1984
DOI: 10.1109/tpas.1984.318532
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Transmission Constrained Production Cost Analysis in Power System Planning

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Cited by 28 publications
(4 citation statements)
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“…In previous reports, mathematical methods such as linear programming [21], the Dantzig-Wolfe decomposition principle [22], and the decomposition approach using expert systems [23] have been utilized to solve the MAED problem. The advantages of gradient-based methods include achieving the best global solution and less iteration [21]- [23]; however, these methods suffer from undesirable factors such as nonlinearity and discontinuity arising from the valve point effect and prohibited operating zones, respectively. In addition, as the dimensions of the problem increase, the complexity of the mathematical method increases [15].…”
Section: Introductionmentioning
confidence: 99%
“…In previous reports, mathematical methods such as linear programming [21], the Dantzig-Wolfe decomposition principle [22], and the decomposition approach using expert systems [23] have been utilized to solve the MAED problem. The advantages of gradient-based methods include achieving the best global solution and less iteration [21]- [23]; however, these methods suffer from undesirable factors such as nonlinearity and discontinuity arising from the valve point effect and prohibited operating zones, respectively. In addition, as the dimensions of the problem increase, the complexity of the mathematical method increases [15].…”
Section: Introductionmentioning
confidence: 99%
“…An application of linear programming to transmission constrained production cost analysis was proposed in Ref. [3]. Helmick et al [4] solved multi-area economic dispatch with area control error.…”
Section: Introductionmentioning
confidence: 99%
“…Romano et al [4] formulated the economic dispatch problem with line flow constraints and spinning reserves using the linear optimization program and solved using the Dantzig-Wolfe decomposition principle. Desell et al [5] described an application of linear programming to transmission-constrained generation production cost analysis in power system planning. Wang and Shahidehpour [6] proposed a decomposition approach to non-linear multi-area generation scheduling with tieline constraints using expert systems.…”
Section: Introductionmentioning
confidence: 99%