A stochastic market-clearing model using semidefinite relaxation

Alvarez, Erik F.; Lopez, Juan Camilo; Vergara Barrios, P.P.; Chavez, J. J.; Rider, Marcos J.

A stochastic market-clearing model using semidefinite relaxation

Conference paper (2019)

Authors

Erik F. Alvarez University of Campinas

Juan Camilo Lopez University of Campinas

P.P. Vergara Barrios Eindhoven University of Technology

J. J. Chavez University of Campinas

Marcos J. Rider University of Campinas

Affiliation

External organisation

AC optimal power flow Semidefinite relaxation Stochastic market-clearing

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Published Date

2019

Language

English

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Abstract

This paper proposes a two-stage stochastic market clearing (SMC) model based on a semidefinite programming (SDP) relaxation. The SMC model aims at determining the day-ahead schedule (DA) and the real-time (RT) balance settlement that minimize the total expected production cost. The network capacity constraints are considered in the proposed model through an AC power flow formulation, while the uncertainty in the renewable-based generation is taking into account using a set of stochastic scenarios. In order to solve the proposed non-linear programming model, a SDP relaxation is used. An illustrative example (3-bus test system) and the IEEE Reliability 24-bus test system are used to show the effectiveness and accuracy of the proposed model. Results shown that the proposed SDP relaxation introduce a negligible error, when compared with the solution after solving the original non-linear model.