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About the CLN Method
Coil homogenization by CLN method
Application of the CLN method to contactless power transfer systems
This is an example of creating an equivalent circuit of an inductor using the CLN method and simulating a DC-DC converter circuit using it. Since a frequency-dependent equivalent circuit can be generated, it can be applied to transient analysis. Figure 1 shows the analyzed DC-DC converter circuit. Figure 2 shows the circuit simulation results. Figure 3 shows the eddy current distribution obtained from the circuit simulation results by post-processing the CLN method.
The following is an example of evaluating the AC resistance of a Litz wire coil for a wireless power transfer system using the coil homogenization method and the CLN method.
The evaluation are performed in the following two steps.
(1) Unit cell analysis using the CLN method
(2) Finite element AC analysis of the overall model
In the unit cell analysis, a single Litz wire is modeled and its equivalent complex permeability is obtained, taking into account its periodicity and other factors. The Biot-Savart CLN method does not require a mesh for the air region, so even complex Litz wire meshing can be easily performed using a dedicated meshing tool.
Next, the complex permeability is used to determine the AC losses of the coil using a finite element AC analysis of the overall model and the losses are converted to AC resistance.
Using this method, we evaluated the AC resistance of test coils for a wireless power transfer system.
Figure 1 shows the model of the unit cell analysis. Figure 2 shows a photograph of the Litz wire coil for testing. Figure 3 shows the overall model of the wireless power transfer system. Figure 4 compares the AC resistance obtained from the analysis of the coil with that obtained from the measurement. The calculated AC resistance of the coil agrees with the measured value within a range of about 10% up to a range of several hundred kHz.
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