DocumentCode :
3246926
Title :
A distributed continuous-time gradient dynamics approach for the active power loss minimizations
Author :
Xu Ma ; Elia, Nicola
Author_Institution :
Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA, USA
fYear :
2013
fDate :
2-4 Oct. 2013
Firstpage :
100
Lastpage :
106
Abstract :
In this paper, we consider the non-convex active power loss minimization problem. Under the existence of saddle points and certain mild conditions, we show that a solution to the active power loss minimization can be achieved by applying the gradient dynamics approach. An important feature of this approach is that it is naturally distributed, i.e., each bus in the network only requires the local information from its neighbors and itself for computation. A four-bus simulation example is given to illustrate the distributed structure and convergence of the gradient dynamics. The validity of our approach is also verified by distributedly computing the optimal solutions to the IEEE benchmark systems with 14, 30, and 57 buses.
Keywords :
distribution networks; load flow; minimisation; optimal systems; 14 bus; 30 bus; 57 bus; IEEE benchmark systems; distributed computing; distributed continuous-time gradient dynamics; distributed structure; four-bus simulation; gradient dynamics convergence; local information; mild conditions; natural distribution; network bus; nonconvex active power loss minimization; optimal solutions; saddle points; Convergence; Eigenvalues and eigenfunctions; Jacobian matrices; Minimization; Optimization; Sparse matrices; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Communication, Control, and Computing (Allerton), 2013 51st Annual Allerton Conference on
Conference_Location :
Monticello, IL
Print_ISBN :
978-1-4799-3409-6
Type :
conf
DOI :
10.1109/Allerton.2013.6736511
Filename :
6736511
Link To Document :
بازگشت