Distribution Loss Minimization With Guaranteed Error Bound

Autor: Yasuhiro Hayashi, Keiji Takano, Shin-ichi Minato, Takayuki Watanabe, Ryo Yoshinaka, Jun Kawahara, Akihiro Kishimoto, Koji Tsuda, Takeru Inoue
Rok vydání: 2014
Předmět:
Mathematical optimization
Optimization problem
General Computer Science
power supply quality
hard discrete optimization problem
Electric power system
distributed power generation
Approximation error
binary decision diagrams
distribution loss minimization
Boolean functions
switchgear
Boolean function
Mathematics
search problems
minimisation
dispersed generator
shortest path-finding problem
Data structures
Junctions
Minimization
Optimization
Vectors
Vegetation
Distribution network
loss minimization
network reconfiguration
zero-suppressed binary decision diagram
Binary decision diagram
large-scale distribution network
Data structure
binary decision diagram
losses
switch
Maxima and minima
large-scale model network
power system
distribution networks
highly compressed search space
Minification
guaranteed error bound
Zdroj: IEEE Transactions on Smart Grid. 5:102-111
ISSN: 1949-3061
1949-3053
DOI: 10.1109/tsg.2013.2288976
Popis: Determining loss minimum configuration in a distribution network is a hard discrete optimization problem involving many variables. Since more and more dispersed generators are installed on the demand side of power systems and they are reconfigured frequently, developing automatic approaches is indispensable for effectively managing a large-scale distribution network. Existing fast methods employ local updates that gradually improve the loss to solve such an optimization problem. However, they eventually get stuck at local minima, resulting in arbitrarily poor results. In contrast, this paper presents a novel optimization method that provides an error bound on the solution quality. Thus, the obtained solution quality can be evaluated in comparison to the global optimal solution. Instead of using local updates, we construct a highly compressed search space using a binary decision diagram and reduce the optimization problem to a shortest path-finding problem. Our method was shown to be not only accurate but also remarkably efficient; optimization of a large-scale model network with 468 switches was solved in three hours with 1.56% relative error bound.
Databáze: OpenAIRE