Q5. Consider there are 2 generators feeding a load of 375 MW. The fuel-cost function ($/h) of each unit is given below, where the active power P is expressed in MW. C₁ = 40P₁ +2P₁² C₂ = 12P₂ +3P₂² The inequality constraint equations for the generators are given as; P₁ ≤ 250MW P₂ ≤ 350MW Find, a) The optimum generations of generator 1 and 2. b) The minimized total generation cost of the system.

Q5. Consider there are 2 generators feeding a load of 375 MW. The fuel-cost function ($/h) of each unit is given below, where the active power P is expressed in MW. C₁ = 40P₁ +2P₁² C₂ = 12P₂ +3P₂² The inequality constraint equations for the generators are given as; P₁ ≤ 250MW P₂ ≤ 350MW Find, a) The optimum generations of generator 1 and 2. b) The minimized total generation cost of the system.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.31P: Consider two interconnected voltage sources connected by a line of impedance Z=jX, as shown in...

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