Constrained Economic Dispatch of Multi-Area Systems Using the Dantzig-Wolfe Decomposition Principle

The economic dispatch problem with constraints on line flows and spinning reserve is formulated as a linear optimization program. Such a linear program is then solved using the Dantzig-Wolfe decomposition principle. The sub-programs of the decomposition may correspond to physical areas of the power network, and are individually solved employing the revised simplex method with upper bounds. A fast decoupled load flow algorithm is used to calculate penalty and sensitivity factors. Several illustrative examples are included.