2006
DOI: 10.1080/10618560600771758
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A low-complexity global optimization algorithm for temperature and pollution control in flames with complex chemistry

Abstract: -Controlling flame shapes and emissions is a major objective for all combustion engineers. Considering the complexity of reacting flows, new optimization methods are required: this paper explores the application of control theory for partial differential equations to combustion. Both flame temperature and pollutant levels are optimized in a laminar Bunsen burner computed with complex chemistry using a recursive semi-deterministic global optimization algorithm. In order to keep computational time low, the optim… Show more

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Cited by 11 publications
(10 citation statements)
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“…In order to solve (D V ar ; IP; α; β), which seems to be a non-convex problem (the cost function associated to the problem appears to have various local minima, see Figure 2), we use a particular global optimization algorithm based on the steepest descent algorithm, where the initial condition is generated using the secant method [25]. A complete description and validation of this algorithm can be found in the following literature [20,18,13,22,21,16,17]. The obtained solutions are denoted by λ (α,β) .…”
Section: Numerical Problemmentioning
confidence: 99%
“…In order to solve (D V ar ; IP; α; β), which seems to be a non-convex problem (the cost function associated to the problem appears to have various local minima, see Figure 2), we use a particular global optimization algorithm based on the steepest descent algorithm, where the initial condition is generated using the secant method [25]. A complete description and validation of this algorithm can be found in the following literature [20,18,13,22,21,16,17]. The obtained solutions are denoted by λ (α,β) .…”
Section: Numerical Problemmentioning
confidence: 99%
“…in order to reduce the enzymatic activities without using high temperatures (whose drawbacks are described in Section 3.6.1). This task may be performed with the help of optimization software such as Global Optimization Platform 1 which has been validated on several benchmark [16,18] and industrial problems [2,13,15].…”
Section: Discussionmentioning
confidence: 99%
“…of this method and those two particular implementations can be found in (Ivorra 2006;Ivorra et al 2007). Furthermore, various applications to industrial problems are presented in (Debiane et al 2006;Carrascoetal.2012;Gomez et al 2011;Hertzog et al 2006;Isebe et al 2008;Ivorra et al 2006aIvorra et al , 2006bIvorra et al , 2009.…”
Section: General Description Of the Methodsmentioning
confidence: 99%