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4.3 Lagrange Relaxation Problem Given the three generating units that follows, F(P,)= 30+10P,+0.002P and 100 S P, 3 600 F,(P,)= 20+8P, +0.0025P and 100S P, S 400 F,(P,) = 10+6P, +0.005P? and 50 SP, S 200 Load: Poad (MW) 1 300 500 3 1100 4 400 No start-up costs; no minimum up- or downtime constraints. a. Solve for the unit commitment by conventional DP. b. Set up and carry out four iterations of the Lagrange relaxation method. Let the initial values of 2 be 0 for t 1...4. %3D

4.3 Lagrange Relaxation Problem Given the three generating units that follows, F(P,)= 30+10P,+0.002P and 100 S P, 3 600 F,(P,)= 20+8P, +0.0025P and 100S P, S 400 F,(P,) = 10+6P, +0.005P? and 50 SP, S 200 Load: Poad (MW) 1 300 500 3 1100 4 400 No start-up costs; no minimum up- or downtime constraints. a. Solve for the unit commitment by conventional DP. b. Set up and carry out four iterations of the Lagrange relaxation method. Let the initial values of 2 be 0 for t 1...4. %3D

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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4.3 Lagrange Relaxation Problem Given the three generating units that follows. F(P) = 30+10P +0.002P and 100 SP, 5 600 F,(P,)= 20+8P, +0.0025P and 100SP, S 400 F,(P,) = 10+6P, +0.005P? and 50 <P, S 200 Load: P' load (MW) 1 300 500 3 1100 4 400 No start-up costs; no minimum up- or downtime constraints. a. Solve for the unit commitment by conventional DP. b. Set up and ! carry out four iterations of the Lagrange relaxation method. Let the initial values of 2 be 0 for t 1...4. %3D
Transcribed Image Text:4.3 Lagrange Relaxation Problem Given the three generating units that follows. F(P) = 30+10P +0.002P and 100 SP, 5 600 F,(P,)= 20+8P, +0.0025P and 100SP, S 400 F,(P,) = 10+6P, +0.005P? and 50 <P, S 200 Load: P' load (MW) 1 300 500 3 1100 4 400 No start-up costs; no minimum up- or downtime constraints. a. Solve for the unit commitment by conventional DP. b. Set up and ! carry out four iterations of the Lagrange relaxation method. Let the initial values of 2 be 0 for t 1...4. %3D
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