Orelia a probabilistic model for the expansion planning of the Ehv electric power system

  • A. Hertz
Conference paper
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 84)


OR ELIA is a tool for the long-term scheduling of the electric energy power system.

It seeks the localization of new means of generation and network reinforcements which, when carried out, will result in the lowest investment and operating cost. The random factors liable to affect the system, are taken into account. In order to solve the stochastic optimization problem, two methods are used concurrently:
  • the "stochastic gradient" method which provides results expressed in terms of continuous variables (the tuning of this method — a little delicate in practice — has been partially automatized),

  • an heuristic method whose results are integers of lines, or plants, to be constructed.

In addition, for both methods, a technique for reducing the variance improves the relevancy of the results.


Electric Power System Stochastic Gradient Expansion Planning Economic Function Generation Facility 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. [1]
    PERSOZ H., Relations entre choix des sites de production et volume du réseau de transport". Revue Générale de l'Electricité, Tome 88, no3 (mars 1979), pp. 210–214.Google Scholar
  2. [2]
    DODU J.C. et MARECHAL P., "Un modèle pour la détermination de la localisation optimale des moyens de production: le modèle TASSILI". EDF Bulletin de la Direction des Etudes et Recherches, Série C, no2 (1980).Google Scholar
  3. [3]
    DODU J.C. and MERLIN A. "A dynamic model for long term expansion planning studies of power transmission systems: the Ortie model". Proc. PSCC 6 (1978).Google Scholar
  4. [4]
    POLYAK B.T. "Pseudogradient adaptation and training algorithme". Automatika i Telemekhanica, no3 (1973).Google Scholar
  5. [5]
    POLYAK B.T. and TSYPKIN Y.Z. "Convergence and convergence rate of iterative stochastic algorithms". Automatika i Telemekhanica, no12 (1976).Google Scholar
  6. [6]
    DODU J.C. — HERTZ A., "Un nouveau modèle probabiliste pour la planification à long terme des réseaux électriques THT utilisant une méthode du gradient stochastique" P SCC 81.Google Scholar
  7. [7]
    DODU J.C., GOURSAT M., HERTZ A., QUADRAT J.P., VIOT M., "Méthodes de gradient stochastique pour l'optimisation des investissements dans un réseau électrique" EDF. Bulletin de la Direction des Etudes et Recherches série C Mathématiques, informatique no2 (1981).Google Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • A. Hertz
    • 1
  1. 1.EDF-DERClamartFrance

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