Analysis of D-Q Small-Signal Impedance of Grid-Tied Inverters

Wen, Bo; Boroyevich, Dushan; Burgos, Rolando; Mattavelli, Paolo; Shen, Z. John

doi:10.1109/tpel.2015.2398192

Cited by 1,003 publications

(683 citation statements)

References 38 publications

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“…A The sequence domain model from [1] B The dq-domain model from [3] C The modified sequence domain model from [2] These three models are now presented in separate subsections along with a brief discussion on their respective impedance domains.…”

Section: Impedance Models Of the Three-phase Vscmentioning

confidence: 99%

“…Note that the voltage feed-forward (K f (s) in [1]) is omitted since it is not included in [3] or [2], and the objective of the present paper is to compare these three impedance models, from the stability point of view.…”

Section: A Impedance Model By Harmonic Linearization In the Sequencementioning

confidence: 99%

“…[3] and [4]. The model in [3] is used as basis for comparison in the present paper, and is given in (3).…”

Section: B Impedance Model In the Dq-domainmentioning

confidence: 99%

“…Examples of of dq impedance model applications can be found in the three-phase VSC is performed in e.g. [3][4] [18] [19].…”

mentioning

confidence: 99%

“…In the present paper additional expressions are derived, and the method is applied to the three-phase VSC as an example. The objective of this example is to establish an unambiguous relation between the analytical dq-model in [3] with the modified sequence domain model in [2], and also the sequence domain model in [1].…”

mentioning

confidence: 99%

See 4 more Smart Citations

On the Equivalence and Impact on Stability of Impedance Modeling of Power Electronic Converters in Different Domains

Rygg

Molinas

Zhang

et al. 2017

IEEE J. Emerg. Sel. Topics Power Electron.

105

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Abstract-Small-signal analysis of power electronic converters and systems is often carried out by impedance-based methods. At the core of these methods lies the impedance modelling, which can either be obtained through analytical calculations, simulations or measurements. The impedance models can be obtained into two main domains -the dq-domain and the sequence domain. In the dq-domain the impedance model is a 2x2 matrix, while in the sequence domain it is composed by the positive and negative sequence impedance. Recently, a third domain called the modified sequence domain was defined as an extension to the sequence domain, but also with clear similarities to the dq-domain. The objective of this paper is to unambiguously relate to each other the impedances in these three domains, and to show how this equivalence translates into their respective stability assessments. It is also proven that the sequence domain impedance has the same marginal stability condition as the dq-domain impedance matrix.The three-phase Voltage Source Converter is used as an example converter in this paper, as its impedance model in all three domains is well established and reported by previous research. The results in this paper shows that the modified sequence domain model can be derived from the dq-domain model (and vice versa), and that the stability analysis will be identical in these two domains. It is also shown how the original sequence domain model can be derived from the two other models through a model reduction. However, a small discrepancy between the two Nyquist plots is observed in the presence of components such as phase lock loop or DC-link control.

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Section: Impedance Models Of the Three-phase Vscmentioning

confidence: 99%

Section: A Impedance Model By Harmonic Linearization In the Sequencementioning

confidence: 99%

“…[3] and [4]. The model in [3] is used as basis for comparison in the present paper, and is given in (3).…”

Section: B Impedance Model In the Dq-domainmentioning

confidence: 99%

“…Examples of of dq impedance model applications can be found in the three-phase VSC is performed in e.g. [3][4] [18] [19].…”

mentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

On the Equivalence and Impact on Stability of Impedance Modeling of Power Electronic Converters in Different Domains

Rygg

Molinas

Zhang

et al. 2017

IEEE J. Emerg. Sel. Topics Power Electron.

105

View full text Add to dashboard Cite

show abstract

Stability enhancement module for grid‐following converters: Hardware implementation and validation

Fan

Zhou

et al. 2021

Int Trans Electr Energ Syst

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Summary Low‐frequency oscillations limit power delivery of voltage‐source converter interfaced resources, for example, wind and solar, operating in grid‐following control mode. Our prior research identified the instability mechanism as the coupling between real power and voltage at point of common coupling. In turn, a stability enhancement control was proposed to weaken the coupling by introducing a simple voltage‐based feedback loop. The stability enhancement control has been validated via electromagnetic transient simulation testbeds. The objectives of this paper are (a) to provide a more insightful explanation of the enhancement module by examining the impedance of the grid‐following converter and (b) to verify the performance of the stability module using a hardware testbed. The theoretic examination demonstrates that stability enhancement module effectively reduces the negative resistance effect of Zqq and thus boosts stability. The experimental research leads to a hardware testbed of a grid‐following converter with the ability of demonstrating low‐frequency oscillations. The experimental results demonstrate the efficacy of the proposed stability enhancement control and the readiness of commercial realization of the stability enhancement unit.

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Control strategies for permanent magnet synchronous generator‐based wind turbine with independent grid‐forming capability in stand‐alone operation mode

Yuan

Zhang

et al. 2021

Int Trans Electr Energ Syst

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Analysis of D-Q Small-Signal Impedance of Grid-Tied Inverters

Cited by 1,003 publications

References 38 publications

On the Equivalence and Impact on Stability of Impedance Modeling of Power Electronic Converters in Different Domains

On the Equivalence and Impact on Stability of Impedance Modeling of Power Electronic Converters in Different Domains

Stability enhancement module for grid‐following converters: Hardware implementation and validation

Control strategies for permanent magnet synchronous generator‐based wind turbine with independent grid‐forming capability in stand‐alone operation mode

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