A new algorithm to compute conjectured supply function equilibrium in electricity markets

Díaz, Cristian A.; Villar, José; Campos, Fco. Alberto; Rodríguez, Mauricio

doi:10.1016/j.epsr.2010.10.002

Cited by 19 publications

(45 citation statements)

References 17 publications

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“…This paper proposes a new fundamental approach to calculate the generators' strategies when DC network capacity constraints are considered. The proposed model generalizes the previous authors' approach developed in [19] for the single-bus case. Both models are conjectured supply function approaches (CSFE), but do not assume supply function linearity along the overall prices range (as it is the case of [6], [11], [21][22]).…”

Section: Introductionmentioning

confidence: 81%

“…As remarked in [19], (7) has (2⋅E+1) variables (P i , α i and λ), and E+1 equations, and thus new equations or constraints are needed to obtain a determined system.…”

Section: Introductionmentioning

confidence: 99%

“…Using these economic signals, the system is reduced into single price areas by grouping nodes with similar characteristic from the congestions' point of view (see [16] and [25][26][27][28]). Since each area can be considered as a single-bus system, in the second step the generators' strategies are updated by calculating the conjectured supply function equilibrium for each area (as in [19]). Convergence is reached when the network status and generators' strategies do not change over two consecutive iterations.…”

Section: Introductionmentioning

confidence: 99%

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Fundamental conjectured supply function equilibrium: Application to the iberian system

Díaz

Campos

Villar

et al. 2011

2011 8th International Conference on the European Energy Market (EEM)

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This paper presents a new two-step algorithm to compute a conjectured supply function electricity market equilibrium with DC transmission network constraints. This approach generalizes a previous authors' model developed for the single-bus case. Unlike other approaches, its main contribution is that the parameters of the first order approximation of the conjectured supply functions (intercept and slope) are endogenously determined, coherently with the network lines status. Nodal prices are used to split the market into single prices areas. Each area is treated as a single-bus market from the transmission constraints point of view, and the authors' singlebus algorithm is applied to compute the generators supply functions for each area. These new generators strategies are then cleared to determine new nodal prices and areas for the next iteration. Convergence is achieved when the network lines status and strategies of the generators do not change significantly in two consecutive iterations.The algorithm has been tested with some illustrative case examples, and with a simplified version of the MIBEL market (Spain-Portugal).

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Section: Introductionmentioning

confidence: 81%

“…As remarked in [19], (7) has (2⋅E+1) variables (P i , α i and λ), and E+1 equations, and thus new equations or constraints are needed to obtain a determined system.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fundamental conjectured supply function equilibrium: Application to the iberian system

Díaz

Campos

Villar

et al. 2011

2011 8th International Conference on the European Energy Market (EEM)

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“…In the same way the reserve pricing mechanism is being reviewed to include reserve conjectures in order to obtain more realistic reserves prices. In this sense an application of [30] could also be very appropriate for endogenous reserves conjectures computation. A better seasonality water management could be implemented if yearly demand patterns with a reduced number of consecutive blocks are used instead of daily patterns.…”

Section: ) Coupling Reserve and Power Commoditiesmentioning

confidence: 98%

“…where n e is the offer at null price and p the bidding price, and α e is the slope of the supply function assumed to be known (see [30] for a possible extension to endogenous slopes). The residual demand curve is therefore (see [31]):…”

Section: Resolution Approachmentioning

confidence: 99%

Short term constraints for a long term joint energy and reserve equilibrium

Villar

Campos

Díaz

2011

2011 8th International Conference on the European Energy Market (EEM)

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The increasing penetration of interruptible sources of energy is making security of supply a key aspect of present and future networks management, and reserves markets are gaining significant relevance. Demand representation used in traditional long term market models normally consists in a set of non chronological demand levels corresponding to hours with similar demand values. However, reserve issues are closely related with short term constraints (such as ramps), and this lack of chronological coupling does not allow for an appropriate representation of these technical constraints.This paper presents a joint energy and reserve conjectural equilibrium model that provides signal prices for both commodities and computes productions accordingly by satisfying system demand and reserve requirements. Generation is represented at a technological level, and water contributes to energy and reserve requirements with daily constraints. To reduce the feasible region, clustering is used to simplify hourly demand series into only a few daily patterns. In addition, keeping the link between hours and demand levels allows the model to combine short term technical constraints with traditional long term strategic planning constraints.

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5.12 Energy Management in Smart Cities

Fokaides

Apanavičienė

Klumbytė

2018

Comprehensive Energy Systems

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The Degree Certificates are giving reference to the joint programme. The doctoral candidates are jointly supervised, and must pass a joint examination procedure set up by the three institutions issuing the degrees. This Thesis is a part of the examination for the doctoral degree. The invested degrees are official in Spain, the Netherlands and Sweden, respectively. SETS Joint Doctorate was awarded the Erasmus Mundus excellence label by the European Commission in year 2010, and the European Commission's Education, Audiovisual and Culture Executive Agency, EACEA, has supported the funding of this programme. The EACEA is not to be held responsible for contents of the Thesis. vi Energy Management of Smart Cities Christian F. Calvillo Muñoz Energy Management of Smart Cities 1 Christian F. Calvillo Muñoz Chapter 7 Complete smart city energy model: aggregated DER and transport systems with active market participation Chapter 8 Conclusions, contributions and future work Chapter 1 Energy Management of Smart Cities 9 Christian F. Calvillo Muñoz 2 2 LITERATURE REVIEW This chapter presents the identification of energy systems task, corresponding to the smart city energy model methodology described in section 1.3. This includes the evaluation of energy systems available in a smart city, assessing their importance and possible synergies, in addition to the review of the existing models and tools, to select which ones could be used. The first part of the chapter introduces an overview of energy related work on planning and operation models within the smart city by classifying their scope into five main intervention areas. These areas are generation, storage, infrastructure, facilities, and transport. Then, more complex urban energy models integrating more than one intervention area are reviewed, outlining their advantages and limitations, existing trends and challenges, as well as some relevant smart cities applications. With this revision, important elements and possible synergies in the smart city are identified, and a framework for developing a comprehensive smart city energy model is proposed, along with some additional recommendations. Therefore, the main contributions of this chapter are, first, a comprehensive literature review of smart city energy systems and related modelling tools, classifying them in five intervention areas, and second, a framework with guidelines and recommendations for developing a comprehensive smart city energy model.

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A new algorithm to compute conjectured supply function equilibrium in electricity markets

Cited by 19 publications

References 17 publications

Fundamental conjectured supply function equilibrium: Application to the iberian system

Fundamental conjectured supply function equilibrium: Application to the iberian system

Short term constraints for a long term joint energy and reserve equilibrium

5.12 Energy Management in Smart Cities

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