### Abstract

This chapter puts forward a dynamic game theoretic model of oligopolistic competition in spatially distributed electric power markets having a 24 - hour planning horizon. The purpose of this model is to allow quick testing of the effects of changes to the underlying electric power network. Therefore, the game is formulated as a nonlinear complementarity problem that can be solved effi ciently using sequential linearization and a Lemke's type algorithm for each resulting linear complementarity problem. The underlying electric power network is represented by the widely accepted linearized DC approximation, allowing the substitution of power transmission distribution factors for Kirchhoff's energy balance and voltage laws. The model is tested on a 15 - node representation of the northwest European electricity market formed by Belgium, France, Germany and the Netherlands. The effects of various infrastructure disruptions, in the form of network capacity changes, are simulated.

Original language | English (US) |
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Title of host publication | Economic Market Design and Planning for Electric Power Systems |

Publisher | John Wiley & Sons, Inc. |

Pages | 87-111 |

Number of pages | 25 |

ISBN (Print) | 9780470472088 |

DOIs | |

State | Published - Dec 7 2009 |

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### All Science Journal Classification (ASJC) codes

- Energy(all)

### Cite this

*Economic Market Design and Planning for Electric Power Systems*(pp. 87-111). John Wiley & Sons, Inc.. https://doi.org/10.1002/9780470529164.ch5

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*Economic Market Design and Planning for Electric Power Systems.*John Wiley & Sons, Inc., pp. 87-111. https://doi.org/10.1002/9780470529164.ch5

**Dynamic Oligopolistic Competition in an Electric Power Network and Impacts of Infrastructure Disruptions.** / Mookherjee, Reetabrata; Hobbs, Benjamin F.; Friesz, Terry Lee; Rigdon, Matthew A.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - Dynamic Oligopolistic Competition in an Electric Power Network and Impacts of Infrastructure Disruptions

AU - Mookherjee, Reetabrata

AU - Hobbs, Benjamin F.

AU - Friesz, Terry Lee

AU - Rigdon, Matthew A.

PY - 2009/12/7

Y1 - 2009/12/7

N2 - This chapter puts forward a dynamic game theoretic model of oligopolistic competition in spatially distributed electric power markets having a 24 - hour planning horizon. The purpose of this model is to allow quick testing of the effects of changes to the underlying electric power network. Therefore, the game is formulated as a nonlinear complementarity problem that can be solved effi ciently using sequential linearization and a Lemke's type algorithm for each resulting linear complementarity problem. The underlying electric power network is represented by the widely accepted linearized DC approximation, allowing the substitution of power transmission distribution factors for Kirchhoff's energy balance and voltage laws. The model is tested on a 15 - node representation of the northwest European electricity market formed by Belgium, France, Germany and the Netherlands. The effects of various infrastructure disruptions, in the form of network capacity changes, are simulated.

AB - This chapter puts forward a dynamic game theoretic model of oligopolistic competition in spatially distributed electric power markets having a 24 - hour planning horizon. The purpose of this model is to allow quick testing of the effects of changes to the underlying electric power network. Therefore, the game is formulated as a nonlinear complementarity problem that can be solved effi ciently using sequential linearization and a Lemke's type algorithm for each resulting linear complementarity problem. The underlying electric power network is represented by the widely accepted linearized DC approximation, allowing the substitution of power transmission distribution factors for Kirchhoff's energy balance and voltage laws. The model is tested on a 15 - node representation of the northwest European electricity market formed by Belgium, France, Germany and the Netherlands. The effects of various infrastructure disruptions, in the form of network capacity changes, are simulated.

UR - http://www.scopus.com/inward/record.url?scp=84889358273&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84889358273&partnerID=8YFLogxK

U2 - 10.1002/9780470529164.ch5

DO - 10.1002/9780470529164.ch5

M3 - Chapter

SN - 9780470472088

SP - 87

EP - 111

BT - Economic Market Design and Planning for Electric Power Systems

PB - John Wiley & Sons, Inc.

ER -