Linear Time-Periodic Theory-Based Modeling and Stability Analysis of Voltage-Source Converters

Yang, Huoming; Just, Hendrik; Eggers, Malte; Dieckerhoff, Sibylle

doi:10.1109/jestpe.2020.3003379

Cited by 25 publications

(13 citation statements)

References 25 publications

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“…The LTP framework is also useful to describe the dynamics of CDPS under non-nominal conditions or in the presence of disturbances. In [190], [191], the non-linear LTP model was developed using complex mathematics and linearized using Wirtinger calculus [192] to consider unbalanced conditions in CDPS. Unbalanced conditions included positive and negative-sequence components with oscillatory behavior.…”

Section: B Average Modelsmentioning

confidence: 99%

Review of Dynamic and Transient Modeling of Power Electronic Converters for Converter Dominated Power Systems

et al. 2021

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In response to national and international carbon reduction goals, renewable energy resources like photovoltaics (PV) and wind, and energy storage technologies like fuel-cells are being extensively integrated in electric grids. All these energy resources require power electronic converters (PECs) to interconnect to the electric grid. These PECs have different response characteristics to dynamic stability issues compared to conventional synchronous generators. As a result, the demand for validated models to study and control these stability issues of PECs has increased drastically. This paper provides a review of the existing PEC model types and their applicable uses. The paper provides a description of the suitable model types based on the relevant dynamic stability issues. Challenges and benefits of using the appropriate PEC model type for studying each type of stability issue are also presented.

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Section: B Average Modelsmentioning

confidence: 99%

Review of Dynamic and Transient Modeling of Power Electronic Converters for Converter Dominated Power Systems

et al. 2021

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“…To characterize the time-periodic dynamics in unbalanced or harmonically distorted ac systems, three modeling methods are developed: 1) the harmonic state space (HSS) modeling [13]- [18]; 2) the dynamic phasor (DP) modeling [19]- [22]; 3) the generalized dq (GDQ) modeling [23]- [25].…”

Section: Introductionmentioning

confidence: 99%

“…The HSS model results in a harmonic transfer function (HTF) in the frequency domain, which is, essentially, an LTI transfer function matrix, revealing dynamic couplings between the Fourier coefficients of harmonics [29]. The HSS modeling has been used for dynamic analyses of single-phase converters [13], modular multilevel converters [15], [16], and three-phase converters in unbalanced grids [17], [18]. While originally derived with real-valued LTP models, it is later found that the HSS model can also be used to represent complex-valued LTP models, which facilitates the integration of closed-loop control dynamics into power stages of converters [16], [17], [30].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Relationships of Linearized Modeling Methods of AC Power Electronic Systems

Liao¹,

wang²

2021

Preprint

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The harmonic state-space, the dynamic phasor, and the generalized <i>dq</i> modeling are three methods developed for linearization of ac power electronic systems. This paper reveals explicitly mathematical relationships between the three modeling methods in both time and frequency domain. Representations of linearized models in different reference frames and from time domain to frequency domain, as well as their transformations are elaborated step by step. Case studies on a three-phase voltage-source converter that is connected to an unbalanced grid verify the theoretical findings.<br>

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“…To characterize the time-periodic dynamics in unbalanced or harmonically distorted ac systems, three modeling methods have been developed: 1) the harmonic state space (HSS) modeling [13]- [18]; 2) the dynamic phasor (DP) modeling [19]- [22]; 3) the generalized dq (GDQ) modeling [23]- [25].…”

mentioning

confidence: 99%

“…The HSS model results in a harmonic transfer function (HTF) in the frequency domain, which is, essentially, an LTI transfer function matrix, revealing dynamic couplings between the Fourier coefficients of harmonics [29]. The HSS modeling has been used for dynamic analyses of single-phase converters [13], modular multilevel converters [15], [16], and three-phase converters in unbalanced grids [17], [18]. While originally derived with the real-valued LTP models, it is later found that the HSS model can also be used to represent complexvalued LTP models, which facilitates the integration of closed-loop control dynamics into power stages of converters [16], [17], [30].…”

mentioning

confidence: 99%

Small-Signal Modeling of AC Power Electronic Systems: Critical Review and Unified Modeling

Liao

Wang

2021

IEEE Open J. Power Electron.

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The harmonic state-space (HSS), the dynamic phasor (DP), and the generalized dq (GDQ) modeling are three widely used methods for small-signal analysis of ac power electronic systems. By reviewing their principles and deriving their mathematical relationships, this paper proposes a unified framework for all the three approaches. The unified modeling reveals that the linearization and transformation can be exchanged flexibly in the modeling process, and the initial phase takes a role in transforming the GDQ model into the HSS or DP model. Case studies on a three-phase voltage-source converter in unbalanced power grids are provided for validation. The relationships of three modeling methods are verified by mathematical proofs and time-domain simulations. The unified frequency-domain model is further validated through the frequency scan in experiments. Insights of the unified modeling framework and recommendations from engineering perspectives are finally discussed.

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Linear Time-Periodic Theory-Based Modeling and Stability Analysis of Voltage-Source Converters

Cited by 25 publications

References 25 publications

Review of Dynamic and Transient Modeling of Power Electronic Converters for Converter Dominated Power Systems

Review of Dynamic and Transient Modeling of Power Electronic Converters for Converter Dominated Power Systems

Mathematical Relationships of Linearized Modeling Methods of AC Power Electronic Systems

Small-Signal Modeling of AC Power Electronic Systems: Critical Review and Unified Modeling

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