Risk-Constrained Optimal Chiller Loading Strategy Using Information Gap Decision Theory

This paper presents a novel framework for economic cooling load dispatch in conventional water-cooled chillers. Moreover, information gap decision theory (IGDT) is applied to the optimal chiller loading (OCL) problem to find the optimum operating point of the test system in three decision-making mod...

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Veröffentlicht in:	Applied sciences Jg. 9; H. 9; S. 1925
Hauptverfasser:	Shi, Er, Jabari, Farkhondeh, Anvari-Moghaddam, Amjad, Mohammadpourfard, Mousa, Mohammadi-ivatloo, Behnam
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Basel MDPI AG 01.05.2019
Schlagworte:	Decision making Decision theory Electricity Energy conservation Energy consumption Genetic algorithms information gap decision theory (IGDT) Integer programming Linear programming Load mixed-integer non-linear programming problem (MINLP) optimal chiller loading (OCL) Optimization algorithms Optimization techniques uncertain cooling demand Variables Iran Switzerland
ISSN:	2076-3417, 2076-3417
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Abstract	This paper presents a novel framework for economic cooling load dispatch in conventional water-cooled chillers. Moreover, information gap decision theory (IGDT) is applied to the optimal chiller loading (OCL) problem to find the optimum operating point of the test system in three decision-making modes: (a) risk-neutral approach, (b) risk-aversion or robustness approach, and (c) risk-taker or opportunistic approach. In the robustness mode of the IGDT-based OCL problem, the system operator enters a desired energy cost value in order to find the most appropriate loading points for the chillers so that the total electricity procurement cost over the study horizon is smaller than or equal to this critical value. Meanwhile, the cooling load increase is maximized to the highest possible level to find the most robust performance of the benchmark grid with respect to the overestimated load. Similarly, the risk-taker optimization method finds the on/off status and the partial load ratio (PLR) of the chillers in order to keep the total energy cost as low as the given cost function. In addition, the minimum value of cooling load decrease can be found while satisfying the refrigeration capacity of the chiller and the load-generation balance constraint. Thus, a mixed-integer non-linear programming problem is solved using the branch and reduce optimization (BARON) tool of the generalized algebraic mathematical modeling system (GAMS) for a five-chiller plant, to demonstrate that IGDT is able to find a good solution in robustness/risk-taker OCL problem.
AbstractList	This paper presents a novel framework for economic cooling load dispatch in conventional water-cooled chillers. Moreover, information gap decision theory (IGDT) is applied to the optimal chiller loading (OCL) problem to find the optimum operating point of the test system in three decision-making modes: (a) risk-neutral approach, (b) risk-aversion or robustness approach, and (c) risk-taker or opportunistic approach. In the robustness mode of the IGDT-based OCL problem, the system operator enters a desired energy cost value in order to find the most appropriate loading points for the chillers so that the total electricity procurement cost over the study horizon is smaller than or equal to this critical value. Meanwhile, the cooling load increase is maximized to the highest possible level to find the most robust performance of the benchmark grid with respect to the overestimated load. Similarly, the risk-taker optimization method finds the on/off status and the partial load ratio (PLR) of the chillers in order to keep the total energy cost as low as the given cost function. In addition, the minimum value of cooling load decrease can be found while satisfying the refrigeration capacity of the chiller and the load-generation balance constraint. Thus, a mixed-integer non-linear programming problem is solved using the branch and reduce optimization (BARON) tool of the generalized algebraic mathematical modeling system (GAMS) for a five-chiller plant, to demonstrate that IGDT is able to find a good solution in robustness/risk-taker OCL problem. [...]the economic operation of electrical air conditioners is important to reduce the energy demand of interconnected power systems. The variable climatic conditions affect the building cooling demand, the optimum value of the partial load ratios (PLRs), and the cooling capability of the chillers, as well as their power consumption [7]. [...]the uncertainties associated with the cooling load should be modeled by short-term scheduling of electrical air conditioners [8,9]. According to Equation (6), the robust optimization problem is formulated with an aim to maximize the uncertainty variable, α , while the energy cost is less than the given cost, Fk . [...]the minimum value of the cooling load decrease, which reduces the energy cost to predefined values Fw , must be found by solving the optimization problem (Equations (1)–(5), (13) and (14)).
Author	Mohammadi-ivatloo, Behnam Mohammadpourfard, Mousa Jabari, Farkhondeh Shi, Er Anvari-Moghaddam, Amjad
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SubjectTerms	Decision making Decision theory Electricity Energy conservation Energy consumption Genetic algorithms information gap decision theory (IGDT) Integer programming Linear programming Load mixed-integer non-linear programming problem (MINLP) optimal chiller loading (OCL) Optimization algorithms Optimization techniques uncertain cooling demand Variables
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Title	Risk-Constrained Optimal Chiller Loading Strategy Using Information Gap Decision Theory
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