American Institute of Mathematical Sciences

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October  2008, 4(4): 673-684. doi: 10.3934/jimo.2008.4.673

Dynamic power price problem: An inverse variational inequality approach

Junfeng Yang 1,

1. 

Department of Mathematics, Nanjing University, Nanjing, 210093, China

Received  March 2007 Revised  April 2008 Published  November 2008

This paper considers an optimal control perspective on dynamic power price problem where the load on the power-grid is controlled via price. The optimal regulatory price is characterized by inverse variational inequality in which the function value and the control variable are in the opposite positions of the classical variational inequality. Discrete and continuum models with load constraints are developed and existence theorems are established under quite reasonable assumptions. Preliminary numerical results also show the feasibility of the proposed models.
Keywords: load constraint, dynamic power price, power-grid., Inverse variational inequality.
Mathematics Subject Classification: 49J20, 49J40, 90B5.
Citation: Junfeng Yang. Dynamic power price problem: An inverse variational inequality approach. Journal of Industrial & Management Optimization, 2008, 4 (4) : 673-684. doi: 10.3934/jimo.2008.4.673
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