Abstract
We model energy multi-markets with load serving entities (LSEs) as participants, as non-linear discrete-time dynamical systems and use Nash bidding strategies for the LSEs. The optimal bidding strategies are developed mathematically using dynamic Nash game theory. The equations for complex non-linear energy multi-markets are linearized. The actual dynamic excursions from the desired trajectory around which we linearize are small so that the linearization is valid. The developed algorithm for bidding strategies is applied to an IEEE 14-bus power system for two cases: (1) No transmission capacity constraints, (2) Transmission capacity limit constraints on two groups of transmission lines. The LSEs' expected profits are higher for our method than those for other methods in the literature.