Reduced-order structure-preserving model for parallel-connected three-phase grid-tied inverters

Purba, Victor; Dhople, Sairaj V.; Jafarpour, Saber; Bullo, Francesco; Johnson, Brian

doi:10.1109/compel.2017.8013389

Cited by 36 publications

(10 citation statements)

References 11 publications

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“…The developed equivalent model can be confirmed by the analytical study of the dynamic equations of the system similar to that presented in [30]. For this purpose, the dynamics of the power controllers and the output filter are formulated as

\begin{equation} \frac{d}{{dt}}{i_{dq}} = \frac{1}{L}{\left({ - R{i_{dq}} + {v_{tdq}} - {v_{dq}}} \right)} \pm \omega {i_{qd}}{ }, \end{equation}

where

i_{d}, i_{q}

are dq components of current injected by inverter and

v_{td}, v_{tq}

and

v_{d}, v_{q}

are dq components of terminal and point of common coupling (PCC) voltages, respectively.…”

Section: Dynamic Model Of Vls‐pvmentioning

confidence: 53%

“…Other parts of the equivalent model for VLS-PV like transformers and collector systems are aggregated with methods proposed by Western Electricity Coordinating Council (WECC) and National Renewable Energy Laboratory (NREL) as described in [28] and [29]. As a summary, the dynamic model of one PV unit can be used for N-unit VLS-PVs by modifying filter parameters to The developed equivalent model can be confirmed by the analytical study of the dynamic equations of the system similar to that presented in [30]. For this purpose, the dynamics of the power controllers and the output filter are formulated as…”

mentioning

confidence: 99%

See 1 more Smart Citation

Impacts of integration of very large‐scale photovoltaic power plants on rotor angle and frequency stability of power system

Rezaei

Golshan

Alhelou

2022

IET Renewable Power Gen

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The increase in penetration of large-scale renewable generation significantly affects power system characteristics. Thus, it is necessary to assess the steady state and dynamic performance of a power system for different installing scenarios of renewable power plants such as photovoltaic (PV) ones. The paper specifically investigates the impacts of very large-scale photovoltaic (VLS-PV) generation on the power system dynamic performance including rotor-angle and frequency stabilities. For this purpose, a detailed equivalent dynamic model for a multi-unit VLS-PV system and corresponding controllers are developed. The paper also proposes a comprehensive set of replacement scenarios comprising different PV penetration, location, and voltage control strategies as well as simulating various large disturbances. To investigate the impacts of VLS-PV generation on dynamic system performance, a study framework for frequency and rotor-angle stability involving the modal and transient analysis is presented as well. By using the VLS-PV detailed model along with other dynamic components of a power system such as synchronous generators, automatic voltage regulators (AVRs), and governors, the stabilities studying instructions are employed for the IEEE 39-bus and 118-bus test systems.

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\begin{equation} \frac{d}{{dt}}{i_{dq}} = \frac{1}{L}{\left({ - R{i_{dq}} + {v_{tdq}} - {v_{dq}}} \right)} \pm \omega {i_{qd}}{ }, \end{equation}

where

i_{d}, i_{q}

are dq components of current injected by inverter and

v_{td}, v_{tq}

and

v_{d}, v_{q}

are dq components of terminal and point of common coupling (PCC) voltages, respectively.…”

Section: Dynamic Model Of Vls‐pvmentioning

confidence: 53%

mentioning

confidence: 99%

Impacts of integration of very large‐scale photovoltaic power plants on rotor angle and frequency stability of power system

Rezaei

Golshan

Alhelou

2022

IET Renewable Power Gen

View full text Add to dashboard Cite

show abstract

“…We derive the parameters of the aggregate transformer model by assuming a parallel connection of 100 commercial transformers rated at 1.6 MVA (see Table I). A detailed presentation and derivation of the model aggregation is out of the scope of this work, but we follow developments analogous to [30]- [32] in deriving the equivalent aggregate converter parameters.…”

Section: Remark 1 (Aggregate Converter Model)mentioning

confidence: 99%

Frequency Stability of Synchronous Machines and Grid-Forming Power Converters

Tayyebi

Grob

Anta

et al. 2020

IEEE J. Emerg. Sel. Topics Power Electron.

250

163

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An inevitable consequence of the global power system transition towards nearly 100% renewable-based generation is the loss of conventional bulk generation by synchronous machines, their inertia, and accompanying frequency and voltage control mechanisms. This gradual transformation of the power system to a low-inertia system leads to critical challenges in maintaining system stability. Novel control techniques for converters, so-called grid-forming strategies, are expected to address these challenges and replicate functionalities that so far have been provided by synchronous machines. This article presents a low-inertia case study that includes synchronous machines and converters controlled under various grid-forming techniques. In this work 1) the positive impact of the grid-forming converters on the frequency stability of synchronous machines is highlighted, 2) a qualitative analysis which provides insights into the frequency stability of the system is presented, 3) we explore the behavior of the grid-forming controls when imposing the converter dc and ac current limitations, 4) the importance of the dc dynamics in grid-forming control design as well as the critical need for an effective ac current limitation scheme are reported, and lastly 5) we analyze how and when the interaction between the fast gridforming converter and the slow synchronous machine dynamics can contribute to the system instability.

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“…Aggregation is a structure-preservation equivalence method to represent the dynamic characteristics of large-scale paralleled inverters in a simplified way [6][7][8][9][10][11]. In this method, the multiple identical or coherent inverters [9][10][11] are aggregated as a single up-scaled inverter, which has the same structure with actual inverters.…”

Section: Introductionmentioning

confidence: 99%

Emulation of Multi-Inverter Integrated Weak Grid via Interaction-Preserved Aggregation

Liao

Huang

Zha

et al. 2021

IEEE J. Emerg. Sel. Topics Power Electron.

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Simplified weak grid models are widely used to emulate the non-ideal power grid for the design and stability analysis of grid-connected inverters. However, the dynamic behavior of a real grid with multiple inverters is complex. In this paper, an emulation method is proposed for multi-inverter integrated weak grids using an interaction-preserved aggregation model associated with grid impedance. Firstly, the interaction among inverters in weak grids is analyzed using the state-space model and participation analysis. Then, two-inverter aggregation is proposed for a large-scale system. This model can preserve the impact of parameters on the interaction modes (IMs), and predict the IM-related instability of multi-inverter systems. Thus, the two-inverter representation is applied to emulation to preserve interactions and to simplify the testing of multiple inverters. The emulation of the 16-inverter system is implemented on a hardware-in-the-loop (HIL) test bench with one practical inverter controller under test and remaining parts integrated in the OPAL-RT real-time simulator. The test results show that the instability attributed to interaction can be identified by the proposed emulation method.

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Reduced-order structure-preserving model for parallel-connected three-phase grid-tied inverters

Cited by 36 publications

References 11 publications

Impacts of integration of very large‐scale photovoltaic power plants on rotor angle and frequency stability of power system

Impacts of integration of very large‐scale photovoltaic power plants on rotor angle and frequency stability of power system

Frequency Stability of Synchronous Machines and Grid-Forming Power Converters

Emulation of Multi-Inverter Integrated Weak Grid via Interaction-Preserved Aggregation

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