Small-Signal Stability Analysis of Three-Phase AC Systems in the Presence of Constant Power Loads Based on Measured <i>d-q</i> Frame Impedances

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

doi:10.1109/tpel.2014.2378731

Cited by 384 publications

(199 citation statements)

References 35 publications

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“…The only notable difference is seen in the positive sequence impedance between 20 and 40 Hz. The model in (1) gives identical result as the reduced model (18), and this is expected since their analytic expressions are the same. The accurate model (16) gives identical results as the model obtained by the two frequency sweeps.…”

Section: Equivalence Validationmentioning

confidence: 63%

“…By visual inspection it is concluded that these two expressions complies with (18). The only exception is the argument of the filter transfer functions G v (s) and G i (s), this is due to the different modeling discussed in section II-B and appendix B.…”

Section: Relation Between Impedance Models In Original and Modifimentioning

confidence: 72%

“…By applying the reduced model (18), it is clear that the diagonal elements in the modified sequence domain admittance matrix equals the original sequence domain admittance. Consequently, considering the diagonal elements only is a valid approach for simplified analysis.…”

Section: B Comparing Siso Vs Mimo Impedance Modelsmentioning

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%

“…A frequency shift is also required in this step. This is achieved by the relations (16) or (18) derived in section IV. Note that this procedure is not reversible, i.e.…”

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.

108

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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: Equivalence Validationmentioning

confidence: 63%

Section: Relation Between Impedance Models In Original and Modifimentioning

confidence: 72%

Section: B Comparing Siso Vs Mimo Impedance Modelsmentioning

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%

“…A frequency shift is also required in this step. This is achieved by the relations (16) or (18) derived in section IV. Note that this procedure is not reversible, i.e.…”

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.

108

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Nyquist Stability Criterion and its Application to Power Electronics Systems

Ամին

Zhang

Rygg

et al. 2019

Wiley Encyclopedia of Electrical and Electronics Engineering

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The Nyquist stability criterion is a graphical technique for determining the stability of a dynamical system. It relates the stability of a closed‐loop system to the open‐loop frequency response and open‐loop pole location. The Nyquist technique is limited to linear, time‐invariant (LTI) systems and has been widely used for designing and analyzing systems with feedback. A practical advantage of the technique is that it can be applied directly to measured frequency response data, due to which the technique is widely used in power electronics systems, where the complexity of a mathematical model would make its widespread use unfeasible. In its first part, this article guides through the fundamentals of the Nyquist stability criterion applied to feedback systems with SISO and MIMO representations. The generalized Nyquist criterion for MIMO systems is then discussed to illustrate its application to the stability assessment of three‐phase power electronics systems. In the second part, four representative cases are introduced to illustrate the applicability of Nyquist criterion–based stability analysis for power electronics systems: a dc‐dc converter, an HVDC system, a three‐phase converter, and a wind farm–HVDC grid integrated system. In the last section of this article, some advanced topics related to large‐scale power electronics systems are introduced. Inherent aspects that are essential for the proper use of these stability techniques are elaborated and discussed in detail, for instance, impedance transformation and modified sequence impedance or the system‐level analysis.

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Power Electronics‐Enabled Autonomous Power Systems

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Input power factor compensation for high-power CSC fed PMSM drive using d-axis stator current control. IEEE Trans. Ind. Electron. 59(2), 752-761. Alamri BR and Alamri AR (2009). Technical review of energy storage technologies when integrated with intermittent renewable energy. Proc. Int. Conf. Sustainable Power Generation and Supply. pp. 1-5. Ambrose J (2019). National Grid 'had three blackout near-misses in three months'. https:// www.theguardian.com/business/2019/aug/16/national-grid-blackout-report-avoidablefaults-blamed. Amin M (2008). Challenges in reliability, security, efficiency, and resilience of energy infrastructure: Toward smart self-healing electric power grid. Proc. IEEE Power and Energy Society General Meeting -Conversion and Delivery of Electrical Energy in the 21st Century. pp. 1-5. Amin M and Zhong QC (2019). Application of virtual synchronous machines to the Texas Panhandle wind power system. Technical report.

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Small-Signal Stability Analysis of Three-Phase AC Systems in the Presence of Constant Power Loads Based on Measured d-q Frame Impedances

Cited by 384 publications

References 35 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

Nyquist Stability Criterion and its Application to Power Electronics Systems

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