The problem of multi-area interchange scheduling under system uncertainty is considered. A new scheduling technique is proposed for a multi-proxy bus system based on stochastic optimization that captures uncertainty in renewable generation and stochastic load. In particular, the proposed algorithm iteratively optimizes the interface flows using a multidimensional demand and supply functions. Optimality and convergence are guaranteed for both synchronous and asynchronous scheduling under nominal assumptions.
A shortcoming of existing techniques based on proxy bus approximations is the difficulty of generalizing it for multi-area interconnected systems where multiple scheduling interfaces have to be optimized simultaneously. The challenge arises from the fact that the interfaces cannot be succinctly characterized by a pair of expected demand and supply functions --- an essential property underlying the approach in @cite_2 for the single interface scheduling. When multiple interfaces are involved, the simple idea of equating expected demand and supply functions is not applicable and there is no simple notion that the intersection of demand and supply curves gives the social welfare optimizing interchange.
@cite_2
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The problem of inter-regional interchange scheduling in the presence of stochastic generation and load is considered. An interchange scheduling technique based on a two-stage stochastic minimization of expected operating cost is proposed. Because directly solving the stochastic optimization is intractable, an equivalent problem that maximizes the expected social welfare is formulated. The proposed technique leverages the operator's capability of forecasting locational marginal prices and obtains the optimal interchange schedule without iterations among operators. Several extensions of the proposed technique are also discussed.