Volume 3, Number 3, September 2007, pp. 425-438
Geoffrey Pritchard
Key words:
supply function, electric power, financial transmission rights, dynamic programming, stochastic programming
Mathematices Subject Classification: 91B26; 90C15
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Copyright© 2007 Yokohama Publishers
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Abstract:
We consider the problem of formulating an optimal offer curve (supply function) for an electric power generator with market power, in the presence of a stochastic model for competitors' behaviour, demand, and transmission network effects. We suggest a practical method, based on dynamic programming, for solving the resulting stochastic optimization problem. This method could potentially execute much more quickly than previous approaches based on mixed-integer programming. We present numerical results, both for a toy (three-node) model, and a larger model representing the New Zealand electricity market.
Optimal offering in electric power networks