Greedy Algorithm for Minimizing the Cost of Routing Power on a Digital Microgrid
by
Zhengqi Jiang 1, Vinit Sahasrabudhe 1, Ahmed Mohamed 2
, Haim Grebel 1 and Roberto Rojas-Cessa 1,*
, Haim Grebel 1 and Roberto Rojas-Cessa 1,*
1
Department of Electrical and Computer Engineering, New Jersey Institute of Technology, Newark, NJ 07102, USA
2
Department of Electrical Engineering, City College of City University of New York, New York, NY 10031, USA
*
Author to whom correspondence should be addressed.
Energies 2019, 12(16), 3076; https://doi.org/10.3390/en12163076
Received: 22 June 2019 / Revised: 25 July 2019 / Accepted: 30 July 2019 / Published: 9 August 2019
(This article belongs to the Special Issue Advanced Approaches, Business Models, and Novel Techniques for Management and Control of Smart Grids)
In this paper, we propose the greedy smallest-cost-rate path first (GRASP) algorithm to route power from sources to loads in a digital microgrid (DMG). Routing of power from distributed energy resources (DERs) to loads of a DMG comprises matching loads to DERs and the selection of the smallest-cost-rate path from a load to its supplying DERs. In such a microgrid, one DER may supply power to one or many loads, and one or many DERs may supply the power requested by a load. Because the optimal method is NP-hard, GRASP addresses this high complexity by using heuristics to match sources and loads and to select the smallest-cost-rate paths in the DMG. We compare the cost achieved by GRASP and an optimal method based on integer linear programming on different IEEE test feeders and other test networks. The comparison shows the trade-offs between lowering complexity and achieving optimal-cost paths. The results show that the cost incurred by GRASP approaches that of the optimal solution by small margins. In the adopted networks, GRASP trades its lower complexity for up to 18% higher costs than those achieved by the optimal solution.
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Keywords:
digital microgrid; power grid; integer linear programming; routing energy; distributed energy resources; Dijkstra algorithm; integer linear programming
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MDPI and ACS Style
Jiang, Z.; Sahasrabudhe, V.; Mohamed, A.; Grebel, H.; Rojas-Cessa, R. Greedy Algorithm for Minimizing the Cost of Routing Power on a Digital Microgrid. Energies 2019, 12, 3076.
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