damper.

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Passivity-based stability analysis of parallel single-phase inverters with hybrid reference frame control considering PLL effect

Cited by 9 publications

References 57 publications

Dynamic modelling and a dual vector modulated improved model predictive control with auto tuning feature of active front‐end converters for distributed energy resources

Dynamic modelling and a dual vector modulated improved model predictive control with auto tuning feature of active front‐end converters for distributed energy resources

Fractional-order projection of a chaotic system with hidden attractors and its passivity-based synchronization

Passivity Enhancement Strategy of Grid-Connected Inverter System Based on the Adaptive Active Damper

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