A Time-Domain Stability Analysis Method for Grid-Connected Inverter With PR Control Based on Floquet Theory

Li, Hong; Liu, Chen; Jiang, Xiaheng; Zeng, Yangbin; Guo, Zhongya; Zheng, Trillion Q.

doi:10.1109/tie.2020.3036227

Cited by 15 publications

(3 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…PR control was firstly proposed by Marco Liserre in 2006 to provide an optimal ac current control for inverters [30], which can offer infinite gain at a certain frequency by using generalised integrators and obtain zero steady-state error at the fundamental frequency. Therefore, the PR control is adopted to achieve current control in this paper.…”

Section: The General Time-domain Model Of N-parallel Inverters Systemmentioning

confidence: 99%

“…In recent years, a time-domain stability analysis method based on Floquet theory has been proposed and successfully employed into DC-DC converters system and single-phase inverter with proportional integral (PI) control and proportional resonance (PR) control [22,[27][28][29][30]. Compared with frequencydomain stability analysis method, the time-domain stability analysis method based on Floquet theory can avoid the complicated derivation of the required transfer functions in Routh criterion or the impedances expression in impedance criterion, only a state transition matrix is required, which can be obtained by the time-domain state equations for power converters system.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Floquet theory‐based fast time‐domain stability analysis forN‐parallel inverters system

Hong

Jiang

Liu

et al. 2021

IET Power Electronics

Self Cite

View full text Add to dashboard Cite

Based on Floquet theory, a simple and fast time-domain stability analysis method for an N-parallel inverters system is proposed. Furthermore, a general time-domain model of the N-parallel inverters system in grid-connected mode and in island mode are derived, and the corresponding stability criteria are derived based on the Floquet theory. Subsequently, simulations and experiments of a two-parallel inverters system in island and grid-connected modes are conducted to verify the correctness and effectiveness of the proposed timedomain stability analysis method. To the end, the complexity comparison between the proposed time-domain method and the traditional frequency-domain method is presented to prove the advantages of the proposed method over the tedious manual derivation.

show abstract

Section: The General Time-domain Model Of N-parallel Inverters Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Floquet theory‐based fast time‐domain stability analysis forN‐parallel inverters system

Hong

Jiang

Liu

et al. 2021

IET Power Electronics

Self Cite

View full text Add to dashboard Cite

show abstract

“…Whereas, the Middlebrook impedance criterion is only a sufficient condition to ensure the stability of a system, which limits the parameters design of circuits. In addition, Floquet theory [16][17] has been also applied to the stability analysis of a cascaded converters system, but these methods mentioned above are all based on the small-signal model and the non-linear characteristics of cascaded converters system are ignored or linearized, which leads to the inaccuracy of the modeling.…”

Section: Introductionmentioning

confidence: 99%

A Describing Function-Based Stability Analysis Method for Cascaded DC-DC Converters

Liu

Zhang

et al. 2022

IEEE Open J. Ind. Electron. Soc.

Self Cite

View full text Add to dashboard Cite

The parameters of each DC-DC converter in a cascaded converters system are often set up separately, which may cause instability or even breakdown of the whole system. The traditional Middlebrook impedance stability criterion and Nyquist criterion are based on the small-signal model, where the non-linear links are ignored or linearized, however, which leads to inaccurate modeling, and the stability range cannot be obtained analytically. In this paper, the non-linear links, i.e. pulse width modulation links, of cascaded DC-DC converters system are first modeled by the describing function; then, a novel stability analysis method for the cascaded DC-DC converters system is proposed by combining the impedance analysis method, Nyquist criterion and describing function, by which, the accurate stability range of the converter control parameters can be derived. Since the describing function method is only applicable to a single converter, in order to apply it to the cascaded converters, a source/load converter equivalent method is proposed. To this end, a two-stage cascaded boost converters system is taken as an example, and the simulation and experiment are conducted to verify the correctness and accuracy of the proposed stability analysis method. It provides an analytical method to determine not only the stable and unstable ranges but also the critical stability range of the cascaded system, namely, a quantifiable stability range of control parameters.INDEX TERMS Stability analysis method, cascaded DC-DC converters, describing function.

show abstract

An Intuitionistic Time-Domain Stability Analysis Method Based on Floquet Theory for Three-Phase Grid-Following Converter

Pan

Zhou

et al. 2023

Lecture Notes in Electrical Engineering

View full text Add to dashboard Cite

A Time-Domain Stability Analysis Method for Grid-Connected Inverter With PR Control Based on Floquet Theory

Cited by 15 publications

References 20 publications

A Floquet theory‐based fast time‐domain stability analysis forN‐parallel inverters system

A Floquet theory‐based fast time‐domain stability analysis forN‐parallel inverters system

A Describing Function-Based Stability Analysis Method for Cascaded DC-DC Converters

An Intuitionistic Time-Domain Stability Analysis Method Based on Floquet Theory for Three-Phase Grid-Following Converter

Contact Info

Product

Resources

About