Mathematically Rigorous Algebraic and Graphical Techniques for Targeting Minimum Resource Requirement and Interplant Flow Rate for Total Site Involving Two Plants

Abstract

Minimization of the overall resource (e.g., water, hydrogen, material, etc.) requirement and the minimum interplant flow rate to achieve the overall minimum resource requirement across two resource allocation networks (RANs) have been presented in this paper. The resource requirement for a single RAN can be minimized through established mathematical and/or pinch-based methodologies. The overall resource requirement can further be minimized by integrating RANs at the site level. While integrating two RANs at the site level, for the reduction of overall resource requirement, it is also important to minimize the interplant flow rate across them. Mathematically these minimization problems can be modeled as linear programming problems. However, on the basis of the special mathematical features of this problem, an algorithmic procedure as well as a graphical procedure are developed to target the minimum overall resource requirement by integrating two RANs and also to minimize the interplant flow rate, satisfying the previous target. The applicability of the proposed methodology is limited to two RANs with single quality.

Bi-Objective Optimization of Interplant Integration Using Pinch Analysis

“…To determine the minimum interplant flow, the reflected LCC of plant A* and LCC of plant B are plotted in accordance with the method proposed by Bandyopadhyay et al 50 The LCC of plant B and the reflected LCC of plant A* touch each other at the lowest quality as well as at the site Pinch quality. Following the results reported by Sahu and Bandypodhyay, 5 this observation can be easily proved through the following equation.…”

“…10 Spriggs et al 11 proposed a method for interplant integration by extending a single plant integration technique, the material recovery Pinch diagram. 12 Further, Sahu and Bandyopadhyay 5 minimized interplant flows by combining the source composite curve 13 and limiting composite curve (LCC). 14 Deng et al 15 simplified the interplant integration by using the LCC.…”

Improved Problem Table for Targeting Hydrogen Network with Single Intermediate Header

“…The minimum flowrate of hydrogen utility is also obtained through their algebraic approach (Sahu and Bandyopadhyay 2012).…”

Quantitative tools for cultivating symbiosis in industrial parks; a literature review

“…as defined earlier in reference to [63], with hydrogen and water networks as worked examples. A mathematically rigorous treatment of the algebraic and graphical methods of targeting was developed by Sahu and Bandyopadhyay [96] that dealt with two plants for a generalized resource allocation network.…”