×
The future belongs to those who believe in the beauty of their dreams.
--Your friends at LectureNotes
Close

Note of THREE PHASE POWER by Ramsevak Mahato

  • Other
  • 36 Views
  • Uploaded 1 year ago
0 User(s)
Download PDFOrder Printed Copy

Share it with your friends

Leave your Comments

Text from page-1

BALANCED THREE-PHASE CIRCUITS The voltages in the three-phase power system are produced by a synchronous generator (Chapter 4). In a balanced system, each of the three instantaneous voltages have equal amplitudes but are separated from the other voltages by a phase angle of 120o. The three voltages (or phases) are typically labeled a, b and c. The common reference point for the three phase voltages is designated as the neutral connection and is labeled as n. We may define either a positive phase sequence (abc) or a negative phase sequence (acb) as shown below. The three sources Van, Vbn and Vcn are designated as the line-to-neutral voltages in the three-phase system.

Text from page-2

LINE-TO-LINE VOLTAGES An alternative way of defining the voltages in a balanced three-phase system is to define the voltage differences between the phases. These voltages are designated as line-to-line voltages. The line-to-line voltages can be expressed in terms of the line-to-neutral voltages by applying Kirchoff’s voltage law to the generator circuit, which yields Inserting the line-to-neutral voltages for a positive phase sequence into the line-to-line equations yields

Text from page-3

If we compare the line-to-neutral voltages with the line-to-line voltages, we find the following relationships, Line-to-neutral voltages Line-to-line voltages

Text from page-4

Line-to-line voltages in terms of line-to-neutral voltages The equations above show that the magnitudes of the line-to-line voltages 3 in a balanced three-phase system with a positive phase sequence are %& times the corresponding line-to-neutral voltages and lead these voltages by 30o.

Lecture Notes