Catalytic cracking problem - Revision history

FelixMueller at 19:21, 29 September 2016

2016-09-29T19:21:15Z

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	[[Category:ODE model]]		[[Category:ODE model]]
	[[Category:DAE model]]		[[Category:DAE model]]
			[[Category:Chemical engineering]]

2016-07-27T08:32:44Z

2016-07-27T08:26:13Z

← Older revision		Revision as of 08:26, 27 July 2016
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	\|nz = 2		\|nz = 2
	\|np = 3		\|np = 3
			\|nc = 3
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2016-06-27T22:01:12Z

2016-05-05T18:09:10Z

Mathematical formulation

2016-05-05T18:03:47Z

Mathematical formulation

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	\begin{array}{llcl}		\begin{array}{llcl}
	\displaystyle \min_{\theta} &\sum\limits_{j=1}^{21} &&\|\|y(\tau_j; \theta) - z_j\|\|^2 \\[1.5ex]		\displaystyle \min_{\theta} &\sum\limits_{j=1}^{21} &&\|\|y(\tau_j; \theta) - z_j\|\|^2 \\[1.5ex]
	\mbox{s.t.} & \dot{y}_1 & = & -(\theta_1 + \theta_3) y_1^2, \\		\mbox{s.t.}
			& \dot{y}_1 & = & -(\theta_1 + \theta_3) y_1^2, \\
	& \dot{y}_2 & = & \theta_1 y_1^2 - \theta_2 y_2. \\		& \dot{y}_2 & = & \theta_1 y_1^2 - \theta_2 y_2. \\
	\end{array}		\end{array}

2016-05-05T17:44:24Z

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	-->~~This~~ problem tries to determine "reaction coefficients for the catalytic cracking of gas oil into gas and other byproducts." (Cite and problem taken from the [http://www.mcs.anl.gov/~more/cops/ COPS library])		-->The Catalytic cracking problem tries to determine "reaction coefficients for the catalytic cracking of gas oil into gas and other byproducts." (Cite and problem taken from the [http://www.mcs.anl.gov/~more/cops/ COPS library])

2016-05-05T17:44:06Z

Parameters

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	== Parameters ==		== Parameters ==
	The values <math> z_j </math> are measurements for the concentration for <math> y </math> at time points <math> \tau_1, ..., \~~tau_21~~ </math> and initial conditions are known.		The values <math> z_j </math> are measurements for the concentration for <math> y </math> at time points <math> \tau_1, ..., \tau_{21} </math> and initial conditions are known.

	== Source Code ==		== Source Code ==

2016-05-05T17:43:56Z

← Older revision		Revision as of 17:43, 5 May 2016
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	== Parameters ==		== Parameters ==
	The values <math> z_j </math> are measurements for the concentration for <math> y </math> at time points <math> \tau_1, ..., \tau_21 </math>.		The values <math> z_j </math> are measurements for the concentration for <math> y </math> at time points <math> \tau_1, ..., \tau_21 </math> and initial conditions are known.

	== Source Code ==		== Source Code ==

2016-05-05T17:30:29Z

Source Code

← Older revision		Revision as of 17:30, 5 May 2016
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	Model descriptions are available in		Model descriptions are available in

	* [[:Category:AMPL/TACO \| AMPL/TACO code]] at [[~~Catalyst~~ cracking problem (TACO)]]		* [[:Category:AMPL/TACO \| AMPL/TACO code]] at [[Catalytic cracking problem (TACO)]]