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Related papers: Computation of Convex Hull Prices in Electricity M…

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Convex Hull (CH) pricing, used in US electricity markets and raising interest in Europe, is a pricing rule designed to handle markets with non-convexities such as startup costs and minimum up and down times. In such markets, the market…

Optimization and Control · Mathematics 2025-04-03 Sofiane Tanji , Yassine Kamri , François Glineur , Mehdi Madani

This paper presents a new dynamic pricing model (a.k.a. real-time pricing) that reflects startup costs of generators. Dynamic pricing, which is a method to control demand by pricing electricity at hourly (or more often) intervals, has been…

Optimization and Control · Mathematics 2014-03-06 Naoki Ito , Akiko Takeda , Toru Namerikawa

We consider a general power market with price-sensitive consumer bids and non-convexities originating from supply (start-up and no-load costs, nonzero minimum output limits of generating units, etc.) and demand. The convex hull…

Optimization and Control · Mathematics 2020-06-04 Vadim Borokhov

We consider fixed load power market with non-convexities originating from start-up and no-load costs of generators. The convex hull (minimal uplift) pricing method results in power prices minimizing the total uplift payments to generators,…

Optimization and Control · Mathematics 2023-05-24 Vadim Borokhov

This paper introduces a computationally efficient comparative approach to classical pricing rules for day-ahead electricity markets, namely Convex Hull Pricing, IP Pricing and European-like market rules, in a Power Exchange setting with…

Optimization and Control · Mathematics 2018-04-03 Mehdi Madani , Carlos Ruiz , Sauleh Siddiqui , Mathieu Van Vyve

Electricity prices determined by economic dispatch that do not consider fixed costs may lead to significant uplift payments. However, when fixed costs are included, prices become non-monotonic with respect to demand, which can adversely…

Systems and Control · Electrical Eng. & Systems 2023-04-18 Mikhail A. Bragin , Farhan Hyder , Bing Yan , Peter B. Luh , Jinye Zhao , Feng Zhao , Dane A. Schiro , Tongxin Zheng

With the increased share of Distributed Generation (DG) and Demand Responsive (DR) loads in the power systems, new approaches based on the game theory framework have been proposed to tackle the problem of coordination of Price Responsive…

Systems and Control · Electrical Eng. & Systems 2023-02-02 Foad Najafi , Matthias Fripp

In certain electricity markets, because of non-convexities that arise from their operating characteristics, generators that follow the independent system operator's (ISO's) decisions may fail to recover their cost through sales of energy at…

Optimization and Control · Mathematics 2020-06-17 Bowen Hua , Ross Baldick

Column generation is used alongside Dantzig-Wolfe Decomposition, especially for linear programs having a decomposable pricing step requiring to solve numerous independent pricing subproblems. We propose a filtering method to detect which…

Discrete Mathematics · Computer Science 2025-09-05 Abdellah Bulaich Mehamdi , Mathieu Lacroix , Sébastien Martin

Electricity market operators worldwide use mixed-integer linear programming to solve the allocation problem in wholesale electricity markets. Prices are typically determined based on the duals of relaxed versions of this optimization…

Computer Science and Game Theory · Computer Science 2023-12-13 Mete Şeref Ahunbay , Martin Bichler , Teodora Dobos , Johannes Knörr

Reducing uplift payments has been a challenging problem for most wholesale markets in US. The main difficulty comes from the unit commitment discrete decision makings. Recently convex hull pricing has shown promises to reduce the uplift…

Systems and Control · Electrical Eng. & Systems 2019-06-20 Yanan Yu , Yongpei Guan , Yonghong Chen

The problem of obtaining market-clearing prices for markets with non-convexities has been widely studied in the literature. This is particularly the case in electricity markets, where worldwide deregulation leads to markets in which…

Optimization and Control · Mathematics 2017-05-05 Xiaolong Kuang , Alberto J. Lamadrid , Luis F. Zuluaga

To increase market transparency, independent system operators (ISOs) have been working on minimizing uplift payments based on convex hull pricing theorems. However, the large-scale complex systems for ISOs bring computational challenges to…

Systems and Control · Electrical Eng. & Systems 2020-06-17 Yanan Yu , Yongpei Guan , Yonghong Chen

In this paper, we bring consumer theory to bear in the analysis of Fisher markets whose buyers have arbitrary continuous, concave, homogeneous (CCH) utility functions representing locally non-satiated preferences. The main tools we use are…

Computer Science and Game Theory · Computer Science 2022-01-06 Denizalp Goktas , Enrique Areyan Viqueira , Amy Greenwald

The system operator's scheduling problem in electricity markets, called unit commitment, is a non-convex mixed-integer program. The optimal value function is non-convex, preventing the application of traditional marginal pricing theory to…

General Economics · Economics 2024-10-03 Conleigh Byers , Brent Eldridge

The start up costs in many kinds of generators lead to complex cost structures, which in turn yield severe market loopholes in the locational marginal price (LMP) scheme. Convex hull pricing (a.k.a. extended LMP) is proposed to improve the…

Optimization and Control · Mathematics 2020-02-19 Jian Sun , Chenye Wu

It is well-known that a market equilibrium with uniform prices often does not exist in non-convex day-ahead electricity auctions. We consider the case of the non-convex, uniform-price Pan-European day-ahead electricity market "PCR" (Price…

Optimization and Control · Mathematics 2015-02-02 Mehdi Madani , Mathieu Van Vyve

There is a growing interest in the integration of energy infrastructures to increase systems' flexibility and reduce operational costs. The most studied case is the synergy between electric and heating networks. Even though integrated heat…

General Economics · Economics 2020-11-23 Alvaro Gonzalez-Castellanos , David Pozo , Aldo Bischi

We consider the discretized version of a (continuous-time) two-factor model introduced by Benth and coauthors for the electricity markets. For this model, the underlying is the exponent of a sum of independent random variables. We provide…

Pricing of Securities · Quantitative Finance 2012-05-21 Stéphane Goutte , Nadia Oudjane , Francesco Russo

We propose a linear cutting-plane pricing algorithm tailored for large-scale electricity markets, addressing nonconvexities arising from the Alternating Current Optimal Power Flow equations. We benchmark our algorithm against a Direct…

Optimization and Control · Mathematics 2025-04-15 Matías Romero , Felipe Verástegui , Matías Villagra
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