Sending End Voltage using Sending End Power (STL) Calculator

Formula Used:

\[ V_s = \frac{P_s}{3 \times I_s \times \cos(\Phi_s)} \]

Sending End Power (Ps):

Watt

Sending End Current (Is):

Ampere

Sending End Phase Angle (Φs):

Radian

Sending End Voltage (Vs):

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1. What is Sending End Voltage using Sending End Power (STL)?

The Sending End Voltage calculation using Sending End Power in Short Transmission Lines (STL) determines the voltage at the sending end of a transmission line based on the power, current, and phase angle at that end. This is crucial for power system analysis and stability studies.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_s = \frac{P_s}{3 \times I_s \times \cos(\Phi_s)} \]

Where:

\( V_s \) — Sending End Voltage (Volt)
\( P_s \) — Sending End Power (Watt)
\( I_s \) — Sending End Current (Ampere)
\( \Phi_s \) — Sending End Phase Angle (Radian)

Explanation: The formula calculates the sending end voltage by dividing the sending end power by the product of 3 times the sending end current and the cosine of the sending end phase angle.

3. Importance of Sending End Voltage Calculation

Details: Accurate calculation of sending end voltage is essential for power system planning, voltage regulation, and ensuring efficient power transmission in short transmission lines.

4. Using the Calculator

Tips: Enter sending end power in watts, sending end current in amperes, and sending end phase angle in radians. All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: Why is the cosine function used in this formula?
A: The cosine function represents the power factor, which is the ratio of real power to apparent power in AC circuits.

Q2: What is the typical range for sending end voltage in transmission systems?
A: Sending end voltage typically ranges from 110kV to 765kV in modern transmission systems, depending on the system design.

Q3: How does phase angle affect the sending end voltage?
A: The phase angle difference between voltage and current affects the power factor, which directly influences the voltage calculation.

Q4: Are there limitations to this calculation method?
A: This formula assumes balanced three-phase systems and may not account for line losses or reactive power components in more complex scenarios.

Q5: Can this calculator be used for long transmission lines?
A: This specific formula is designed for short transmission lines. Long transmission lines require additional considerations for distributed parameters.