Error Accumulation using Linearized Models for Aggregating Flexibility in Distribution Systems

Fuente: arXiv
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Main Authors: Jiang, Yanlin, Dai, Xinliang, Zahn, Frederik, Guo, Yi, Hagenmeyer, Veit
Format: Preprint
Published: 2025
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author Jiang, Yanlin
Dai, Xinliang
Zahn, Frederik
Guo, Yi
Hagenmeyer, Veit
author_facet Jiang, Yanlin
Dai, Xinliang
Zahn, Frederik
Guo, Yi
Hagenmeyer, Veit
contents This paper investigates flexibility aggregation approaches based on linear models. We begin by examining the theoretical foundations of linear AC power flow, two variants of so-called DC power flow, and the LinDistFlow model, along with their underlying assumptions. The discussion covers key system details, including network topology, voltage constraints, and line losses. Simulations are conducted on the KIT Campus Nord network with real demand and solar data. Results show that, in the absence of negative losses, line losses are generally underestimated by linear models. Furthermore, line losses errors tend to accumulate both at the point of common coupling (PCC) and over extended time horizons.
format Preprint
id arxiv_https___arxiv_org_abs_2508_04382
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Error Accumulation using Linearized Models for Aggregating Flexibility in Distribution Systems
Jiang, Yanlin
Dai, Xinliang
Zahn, Frederik
Guo, Yi
Hagenmeyer, Veit
Systems and Control
This paper investigates flexibility aggregation approaches based on linear models. We begin by examining the theoretical foundations of linear AC power flow, two variants of so-called DC power flow, and the LinDistFlow model, along with their underlying assumptions. The discussion covers key system details, including network topology, voltage constraints, and line losses. Simulations are conducted on the KIT Campus Nord network with real demand and solar data. Results show that, in the absence of negative losses, line losses are generally underestimated by linear models. Furthermore, line losses errors tend to accumulate both at the point of common coupling (PCC) and over extended time horizons.
title Error Accumulation using Linearized Models for Aggregating Flexibility in Distribution Systems
topic Systems and Control
url https://arxiv.org/abs/2508.04382