Model Reduction and Dynamic Aggregation of Grid-Forming Inverter Networks

Ajala, Olaoluwapo; Baeckeland, Nathan; Johnson, Brian; Dhople, Sairaj V.; Domínguez-García, Alejandro D.

doi:10.1109/tpwrs.2022.3229970

Cited by 11 publications

(2 citation statements)

References 32 publications

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“…Finally, the equations for the PI control loop of the converter current through the R f , L f filter are given as ( 20)- (23), where (20) and (21) represent the integrator and ( 22) and ( 23) create the voltage reference of the DC/AC converter.…”

Section: Modelling the Grid-forming Converter Control Loopsmentioning

confidence: 99%

“…The MOR method in [23] consists of the aggregation of the same type of parallel connected GFMs, the Kron reduction of the network, and the singular perturbation of the aggregated converters. Since the method ignores all dynamics of the power lines except the ones directly connected to converters, and discards states with short time constants, the obtained fixed reduced model does not adapt to the type and location of practical events.…”

Section: Introductionmentioning

confidence: 99%

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State Residualisation and Kron Reduction for Model Order Reduction of Energy Systems

et al. 2023

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Greater numbers of power electronics (PEs) converters are being connected to energy systems due to the development of renewable energy sources, high-voltage transmission, and PE-interfaced loads. Given that power electronics-based devices and synchronous machines have very different dynamic behaviours, some modelling approximations, which may commonly be applied to run transient simulations of transmission systems, may not be optimal for future grids. Indeed, the systematic utilisation of the phasor approximation for power lines, implemented in most transient simulation programs, is increasingly not appropriate anymore. In order to avoid the requirement for full electromagnetic transient simulations, which can be resource-demanding and time-consuming, this paper proposes a combination of an event-based state residualisation approximation and the Kron reduction technique. The proposed technique has the advantage of allowing accurate transient simulations based on the optimal reduction of the number of state variables, depending on the observed variables, the considered events, and the tolerated approximation error, along with simplifying power systems equations for accelerated simulations.

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Section: Modelling the Grid-forming Converter Control Loopsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%