Circulating Current Across Reactor Under Dual Converter Calculator

Formula Used:

\[ i_c = \frac{1}{\omega_{dual} \cdot L_{r_{dual}}} \cdot \int_{(\alpha1_{dual} + \frac{\pi}{6})}^{(\omega_{dual} \cdot t_{dual})} e_R dx \]

Angular Frequency (ω):

rad/s

Circulating Current Reactor (Lr):

Instantaneous Voltage Across Reactor (eR):

Delay Angle of First Converter (α1):

rad

Time (t):

Circulating Current (ic):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Circulating Current Across Reactor Under Dual Converter?

The Circulating Current flows between the Rectifier and the Inverter through the DC link Reactor, compensating for the Phase difference and stabilizing the DC link Voltage in dual converter systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ i_c = \frac{1}{\omega_{dual} \cdot L_{r_{dual}}} \cdot \int_{(\alpha1_{dual} + \frac{\pi}{6})}^{(\omega_{dual} \cdot t_{dual})} e_R dx \]

Where:

\( i_c \) — Circulating Current (A)
\( \omega_{dual} \) — Angular Frequency (rad/s)
\( L_{r_{dual}} \) — Circulating Current Reactor (H)
\( e_R \) — Instantaneous Voltage across Reactor (V)
\( \alpha1_{dual} \) — Delay Angle of First Converter (rad)
\( t_{dual} \) — Time (s)
\( \pi \) — Archimedes' constant (3.14159)

Explanation: The formula calculates the circulating current by integrating the instantaneous voltage across the reactor over a specific time interval determined by the delay angle and angular frequency.

3. Importance of Circulating Current Calculation

Details: Accurate circulating current calculation is crucial for maintaining stable DC link voltage, preventing overcurrent conditions, and ensuring proper operation of dual converter systems.

4. Using the Calculator

Tips: Enter angular frequency in rad/s, circulating current reactor in Henry, instantaneous voltage in volts, delay angle in radians, and time in seconds. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the purpose of the circulating current reactor?
A: The circulating current reactor limits and controls the circulating current between converters, providing smooth current transition and voltage stabilization.

Q2: How does the delay angle affect circulating current?
A: The delay angle determines the starting point of the integration interval, directly influencing the magnitude of the circulating current.

Q3: What are typical values for circulating current?
A: Circulating current values vary based on system design but are typically maintained at 10-20% of the rated converter current.

Q4: When is this calculation most important?
A: This calculation is critical during dual converter operation, especially during mode transitions and when maintaining continuous current flow.

Q5: What assumptions are made in this calculation?
A: The calculation assumes constant instantaneous voltage across the reactor during the integration period and ideal converter operation.