Fractional techniques to characterize non-solid aluminum electrolytic capacitors for power electronic applications

Chen, Xi; Xi, Lei; Zhang, Yunning; Ma, Hui; Huang, Yuehua; Chen, YangQuan

doi:10.1007/s11071-019-05364-0

Cited by 20 publications

(14 citation statements)

References 40 publications

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“…The applications of fractional-order calculus have flourished over the past two decades, and systems have been found to exhibit non-integer-order dynamics, which has led to new approaches to circuit and controller design [19][20][21][22]. For the inductors and capacitors used in power converters, relevant studies have proven that they exhibit fractional-order characteristics, so the actual converter system should be of fractional order [23][24][25]. Researchers have studied the fractional behavior of inductors and capacitors.…”

Section: Introductionmentioning

confidence: 99%

Grid-Connected Inverter Based on a Resonance-Free Fractional-Order LCL Filter

Wang

Cai

2022

Fractal Fract

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The integer-order LCL (IOLCL) filter has excellent high-frequency harmonic attenuation capability but suffers from resonance, which causes system instability in grid-connected inverter applications. This paper studied a class of resonance-free fractional-order LCL (FOLCL) filters and control problems of single-phase FOLCL-type grid-connected inverters (FOGCI). The Caputo fractional calculus operator was used to describe the fractional-order inductor and capacitor. Compared with the conventional IOLCL filter, by reasonably selecting the orders of the inductor and capacitor, the resonance peak of the FOLCL filter could be effectively avoided. In this way, the FOGCI could operate stably without passive or active dampers, which simplified the design of control system. Furthermore, compared with a single-phase integer-order grid-connected inverter (IOGCI) controlled by an integer-order PI (IOPI) controller, the FOGCI, combined with a fractional-order PI (FOPI) controller, could achieve greater gain and phase margins, which improved the system performance. The correctness of the theoretical analyses was validated through both simulation and hardware-in-the-loop experiments.

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Section: Introductionmentioning

confidence: 99%

Grid-Connected Inverter Based on a Resonance-Free Fractional-Order LCL Filter

Wang

Cai

2022

Fractal Fract

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“…In the recent two decades, fractional-order models are widely adopted to characterize electronic components and circuit systems such as supercapacitors, lithium batteries and electrolytic capacitors because fractional calculus equation has long-term correlation and has mathematical operation relationship with power-law function (Jiang and Zhang, 2019; Zou et al , 2018; Chen et al , 2019; Elwakil, 2010; Zhang et al , 2021). This is the reason for the variation trend of interelectrode capacitance of MOSFETs in depletion and inversion zones and the long-term correlation of the formation processes of PN junction (LIN et al , 1982; Pullaiah et al , 2020; Dargar and Srivastava, 2019).…”

Section: Introductionmentioning

confidence: 99%

A fractional-order equivalent model for characterizing the interelectrode capacitance of MOSFETs

Huang

Chen

2022

COMPEL

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Purpose This paper aims to characterize the relationship between the interelectrode capacitance (C) of metal-oxide-semiconductor field-effect transistors (MOSFETs) and the applied bias voltage (V) by a fractional-order equivalent model. Design/methodology/approach A Riemann–Liouville-type fractional-order equivalent model is proposed for the C–V characteristic of MOSFETs, which is based on the mathematical relationship between fractional calculus and the semiconductor physical model for the interelectrode capacitance of metal oxide semiconductor structure. The C–V characteristic data of an N-channel MOSFET are obtained by Silvaco TCAD simulation. A differential evolution-based offline scheme is exploited for the parameter identification of the proposed model. Findings According to the results of theoretical analysis, mathematical derivation, simulation and comparison, this paper illustrates that, along with the variation of bias voltage applied, the interelectrode capacitance (C) of MOSFETs performs a fractional-order characteristic. Originality/value This work uncovers the fractional-order characteristic of MOSFETs’ interelectrode capacitance. By the proposed model, the influence of doping concentration on the gate leakage parasitic capacitance of MOSFETs can be revealed. In the pre-defined doping concentration range, the relative error of the proposed model is less than 5% for the description of C–V characteristics of metal-oxide-semiconductor field-effect transistors (MOSFETs). Compared to some existing models, the proposed model has advantages in both model accuracy and model complexity, and the variation of model parameters can directly reflect the relationship between the characteristics of MOSFETs and the doping concentration of materials. Accordingly, the proposed model can be used for the microcosmic mechanism analysis of MOSFETs. The results of the analysis produce evidence for the widespread existence of fractional-order characteristics in the physical world.

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“…Fractional calculus-also referred to as noninteger calculus-appears in modeling of various dynamical systems in engineering applications such as power networks and biological systems [1][2][3][4]. Corresponding fractional-order models can describe complex phenomena and as such allow to model said systems more accurately [2].…”

Section: Introductionmentioning

confidence: 99%

Extended Fractional Singular Kalman Filter

Nosrati

Belikov

Tepljakov

et al. 2021

Preprint

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Effective and accurate state estimation is a staple of modern modeling. On the other hand, nonlinear fractional-order singular (FOS) systems are an attractive modeling tool as well since they can provide accurate descriptions of systems with complex dynamics. Consequently, developing accurate state estimation methods for such systems is highly relevant since it provides vital information about the system including related memory effects and long interconnection properties with constraint elements. However, missing features in transforming structures such as violation of constraints in non-singular versions of such systems may affect the performance of the estimation result. This paper proposes the state estimation algorithm design for the original and non-transformed stochastic nonlinear FOS system. We introduce a deterministic data-fitting based framework which helps us to take steps directly towards Kalman filter (KF) derivation of the system, called extended fractional singular KF (EFSKF). Using stochastic reasoning, we demonstrate how to construct recursive form of the filter. Analysis of the filter shows how the proposed algorithm reduces to the nominal nonlinear filters when the system is in its usual state-space form making said algorithm highly flexible. Finally, simulation results verify that the estimation of nonlinear states can be accomplished with the proposed EFSKF algorithm with a reasonable performance.

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Fractional techniques to characterize non-solid aluminum electrolytic capacitors for power electronic applications

Cited by 20 publications

References 40 publications

Grid-Connected Inverter Based on a Resonance-Free Fractional-Order LCL Filter

Grid-Connected Inverter Based on a Resonance-Free Fractional-Order LCL Filter

A fractional-order equivalent model for characterizing the interelectrode capacitance of MOSFETs

Extended Fractional Singular Kalman Filter

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