For zero power factor lagging, the voltage regulation of a short trans...
For zero power factor lagging, cosϕR=and sinϕR=1 Therefore, voltage regulation = I XL
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For zero power factor lagging, the voltage regulation of a short trans...
Voltage Regulation of a Short Transmission Line with Zero Power Factor Lagging
To understand the voltage regulation of a short transmission line with zero power factor lagging, let's break down the components and concepts involved.
Short Transmission Line:
A short transmission line is typically defined as a transmission line that is less than 250 miles in length. It is characterized by its low impedance and relatively high capacitance, which means it has a low reactance and a high susceptance.
Power Factor Lagging:
Power factor is a measure of how effectively electrical power is being used in a circuit. A lagging power factor indicates that the current lags behind the voltage waveform, which is common in inductive loads. In a lagging power factor, the current waveform lags behind the voltage waveform, resulting in a displacement between them.
Voltage Regulation:
Voltage regulation refers to the ability of a transmission line or system to maintain a steady voltage level at the load, regardless of variations in the load current. It is calculated as the percentage change in voltage from no-load to full-load conditions.
Calculation:
To calculate the voltage regulation of a short transmission line with zero power factor lagging, we need to consider the inductive reactance (XL) and resistance (R) of the line.
The formula for voltage regulation is given as:
Voltage Regulation = (Vno-load - Vfull-load) / Vfull-load * 100
In a short transmission line with zero power factor lagging, the reactive component (XL) dominates, while the resistive component (R) is relatively small. As a result, the voltage drop across the inductive reactance (IXL) is the primary factor in the voltage regulation.
Therefore, the correct answer is option 'A': IXL.
The voltage regulation of a short transmission line with zero power factor lagging is primarily determined by the product of the load current (I) and the inductive reactance (XL). This is because the reactive component dominates in this scenario, causing a significant voltage drop across the inductive reactance.