A Dantzig-Wolfe Decomposition Algorithm for Linear Economic MPC of a Power Plant Portfolio

Publication: Research - peer-reviewArticle in proceedings – Annual report year: 2012

Standard

A Dantzig-Wolfe Decomposition Algorithm for Linear Economic MPC of a Power Plant Portfolio. / Standardi, Laura; Edlund, Kristian; Poulsen, Niels Kjølstad; Jørgensen, John Bagterp.

The 10th European Workshop on Advanced Control and Diagnosis (ACD 2012). Technical University of Denmark, 2012.

Publication: Research - peer-reviewArticle in proceedings – Annual report year: 2012

Harvard

Standardi, L, Edlund, K, Poulsen, NK & Jørgensen, JB 2012, 'A Dantzig-Wolfe Decomposition Algorithm for Linear Economic MPC of a Power Plant Portfolio'. in The 10th European Workshop on Advanced Control and Diagnosis (ACD 2012). Technical University of Denmark.

APA

Standardi, L., Edlund, K., Poulsen, N. K., & Jørgensen, J. B. (2012). A Dantzig-Wolfe Decomposition Algorithm for Linear Economic MPC of a Power Plant Portfolio. In The 10th European Workshop on Advanced Control and Diagnosis (ACD 2012). Technical University of Denmark.

CBE

Standardi L, Edlund K, Poulsen NK, Jørgensen JB. 2012. A Dantzig-Wolfe Decomposition Algorithm for Linear Economic MPC of a Power Plant Portfolio. In The 10th European Workshop on Advanced Control and Diagnosis (ACD 2012). Technical University of Denmark.

MLA

Standardi, Laura et al. "A Dantzig-Wolfe Decomposition Algorithm for Linear Economic MPC of a Power Plant Portfolio". The 10th European Workshop on Advanced Control and Diagnosis (ACD 2012). Technical University of Denmark. 2012.

Vancouver

Standardi L, Edlund K, Poulsen NK, Jørgensen JB. A Dantzig-Wolfe Decomposition Algorithm for Linear Economic MPC of a Power Plant Portfolio. In The 10th European Workshop on Advanced Control and Diagnosis (ACD 2012). Technical University of Denmark. 2012.

Author

Standardi, Laura; Edlund, Kristian; Poulsen, Niels Kjølstad; Jørgensen, John Bagterp / A Dantzig-Wolfe Decomposition Algorithm for Linear Economic MPC of a Power Plant Portfolio.

The 10th European Workshop on Advanced Control and Diagnosis (ACD 2012). Technical University of Denmark, 2012.

Publication: Research - peer-reviewArticle in proceedings – Annual report year: 2012

Bibtex

@inbook{9a7facad6516445f92d06eb3da6d5fee,
title = "A Dantzig-Wolfe Decomposition Algorithm for Linear Economic MPC of a Power Plant Portfolio",
keywords = "Economic Model Predictive Control, Linear programming, Distributed Optimization, Power systems",
publisher = "Technical University of Denmark",
author = "Laura Standardi and Kristian Edlund and Poulsen, {Niels Kjølstad} and Jørgensen, {John Bagterp}",
year = "2012",
booktitle = "The 10th European Workshop on Advanced Control and Diagnosis (ACD 2012)",

}

RIS

TY - GEN

T1 - A Dantzig-Wolfe Decomposition Algorithm for Linear Economic MPC of a Power Plant Portfolio

A1 - Standardi,Laura

A1 - Edlund,Kristian

A1 - Poulsen,Niels Kjølstad

A1 - Jørgensen,John Bagterp

AU - Standardi,Laura

AU - Edlund,Kristian

AU - Poulsen,Niels Kjølstad

AU - Jørgensen,John Bagterp

PB - Technical University of Denmark

PY - 2012

Y1 - 2012

N2 - Future power systems will consist of a large number of decentralized power producers and a large number of controllable power consumers in addition to stochastic power producers such as wind turbines and solar power plants. Control of such large scale systems requires new control algorithms. In this paper, we formulate the control of such a system as an Economic Model Predictive Control (MPC) problem. When the power producers and controllable power consumers have linear dynamics, the Economic MPC may be expressed as a linear program and we apply Dantzig-Wolfe decomposition for solution of this linear program. The Dantzig-Wolfe decomposition algorithm for Economic MPC is tested on a simulated case study with a large number of power producers. The Dantzig-Wolfe algorithm is compared to a standard linear programming (LP) solver for the Economic MPC. Simulation results reveal that the Dantzig-Wolfe algorithm is faster than the standard LP solver and enables solution of larger problems.

AB - Future power systems will consist of a large number of decentralized power producers and a large number of controllable power consumers in addition to stochastic power producers such as wind turbines and solar power plants. Control of such large scale systems requires new control algorithms. In this paper, we formulate the control of such a system as an Economic Model Predictive Control (MPC) problem. When the power producers and controllable power consumers have linear dynamics, the Economic MPC may be expressed as a linear program and we apply Dantzig-Wolfe decomposition for solution of this linear program. The Dantzig-Wolfe decomposition algorithm for Economic MPC is tested on a simulated case study with a large number of power producers. The Dantzig-Wolfe algorithm is compared to a standard linear programming (LP) solver for the Economic MPC. Simulation results reveal that the Dantzig-Wolfe algorithm is faster than the standard LP solver and enables solution of larger problems.

KW - Economic Model Predictive Control

KW - Linear programming

KW - Distributed Optimization

KW - Power systems

BT - The 10th European Workshop on Advanced Control and Diagnosis (ACD 2012)

T2 - The 10th European Workshop on Advanced Control and Diagnosis (ACD 2012)

ER -