Conjectured supply function (CSF) models of competition among power generators on a linearized DC network are presented.  As a detailed survey of the power market modeling literature shows, CSF models differ from previous approaches in that they represent each GenCo's conjectures regarding how rival firms will adjust sales in response to price changes.  The CSF approach is a more realistic and flexible framework for modeling imperfect competition than other models for three reasons.  First, the models include as a special case the Cournot conjecture that rivals will not change production if prices change; thus, the CSF framework is more general.  Second, Cournot models cannot be used when price elasticity of demand is zero, but the proposed models can.   Third, unlike supply function equilibrium models, CSF equilibria can be calculated for large transmission networks.  Existence and uniqueness properties for prices and profits are reported.   An application shows how transmission limits and strategic interactions affect equilibrium prices under forced divestment of generation.

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