EEE471Ch5

EEE471Ch5 - Transmission Line Steady State Operation...

Info iconThis preview shows pages 1–11. Sign up to view the full content.

View Full Document Right Arrow Icon
Transmission Line Steady State Operation Chapter 5
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2 Modeling and Operation of Transmission Lines Transmission line modeling as a 2-port network at terminals I S I R E S E R Model is valid for: Linear, passive, bilateral networks Special class of circuits where the 4 terminal conditions can be related by 4 parameters, which we refer to as A, B, C, and D.
Background image of page 2
3 4 Terminal Networks Positive sequence circuits: balanced, lines transposed, currents balanced, voltages balanced, etc. For this type of circuit: V S = AV R + BI R and AD-BC = 1 I S = CV R + DI R In matrix form: = R R S S I V D C B A I V The relationships above can be in either volts, amps, ohms and Siemens, or per unit. S S = V S I S * and S R = V R I R * in per unit
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
4 4 Terminal Networks E R E S I S I R A B C D Each type of passive system element can be represented by a 4 Terminal Network Adjacent 4 Terminal Networks can be combined as shown in Figure 5.4 on Page 239
Background image of page 4
5 4 Terminal Networks
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
6 A B C D Constants for Transmission Lines We will consistently use : z = r + jωL series impedance in Ω or pu per unit length y = g + jωC Shunt admittance in S or pu per unit length Z = z Total series impedance for line of length Y = y Total shunt admittance for line of length Type of transmission line model depends on length: Short: 0 – 50 miles neglect shunt capacitance Medium: 50 – 150 miles approximate Long: > 150 miles accurate
Background image of page 6
7 A B C D Constants for Transmission Lines Short line: A = D = 1 B = Z C = 0 Short line 0 – 50 miles : neglect shunt elements Z = z E S E R I S I R I S = I R E S = E R + Z I R = R R S S I E Z I E 1 0 1 D C B A
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
8 A B C D Constants for Transmission Lines Z Y/2 Y/2 I S I R E S E R π Z/2 Y I S I R E S E R Z/2 T Medium length line (50-150 miles) Approximate
Background image of page 8
9 ABCD Constants for Medium Length Line Z Y/2 Y/2 I S I R E S E R I’ E S = AE R + BI R I S = CE R + DI R R R R R R R S ZI E ZY I Y E Z E ZI E E + + = + + = + = 2 1 2 ' R R R R S S I Y E I ZY Y ZY E I Y E I + + + + = + = 2 2 2 2 1 ' 2 R R R R S S I ZY YE ZY ZY I Y ZY E I Y E I + + + = + + + = + = 2 1 4 1 2 1 2 2 2 ' 2
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
10 ABCD Constants for Medium Length Line Z Y/2 Y/2 I S I R V S V R I’ E S = AE R + BI R I S = CE R + DI R R R R R R R S ZI E ZY I Y E Z E ZI E E + + = + + = + = 2 1 2 ' R R R R S S I Y E I ZY Y ZY E I Y E I + + + + = + = 2 2 2 2 1 ' 2 R R R R S S I ZY YE ZY ZY I Y ZY E I Y E I + + + = + +
Background image of page 10
Image of page 11
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/21/2010 for the course EEE ??? taught by Professor Farmer during the Spring '10 term at ASU.

Page1 / 42

EEE471Ch5 - Transmission Line Steady State Operation...

This preview shows document pages 1 - 11. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online