The Augmented Lagrangian Method Applied to Unsolvable Power Flows

被引:0
作者
Zambaldi, Mario C. [1 ]
Francisco, Juliano B. [1 ]
Barboza, Luciano V. [2 ]
机构
[1] Univ Fed Santa Catarina, BR-88040900 Florianopolis, SC, Brazil
[2] Sul Rio Grandense Fed Inst, Pelotas, Brazil
来源
ADVANCES IN MATHEMATICAL AND COMPUTATIONAL METHODS: ADDRESSING MODERN CHALLENGES OF SCIENCE, TECHNOLOGY, AND SOCIETY | 2011年 / 1368卷
关键词
Unsolvable power flow; Restoring solvability; Augmented Lagrangian method; CONSTRAINTS; OPTIMIZATION; CONVERGENCE;
D O I
10.1063/1.3663494
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This work aims to present and discuss an approach to restore the network electric equations solvability. The unsolvable power flow is modeled as a constrained optimization problem. The cost function is the least squares of the real and reactive power mismatches sum. The equality constraints are the real and reactive power mismatches at null injection buses and/or at those buses that must have their power demands totally supplied for technical or economical criteria. The mathematical model is solved by an algorithm based on the Augmented Lagrangian method considering the particular structure of the problem. Numerical results for a real equivalent system from the Brazilian South-Southeast region are presented in order to assess the performance of the proposed approach.
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页数:4
相关论文
共 9 条
  • [1] ON AUGMENTED LAGRANGIAN METHODS WITH GENERAL LOWER-LEVEL CONSTRAINTS
    Andreani, R.
    Birgin, E. G.
    Martinez, J. M.
    Schuverdt, M. L.
    [J]. SIAM JOURNAL ON OPTIMIZATION, 2008, 18 (04) : 1286 - 1309
  • [2] [Anonymous], 1994, Power System Voltage Stability
  • [3] Barboza L. V., 2000, BRAZILIAN J CONTROL, V11, P182
  • [4] Structured minimal-memory inexact quasi-Newton method and secant preconditioners for augmented Lagrangian optimization
    Birgin, E. G.
    Martinez, J. M.
    [J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2008, 39 (01) : 1 - 16
  • [5] A GLOBALLY CONVERGENT AUGMENTED LAGRANGIAN ALGORITHM FOR OPTIMIZATION WITH GENERAL CONSTRAINTS AND SIMPLE BOUNDS
    CONN, AR
    GOULD, NIM
    TOINT, PL
    [J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1991, 28 (02) : 545 - 572
  • [6] On the quadratic convergence of the Levenberg-Marquardt method without nonsingularity assumption
    Fan, JY
    Yuan, YX
    [J]. COMPUTING, 2005, 74 (01) : 23 - 39
  • [7] Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints
    Kanzow, C
    Yamashita, N
    Fukushima, T
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 172 (02) : 375 - 397
  • [8] Nocedal J., 1999, SPRINGER SERIES OPE
  • [9] Yamashita N., 2001, COMPUT S, V15, P239, DOI DOI 10.1007/978-3-7091-6217-0_18