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Effect of capacitance on performance of the short transmission lines is extremely small due to ________
  • a)
    Smaller length and high operating voltage.
  • b)
    Low Operating voltage and smaller length.
  • c)
    Low Operating voltage and high charging current.
  • d)
    Larger length and low operating voltage
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Effect of capacitance on performance of the short transmission lines i...
Short Transmission Line:
When the length of the overhead transmission line is up to about 50 km and the line voltage is comparatively up to 20 kV.
Due to smaller lengths and lower voltage, the capacitance effect is small and maybe neglected, and hence Shunt admittance too.
Considered a short transmission line of resistance R and Reactance XL over a length.

Vs is the sending end voltage
VR is the receiving end voltage
I is the load current.
cos ϕR is receiving end power factor
and, cos ϕs is sending end power factor
The phasor diagram of the system can be drawn by taking load current as a reference,

From the phasor,
(OC)2 = (OD)2 + (DC)2
(OC)2 = (OE + ED)2 + (DB + BC)2
V2S = (VR cos ϕR + IR)2 + (VR sin ϕR + IXL)2  
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Effect of capacitance on performance of the short transmission lines i...
Effect of capacitance on performance of short transmission lines

Introduction:
Short transmission lines refer to power lines that are relatively shorter in length compared to long transmission lines. Capacitance is an inherent property of transmission lines and it affects their performance in various ways. However, when it comes to short transmission lines, the effect of capacitance on their performance is extremely small. This can be attributed to low operating voltage and smaller length.

Explanation:
1. Capacitance and its impact:
- Capacitance is a property of any two conductive objects separated by an insulating medium.
- In the case of transmission lines, the conductive objects are the conductors themselves, and the insulating medium is the surrounding air or insulation material.
- Capacitance exists between the conductors and between the conductors and the ground.
- The capacitance of a transmission line depends on factors such as conductor spacing, length, and dielectric constant of the insulating medium.

2. Performance of short transmission lines:
- Short transmission lines have relatively smaller lengths compared to long transmission lines.
- Due to their shorter length, the amount of capacitance in short transmission lines is relatively low.
- The effect of capacitance on the performance of a transmission line is determined by factors such as voltage drop, power factor, and impedance.
- In the case of short transmission lines, the impact of capacitance on these factors is minimal.

3. Low operating voltage:
- Short transmission lines typically operate at lower voltage levels compared to long transmission lines.
- The lower operating voltage results in a smaller charging current, which is the current required to charge the capacitance of the transmission line.
- The charging current is proportional to the capacitance and the rate of change of voltage.
- Since the operating voltage is low in short transmission lines, the charging current is also low, reducing the impact of capacitance on the overall performance.

4. Smaller length:
- The length of a transmission line affects the total amount of capacitance.
- Short transmission lines have shorter lengths, resulting in reduced capacitance.
- The smaller length of the transmission line reduces the overall effect of capacitance on performance.

Conclusion:
In conclusion, the effect of capacitance on the performance of short transmission lines is extremely small due to the combination of low operating voltage and smaller length. These factors result in a lower charging current and reduced capacitance, minimizing the impact on voltage drop, power factor, and impedance.
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it depends on the length of the conductor the capacitance of the line is proportional to the length of the transmission line their effect is negligible on the performance of short having a length less than 80 km and low voltage transmission accidents of the transmission line along with the conductances forms the shunted mittens the conductance and the transmission line is because of the leakage over the surface of the conductor considered a line consisting of two conductors and be each of radius are the distance between the conductors being Des shown in the diagram below minus the potential difference between the conductors and via's work QA charge on conductor QB charge on conductor vvab pencil difference between conductor and the Epsilon minus absolute primitivity QA plus QV = 0 so that QA equals QB - equals DBA equals data equals DB equals our substituting these values and voltage equation we get the capacitance between the conductors is cab is referred to as lying to line capacitance if the two conductors are in VR oppositely charge then the potential difference between them is zero then the potential of each conductor is given by one half bath the capacitance between each conductor and point of zero potential and is capacitive CN is called the capacitance to neut or capacitance to ground capacitance cab is the combination of two equal capacity and VN series thus capacitance to neutral is twice the capacitance between the conductors IE CN equals to Cave the absolute primitivity Epsilon is given by Epsilon equals epsilono Epsilon are where epsilano is the permittivity of the free space and Epsilon or is the relative primitivity of the medium prayer capacitance reactants between one conductor and neutral capacitance of the symmetrical three phase line let a balanced system of voltage be applied to a symmetrical three-phase line shown below the phasor diagram of the three phase line with equilateral spacing is shown below take the voltage of conductor to neutral as a reference phaser the potential difference between conductor and we can be written the similarly potential difference between conductors and sea is on adding equations one and two we get also combining equation three and four from equation 6 and 7 the line to neutral capacitance the capacitance of symmetrical three phase line is same as that of the two wire line Related: Capacitance of Transmission Lines?

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Effect of capacitance on performance of the short transmission lines is extremely small due to ________a)Smaller length and high operating voltage.b)Low Operating voltage and smaller length.c)Low Operating voltage and high charging current.d)Larger length and low operating voltageCorrect answer is option 'B'. Can you explain this answer?
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