b) Two synchronous generators, G2 and G2, are connected parallelly supplying a load. Generator G1 has a no-load frequency of 50.5 Hz and a slope of 300 MW/Hz. Generator G2 has a no-load frequency of 50.2 Hz and a slope of 500 MW/Hz. The load consumes 250 MW real power. (i) At what frequency does this system operate, and how much power is supplied by each of the two generators? (ii) An additional 100 MW load is added to this power system. What is the new system frequency, and how much power do G1 and G2 supply? The governor set point of G2 is changed to control system frequency back to 50 Hz. Determine the G2 governor set point.

b) Two synchronous generators, G2 and G2, are connected parallelly supplying a load. Generator G1 has a no-load frequency of 50.5 Hz and a slope of 300 MW/Hz. Generator G2 has a no-load frequency of 50.2 Hz and a slope of 500 MW/Hz. The load consumes 250 MW real power. (i) At what frequency does this system operate, and how much power is supplied by each of the two generators? (ii) An additional 100 MW load is added to this power system. What is the new system frequency, and how much power do G1 and G2 supply? The governor set point of G2 is changed to control system frequency back to 50 Hz. Determine the G2 governor set point.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

Load flow analysis

Load flow analysis is a study or numerical calculation of the power flow of power in steady-state conditions in any electrical system. It is used to determine the flow of power (real and reactive), voltage, or current in a system under any load conditions.

Nodal Matrix

The nodal matrix or simply known as admittance matrix, generally in engineering term it is called Y Matrix or Y bus, since it involve matrices so it is also referred as a n into n order matrix that represents a power system with n number of buses. It shows the buses' nodal admittance in a power system. The Y matrix is rather sparse in actual systems with thousands of buses. In the power system the transmission cables connect each bus to only a few other buses. Also the important data that one needs for have a power flow study is the Y Matrix.

Types of Buses

A bus is a type of system of communication that transfers data between the components inside a computer or between two or more computers. With multiple hardware connections, the earlier buses were parallel electrical wires but the term "bus" is now used for any type of physical arrangement which provides the same type of logical functions similar to the parallel electrical bus. Both parallel and bit connections are used by modern buses. They can be wired either electrical parallel or daisy chain topology or are connected by hubs which are switched same as in the case of Universal Serial Bus or USB.

Question

Q2.
a)
A 415V, 50Hz, 3-phase induction motor supplies its rated power to a load.
The rated speed of the motor is 980 rpm.
b)
Two synchronous generators, G2 and G2, are connected parallelly
supplying a load. Generator G1 has a no-load frequency of 50.5 Hz and a
slope of 300 MW/Hz. Generator G2 has a no-load frequency of 50.2 Hz and
a slope of 500 MW/Hz. The load consumes 250 MW real power.
(i)
At what frequency does this system operate, and how much power is
supplied by each of the two generators?
(ii) An additional 100 MW load is added to this power system. What is
the new system frequency, and how much power do G1 and G2
supply?
(iii) The governor set point of G2 is changed to control system frequency
back to 50 Hz. Determine the G2 governor set point.

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