2022
DOI: 10.1016/j.apenergy.2022.118865
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Optimal scheduling of an active distribution system considering distributed energy resources, demand response aggregators and electrical energy storage

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Cited by 19 publications
(6 citation statements)
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“… The relaxation of branch power flowThe non‐convex and non‐linear Equation (2) can be rewritten as a second‐order cone relax form, as presented in the following [38] left[]2Pmnt2QmntimntvmtnormalT2imntgoodbreak+vmt$$\begin{equation} {\left\Vert \def\eqcellsep{&}\begin{array}{l}{\left[2 P_{m n}^t \ \ 2 Q_{m n}^t \ \ i_{m n}^t-v_{m}^t \right]}^{\mathrm{T}} \end{array} \right\Vert} _{2} \leqslant i_{m n}^t+v_{m}^t \end{equation}$$ The capacities of branchesThe power flowing from node m to node n is limited to [10] truerightPmnmingoodbreak≤PmntPmnmaxrightQmnmingoodbreak≤QmntQmnmax$$\begin{equation} {\left\lbrace \begin{aligned} P_{mn}^{\min } \le P_{mn}^t \le P_{mn}^{\max } \\ Q_{mn}^{\min } \le Q_{mn}^t \le Q_{mn}^{\max } \end{aligned} \right.} \end{equation}$$ Operation security and network lossvmt${v}_m^{t}$ (mNnormalnode$m \in {\mathcal {N}}_{\mathrm{n}ode}$) and imnt${i}_{mn}^{t}$ (mnNnormalbranch$mn \in {\mathcal {N}}_{\mathrm{b}ranch}$) should satisfy [39] …”
Section: Optimal Allocation Framework Of Photovoltaic Generations In ...mentioning
confidence: 99%
See 2 more Smart Citations
“… The relaxation of branch power flowThe non‐convex and non‐linear Equation (2) can be rewritten as a second‐order cone relax form, as presented in the following [38] left[]2Pmnt2QmntimntvmtnormalT2imntgoodbreak+vmt$$\begin{equation} {\left\Vert \def\eqcellsep{&}\begin{array}{l}{\left[2 P_{m n}^t \ \ 2 Q_{m n}^t \ \ i_{m n}^t-v_{m}^t \right]}^{\mathrm{T}} \end{array} \right\Vert} _{2} \leqslant i_{m n}^t+v_{m}^t \end{equation}$$ The capacities of branchesThe power flowing from node m to node n is limited to [10] truerightPmnmingoodbreak≤PmntPmnmaxrightQmnmingoodbreak≤QmntQmnmax$$\begin{equation} {\left\lbrace \begin{aligned} P_{mn}^{\min } \le P_{mn}^t \le P_{mn}^{\max } \\ Q_{mn}^{\min } \le Q_{mn}^t \le Q_{mn}^{\max } \end{aligned} \right.} \end{equation}$$ Operation security and network lossvmt${v}_m^{t}$ (mNnormalnode$m \in {\mathcal {N}}_{\mathrm{n}ode}$) and imnt${i}_{mn}^{t}$ (mnNnormalbranch$mn \in {\mathcal {N}}_{\mathrm{b}ranch}$) should satisfy [39] …”
Section: Optimal Allocation Framework Of Photovoltaic Generations In ...mentioning
confidence: 99%
“…vmt${v}_m^{t}$ (mNnormalnode$m \in {\mathcal {N}}_{\mathrm{n}ode}$) and imnt${i}_{mn}^{t}$ (mnNnormalbranch$mn \in {\mathcal {N}}_{\mathrm{b}ranch}$) should satisfy [39] vminbadbreak−normalΔvnormalmingoodbreak≤vmtgoodbreak≤vmaxgoodbreak+normalΔvnormalmax$$\begin{equation} {v}^{\rm {min}}-\Delta v^{\mathrm{m}in} \le {v}_m^{t} \le {v}^{\rm {max}} +\Delta v^{\mathrm{m}ax} \end{equation}$$ 0badbreak<imntgoodbreak≤imax$$\begin{equation} 0 &lt; {i}_{mn}^{t} \le {i}^{\rm {max}} \end{equation}$$…”
Section: Optimal Allocation Framework Of Photovoltaic Generations In ...mentioning
confidence: 99%
See 1 more Smart Citation
“…In [11], a two-level optimization approach was presented for the distribution system, which contemplates the demand response, electrical energy storage, and energy resources. The first level determines optimal bidding strategies for electric vehicles and demand response aggregators.…”
Section: Introductionmentioning
confidence: 99%
“…Evaluate the exploitation and exploration phases of heap algorithm in the energy management phases are expressed using eqn. (11),…”
mentioning
confidence: 99%