Given two thermal generating units with the following polynomial cost functions:Coal Fired: F₁ (P₁) = 50+2P₁ +0.02P2$/h; 40MW < P < 200MWGas Fired: VF₂(P₂) = 50+ P₂ +0.04P2$/h; 60MW

Given data:- The cost function of the coal-fired plant is, F1P1=50+2P1+0.02P12 and The cost…

Answered: Given two thermal generating units with…

Given two thermal generating units with the following polynomial cost functions: Coal Fired: F₁ (P₂)-50 +2P +0.02P28/h; 40MW

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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Concept explainers

Electrical Heating Unit

The conversion of electrical energy to heat energy is known as electric heating. The heating system that converts the electrical energy to heat energy for various application is called electrical heating unit. Electricity is employed as the firing mechanism in electric heating systems, which transforms electric current to heat. Electric heaters have heating elements in the form of electric resistors.

Question

Given two thermal generating units with the following polynomial cost functions:
Coal Fired: F₁ (P₁) = 50+2P₁ +0.02P2$/h; 40MW < P < 200MW
Gas Fired: VF₂(P₂) = 50+ P₂ +0.04P2$/h; 60MW <P₂ <250MW V
In an economic dispatch, if the load is reduced to 180 MW, which case is cheaper?
Select one:
O a. Unit 1 is OFF, and P₂ = 180 MW
O b.
P₁ = 111.67 MW, P₂ = 68.33 MW.
C.
P₁ = 180 MW, and unit 2 is OFF.
O d. None of these
O e.F - 120 MW, P₂ = 60 MW.
O f.P₁ = 114 MW, P₂ = 66 MW.

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