Conference paper
Economic MPC based on LPV model for thermostatically controlled loads
Technical University of Liberec1
Novosibirsk State Technical University2
Department of Applied Mathematics and Computer Science, Technical University of Denmark3
Dynamical Systems, Department of Applied Mathematics and Computer Science, Technical University of Denmark4
Scientific Computing, Department of Applied Mathematics and Computer Science, Technical University of Denmark5
CITIES - Centre for IT-Intelligent Energy Systems, Centers, Technical University of Denmark6
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.
| Language: | English |
|---|---|
| Publisher: | IEEE |
| Year: | 2017 |
| Pages: | 1-5 |
| Proceedings: | 2017 International Siberian Conference on Control and Communications |
| ISBN: | 1509010815 , 1509010823 , 9781509010813 , 9781509010820 , 1509010807 and 9781509010806 |
| ISSN: | 23806516 |
| Types: | Conference paper |
| DOI: | 10.1109/SIBCON.2017.7998560 |
| ORCIDs: | Madsen, Henrik and Jørgensen, John Bagterp |
Economic model predictive control Linear timevarying model SDG 7 - Affordable and Clean Energy Smart energy grid Thermostatically controlled loads
Atmospheric modeling Biological system modeling Economics Heating systems LPV model Mathematical model Predictive models TCL Tin control system economic MPC formulation economic model predictive control energy balance linear models linear parameter varying systems linear parameter-varying model linear program linear time-varying model power consumption power system control predictive control regulation service provision renewable electricity production renewable energy renewable energy sources renewable materials smart energy grid swimming pool heating system thermal behavior thermostatically controlled loads weather forecast
