A Geometric Interpretation of Reference Frames and Transformations: dq0, Clarke, and Park

O’Rourke, Colm J.; Qasim, Mohammad; Overlin, Matthew; Kirtley, James L.

doi:10.1109/tec.2019.2941175

Cited by 192 publications

(127 citation statements)

References 21 publications

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“…20 The resulting direct and quadrature components of voltage are used along with the reference DC current components I Rd and I Rq coming from the active and reactive power unit to produce the error values of the DCbus current, that is, Δi Rd = I Rd − I d and Δi Rq = I Rq − I q . These error values are then passed through PI-type controllers to regulate the voltages V d and V q to get V Ã d and V Ã q as follows 18 :…”

Section: Voltage Compensation Unit (Vcu)mentioning

confidence: 99%

“…V Ã d and V Ã q are then converted back to the three-phase components to get the reference voltage v Ã abc using the inverse Park transform as follows: The current compensation unit (CCU) works similar to the VCU as shown in Figure 3. The reference direct I Rd and quadrature I Rq components of current are obtained as 8,18 :…”

Section: Voltage Compensation Unit (Vcu)mentioning

confidence: 99%

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A hybrid voltage‐current compensator using a synchronous reference frame technique for grid‐connected microgrid under nonlinear load conditions

Khidrani

Habibuddin

Mustafa

et al. 2020

Int Trans Electr Energ Syst

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Power quality is important for the reliable operation of power grids. Unwanted harmonics cause serious degradation of power quality. This problem is more obvious for distributed generations connected to a microgrid. To solve this issue, this paper proposes an improved voltage and current (VI) compensator to collectively suppress voltage and current harmonics in a three-phase hybrid fuel cell and photovoltaic grid-connected inverters using a synchronous reference frame (SRF) based technique in the presence of non-linear loads. It is shown that the proposed compensator can effectively reduce the harmonic contents in voltage and current without any dependence on offset devices such as active and passive filters. Simulations in MATLAB/Simulink show that the proposed control strategy not only reduces the total harmonic distortion to less than 5% (as per the IEEE 519 standard) but also results in the least total harmonic distortion (THD) as compared to existing techniques. K E Y W O R D S current/voltage compensation, power quality, power system harmonics 1 | INTRODUCTION In the past few decades, photovoltaic (PV) and fuel cell (FC) systems have gained much popularity and have been successfully integrated with microgrids (MG) and utility networks through interface converters. 1 One of the most common power quality issues is the presence of unwanted harmonics in voltage and current. These problems are commonly attributed to non-linear loads (NLL) and interface converters, that is, grid-connective inverters (GCI) for distributed generations. 2,3 Interface converters form an integral part for interfacing renewable energy (RE) sources to the grid.

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Section: Voltage Compensation Unit (Vcu)mentioning

confidence: 99%

Section: Voltage Compensation Unit (Vcu)mentioning

confidence: 99%

A hybrid voltage‐current compensator using a synchronous reference frame technique for grid‐connected microgrid under nonlinear load conditions

Khidrani

Habibuddin

Mustafa

et al. 2020

Int Trans Electr Energ Syst

View full text Add to dashboard Cite

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“…1 (b). Through this transformation, both the single-phase and the three-phase d-q black-box models show a similar structure [30], [31].…”

Section: Proposed Blackbox Model For Ev Chargersmentioning

confidence: 99%

Black-Box Small-Signal Structure for Single-Phase and Three-Phase Electric Vehicle Battery Chargers

et al. 2020

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At present, it is safe to say that the future belongs to sustainable technologies. Electric vehicles are one of the most representative sustainable solutions for mobility. Some of the many advantages they offer are a clean operation, a profit gain from a possible power return to the grid in vehicle to grid applications, grid power support, etc. As it is expected, an increase in the production of electric cars, and other battery-based systems, lead to an increment in battery chargers. Therefore, energy distributors must deal with many different schemes in the grid and with the amount of energy demanded from a fleet of cars and other electric vehicles. This paper deals with the modeling of AC/DC battery chargers by identifying the transfer functions in any operating condition without knowing the specific details inside those chargers. This approach is called black-box modeling and the strategy is based on the information provided by the input and output variables of the charger. The research illustrates the flexibility of the model to work with singlephase and three-phase AC/DC chargers which are linked to on-board and off-board charging stations. An extensive set of tests is shown, verifying the accuracy of the proposed models in a wide variety of operating conditions. INDEX TERMS AC-DC power converters, battery chargers, black-box models, electric vehicles, modeling, power system dynamics, single-phase electric power, system identification, three-phase electric power.

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“…The synchronous frame to/from stationary frame transformation is performed via complex vector theory [32] or equivalently (inverse) Park and Clarke transformations [30], [31] for CSCC systems with linear symmetrical circuit parameters. In the case of two-phase modelling presented here, the synchronous frame to/from stationary frame transformations are distinctly performed for i σ and v σ .…”

Section: Two-phase Modelling Of 3p3w Vsc Systemsmentioning

confidence: 99%

Inductor Saturation Compensation in Three-Phase Three-Wire Voltage-Source Converters via Inverse System Dynamics-I

Özkan¹,

Hava²

2020

Preprint

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In three-phase three-wire (3P3W) voltage-source converter (VSC) systems, utilization of filter inductors with deep saturation characteristics is often advantageous due to the improved size, cost, and efficiency. However, with the use of conventional synchronous frame current control (CSCC) methods, the inductor saturation results in significant dynamic performance loss and poor steady-state current waveform quality. This paper proposes an inverse dynamic model based compensation (IDMBC) method to overcome these performance issues. Accordingly, a review of inductor saturation and core materials is performed, and the motivation on the use of saturable inductors is clarified. Then, two-phase exact modelling of the 3P3W VSC control system is obtained and the drawbacks of CSCC have been demonstrated analytically. Based on the exact modelling, the inverse system dynamic model of the nonlinear system is obtained and employed such that the nonlinear plant is converted to a fictitious linear inductor system for linear current regulators to perform satisfactorily.

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A Geometric Interpretation of Reference Frames and Transformations: dq0, Clarke, and Park

Cited by 192 publications

References 21 publications

A hybrid voltage‐current compensator using a synchronous reference frame technique for grid‐connected microgrid under nonlinear load conditions

A hybrid voltage‐current compensator using a synchronous reference frame technique for grid‐connected microgrid under nonlinear load conditions

Black-Box Small-Signal Structure for Single-Phase and Three-Phase Electric Vehicle Battery Chargers

Inductor Saturation Compensation in Three-Phase Three-Wire Voltage-Source Converters via Inverse System Dynamics-I

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