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Equivalent Circuit Construction of Common Mode Choke Coils (Practice)

Here, we follow the construction procedures indicated in Equivalent Circuit Construction for Common Mode Choke Coils (Theory). (Sample used: Part number LDFL002302LS-V0E)
1. Obtain resistance and stray capacitance that become iron loss
As shown in the figure below, connect both ends of the primary and secondary windings together, then connect to an impedance analyzer and measure the impedance.
Wiring for impedance measurement

Find C, R, Lo indicated in STEP 1 of Equivalent Circuit Construction for Common Mode Choke Coils (Theory).
  C
R
Lo
Measured value 4.2pF 5.8kΩ 15mH
Circuit input value *2.1pF (1/2 times) *11.6kΩ (2 times) 15mH

*: Calculation for distributing the measured value to the primary and secondary coils

2. Leakage inductance frequency characteristics
As shown below, short the winding on one side (secondary side), connect the winding on the primary side to the impedance analyzer, and measure the leakage inductance value Lℓeak.
Wiring for leakage inductance measurement
Find Lℓeak in STEP 2 of Equivalent Circuit Construction for Common Mode Choke Coils (Theory).
  Lℓeak
Measured value Ls=11μH
Leakage inductance *5.5μH (1/2 times)

*: Calculation for distributing the measured value to the primary and secondary coils

The figure below shows the actual impedance characteristics. The impedance of ideal inductance exhibits characteristics proportional to frequency up to an infinite frequency, but in reality the impedance drops below a certain frequency.
Example of actual impedance characteristics
This indicates a high frequency impedance drop due to stray capacitance in the winding. Also, an anti-resonance point occurs around 33MHz due to the leakage inductance and the stray capacitance of the winding.
3. DC Resistance of Wiring
With the secondary side open, use a mΩ meter to measure the D.C.R. portion for both ends of the primary coil.
Wiring for DC resistance measurement
Calculate the DCR in STEP 3 of Equivalent Circuit Construction for Common Mode Choke Coils (Theory).
  DCR
Measured value 60mΩ
Circuit input value *30mΩ (1/2 times)

*: Calculation for distributing to both ends of the coil

4. Consideration of Common Mode Impedance
Due to the presence of resistance that becomes iron loss, winding capacitance, and leakage inductance, the frequency characteristics of the impedance shown below allow the dominant component to be inferred based on frequency.
Dominant components at each frequency
5. How to configure the coupling coefficient k
From the leakage inductance Lℓeak, the coupling coefficient k is shown by the following formula in STEP 2 of Equivalent Circuit Construction for Common Mode Choke Coils (Theory).
Ls
: Inductance measured from the primary coil when the secondary coil is shorted
Lo
: Inductance for one circuit (including leakage inductance)
Note that the leakage inductance Lℓeak has frequency characteristics. Also, the coupling coefficient k has the frequency characteristics shown in the figure below. To find the optimum coupling coefficient k, you need to use leakage inductance values at stable frequencies (for example, up to 100 kHz).
Frequency characteristics of coupling coefficient

The coupling coefficient k is the most important parameter for understanding the characteristics of common mode choke coils.

6. Completion of equivalent circuit of LDFL002302LS-V0E
We created an equivalent circuit based on the actual frequency characteristics of LDFL002302LS-V0E. (Based on Equivalent Circuit Construction for Common Mode Choke Coils (Theory))
Each component Circuit Numerical value (input values)
stray capacitance C 2.1pF
iron loss (Loss of magnetic material) R 11.6kΩ
Self-inductance Lo 15.0mH
coupling coefficient k 0.9996333
copper loss (Loss of wire) DCR 30mΩ
Dummy resistance Rd 1GΩ
Completed equivalent circuit
7. Actual measurement and simulation comparison
Comparing the simulation in the above equivalent circuit model and the measured common mode impedance, as shown below, the results are almost identical.
Comparison of common mode impedance between simulation and actual measurement in equivalent circuit model
8. Equivalent Circuit Model Verification Summary
When constructing a common mode choke coil equivalent circuit, it is possible to construct a practical circuit model by accurately obtaining the presence of resistance, winding capacitance, and leakage inductance, which are core losses, and their numerical values.

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