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A 350-km, 500-kV, 60-Hz, three-phase uncompensated line has a positive- sequence series reactance x = 0.34 /km and a positive-sequence shunt admittance y = j4.5 x 10-6 S/km. Neglecting losses, calculate: (a) Z. (b) yl, (c) the ABCD parameters, (d) the wavelength of the line in kilo- meters, and (e) the surge impedance loading in MW. Determine the equivalent circuit for the line in Problem 5.26.

A 350-km, 500-kV, 60-Hz, three-phase uncompensated line has a positive- sequence series reactance x = 0.34 /km and a positive-sequence shunt admittance y = j4.5 x 10-6 S/km. Neglecting losses, calculate: (a) Z. (b) yl, (c) the ABCD parameters, (d) the wavelength of the line in kilo- meters, and (e) the surge impedance loading in MW. Determine the equivalent circuit for the line in Problem 5.26.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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The problem 5.26 is the problem above in the picture. 

**Transmission Line Analysis** A 350-km, 500-kV, 60-Hz, three-phase uncompensated line has a positive-sequence series reactance \( x = 0.34 \Omega/\text{km} \) and a positive-sequence shunt admittance \( y = j4.5 \times 10^{-6} \, \text{S/km} \). Neglecting losses, calculate: 1. **Characteristic Impedance (Z₀)** 2. **Propagation Constant (γl)** 3. **ABCD Parameters** 4. **Wavelength (λ) of the Line in Kilometers** 5. **Surge Impedance Loading (SIL) in Megawatts (MW)** **Problem Details to Calculate:** - (a) \( Z_0 \) - (b) \( \gamma l \) - (c) The \( ABCD \) parameters - (d) The wavelength \( \lambda \) of the line in kilometers - (e) The surge impedance loading in MW Additionally, determine the equivalent π circuit for the line presented in Problem 5.26. **Note:** A thorough understanding of transmission line theory, including the use of complex numbers for reactance and admittance, is essential for solving these problems. Ensure familiarity with formulas for characteristic impedance, propagation constant, and methods for deriving \( ABCD \) parameters.
Transcribed Image Text:**Transmission Line Analysis** A 350-km, 500-kV, 60-Hz, three-phase uncompensated line has a positive-sequence series reactance \( x = 0.34 \Omega/\text{km} \) and a positive-sequence shunt admittance \( y = j4.5 \times 10^{-6} \, \text{S/km} \). Neglecting losses, calculate: 1. **Characteristic Impedance (Z₀)** 2. **Propagation Constant (γl)** 3. **ABCD Parameters** 4. **Wavelength (λ) of the Line in Kilometers** 5. **Surge Impedance Loading (SIL) in Megawatts (MW)** **Problem Details to Calculate:** - (a) \( Z_0 \) - (b) \( \gamma l \) - (c) The \( ABCD \) parameters - (d) The wavelength \( \lambda \) of the line in kilometers - (e) The surge impedance loading in MW Additionally, determine the equivalent π circuit for the line presented in Problem 5.26. **Note:** A thorough understanding of transmission line theory, including the use of complex numbers for reactance and admittance, is essential for solving these problems. Ensure familiarity with formulas for characteristic impedance, propagation constant, and methods for deriving \( ABCD \) parameters.
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