An area of an interconnected power system has two fossil-fuel units operating on eco- nomic dispatch. The variable operating costs of these units are given by for 0 < P < 100 MW for P₁ > 100 MW C₁ = 4P₁ +0.02P S 8P₁ C₂ = 0.03Pr where P, and P₂ are in megawatts. Determine the power output of each unit, the in- cremental operating cost, and the total cost CT that minimizes Cy as the load demand Pr varies from 200 to 700 MW. Generating-unit inequalities and transmission losses are neglected. 4

An area of an interconnected power system has two fossil-fuel units operating on eco- nomic dispatch. The variable operating costs of these units are given by for 0 < P < 100 MW for P₁ > 100 MW C₁ = 4P₁ +0.02P S 8P₁ C₂ = 0.03Pr where P, and P₂ are in megawatts. Determine the power output of each unit, the in- cremental operating cost, and the total cost CT that minimizes Cy as the load demand Pr varies from 200 to 700 MW. Generating-unit inequalities and transmission losses are neglected. 4

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

Distribution System

The final stage in the delivery of the electric power is the electric power distribution system. From the transmission system to the individual customers it carries electricity. The distribution system is connected with the transmission system and is used to lower the voltage of the transmission to medium voltage in the range of 2 kV to 35 kV with the help of transformers. This medium voltage to the distribution transformers located near the customer's premises is carried by the primary distribution system lines. These distribution transformers in turn lower the voltage to utilization voltage used in lightings, household appliances, industrial equipments etc. Through secondary distribution lines often several customers are supplied from one transformer. It is through service drops, the commercial and residential customers are connected to the secondary distribution system lines. Customers who demand a larger amount of power can be connected directly to the primary distribution system level or the sub-transmission level.

Question

11.19 An area of an interconnected power system has two fossil-fuel units operating on eco-
nomic dispatch. The variable operating costs of these units are given by
4P, +0.02P; for 0 < P, < 100 MW
C =
8P
for P, > 100 MW
hr
C2= 0.03P
hr
where P, and P2 are in megawatts. Determine the power output of each unit, the in-
cremental operating cost, and the total cost CT that minimizes CT as the load demand
PT varies from 200 to 700 MW. Generating-unit inequalities and transmission losses
are neglected.
11.20 Rework Problem 11.19 if the units are subject to the following inequality constraints:
100 < P, < 500 MW
50 < P; < 300 MW

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