2020
DOI: 10.3390/en13174281
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Solution to the Economic Emission Dispatch Problem Using Numerical Polynomial Homotopy Continuation

Abstract: The economic emission dispatch (EED) is a highly constrained nonlinear multiobjective optimization problem with a convex (or nonconvex) solution space. These characteristics and constraints make the EED a difficult problem to solve. Several approaches for a solution have been proposed, such as deterministic techniques, stochastic techniques, or a combination of both. This work presents the use of an algebraic (deterministic) technique, the numerical polynomial homotopy continuation (NPHC) method, to solve the … Show more

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Cited by 8 publications
(4 citation statements)
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“…No matter the static economic dispatching or dynamic economic dispatching, there are many different limiting factors that need to be controlled reasonably in the generating process of the generator set, which is also a very complicated task. These factors include: the power demand changes of users, power loss of system transmission lines, valve point effect of generator set during operation, different power generation limits of each generator set, and power change limits of increasing or decreasing unit output in each period [12]. Improper consideration of these constraints will lead to potential increases in operating costs and pollution emissions during power distribution in microgrid systems, so it is critical that the power output of these generating sets is correctly allocated.…”
Section: Research Significance and The Direction Of Economic Dispatchingmentioning
confidence: 99%
See 1 more Smart Citation
“…No matter the static economic dispatching or dynamic economic dispatching, there are many different limiting factors that need to be controlled reasonably in the generating process of the generator set, which is also a very complicated task. These factors include: the power demand changes of users, power loss of system transmission lines, valve point effect of generator set during operation, different power generation limits of each generator set, and power change limits of increasing or decreasing unit output in each period [12]. Improper consideration of these constraints will lead to potential increases in operating costs and pollution emissions during power distribution in microgrid systems, so it is critical that the power output of these generating sets is correctly allocated.…”
Section: Research Significance and The Direction Of Economic Dispatchingmentioning
confidence: 99%
“…Load(12) where P BT (t) is the charging and discharging power of the battery in the t period, negative values indicate charge and positive values indicate discharge.…”
mentioning
confidence: 99%
“…Therefore, a multiobjective approach has been used to deal with these two conflicting objectives in the combined CHP economic and emission dispatch (CHPEED) problem. The CHPEED multi-objective problem has been solved using numerical polynomial homotopy continuation (NPHC) [16], the normal boundary intersection method [17], time-varying acceleration PSO [18], GWO [19], and multiverse optimization [20].…”
Section: Introductionmentioning
confidence: 99%
“…Ref. [8] used a numerical polynomial no-convex continuation to solve the economic emission dispatch problem. Ref.…”
Section: Introductionmentioning
confidence: 99%