Instantaneous Circulating Current Calculator

Instantaneous Circulating Current Dual Converter Formula:

\[ i_r(dual) = \frac{2 \times V_{in}(dual) \times (\cos(\omega(dual) \times t(dual)) - \cos(\alpha_1(dual)))}{\omega(dual) \times L_r(dual)} \]

Peak Input Voltage Dual Converter (V_in(dual)):

Angular Frequency (ω(dual)):

rad/s

Time (t(dual)):

Delay Angle of First Converter (α₁(dual)):

rad

Circulating Current Reactor (L_r(dual)):

Instantaneous Circulating Current Dual Converter (i_r(dual)):

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1. What is Instantaneous Circulating Current Dual Converter?

Instantaneous Circulating Current Dual Converter refers to the undesired current flow between the rectifier and inverter when their output voltages are not perfectly matched in a dual converter system.

2. How Does the Calculator Work?

The calculator uses the instantaneous circulating current formula:

\[ i_r(dual) = \frac{2 \times V_{in}(dual) \times (\cos(\omega(dual) \times t(dual)) - \cos(\alpha_1(dual)))}{\omega(dual) \times L_r(dual)} \]

Where:

\( i_r(dual) \) — Instantaneous circulating current dual converter (A)
\( V_{in}(dual) \) — Peak input voltage dual converter (V)
\( \omega(dual) \) — Angular frequency (rad/s)
\( t(dual) \) — Time (s)
\( \alpha_1(dual) \) — Delay angle of first converter (rad)
\( L_r(dual) \) — Circulating current reactor (H)

Explanation: The formula calculates the instantaneous circulating current based on input voltage, angular frequency, time, delay angle, and reactor inductance.

3. Importance of Instantaneous Circulating Current Calculation

Details: Accurate calculation of instantaneous circulating current is crucial for analyzing and controlling power flow in dual converter systems, preventing equipment damage, and ensuring efficient operation.

4. Using the Calculator

Tips: Enter all values in their respective units. Peak input voltage, angular frequency, and circulating current reactor must be positive values. Time and delay angle must be non-negative values.

5. Frequently Asked Questions (FAQ)

Q1: What causes circulating current in dual converters?
A: Circulating current occurs when there's a voltage difference between the output terminals of the two converters in a dual converter system.

Q2: How can circulating current be minimized?
A: Circulating current can be minimized by using proper control strategies, matching converter parameters, and employing circulating current reactors.

Q3: What is the purpose of the circulating current reactor?
A: The circulating current reactor limits the magnitude of circulating current and provides impedance to control its flow.

Q4: How does delay angle affect circulating current?
A: The delay angle determines the phase relationship between converter outputs, which directly influences the magnitude of circulating current.

Q5: When is instantaneous circulating current calculation most important?
A: This calculation is particularly important during transient conditions, startup, and when analyzing system stability in dual converter applications.