2022
DOI: 10.1016/j.apenergy.2022.119162
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A Stochastic-IGDT model for energy management in isolated microgrids considering failures and demand response

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Cited by 53 publications
(12 citation statements)
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“…Also, the variables δ n,t,s and δ m,t,s are the voltage angles related to n th and m th busses. The variable P line n,m,t,s shows the line power between the busses n and m at any time introduced in (22) whose line capacity value is limited by (23). Equations ( 24) and (25) determine the electrical load of each bus and the reference bus angle, respectively.…”
Section: Problem Formulationmentioning
confidence: 99%
See 1 more Smart Citation
“…Also, the variables δ n,t,s and δ m,t,s are the voltage angles related to n th and m th busses. The variable P line n,m,t,s shows the line power between the busses n and m at any time introduced in (22) whose line capacity value is limited by (23). Equations ( 24) and (25) determine the electrical load of each bus and the reference bus angle, respectively.…”
Section: Problem Formulationmentioning
confidence: 99%
“…[21] has discussed the optimization problem in order to reduce the cost of an EH by considering the PV as well as IPL. Also in [22], in order to minimize the impact of unexpected events on the system, a new energy management tool for isolated microgrids that is resistant to failure is presented. In this paper, a stochastic-IGDT formulation is developed, by which typical uncertainties are modeled through scenarios.…”
Section: Introductionmentioning
confidence: 99%
“…Eventually, the single-level formulation of the problem depicted in ( 63)-( 66) is rewritten as ( 68)-(73). Equation (68) refers to the fact that the single-level problem has the objective function of the upper-level problem, (1), and its constraints, (2)-( 11) [59]. Equations ( 69)-( 73) show the KKT model of the lower-level problem, which are found by equalizing the derivatives of the Lagrange function with respect to the variables of this problem (x, ϕ, and λ) to zero.…”
Section: Subject Tomentioning
confidence: 99%
“…With the rapid development of smart grids, participants in modern power systems have become more diverse in terms of power generation, distribution and consumption [2]. For an AC/DC hybrid microgrid that integrates multiple distributed energy sources, energy storage and loads, the cooperation and competition among different stakeholders is an important issue.…”
Section: Introductionmentioning
confidence: 99%