A Filippov method based analytical perspective on stability analysis of a DC‐AC H‐bridge inverter with nonlinear rectifier load

Bandyopadhyay, Aranya; Mandal, Kuntal; Parui, Sukanya

doi:10.1002/cta.3222

Cited by 8 publications

(3 citation statements)

References 40 publications

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“…In [5][6][7], the boundary collision bifurcation phenomenon in a PWM-controlled single-phase H-bridge inverter was studied, a piecewise discrete mapping model and state variable boundary analytical expressions of the system were given, and the nature of the boundary collision phenomenon was analyzed. In [8][9][10][11], the essence of the slow-scale instability phenomenon in a voltage-source inverter is analyzed and the analytical expression of the oscillation frequency is derived. In [12,13], the fast-scale instability phenomenon in a voltage-source single-phase H-bridge inverter was studied, and the essence of this phenomenon was analyzed.…”

Section: Introductionmentioning

confidence: 99%

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Slow-Scale Nonlinear Control of a H-Bridge Photovoltaic Inverter

Yin

Gong

2023

Electronics

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Aiming at the slow-scale nonlinear behaviors of a dual-loop control H-bridge photovoltaic inverter, a slow-scale nonlinear control method based on time-delay feedback control is proposed. Firstly, a feedback signal is formed by the difference between the current error signal and its own delay, and the feedback signal is made to pass through a proportion link so as to obtain a time-delay control signal. Then, based on the necessary conditions of the stability criterion, the value range of the delay feedback proportional coefficient is quickly determined, and the best delay time is chosen by determining the variation curve of the largest Lyapunov exponent. Finally, based on the double-loop PI regulation, the time-delay control signal is added to the original control signal to form the final control signal applied to the inverter. The results obtained show that the slow-scale nonlinear behaviors in the system can be absolutely eliminated, and the stable operation domain of the inverter can be remarkably expanded. When the sun irradiance and temperature change, the proposed control method still has a good control effect and shows strong robustness. In addition, the complex calculation in determining the control coefficient and delay time can be avoided by the method.

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Section: Introductionmentioning

confidence: 99%

“…The inverse Laplace transform of Equation ( 9) is taken, and Equation (10), in which τ is contained explicitly, can be obtained.…”

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confidence: 99%

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Slow-Scale Nonlinear Control of a H-Bridge Photovoltaic Inverter

Yin

Gong

2023

Electronics

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Bifurcation analysis and control in a DC–AC inverter with PID controller

Wu,

Zhang,

Jiang

2024

Circuit Theory & Apps

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Aiming at the rich bifurcation and chaotic characteristics in the inverter with proportion integral derivative (PID) controller, the discrete iterative model of such an inverter was derived based on the stroboscopic mapping theory; the nonlinear evolution and the cause of instability in this inverter are analyzed. It was observed that the low‐frequency oscillation following instability was due to the Hopf bifurcation, which will decrease the power supplied quality by the inverter. To address the potential issue of the system instability caused by nonlinear behaviors, an improved exponential time‐delay feedback control scheme was proposed. The controlled object's output current first subtracted its own delay a period of time to form a difference term, which was subsequently fed into an exponential link to make difference with the constant 1. The resulting value was then fed into a proportional link to obtain the control term, which was applied to the PID controlled inverter in a feedback manner. Moreover, the range of the feedback proportional coefficient was solved via the Jury criterion. Finally, the effectiveness of this scheme was verified through the comparative simulations, demonstrating that this scheme can not only increase the stability domain for each parameter by more than 50% in the PID controlled inverter but also stabilize the quasi‐periodic behavior due to the low scale oscillation caused by the Hopf bifurcation at the switching frequency.

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Control of Instabilities in Resonant Converters Using Half‐Period Time Delay Output Feedback

Mandal,

Al‐Numay,

et al. 2024

Circuit Theory & Apps

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Bifurcation phenomena in power electronic converters lead to undesired instabilities. In this paper, different types of bifurcations are identified, which can occur in a series load resonant converter with the variation of the parameters for example, input voltage, load resistance, and so forth. These instabilities are associated mainly to three different bifurcations: (a) Neimark–Sacker, (b) saddle–node, and (c) symmetry breaking bifurcations. Due to the symmetry property of load resonant converters, a half‐period time delay output feedback control is used to avoid all of these instabilities. The ideal time delay is realized by a first‐order all‐pass‐filter. The stability analysis is performed and the values of the feedback gains are determined to identify the stable domain in the parameter space. By identifying the unstable orbits, the analytical stability analysis helps to understand as well as to control the mechanisms of these instabilities, which extends the stability domain of the system. This study can also be extended to other load resonant converters where the symmetry property naturally exists.

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A Filippov method based analytical perspective on stability analysis of a DC‐AC H‐bridge inverter with nonlinear rectifier load

Cited by 8 publications

References 40 publications

Slow-Scale Nonlinear Control of a H-Bridge Photovoltaic Inverter

Slow-Scale Nonlinear Control of a H-Bridge Photovoltaic Inverter

Bifurcation analysis and control in a DC–AC inverter with PID controller

Control of Instabilities in Resonant Converters Using Half‐Period Time Delay Output Feedback

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