A dual augmented Lagrangian approach for optimal power flow

Journal Article · Mon Aug 01 00:00:00 EDT 1988 · IEEE Trans. Power Syst.; (United States)

DOI:https://doi.org/10.1109/59.14556· OSTI ID:6537479

Santos, A Jr; Deckmann, S; Soares, S ^[1]

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1. Departamento de Engenharia Electrica, Universidade Estadual de Campinas, 13.081 Campinas, SP (BR)

This paper presents a method for solving the active and reactive optimal power flow problem. The method is based on nonlinear programming techniques combining dual and penalty approaches. The classical Lagrangian is defined for both equality and inequality constraints. This function is then augmented by penalty terms for all constraints and it is minimized by Newton's method. An intrinsic multiplier updating rule eliminates the necessity of increasing the penalty factors to very large values. The method unifies the treatment of equality and inequality constraints. It also avoids the critical aspects present in the determination of the binding constraints set.

• OSTI ID: 6537479
• Journal Information: IEEE Trans. Power Syst.; (United States), Journal Name: IEEE Trans. Power Syst.; (United States) Vol. 3:3; ISSN ITPSE
• Country of Publication: United States
• Language: English

Related Subjects

200300* -- Electric Power Engineering-- Power Transmission & Distribution-- (-1989)
24 POWER TRANSMISSION AND DISTRIBUTION
99 GENERAL AND MISCELLANEOUS
990220 -- Computers
Computerized Models
& Computer Programs-- (1987-1989)
CONSTRAINTS
DIFFERENTIAL EQUATIONS
EQUATIONS
ITERATIVE METHODS
LAGRANGE EQUATIONS
NEWTON METHOD
NONLINEAR PROGRAMMING
OPTIMIZATION
PARTIAL DIFFERENTIAL EQUATIONS
POWER TRANSMISSION
PROGRAMMING