Abstract

This paper presents an adaptive random search approach to address a short term generation scheduling with network constraints, which determines the startup and shutdown schedules of thermal units over a given planning horizon. In this model, we consider the transmission network through capacity limits and line losses. The mathematical model is stated in the form of a Mixed Integer Non Linear Problem with binary variables. The proposed heuristic is a population-based method that generates a set of new potential solutions via a random search strategy. The random search is based on the Markov Chain Monte Carlo method. The main key of the proposed method is that the noise level of the random search is adaptively controlled in order to exploring and exploiting the entire search space. In order to improve the solutions, we consider coupling a local search into random search process. Several test systems are presented to evaluate the performance of the proposed heuristic. We use a commercial optimizer to compare the quality of the solutions provided by the proposed method. The solution of the proposed algorithm showed a significant reduction in computational effort with respect to the full-scale outer approximation commercial solver. Numerical results show the potential and robustness of our approach.

Highlights

  • A definition of Short Term Generation Scheduling (Unit commitment) used in Smart grid operations is a scheduling problem with two objectives: The power dispatch that requires distributing the system load to the generating units over a given time horizon and the start-up and shutdown schedules of the power output generators.The planning horizon in the short term usually lasts from 24 to 168 hours

  • We present an adaptive random search approach based on the Markov Chain Monte Carlo method to address a short term generation scheduling with network constraints

  • These results show that Adaptive Gibbs Sampling (AGS) solutions are very close to the GAMS solutions zÃ

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Summary

Introduction

A definition of Short Term Generation Scheduling (Unit commitment) used in Smart grid operations is a scheduling problem with two objectives: The power dispatch that requires distributing the system load to the generating units over a given time horizon and the start-up and shutdown schedules of the power output generators. The planning horizon in the short term usually lasts from 24 to 168 hours (see for instance [1]). The Short Term Generation Scheduling solves a very large-scale, time-varying, non-convex, mixed-integer optimization problem. For these reasons, this problem belongs to the set of NP-hard problems. The Short Term Generation Scheduling (STGS) with network constraints in an NP-hard Mixed Integer Non Linear Problem. We readily know that exacts methods are inefficient for PLOS ONE | DOI:10.1371/journal.pone.0172459 February 24, 2017

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