6. Transmission Line Models Prof. Mack Grady, TAMU
Description: 6. Transmission Line Models Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 1 Volts per meter for h r. Wire over Earth capacitance 2π 8.854 pF per meter length 55.6 pF meter ln(10000) 9.2, C 6.0 pfm
Related Topics
Download Presentation
"6. Transmission Line Models Prof. Mack Grady, TAMU" is the property of its rightful owner. Permission is granted to download and print the materials on this website for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Presentation Transcript
slide1. 6. Transmission Line Models Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 1 Volts per meter for h >> r. Wire over Earth capacitance 2π • 8.854 pF per meter length = 55.6 pF / meter ln(10000) = 9.2, C = 6.0 pf/m
ln(1000) = 6.9, C = 8.1 pf/m
ln(100) = 4.6, C = 12.1 pf/m Reasonable estimate is 10 pF/m Electric Field<br>
slide2. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 2 Wire over Earth inductance for h >> r. (4π •10-7) / 2π Henries per meter length = 0.2 μH/m ln(10000) = 9.2, L = 1.8 μH/m
ln(1000) = 6.9, L = 1.4 μH/m
ln(100) = 4.6, L = 0.92 μH/m Reasonable estimate is 1 μH/m<br>
slide3. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 3 Figure 8. Equivalent Radius for Three Common Types of Bundled Phase Conductors Symmetric bundles have an equivalent radius<br>
slide4. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 4 Three phases If the transmission line is symmetric, then the “P matrix” has the equal diagonal, equal off-diagonal property that permits 0-1-2 analysis rather than a-b-c analysis<br>
slide5. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 5 If the transmission line is symmetric, then the “L matrix” has the equal diagonal, equal off-diagonal property that permits 0-1-2 analysis rather than a-b-c analysis<br>
slide6. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 6 Summary of Positive/Negative Sequence Capacitance and Inductance Calculations<br>
slide7. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 7 Summary of Positive/Negative Sequence Capacitance and Inductance Calculations<br>
slide8. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 8 Summary of Zero Sequence Capacitance and Inductance Calculations meters<br>
slide9. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 9 Summary of Zero Sequence Capacitance and Inductance Calculations<br>
slide10. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 10 Summary of Zero Sequence Capacitance and Inductance Calculations<br>
slide11. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 11 Ready for Use!<br>
slide12. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 12 345kV Double-Circuit Transmission Line 22.9 m at tower, sags down 10 m at mid-span to 12.9 m. 6. Transmission Line Models, cont. Double conductor phase bundles, bundle radius = 22.9 cm, conductor radius = 1.41 cm, conductor resistance = 0.0728 Ω/km
Single-conductor ground wires, conductor radius = 0.56 cm, conductor resistance = 2.87 Ω/km<br>
ln(1000) = 6.9, C = 8.1 pf/m
ln(100) = 4.6, C = 12.1 pf/m Reasonable estimate is 10 pF/m Electric Field<br>
slide2. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 2 Wire over Earth inductance for h >> r. (4π •10-7) / 2π Henries per meter length = 0.2 μH/m ln(10000) = 9.2, L = 1.8 μH/m
ln(1000) = 6.9, L = 1.4 μH/m
ln(100) = 4.6, L = 0.92 μH/m Reasonable estimate is 1 μH/m<br>
slide3. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 3 Figure 8. Equivalent Radius for Three Common Types of Bundled Phase Conductors Symmetric bundles have an equivalent radius<br>
slide4. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 4 Three phases If the transmission line is symmetric, then the “P matrix” has the equal diagonal, equal off-diagonal property that permits 0-1-2 analysis rather than a-b-c analysis<br>
slide5. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 5 If the transmission line is symmetric, then the “L matrix” has the equal diagonal, equal off-diagonal property that permits 0-1-2 analysis rather than a-b-c analysis<br>
slide6. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 6 Summary of Positive/Negative Sequence Capacitance and Inductance Calculations<br>
slide7. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 7 Summary of Positive/Negative Sequence Capacitance and Inductance Calculations<br>
slide8. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 8 Summary of Zero Sequence Capacitance and Inductance Calculations meters<br>
slide9. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 9 Summary of Zero Sequence Capacitance and Inductance Calculations<br>
slide10. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 10 Summary of Zero Sequence Capacitance and Inductance Calculations<br>
slide11. 6. Transmission Line Models, cont. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 11 Ready for Use!<br>
slide12. Prof. Mack Grady, TAMU Relay Conference Tutorial, Topic 6, March 31, 2015 12 345kV Double-Circuit Transmission Line 22.9 m at tower, sags down 10 m at mid-span to 12.9 m. 6. Transmission Line Models, cont. Double conductor phase bundles, bundle radius = 22.9 cm, conductor radius = 1.41 cm, conductor resistance = 0.0728 Ω/km
Single-conductor ground wires, conductor radius = 0.56 cm, conductor resistance = 2.87 Ω/km<br>