Active Power By Infinite Bus Calculator

Active Power By Infinite Bus Formula:

\[ P_{inf} = \frac{V^2}{\sqrt{R^2 + X_s^2}} - \frac{V^2}{R^2 + X_s^2} \]

Active Power of Infinite Bus (Pinf):

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1. What is the Active Power By Infinite Bus Formula?

The Active Power By Infinite Bus formula calculates the active power delivered by an infinite bus system, which is considered to be an idealized power source that maintains constant voltage regardless of the amount of power injected or withdrawn from the bus.

2. How Does the Calculator Work?

The calculator uses the Active Power By Infinite Bus formula:

\[ P_{inf} = \frac{V^2}{\sqrt{R^2 + X_s^2}} - \frac{V^2}{R^2 + X_s^2} \]

Where:

\( P_{inf} \) — Active Power of Infinite Bus (Watt)
\( V \) — Voltage of Infinite Bus (Volt)
\( R \) — Resistance (Ohm)
\( X_s \) — Synchronous Reactance (Ohm)

Explanation: This formula accounts for both the resistive and reactive components in the system to determine the active power delivered by the infinite bus.

3. Importance of Active Power Calculation

Details: Accurate active power calculation is crucial for power system analysis, stability studies, and determining the power flow in electrical networks with infinite bus systems.

4. Using the Calculator

Tips: Enter voltage in volts, resistance in ohms, and synchronous reactance in ohms. All values must be valid (voltage > 0, resistance and reactance ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: What is an infinite bus in power systems?
A: An infinite bus is an idealized concept representing a power source with constant voltage and infinite power capacity, unaffected by changes in load or generation.

Q2: Why is synchronous reactance important in this calculation?
A: Synchronous reactance represents the internal reactance of synchronous machines and significantly affects the power transfer capability and system stability.

Q3: What are typical values for these parameters?
A: Voltage typically ranges from 110V to 765kV depending on the system, resistance is usually small, and synchronous reactance values vary based on machine design.

Q4: Are there limitations to this formula?
A: This formula assumes ideal conditions and may need adjustments for real-world systems with losses, nonlinearities, and dynamic conditions.

Q5: How does this relate to power system stability?
A: Active power calculations are fundamental to stability analysis, helping determine the maximum power transfer capability and system operating limits.