An Interval Fuzzy-Stochastic Chance-Constrained Programming Based Energy-Water Nexus Model for Planning Electric Power Systems

Abstract

Abstract:In this study, an interval fuzzy-stochastic chance-constrained programming based energy-water nexus (IFSCP-WEN) model is developed for planning electric power system (EPS). The IFSCP-WEN model can tackle uncertainties expressed as possibility and probability distributions, as well as interval values. Different credibility (i.e., γ) levels and probability (i.e., q i ) levels are set to reflect relationships among water supply, electricity generation, system cost, and constraint-violation risk. Results reveal that different γ and q i levels can lead to a changed system cost, imported electricity, electricity generation, and water supply. Results also disclose that the study EPS would tend to the transition from coal-dominated into clean energy-dominated. Gas-fired would be the main electric utility to supply electricity at the end of the planning horizon, occupying [28.47, 30.34]% (where 28.47% and 30.34% present the lower bound and the upper bound of interval value, respectively) of the total electricity generation. Correspondingly, water allocated to gas-fired would reach the highest, occupying [33.92, 34.72]% of total water supply. Surface water would be the main water source, accounting for more than [40.96, 43.44]% of the total water supply. The ratio of recycled water to total water supply would increase by about [11.37, 14.85]%. Results of the IFSCP-WEN model present its potential for sustainable EPS planning by co-optimizing energy and water resources.

Review of Mathematical Programming Applications in Water Resource Management Under Uncertainty

“…For cases in which the constraint coefficients are expressed as fuzzy numbers, this concept is adapted by the introduction of a credibility measure. In credibility constrained programming, the "credibility" that a constraint is satisfied must reach a specified threshold [130,199,212,222,223]. The models developed are generally illustrated using hypothetical examples or cases inspired by real applications of water resource management.…”

Coupling the two-level programming and copula for optimizing energy-water nexus system management – A case study of Henan Province

“…Nexus is an instructive approach to settle multifarious complicated problems which combine water and energy collectively, therefore it could be diffusely applied to the regional-scale energy system research [5,6]. However, there are many complex interrelationships in the real-world energy-water nexus system (EWNS) management [7][8][9].…”

“…In this study, nomenclatures for parameters and variables are depicted in Appendix A. Relevant technical and economic parameters were obtained from the Statistical Yearbook of Henan Province, the 13 th Five-year Energy Development Plan of Henan Province, and other parameters were obtained from the government work report of Henan province and related published articles [7,12,14,[37][38][39][40][41]. For instance, the correlative water-consumption parameters (e.g., water consumption for cooling system, steam system, desulfurization system and other systems) that are presented as interval values were obtained from published papers by Liu et al [7], Lv et al…”

Investigating the Role of Renewable Energies in Integrated Energy-water Nexus Planning under Uncertainty Using Fuzzy Logic

“…However, due to these power sources' uncertain nature, building a model that generates reliable decisions under uncertainty to maximize their energy-water nexus systems efficiency is essential [7]. To the best of our knowledge, there are a few studies that offer general mathematical energy-water nexus planning models [8,9,10,6,11]. Ghassemi [12] proposed a framework for energy-water nexus planning that minimizes the total systems cost while reducing the unwanted environmental effects.…”

“…Fuzzy logic has been used in numerous applications in different range of fields, to deal with uncertainty [13,14]. The application of the Robust optimization [7,12], Fuzzy logic [10,15,16,17,18,19] and stochastic programming [20,21,22] Have been used on a limited scale in energywater nexus planning and in a broader capacity in the classic scientific fields. Using the Fuzzy logic makes it possible to involve the policymakers, shareholders, and managers' opinions and also scenarios-based planning into consideration.…”