📄 fm_gams.lst
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Ps(1)
(.LO, .L, .UP = 4.8468, 4.8468, 4.8468)
(1) Peq(6)
Ps(2)
(.LO, .L, .UP = 5.4955, 5.4955, 5.4955)
(1) Peq(18)
Ps(3)
(.LO, .L, .UP = 1.039, 1.039, 1.039)
(1) Peq(20)
REMAINING 4 ENTRIES SKIPPED
---- Pd
Pd(1)
(.LO, .L, .UP = 0, 0, 0)
(-1) Peq(1)
---- Qg
Qg(1)
(.LO, .L, .UP = 0, 0, 0)
1 Qeq(1)
Qg(2)
(.LO, .L, .UP = 0, 0, 0)
1 Qeq(2)
GAMS Rev 143 Intel/Linux 05/04/06 13:51:37 Page 8
GAMS/PSAT interface for solving the electricty market problem
Column Listing SOLVE market Using NLP From line 1243
Qg
Qg(3)
(.LO, .L, .UP = 0, 0, 0)
1 Qeq(3)
REMAINING 37 ENTRIES SKIPPED
---- kg
kg
(.LO, .L, .UP = -1, 0, 1)
(4.8468) Peq(6)
(2.7775) Peq(13)
(5.4955) Peq(18)
(1.039) Peq(20)
(1.039) Peq(22)
(2.895) Peq(24)
(6.1875) Peq(39)
---- lambdac
lambdac
(.LO, .L, .UP = 0, 1, +INF)
1 cost
(0) Peq(1)
(4.8468) Peq(6)
-4.22 Peq(12)
(2.7775) Peq(13)
-2.004 Peq(14)
-4.691 Peq(15)
-1.088 Peq(16)
(5.4955) Peq(18)
(1.039) Peq(20)
(1.039) Peq(22)
-3.926 Peq(23)
(2.895) Peq(24)
-5.185 Peq(25)
-3.584 Peq(26)
-2.948 Peq(29)
-1.316 Peq(30)
-1.579 Peq(31)
-1.422 Peq(32)
-0.4 Peq(33)
-3.685 Peq(34)
-0.842 Peq(35)
-0.316 Peq(36)
-2.001 Peq(37)
-1.56 Peq(38)
(6.1875) Peq(39)
0.638 Qeq(12)
-0.484 Qeq(14)
GAMS Rev 143 Intel/Linux 05/04/06 13:51:37 Page 9
GAMS/PSAT interface for solving the electricty market problem
Column Listing SOLVE market Using NLP From line 1243
lambdac
-0.965 Qeq(15)
-1.173 Qeq(25)
-1.531 Qeq(26)
-0.637 Qeq(29)
-0.391 Qeq(30)
-0.469 Qeq(31)
-0.224 Qeq(32)
-0.056 Qeq(33)
-0.916 Qeq(34)
-0.224 Qeq(35)
-0.067 Qeq(36)
-0.574 Qeq(38)
GAMS Rev 143 Intel/Linux 05/04/06 13:51:37 Page 10
GAMS/PSAT interface for solving the electricty market problem
Model Statistics SOLVE market Using NLP From line 1243
MODEL STATISTICS
BLOCKS OF EQUATIONS 6 SINGLE EQUATIONS 212
BLOCKS OF VARIABLES 10 SINGLE VARIABLES 261
NON ZERO ELEMENTS 1,339 NON LINEAR N-Z 1,135
DERIVATIVE POOL 25 CONSTANT POOL 291
CODE LENGTH 27,904
GENERATION TIME = 0.042 SECONDS 4 Mb LNX220-143 Jul 27, 2005
EXECUTION TIME = 0.044 SECONDS 4 Mb LNX220-143 Jul 27, 2005
GAMS Rev 143 Intel/Linux 05/04/06 13:51:37 Page 11
GAMS/PSAT interface for solving the electricty market problem
Solution Report SOLVE market Using NLP From line 1243
S O L V E S U M M A R Y
MODEL market OBJECTIVE obj
TYPE NLP DIRECTION MINIMIZE
SOLVER MINOS FROM LINE 1243
**** SOLVER STATUS 1 NORMAL COMPLETION
**** MODEL STATUS 2 LOCALLY OPTIMAL
**** OBJECTIVE VALUE -1.2785
RESOURCE USAGE, LIMIT 0.280 1000.000
ITERATION COUNT, LIMIT 0 50000
EVALUATION ERRORS 0 0
MINOS-Link Aug 1, 2005 LNX.M5.M5 22.0 034.055.041.LX3 GAMS/MINOS 5.51
M I N O S 5.51 (Jun 2004)
GAMS/MINOS 5.51, Large Scale Nonlinear Solver
B. A. Murtagh, University of New South Wales
P. E. Gill, University of California at San Diego,
W. Murray, M. A. Saunders, and M. H. Wright,
Systems Optimization Laboratory, Stanford University
Work space allocated -- 1.32 Mb
EXIT - Optimal Solution found, objective: -1.278496
Major, Minor Iterations 14 0
Funobj, Funcon calls 368 368
Superbasics 2
Aggregations 0
Interpreter Usage 0.22 78.6%
**** ERRORS/WARNINGS IN EQUATION Pijeq(11)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(12)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(15)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(26)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(30)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(39)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
GAMS Rev 143 Intel/Linux 05/04/06 13:51:37 Page 12
GAMS/PSAT interface for solving the electricty market problem
Solution Report SOLVE market Using NLP From line 1243
**** ERRORS/WARNINGS IN EQUATION Pijeq(47)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(48)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(49)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(50)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(51)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(52)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(53)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(54)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(55)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(56)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(57)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(58)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(59)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(60)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(61)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(62)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(63)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pijeq(64)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
GAMS Rev 143 Intel/Linux 05/04/06 13:51:37 Page 13
GAMS/PSAT interface for solving the electricty market problem
Solution Report SOLVE market Using NLP From line 1243
**** ERRORS/WARNINGS IN EQUATION Pijeq(65)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(11)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(12)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(15)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(26)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(30)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(39)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(47)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(48)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(49)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(50)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(51)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(52)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(53)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(54)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(55)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(56)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(57)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
GAMS Rev 143 Intel/Linux 05/04/06 13:51:37 Page 14
GAMS/PSAT interface for solving the electricty market problem
Solution Report SOLVE market Using NLP From line 1243
**** ERRORS/WARNINGS IN EQUATION Pjieq(58)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(59)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(60)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(61)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(62)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(63)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(64)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
**** ERRORS/WARNINGS IN EQUATION Pjieq(65)
1 warning(s): sqrt: GRAD SINGULAR: x = 0
LOWER LEVEL UPPER MARGINAL
---- EQU cost . . . 1.0000
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