Balancing the water-energy dilemma in nexus system planning with bi-level and multi-uncertainty

Huang, Shanshan; Guo, Jing; Lv, J.; Jiang, Rui; Yu, Li; Fan, Yurui; Ding, Yanming

doi:10.1016/j.energy.2023.127720

Cited by 4 publications

(2 citation statements)

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“…We use the Newton's method to calculate λ, whose step-by-step algorithm is explained below in Algorithm 1. Interested readers are referred to [34][35][36] and the references therein for further detail. The following section performs the computational experiments of the proposed methodology and compares the results with the existing methods.…”

Section: Solution Strategymentioning

confidence: 99%

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Investing in Wind Energy Using Bi-Level Linear Fractional Programming

2023

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Investing in wind energy is a tool to reduce greenhouse gas emissions without negatively impacting the environment to accelerate progress towards global net zero. The objective of this study is to present a methodology for efficiently solving the wind energy investment problem, which aims to identify an optimal wind farm placement and capacity based on fractional programming (FP). This study adopts a bi-level approach whereby a private price-taker investor seeks to maximize its profit at the upper level. Given the optimal placement and capacity of the wind farm, the lower level aims to optimize a fractional objective function defined as the ratio of total generation cost to total wind power output. To solve this problem, the Charnes-Cooper transformation is applied to reformulate the initial bi-level problem with a fractional objective function in the lower-level problem as a bi-level problem with a fractional objective function in the upper-level problem. Afterward, using the primal-dual formulation, a single-level linear FP model is created, which can be solved via a sequence of mixed-integer linear programming (MILP). The presented technique is implemented on the IEEE 118-bus power system, where the results show the model can achieve the best performance in terms of wind power output.

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Section: Solution Strategymentioning

confidence: 99%

“…Bi-level programming has been widely used in other areas as well. A water-energy nexus planning scheme is developed in [36] to assist optimal decision-making with bi-level programming and multi-uncertainty.…”

Section: Introduction 1backgroundsmentioning

confidence: 99%