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The increasing transmission capacity needs in a future energy system raise the question how associated costs should be allocated to the users of a strengthened power grid. In contrast to straightforward oversimplified methods, a flow…

We consider the problem of deriving an explicit approximate solution of the nonlinear power equations that describe a balanced power distribution network. We give sufficient conditions for the existence of a practical solution to the power…

Optimization and Control · Mathematics 2019-07-09 Saverio Bolognani , Sandro Zampieri

This paper proposes a linear approximation of the alternating current optimal power flow problem for multiphase distribution networks with voltage-dependent loads connected in both wye and delta configurations. We establish a set of linear…

Optimization and Control · Mathematics 2024-04-11 Geunyeong Byeon , Minseok Ryu , Kibaek Kim

PyPSA-Eur, the first open model dataset of the European power system at the transmission network level to cover the full ENTSO-E area, is presented. It contains 6001 lines (alternating current lines at and above 220 kV voltage level and all…

Physics and Society · Physics 2018-10-03 Jonas Hörsch , Fabian Hofmann , David Schlachtberger , Tom Brown

This study addresses the transmission value of energy storage in electric grids. The inherent connection between storage and transmission infrastructure is captured from a "cumulative energy" perspective, which enables the reformulating of…

Systems and Control · Electrical Eng. & Systems 2024-07-15 Qian Zhang , P. R. Kumar , Le Xie

Large-scale power system planning mostly uses linearized, active power only approximations of the power flow equations, ignores many operational constraints, and tests the operational feasibility of the resulting systems only under strongly…

Optimization and Control · Mathematics 2026-04-03 Gereon Recht , Oussama Alaya , Benedikt Jahn , Karl-Kiên Cao , Hendrik Lens

Social acceptance is a multifaceted consideration when planning future energy systems, yet often challenging to address endogeneously. One key aspect regards the spatial distribution of investments. Here, I evaluate the cost impact and…

Physics and Society · Physics 2021-05-03 Fabian Neumann

Using Principal Component Analysis (PCA), the nodal injection and line flow patterns in a network model of a future highly renewable European electricity system are investigated. It is shown that the number of principal components needed to…

Signal Processing · Electrical Eng. & Systems 2018-11-14 Fabian Hofmann , Mirko Schäfer , Tom Brown , Jonas Hörsch , Stefan Schramm , Martin Greiner

Linear approximations of the AC power flow equations are of great significance for the computational efficiency of large-scale optimal power flow (OPF) problems. Put differently, the feasibility of the obtained solution is essential for…

Systems and Control · Electrical Eng. & Systems 2023-06-12 Meiyi Li , Yuhan Du , Javad Mohammadi , Constance Crozier , Kyri Baker , Soummya Kar

There are two competing concepts in the literature for the integration of high shares of renewable energy: the coupling of electricity to other energy sectors, such as transport and heating, and the reinforcement of continent-wide…

Physics and Society · Physics 2018-07-13 T. Brown , D. Schlachtberger , A. Kies , S. Schramm , M. Greiner

Energy system optimization models are indispensable for planning the European energy transition. Yet their applicability is constrained by the fundamental trade-off between spatial detail and computational tractability. Modelers often…

Optimization and Control · Mathematics 2026-05-14 Benjamin Stöckl , Marco Anarmo , Sonja Wogrin , Yannick Werner

Power losses in electrical power systems especially, distribution systems, occur due to several environmental and technical factors. Transmission & Distribution line losses are normally 17% and 50% respectively. These losses are due to the…

Systems and Control · Electrical Eng. & Systems 2023-07-13 Umar Jamil

This paper proposes a simple and flexible storage model for use in a variety of multi-period optimal power flow problems. The proposed model is designed for research use in a broad assortment of contexts enabled by the following key…

Systems and Control · Electrical Eng. & Systems 2020-05-01 Frederik Geth , Carleton Coffrin , David M Fobes

The transition towards decarbonized energy systems requires the expansion of renewable and flexibility technologies in power sectors. In a model comparison, we examine the optimal expansion of such technologies with six capacity expansion…

Models for long-term investment planning of the power system typically return a single optimal solution per set of cost assumptions. However, typically there are many near-optimal alternatives that stand out due to other attractive…

Physics and Society · Physics 2020-09-25 Fabian Neumann , Tom Brown

We consider the worst-case load-shedding problem in electric power networks where a number of transmission lines are to be taken out of service. The objective is to identify a pre-specified number of line outage that leads to the maximum…

Optimization and Control · Mathematics 2018-10-22 Fu Lin

In power systems, large-scale optimisation problems are extensively used to plan for capacity expansion at the supra-national level. However, their cost-optimal solutions are often not exploitable by decision-makers who are preferably…

Optimization and Control · Mathematics 2022-06-01 Antoine Dubois , Damien Ernst

Robust simulation is essential for reliable operation and planning of transmission and distribution power grids. At present, disparate methods exist for steady-state analysis of the transmission (power flow) and distribution power grid…

Signal Processing · Electrical Eng. & Systems 2018-08-10 Amritanshu Pandey , Marko Jereminov , Martin R. Wagner , David M. Bromberg , Gabriela Hug , Larry Pileggi

This paper proposes a novel and simple linear model to capture line losses for use in linearized DC models, such as optimal power flow (DC-OPF) and security-constrained economic dispatch (SCED). The \textit{Line Loss Outer Approximation}…

Optimization and Control · Mathematics 2021-12-28 Haoruo Zhao , Mathieu Tanneau , Pascal Van Hentenryck

The rapid expansion of low-cost renewable electricity combined with end-use electrification in transport, industry, and buildings offers a promising path to deep decarbonisation. However, aligning variable supply with demand requires…

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