# Convex power flow models for scalable electricity market modelling

@inproceedings{Geth2017ConvexPF, title={Convex power flow models for scalable electricity market modelling}, author={Frederik Geth and Reinhilde D’hulst and Dirk Van Hertem}, year={2017} }

Optimal power flow problems and market clearing approaches are converging: cost-optimal scheduling of loads and generators should be performed while taking the grid’s physics and operational envelopes into account. Within the SmartNet project, the idea is to consider the grid’s physical behaviour in market clearing approaches. Taking the physics of power flow into account, while managing solution times, demands pragmatic approaches. Convex relaxation and linear approximation are two such…

## 10 Citations

Optimal Flexibility Dispatch Problem Using Second-Order Cone Relaxation of AC Power Flows

- Computer ScienceIEEE Transactions on Power Systems
- 2020

A novel optimization method to solve the optimal flexibility dispatch problem for a system operator such that it deploys the demand response resource effectively and gives the locational pricing of flexibility services is proposed.

A Linear Model for Distributed Flexibility Markets and DLMPs: A Comparison with the SOCP Formulation

- Computer Science, EconomicsCIRED 2021 - The 26th International Conference and Exhibition on Electricity Distribution
- 2021

This paper examines the performance trade-offs between an introduced linear flexibility market model for congestion management and a benchmark second-order cone programming (SOCP) formulation. The…

Optimal Power Flow for AC–DC Grids: Formulation, Convex Relaxation, Linear Approximation, and Implementation

- Computer ScienceIEEE Transactions on Power Systems
- 2019

An optimal power flow model for ac and dc grids is developed and a convex relaxation formulation of a parameterized ac–dc converter model is developed in an open-source tool.

A Survey of Relaxations and Approximations of the Power Flow Equations

- Computer ScienceFoundations and Trends® in Electric Energy Systems
- 2019

This monograph provides the first comprehensive survey of representations in the context of optimization of the power flow equations, categorized as either relaxations or approximations.

Modeling of Complex Systems Including Transmission, Distribution, Aggregation, Ancillary Services Markets

- Computer ScienceTSO-DSO Interactions and Ancillary Services in Electricity Transmission and Distribution Networks
- 2019

This chapter provides mathematical models of different market framework components: aggregation of flexibility offers from DERs, ancillary services (AS) market architecture, market arbitrage, transmission, and distribution network models.

TSO-DSO coordination and market architectures for an integrated ancillary services acquisition: the view of the SmartNet project

- Computer Science
- 2018

The present paper summarizes the achievements of SmartNet during the first two project years and focuses on the set-up of the simulation platform and on the modelling of the different components.

Design of Local Services Markets for Pricing DSO-TSO Procurement Coordination

- Computer Science2018 IEEE Power & Energy Society General Meeting (PESGM)
- 2018

This paper assesses the conflict cost of two possible market schemes: in the first one only TSO can access DER flexibility, whereas in the second case DSOs lead the TSOs in the procurement of Der flexibility.

ACOPF for three‐phase four‐conductor distribution systems: semidefinite programming based relaxation with variable reduction and feasible solution recovery

- Computer ScienceIET Generation, Transmission & Distribution
- 2018

Numerical studies on a modified IEEE 123-bus system show the effectiveness of the proposed SDP relaxation model with variable reductions and the feasible solution recovery process for three-phase four-conductor configured distribution systems.

Transmission and distribution coordination in power systems with high shares of distributed energy resources providing balancing and congestion management services

- Computer ScienceWIREs Energy and Environment
- 2019

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