Q3) The ABCD constants of a three phase, 200-mile-long transmission line are: Cosh (81) B-19.43600+j 222.1510 A=D=0.79970+10.02230> Cosh (XL) Co C = -0.0000349+j0.00199 The sending end voltage is (Vs) 244.7765+j98.896 KV, and the receiving end current (IR) is 251.147-j145 A. a) Determine the transmission line characteristic impedance (Zc), phase constant (B), wavelength (2), velocity of propagation (v), propagation constant (y). b) Determine the sending end and receiving end power (i.e. SR & Ss), and the transmission line efficiency (n). Cosh co-79

Q3) The ABCD constants of a three phase, 200-mile-long transmission line are: Cosh (81) B-19.43600+j 222.1510 A=D=0.79970+10.02230> Cosh (XL) Co C = -0.0000349+j0.00199 The sending end voltage is (Vs) 244.7765+j98.896 KV, and the receiving end current (IR) is 251.147-j145 A. a) Determine the transmission line characteristic impedance (Zc), phase constant (B), wavelength (2), velocity of propagation (v), propagation constant (y). b) Determine the sending end and receiving end power (i.e. SR & Ss), and the transmission line efficiency (n). Cosh co-79

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Concept explainers

Distribution System

The final stage in the delivery of the electric power is the electric power distribution system. From the transmission system to the individual customers it carries electricity. The distribution system is connected with the transmission system and is used to lower the voltage of the transmission to medium voltage in the range of 2 kV to 35 kV with the help of transformers. This medium voltage to the distribution transformers located near the customer's premises is carried by the primary distribution system lines. These distribution transformers in turn lower the voltage to utilization voltage used in lightings, household appliances, industrial equipments etc. Through secondary distribution lines often several customers are supplied from one transformer. It is through service drops, the commercial and residential customers are connected to the secondary distribution system lines. Customers who demand a larger amount of power can be connected directly to the primary distribution system level or the sub-transmission level.

Question

Please solve Q3

Q3) The ABCD constants of a three phase, 200-mile-long transmission line are:
A=D=0.79970+j0.02230> Cosh (XL) C
B = 19.43600+j 222.1510
Cosh (81)
C = -0.0000349+j0.00199
The sending end voltage is (Vs) 244.7765+j98.896 KV, and the receiving end current
(IR) is 251.147-j145 A.
a) Determine the transmission line characteristic impedance (Zc), phase constant (B),
wavelength (2), velocity of propagation (v), propagation constant (y).
b) Determine the sending end and receiving end power (i.e. SR & Ss), and the transmission
line efficiency (n).
Cosh (0.7997

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Step 1: Summarize the given information.

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Step 2: Converting ABCD constants into polar form.

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Step 3: Calculation of characteristic impedance, phase constant, wavelength and velocity of propagation.

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Step 4: Calculation of receiving end voltage and sending end current.

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Step 5: Calculation of sending end and receiving end complex powers.

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