The objective of this paper is to determine and minimizes the total operation cost and the risk of load shedding in a microgrid (μG) composed of two areas: a generation center and a load center. The system operation is formulated as an optimization problem, where the objective function minimizes the costs of the system operation and the risk of load shedding. The constraints secure the balance between generation and load. Also generation and transmission may not exceed the available capacity. Monte Carlo simulation (MCS) is used for the solution of the optimization problem giving two main outputs: loss of load occasion (LOLO) and total operation cost (TOC). A variance reduction technique is used to reduce the variance of MCS. One other objective of the paper is to study how much the simulation efficiency can be improved by introducing variance reduction techniques. Simulation results shows that, (i) the formulated optimization problem, objective function, and constraints is capable to achieve the study target, and (ii), with even a quite straightforward and simple model the proposed MCS methods show considerable variance reductions compared to Simple sampling in this model of the μG.
Published in | Advances in Networks (Volume 7, Issue 2) |
DOI | 10.11648/j.net.20190702.13 |
Page(s) | 29-36 |
Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
Copyright |
Copyright © The Author(s), 2019. Published by Science Publishing Group |
Micro Grid, Monte Carlo Simulation, Variance Reduction Techniques, Optimization, Operation Costs, Load Shedding, Distribution System Planning, Dispersed Generation, Power System Management
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APA Style
Ahmed R. Abul'Wafa. (2019). Minimization of Total Operation Cost and the Risk of Shedding in Microgrids. Advances in Networks, 7(2), 29-36. https://doi.org/10.11648/j.net.20190702.13
ACS Style
Ahmed R. Abul'Wafa. Minimization of Total Operation Cost and the Risk of Shedding in Microgrids. Adv. Netw. 2019, 7(2), 29-36. doi: 10.11648/j.net.20190702.13
@article{10.11648/j.net.20190702.13, author = {Ahmed R. Abul'Wafa}, title = {Minimization of Total Operation Cost and the Risk of Shedding in Microgrids}, journal = {Advances in Networks}, volume = {7}, number = {2}, pages = {29-36}, doi = {10.11648/j.net.20190702.13}, url = {https://doi.org/10.11648/j.net.20190702.13}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.net.20190702.13}, abstract = {The objective of this paper is to determine and minimizes the total operation cost and the risk of load shedding in a microgrid (μG) composed of two areas: a generation center and a load center. The system operation is formulated as an optimization problem, where the objective function minimizes the costs of the system operation and the risk of load shedding. The constraints secure the balance between generation and load. Also generation and transmission may not exceed the available capacity. Monte Carlo simulation (MCS) is used for the solution of the optimization problem giving two main outputs: loss of load occasion (LOLO) and total operation cost (TOC). A variance reduction technique is used to reduce the variance of MCS. One other objective of the paper is to study how much the simulation efficiency can be improved by introducing variance reduction techniques. Simulation results shows that, (i) the formulated optimization problem, objective function, and constraints is capable to achieve the study target, and (ii), with even a quite straightforward and simple model the proposed MCS methods show considerable variance reductions compared to Simple sampling in this model of the μG.}, year = {2019} }
TY - JOUR T1 - Minimization of Total Operation Cost and the Risk of Shedding in Microgrids AU - Ahmed R. Abul'Wafa Y1 - 2019/11/20 PY - 2019 N1 - https://doi.org/10.11648/j.net.20190702.13 DO - 10.11648/j.net.20190702.13 T2 - Advances in Networks JF - Advances in Networks JO - Advances in Networks SP - 29 EP - 36 PB - Science Publishing Group SN - 2326-9782 UR - https://doi.org/10.11648/j.net.20190702.13 AB - The objective of this paper is to determine and minimizes the total operation cost and the risk of load shedding in a microgrid (μG) composed of two areas: a generation center and a load center. The system operation is formulated as an optimization problem, where the objective function minimizes the costs of the system operation and the risk of load shedding. The constraints secure the balance between generation and load. Also generation and transmission may not exceed the available capacity. Monte Carlo simulation (MCS) is used for the solution of the optimization problem giving two main outputs: loss of load occasion (LOLO) and total operation cost (TOC). A variance reduction technique is used to reduce the variance of MCS. One other objective of the paper is to study how much the simulation efficiency can be improved by introducing variance reduction techniques. Simulation results shows that, (i) the formulated optimization problem, objective function, and constraints is capable to achieve the study target, and (ii), with even a quite straightforward and simple model the proposed MCS methods show considerable variance reductions compared to Simple sampling in this model of the μG. VL - 7 IS - 2 ER -