Impact of Phase Selection on Accuracy and Scalability in Calculating Distributed Energy Resources Hosting Capacity

Fuente: arXiv
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Autori principali: Antic, Tomislav, Keane, Andrew, Capuder, Tomislav
Natura: Preprint
Pubblicazione: 2024
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author Antic, Tomislav
Keane, Andrew
Capuder, Tomislav
author_facet Antic, Tomislav
Keane, Andrew
Capuder, Tomislav
contents Hosting capacity (HC) and dynamic operating envelopes (DOEs), defined as dynamic, time-varying HC, are calculated using three-phase optimal power flow (OPF) formulations. Due to the computational complexity of such optimisation problems, HC and DOE are often calculated by introducing certain assumptions and approximations, including the linearised OPF formulation, which we implement in the Python-based tool ppOPF. Furthermore, we investigate how assumptions of the distributed energy resource (DER) connection phase impact the objective function value and computational time in calculating HC and DOE in distribution networks of different sizes. The results are not unambiguous and show that it is not possible to determine the optimal connection phase without introducing binary variables since, no matter the case study, the highest objective function values are calculated with mixed integer OPF formulations. The difference is especially visible in a real-world low-voltage network in which the difference between different scenarios is up to 14 MW in a single day. However, binary variables make the problem computationally complex and increase computational time to several hours in the DOE calculation, even when the optimality gap different from zero is set.
format Preprint
id arxiv_https___arxiv_org_abs_2405_20682
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Impact of Phase Selection on Accuracy and Scalability in Calculating Distributed Energy Resources Hosting Capacity
Antic, Tomislav
Keane, Andrew
Capuder, Tomislav
Systems and Control
Optimization and Control
Hosting capacity (HC) and dynamic operating envelopes (DOEs), defined as dynamic, time-varying HC, are calculated using three-phase optimal power flow (OPF) formulations. Due to the computational complexity of such optimisation problems, HC and DOE are often calculated by introducing certain assumptions and approximations, including the linearised OPF formulation, which we implement in the Python-based tool ppOPF. Furthermore, we investigate how assumptions of the distributed energy resource (DER) connection phase impact the objective function value and computational time in calculating HC and DOE in distribution networks of different sizes. The results are not unambiguous and show that it is not possible to determine the optimal connection phase without introducing binary variables since, no matter the case study, the highest objective function values are calculated with mixed integer OPF formulations. The difference is especially visible in a real-world low-voltage network in which the difference between different scenarios is up to 14 MW in a single day. However, binary variables make the problem computationally complex and increase computational time to several hours in the DOE calculation, even when the optimality gap different from zero is set.
title Impact of Phase Selection on Accuracy and Scalability in Calculating Distributed Energy Resources Hosting Capacity
topic Systems and Control
Optimization and Control
url https://arxiv.org/abs/2405.20682