This paper addresses the bidding problem faced by a virtual power plant (VPP) in a joint market of energy and spinning reserve service. The proposed bidding strategy is a non-equilibrium model based on the deterministic price-based unit commitment (PBUC) which takes the supply-demand balancing constraint and security constraints of VPP itself into account. The presented model creates a single operating profile from a composite of the parameters characterizing each distributed energy resources (DER), which is a component of VPP, and incorporates network constraints into its description of the capabilities of the portfolio. The presented model is a nonlinear mixed-integer programming with inter-temporal constraints and solved by genetic algorithm (GA).Index Terms-Bidding strategy, energy market, spinning reserve market, virtual power plant. NOMENCLATURE Sets and Indices:Index for buses. Index for hours.Set of branches of VPP. Set of DGs.Set of permitted hours in which interruptible load may be curtailed if necessary.Set of interruptible loads.Set of electrochemical storages.Set of nodes of VPP. Variables:Bid of VPP to energy market (positive and negative values indicate purchasing from and selling to energy market, respectively).Binary variable denoting commitment status of a DG.

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This paper is to evaluate the presented model in part I for bidding strategy of virtual power plant (VPP) with centralized control in a joint market of energy and spinning reserve service. Two test VPPs are introduced and different scenarios are considered for markets prices. At first, the participation of VPP in only energy market is studied. Then, the spinning reserve market is taken into consideration and the bids of VPP in a joint market of energy and spinning reserve service is studied under different scenarios of markets prices and the results are analyzed. In all cases, the results show the effectiveness and the quality of the procedure and validate the proposed model.Index Terms-Bidding strategy, energy market, spinning reserve market, virtual power plant.

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