Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
If L, C and Y are inductance, capacitance and shunt admittance of a line for unit length then for length l
Shunt admittance is Yl
Inductance is L/l
Capacitance is C/l
Shunt admittance is Y/l
Shunt admittance is Yl
In transmission line modeling, parameters like inductance (L), capacitance (C), and shunt admittance (Y) are defined as 'per unit length' (e.g., H/m, F/m, or S/m). To find the total value for a transmission line of total length 'l', one must multiply the per-unit value by the total length, assuming the distribution is uniform.
In transmission line modeling, parameters like inductance (L), capacitance (C), and shunt admittance (Y) are defined as 'per unit length' (e.g., H/m, F/m, or S/m). To find the total value for a transmission line of total length 'l', one must multiply the per-unit value by the total length, assuming the distribution is uniform.
ZtotalтАЛ=(r+j╧ЙL)l тАФ Total series impedance for length l
YtotalтАЛ=(g+j╧ЙC)l=Yl тАФ Total shunt admittance for length l
The transmission line is treated as a distributed parameter network. If Y is the shunt admittance per unit length, the total admittance Y_{total} is the integral of admittance over length, which simplifies to Y_{total} = Y ├Чlfor uniform lines.
Parameters L, C, R, and G are given in 'per unit length' for standard line calculations.
Multiplying by length 'l' scales these parameters for the entire physical line segment.
For short lines, these are treated as lumped parameters; for long lines, distributed analysis is used.
Simplifies calculations for variable length transmission lines.
Standardizes reporting of line properties regardless of physical size.
Does not account for non-uniform line properties (e.g., varying conductor cross-section).
May require complex integration if parameters vary with position x.
Power system modeling and stability studies.
Calculation of ABCD parameters for transmission network analysis.
Total Inductance (LtotalтАЛ) = L * l
Total Capacitance (CtotalтАЛ) = C * l
Options B, C, and D are incorrect because they suggest dividing by length, which would imply the parameter is 'per total segment' rather than 'per unit length'.
A is correct тАФ The shunt admittance for a line of length l is obtained by multiplying the per-unit length admittance Y by the total length l.
Always verify if the question asks for 'total' value or 'per unit' value to avoid multiplying/dividing by length incorrectly in Power System problems.