A Proportional-Integral Model for Fractional Voltage Tripping of Distributed Energy Resources

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Main Authors: Katanic, Milos, Verbic, Gregor, Lygeros, John, Hug, Gabriela
Format: Preprint
Published: 2024
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author Katanic, Milos
Verbic, Gregor
Lygeros, John
Hug, Gabriela
author_facet Katanic, Milos
Verbic, Gregor
Lygeros, John
Hug, Gabriela
contents In regions with high shares of distributed energy resources (DERs), massive disconnection of small-scale DERs in low-voltage distribution grids during disturbances poses a serious threat to power system security. However, modeling this effect in a computationally efficient way remains challenging. This paper proposes a novel proportional-integral aggregate model for predicting the fraction of tripped DERs based on the voltage at the substation connection point. The model effectively captures the cumulative behavior of the system, is simple to implement, and includes seven parameters for undervoltage tripping and seven for overvoltage tripping behavior, each with a distinct physical meaning. We further propose an optimization-based approach to tune the model parameters. Simulation results show significantly more accurate predictions compared to the DER\_A model -- a standard dynamic model for aggregate DER behavior -- even when the latter is optimized, with only a minor increase in model complexity.
format Preprint
id arxiv_https___arxiv_org_abs_2412_03247
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Proportional-Integral Model for Fractional Voltage Tripping of Distributed Energy Resources
Katanic, Milos
Verbic, Gregor
Lygeros, John
Hug, Gabriela
Systems and Control
In regions with high shares of distributed energy resources (DERs), massive disconnection of small-scale DERs in low-voltage distribution grids during disturbances poses a serious threat to power system security. However, modeling this effect in a computationally efficient way remains challenging. This paper proposes a novel proportional-integral aggregate model for predicting the fraction of tripped DERs based on the voltage at the substation connection point. The model effectively captures the cumulative behavior of the system, is simple to implement, and includes seven parameters for undervoltage tripping and seven for overvoltage tripping behavior, each with a distinct physical meaning. We further propose an optimization-based approach to tune the model parameters. Simulation results show significantly more accurate predictions compared to the DER\_A model -- a standard dynamic model for aggregate DER behavior -- even when the latter is optimized, with only a minor increase in model complexity.
title A Proportional-Integral Model for Fractional Voltage Tripping of Distributed Energy Resources
topic Systems and Control
url https://arxiv.org/abs/2412.03247