Economic MPC based on LPV model for thermostatically controlled loads

Nikita Zemtsov, Jaroslav Hlava, Galina Frantsuzova, Henrik Madsen, Rune Grønborg Junker, John Bagterp Jørgensen

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

Rapid increase of the renewable energy share in electricity production requires optimization and flexibility of the power consumption side. Thermostatically controlled loads (TCLs) have a large potential for regulation service provision. Economic model predictive control (MPC) is an advanced control method which can be used to syncronize the power consumption with undispatchable renewable electricity production. Thermal behavior of TCLs can be described by linear models based on energy balance of the system. In some cases, parameters of the model may be time-varying. In this work, we present a modified economic MPC based on linear parameter-varying model. In particular, we provide an exact transformation from a standard economic MPC formulation to a linear program. We assume that the variables influencing the model parameters are known (predictable) for the prediction horizon of the controller. As a case study, we present control system that minimizes operational cost of swimming pool heating system, where parameters of the model depend on the weather forecast. Simulation results demonstrate that the proposed method is able to deal with this kind of systems.
Original languageEnglish
Title of host publicationProceedings of 2017 International Siberian Conference on Control and Communications (SIBCON)
Number of pages5
PublisherIEEE
Publication date2017
ISBN (Print)9781509010813
DOIs
Publication statusPublished - 2017
Event2017 International Siberian Conference on Control and Communications - Kazakh State Agrotechnical University, Astana, Kazakhstan
Duration: 29 Jun 201730 Jun 2017

Conference

Conference2017 International Siberian Conference on Control and Communications
LocationKazakh State Agrotechnical University
CountryKazakhstan
CityAstana
Period29/06/201730/06/2017

Keywords

  • Economic model predictive control
  • Linear timevarying model
  • Smart energy grid
  • Thermostatically controlled loads

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