Stability Analysis of the Shunt Regulator With Nonlinear Controller in PCU Based on Describing Function Method

Li, Hong; Wang, Shiheng; Lü, Jinhu; You, Xiaojie; Yu, Xinghuo

doi:10.1109/tie.2016.2623579

Cited by 19 publications

(10 citation statements)

References 37 publications

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“…Motivated by many applications in the life sciences, physics and technology, chemistry and economics, in particular in real‐world engineering networks (see, for example, and references therein), problems of stability analysis and control of dynamical systems have attracted much attention from researchers in recent years. Many interesting results of the above problem have been reported in the literature.…”

Section: Introductionmentioning

confidence: 99%

“…Many interesting results of the above problem have been reported in the literature. For example, in , the describing function method and the approximate linearization method are used for stability analysis of the shunt regulator with nonlinear controller, while, in , the authors proposed a microscopic deterministic approach to explore the interacting decision‐making behaviors in networked games. In this work, different cooperation control schemes were formulated and their working mechanism was clarified.…”

Section: Introductionmentioning

confidence: 99%

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New Results on Stabilization of Fractional‐Order Nonlinear Systems via an LMI Approach

Thuận¹,

Huong²

2017

Asian Journal of Control

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This paper considers the systematic design of robust stabilizing state feedback controllers for fractional-order nonlinear systems. By using the Lyapunov direct method and a recent result on the Caputo fractional derivative of a quadratic function, stabilizability conditions expressed in terms of linear matrix inequalities are derived. The controllers can then be derived by using existing computationally effective convex algorithms. Two numerical examples with simulation results are provided to demonstrate the effectiveness of our results.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

New Results on Stabilization of Fractional‐Order Nonlinear Systems via an LMI Approach

Thuận¹,

Huong²

2017

Asian Journal of Control

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“…Stability of a closed-loop system with non-linear operator (loop formed with F voc (s) in Fig. 5, dotted) can be analysed using a describing function approach [24]. First, a transfer function N(A) for the relay block is obtained.…”

Section: Model Stabilitymentioning

confidence: 99%

Detection of open circuit fault in battery power supply feeding permanent magnet synchronous motor

Breznik

Ambrozic

Nemec

2018

IET Power Electronics

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This study presents a model-based method for detecting an open-circuit fault in battery supply unit feeding a permanent magnet synchronous motor. Apart from the commonly present DC voltage sensor at converter's input, no additional sensors are required. As a first step, the DC supply system is modelled as a lumped parameter electric circuit. Further, a procedure for estimation of DC supply voltage based on inverter's current and open-circuit battery voltage is proposed. A sliding mode observer is then used to obtain the actual value of open-circuit battery voltage, required by the modelling algorithm. Consequently, an open-circuit fault in a DC supply circuitry is determined based on the analysis of discrepancy between the estimated and measured DC supply voltage. Detection algorithm has been tested on a laboratory setup and its functionality is confirmed by experimental results.

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“…So the stability of the system can be determined by determining the positional relationship between the two curves [17][18].…”

Section: B the Nonlinear Model Based On Describing Function Of The Bmentioning

confidence: 99%

A novel stability analysis approach based on describing function method using for DC-DC converters

Shang

You

et al. 2015

2015 IEEE Applied Power Electronics Conference and Exposition (APEC)

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Due to the nonlinearity of the switching process in DC-DC converters, the stability analysis with traditional linear modelling for DC-DC converters are invalid sometimes, especially in the transition interval from stable region to unstable region. In this paper, describing function method is firstly adopted in switching process modelling of DC-DC converters. Further, a new model based on describing function method for switching process is proposed to investigate the stability of the DC-DC converters. A boost converter is taken as an example in this paper, its traditional linear model and the proposed model with describing function method are both established, and the stability analysis based on these two kinds of models are carried out, respectively. Different stability analysis results are obtained according to the two kinds of models for the same boost converter with same circuit parameters and control parameters. According to the simulation and experimental results, it can be concluded that the stability analysis based on the proposed model with describing function method is more accurate and effective in the transition interval from stable region to unstable region, which provide a new stability analysis way for DC-DC converters.

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Stability Analysis of the Shunt Regulator With Nonlinear Controller in PCU Based on Describing Function Method

Cited by 19 publications

References 37 publications

New Results on Stabilization of Fractional‐Order Nonlinear Systems via an LMI Approach

New Results on Stabilization of Fractional‐Order Nonlinear Systems via an LMI Approach

Detection of open circuit fault in battery power supply feeding permanent magnet synchronous motor

A novel stability analysis approach based on describing function method using for DC-DC converters

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