activity
20202026
most citedPowerModelsDistribution.jl: An Open-Source Framework for Exploring Distribution Power Flow Formulations

89 citations · 133 across the 17 of their papers we have counts for

collaborators

19 papers

eess.SY2026

Interactive Power Flow in the Browser

Samuel Talkington, Frederik Geth, Qian Zhang +2

This paper introduces tellegen, an open source framework for interactive power flow (PF) and optimal power flow (OPF) studies that run in the browser. This provides intuitive and d…

math.OC2024★ 1 cited

The Inverse Carson's Equations Problem: Definition, Implementation and Numerical Experiments

Ching Hong Tam, Frederik Geth, Nadarajah Mithulananthan

In recent years, with the increase in renewable energy and storage penetration, power flow studies in low-voltage networks have become of interest in both industry and academia. Ma…

math.OC2024

Improved Algebraic Inverter Modelling for Four-Wire Power Flow Optimization

Rahmat Heidari, Frederik Geth

This paper discusses the modeling of inverters used in distributed energy resources in steady state. Modeling the interaction between distribution grids and inverter-based resource…

math.OC2023★ 1 cited

Making Distribution State Estimation Practical: Challenges and Opportunities

Frederik Geth, Marta Vanin, Werner Van Westering +2

In increasingly digitalized and metered distribution networks, state estimation is generally recognized as a key enabler of advanced network management functionalities. However, de…

eess.SY2023

Data quality challenges in existing distribution network datasets

Frederik Geth, Marta Vanin, Dirk Van Hertem

Existing digital distribution network models, like those in the databases of network utilities, are known to contain erroneous or untrustworthy information. This can compromise the…

math.OC2023

An Open Optimal Power Flow Model for the Australian National Electricity Market

Rahmat Heidari, Matthew Amos, Frederik Geth

The Australian National Electricity Market (NEM) is a complex energy market that faces challenges due to the increasing number of distributed energy resources (DERs) and the transi…

math.OC2023

On the Implementation of the Fixed Point Iteration Current Injection Method to Solve Four-Wire Unbalanced Power Flow in PowerModelsDistribution.jl

Frederik Geth, Sander Claeys, Rahmat Heidari

This report serves as a technology description of a Julia-based re-implementation of the fixed-point current injection algorithm, available in PowerModelsDistribution.jl [1]. This…

eess.SY2023★ 4 cited

The Importance of Technical Distribution Network Limits in Dynamic Operating Envelopes

Tomislav Antic, Frederik Geth, Tomislav Capuder

End-users more often decide to invest in distributed generation (DG) units that help them in decreasing electricity bills and allow them to become a market player by selling the ex…

math.OC2022★ 1 cited

Pitfalls of Zero Voltage Values in Optimal Power Flow Problems

Frederik Geth

The existence of strictly positive lower bounds on voltage magnitude is taken for granted in optimal power flow problems. Nevertheless, it is not possible to rely on such bounds fo…

eess.SY2022★ 2 cited

Combined Unbalanced Distribution System State and Line Impedance Matrix Estimation

Marta Vanin, Frederik Geth, Reinhilde D'hulst +1

To address the challenges that the decarbonization of the energy sector is bringing about, advanced distribution network management and operation strategies are being developed. Ma…

math.OC2022★ 9 cited

Computational Analysis of Impedance Transformations for Four-Wire Power Networks with Sparse Neutral Grounding

Frederik Geth, Rahmat Heidari, Arpan Koirala

In low-voltage distribution networks, the integration of novel energy technologies can be accelerated through advanced optimization-based analytics such as network state estimation…

math.OC2022★ 24 cited

Optimal Power Flow in Four-Wire Distribution Networks: Formulation and Benchmarking

Sander Claeys, Frederik Geth, Geert Deconinck

In recent years, several applications have been proposed in the context of distribution networks. Many of these can be formulated as an optimal power flow problem, a mathematical o…

math.OC2022

Notes on BIM and BFM Optimal Power Flow With Parallel Lines and Total Current Limits

Frederik Geth, Bin Liu

The second-order cone relaxation of the branch flow model (BFM) and bus injection model (BIM) variants of optimal power flow are well-known to be equivalent for radial networks. In…

math.OC2022

Load Balancing in Low-Voltage Distribution Networks via Optimizing Residential Phase Connections

Bin Liu, Frederik Geth, Nariman Mahdavi +1

Unbalance issues in low-voltage distribution networks (LVDN) can be worsened by increasing penetration of residential PV generation if unevenly distributed among three phases. To a…

math.OC2021★ 1 cited

Real-Value Power-Voltage Formulations of, and Bounds for, Three-Wire Unbalanced Optimal Power Flow

Frederik Geth, Hakan Ergun

Unbalanced optimal power flow refers to a class of optimization problems subject to the steady state physics of three-phase power grids with nonnegligible phase unbalance. Signific…

math.OC2021

Improving Optimal Power Flow Relaxations Using 3-Cycle Second-Order Cone Constraints

Frederik Geth, James Foster

This paper develops a novel second order cone relaxation of the semidefinite programming formulation of optimal power flow, that does not imply the `angle relaxation'. We build on…

cs.CR2021★ 1 cited

Realistic Differentially-Private Transmission Power Flow Data Release

David Smith, Frederik Geth, Elliott Vercoe +5

For the modeling, design and planning of future energy transmission networks, it is vital for stakeholders to access faithful and useful power flow data, while provably maintaining…

eess.SY2020

A Flexible Storage Model for Power Network Optimization

Frederik Geth, Carleton Coffrin, David M Fobes

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…

cs.CE2020★ 89 cited

PowerModelsDistribution.jl: An Open-Source Framework for Exploring Distribution Power Flow Formulations

David M Fobes, Sander Claeys, Frederik Geth +1

In this work we introduce PowerModelsDistribution, a free, open-source toolkit for distribution power network optimization, whose primary focus is establishing a baseline implement…