Structural and parametric optimization of ducted supply and exhaust ventilation. Part 1
DOI: 10.17586/1606-4313-2024-23-4-12-18
UDC 697.921.47
Tsygankov A.V., Dolgovskaya O.V., Vinogradsky Dmitry V.
Keywords: supply and exhaust ventilation, equipment selection, paired comparison method, optimization, Edgeworth–Pareto conditions.
UDC 697.921.47
Structural and parametric optimization of ducted supply and exhaust ventilation. Part 1
For citation: Tsygankov A.V., Dolgovskaia O.V., Vinogradsky D.V. Structural and parametric optimization of ducted supply and exhaust ventilation. Part 1. Journal of International Academy of Refrigeration. 2024. No 4. p. 12-18. DOI: 10.17586/1606-4313-2024-23-4-12-18
Abstract
The article discusses a method for assessing the structure of ducted air handling units (AHU). A special feature of such installations is the variety of possible block layouts. There is a need to choose from a variety of alternative options for a Pareto-optimal combination of cost, energy, weight, size, and other parameters. The article provides basic options for installation layout schemes. The initial data of the optimization problem is taken in the form of an array (matrix) consisting of local criteria for alternative options for the layout of the AHU. The optimization problem of choosing an AHU scheme is solved using the method of paired comparison of criteria based on floating preference. An algorithm is proposed for checking all alternatives for compliance with the Edgeworth–Pareto conditions. Based on the verbal-numerical scale of relative preference of criteria, a matrix of paired comparisons was formed, which is a square inversely symmetric matrix. A method for calculating the eigenvalue and eigenvector of such a matrix is given. The eigenvector provides priority ordering, and the eigenvalue is a measure of the consistency of the symmetric matrix. As an example, the solution to the problem of choosing one of four basic AHU schemes according to local criteria (energy efficiency, cost, reliability, weight and dimensions, maintenance) is considered. The matrices of pairwise comparisons based on local criteria and the matrix of eigenvectors for alternative schemes are presented. In conclusion, the article presents an algorithm for solving the problem of optimal selecting an AHU scheme using the paired comparison method based on expert assessments.
Abstract
The article discusses a method for assessing the structure of ducted air handling units (AHU). A special feature of such installations is the variety of possible block layouts. There is a need to choose from a variety of alternative options for a Pareto-optimal combination of cost, energy, weight, size, and other parameters. The article provides basic options for installation layout schemes. The initial data of the optimization problem is taken in the form of an array (matrix) consisting of local criteria for alternative options for the layout of the AHU. The optimization problem of choosing an AHU scheme is solved using the method of paired comparison of criteria based on floating preference. An algorithm is proposed for checking all alternatives for compliance with the Edgeworth–Pareto conditions. Based on the verbal-numerical scale of relative preference of criteria, a matrix of paired comparisons was formed, which is a square inversely symmetric matrix. A method for calculating the eigenvalue and eigenvector of such a matrix is given. The eigenvector provides priority ordering, and the eigenvalue is a measure of the consistency of the symmetric matrix. As an example, the solution to the problem of choosing one of four basic AHU schemes according to local criteria (energy efficiency, cost, reliability, weight and dimensions, maintenance) is considered. The matrices of pairwise comparisons based on local criteria and the matrix of eigenvectors for alternative schemes are presented. In conclusion, the article presents an algorithm for solving the problem of optimal selecting an AHU scheme using the paired comparison method based on expert assessments.
Keywords: supply and exhaust ventilation, equipment selection, paired comparison method, optimization, Edgeworth–Pareto conditions.
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