Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method

Shakerighadi, Bahram; Ebrahimzadeh, Esmaeil; Blaabjerg, Frede; Bak, Claus Leth

doi:10.3390/en11102533

Cited by 23 publications

(21 citation statements)

References 36 publications

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“…It is well known that stability analysis methods have linear and nonlinear methods [24], [25], in which Lyapunov stability analysis and phase plane stability analysis are nonlinearization methods, the Jacobian method is a linearization method [26]- [29], all of which have been tried in practice, but there are several methods that are not applicable to single-phase vehicle-grid system, the specific applicability will be introduced in the following sections. No matter which analytical method is needed, the steady-state point of the system needs to be solved, and then different analytical methods are used to obtain stable and unstable boundaries.…”

Section: Introductionmentioning

confidence: 99%

Low-Frequency Instability Induced by Hopf Bifurcation in a Single-Phase Converter Connected to Non-Ideal Power Grid

Chen

Liu

et al. 2020

IEEE Access

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With the high-density operation of China Railways High-speed (CRH) series vehicles in railways, a large number of power electronic converters are connected to the traction network. Due to the nonlinear characteristics of power electronic converter, it is easy to cause the low-frequency oscillation (LFO) in the single-phase vehicle-grid system of high-speed railways when the converter is connected to a non-ideal power grid. In order to solve this problem, the time domain nonlinear dynamic average model is proposed in this paper. Given Jacobian method to probe into the low-frequency stability of single-phase vehicle-grid system based on Hopf bifurcation, the characteristics and applicability of this method is summarized. The effects of electrical and control parameters can be analyzed with this model. In addition, with the emergence of LFO, the stability boundary leading to catastrophic bifurcation is discussed in detail. In the end, theoretical analysis results are verified by simulations and hardware-in-the-loop (HIL) platform. INDEX TERMS Single-phase vehicle-grid system, non-ideal power grid, low-frequency stability, time domain nonlinear dynamic average model, Hopf bifurcation, Jacobian method, HIL platform.

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Section: Introductionmentioning

confidence: 99%

Low-Frequency Instability Induced by Hopf Bifurcation in a Single-Phase Converter Connected to Non-Ideal Power Grid

Chen

Liu

et al. 2020

IEEE Access

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“…The Lyapunov concept is concerned with the stability of any system as a function of its energy, the EF, which cannot be negative and is described as follows [14]:…”

Section: ) Modeling Ofscigmentioning

confidence: 99%

“…If the derivative of the EF w.r.t. time is positive, then the system may be unstable and vice versa [14,37].…”

Section: ) Modeling Ofscigmentioning

confidence: 99%

New Analysis Framework of Lyapunov-Based Stability for Hybrid Wind Farm Equipped With FRT: A Case Study of Egyptian Grid Code

et al. 2021

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Due to the continuous increase of fuel prices and pollutions, the use of renewable energy especially wind has increased. In developing countries including Egypt, squirrel cage induction generator wind turbine (SCIG-WT) represents a considerable proportion of the total capacity of installed wind farm due to its qualities such as low cost and easy availability. However, its operation has a substantial effect on system stability. In contrast, doubly fed induction generator wind turbine (DFIG-WT) is broadly penetrated the electrical grid as it keeps the system stable. In this work, the ability of WT generators to continue operating rather than tripping at the time of faults is analyzed for proper stability investigation. The detailed control and stability of a grid-connected large scale SCIG and DFIG of Zafarana, Suez Gulf area, Egypt are discussed whereas the parameters of fault ride through (FRT) curve of Egypt grid code is utilized. Moreover, a precise analytical stability argument using a proposed integrated nonlinear dynamical model is presented. Conditions for global asymptotic stability of the SCIG in the sense of Lyapunov function (LF) are given and tested by time domain simulation. The eigenvalues of the matrices of LF and its derivative are determined by which the stability boundaries are determined depending on the positivity of these matrices. The dynamic behavior of the whole system is simulated in MATLAB/ Simulink interface programming while the practical data are collected from an experimental model consisting of DFIG-WT to demonstrate the efficacy of the FRT control system.

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“…Protection methods are entirely different because of the fact that VSC-HVdc systems require rapid interruption and limitation of dc fault current, thereby reducing operating time of protection techniques as compared to LCC-based HVdc systems. Moreover, provisions of bidirectional power flow without reversal of polarity and extension to multi-terminal girds in VSC-HVdc systems change the configuration for dc grid protection [43][44][45].…”

Section: Protection Of Line Commutated Converter (Lcc) and Voltage Somentioning

confidence: 99%

MT–HVdc Systems Fault Classification and Location Methods Based on Traveling and Non-Traveling Waves—A Comprehensive Review

et al. 2019

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Estimation of fault classification and location in a multi-terminal high voltage direct current (MT–HVdc) transmission system is a challenging problem and is considered to be a fundamental maneuver of dc grid protection. This research paper critically reviews traveling and non-travelling wave methods of classification and location of dc faults in multi-terminal HVdc transmission systems. Detailed mathematical analysis of MT–HVdc systems composed of high grounding resistance, cable and overhead line segments, and bipolar coupled transmission network under healthy and faulty conditions, are evaluated. The gravity of this research paper addresses benefits and shortcomings of traveling and non-traveling wave methods and futuristic techniques of fault classification and location.

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Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method

Cited by 23 publications

References 36 publications

Low-Frequency Instability Induced by Hopf Bifurcation in a Single-Phase Converter Connected to Non-Ideal Power Grid

Low-Frequency Instability Induced by Hopf Bifurcation in a Single-Phase Converter Connected to Non-Ideal Power Grid

New Analysis Framework of Lyapunov-Based Stability for Hybrid Wind Farm Equipped With FRT: A Case Study of Egyptian Grid Code

MT–HVdc Systems Fault Classification and Location Methods Based on Traveling and Non-Traveling Waves—A Comprehensive Review

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