Decentralized Multi-Area Economic Dispatch via Dynamic Multiplier-Based Lagrangian Relaxation


This paper introduces a dynamic multiplier-based mostly Lagrangian relaxation approach for the solution to multi-area economic dispatch (MAED) during a totally decentralized manner. Dynamic multipliers ask the multipliers associated with power balance equations at tie-line buses in every space. Dynamic multipliers will be approximated as linear functions of tie-line power exports via sensitivity analysis and can serve as the equivalent offer/demand functions to neighboring areas. In distinction to the conventional static point-wise multiplier, that is unable to mirror the marginal price change that results from variations in the ability exchange level, the proposed dynamic multiplier provides each area the planning-ahead capability to foresee the vary of the marginal price for power export over a range of tie-line exchange variations. In flip, this permits for a significantly faster convergence to the world optimal solution. The algorithm is also shown to be early termination friendly, which is terribly fascinating in observe for ultra-giant systems such as the State Grid of China. Numerical examples in a very half-dozen-bus system, a 3-area 354-bus IEEE system, and large take a look at systems illustrate the advantages of the proposed algorithm.

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