DocumentCode :
1524178
Title :
Multiobjective power dispatch with line flow constraints using the fast Newton-Raphson method
Author :
Chen, Jiann-Fuh ; Chen, Shin-Der
Author_Institution :
Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan
Volume :
12
Issue :
1
fYear :
1997
fDate :
3/1/1997 12:00:00 AM
Firstpage :
86
Lastpage :
93
Abstract :
The fast Newton-Raphson approach based on an alternative Jacobian matrix is proposed to solve the power system multiobjective power dispatch (MPD) problem with line flow constraints. Two conflicting objectives including minimization of fuel cost and environmental impact of emission are considered in this study. The Jacobian matrix is formulated by the incremental transmission loss in terms of the sensitivity factors, line flows and line resistances. The sensitivity factors are obtained from line flow solutions based on a DC load flow model. Moreover, the B-coefficients matrix and the Lagrange function can be shown as convex functions. Therefore, the existence and uniqueness of the solution for the nonlinear equation of the MPD problem can be proven. The proposed approach is tested on the IEEE 14- and 30-bus systems. Simulation results obtained from the proposed method confirm the advantage of computation rapidity and solution accuracy over that of the AC load flow method and the conventional B-coefficients method, respectively. The comparison confirms the capability of the proposed method in real-time implementation for the MPD problem
Keywords :
Jacobian matrices; Newton-Raphson method; control system analysis computing; load dispatching; power system analysis computing; power system control; B-coefficients matrix; DC load flow model; Jacobian matrix; Lagrange function; computer simulation; control simulation; convex functions; fast Newton-Raphson method; line flow constraints; multiobjective power dispatch; power system load control; sensitivity factors; Computational modeling; Costs; Fuels; Jacobian matrices; Load flow; Load modeling; Nonlinear equations; Power systems; Propagation losses; System testing;
fLanguage :
English
Journal_Title :
Energy Conversion, IEEE Transactions on
Publisher :
ieee
ISSN :
0885-8969
Type :
jour
DOI :
10.1109/60.577285
Filename :
577285
Link To Document :
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