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The capacitance using surge impedance formula calculates the capacitance in a long transmission line based on the inductance and surge impedance. This relationship is fundamental in power system analysis and transmission line modeling.
The calculator uses the formula:
Where:
Explanation: This formula establishes the relationship between capacitance, inductance, and surge impedance in long transmission lines, where surge impedance is defined as the ratio of voltage to current at any point along an infinitely long line.
Details: Accurate capacitance calculation is crucial for power system stability analysis, fault current calculations, insulation coordination, and determining the electrical characteristics of transmission lines.
Tips: Enter inductance in Henry and surge impedance in Ohm. All values must be positive and non-zero for accurate calculation.
Q1: What is surge impedance in transmission lines?
A: Surge impedance is the characteristic impedance of a transmission line, defined as the ratio of voltage to current for a wave propagating along the line.
Q2: Why is this formula specific to long transmission lines?
A: This relationship holds true for long transmission lines where distributed parameter analysis is required, as opposed to short lines where lumped parameter analysis suffices.
Q3: What are typical values for surge impedance?
A: For overhead transmission lines, surge impedance typically ranges from 200-600 ohms, while for underground cables it's usually 30-60 ohms.
Q4: How does temperature affect these calculations?
A: Temperature affects the physical properties of conductors, which can influence both inductance and capacitance values, though the fundamental relationship remains valid.
Q5: Can this formula be used for DC transmission lines?
A: While the formula is derived from AC analysis concepts, the relationship between these parameters remains valid for DC transmission line analysis as well.