The economic dispatch problem of a virtual power plant (VPP) is becoming non-convex\nfor distributed generators� characteristics of valve-point loading effects, prohibited operating zones,\nand multiple fuel options. In this paper, the economic dispatch model of VPP is established and then\nsolved by a distributed randomized gradient-free algorithm. To deal with the non-smooth objective\nfunction, its Gauss approximation is used to construct distributed randomized gradient-free oracles\nin optimization iterations. A projection operator is also introduced to solve the discontinuous variable\nspace problem. An example simulation is implemented on a modified IEEE-34 bus test system, and\nthe results demonstrate the effectiveness and applicability of the proposed algorithm
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