Research on Load and Mutual Inductance Identification Method of WPT System Based on a LCC-S Type Compensation Network
Abstract
:1. Introduction
2. Theory Analysis of Parameter Identification
2.1. Mathematial Model
2.2. Mathematial Model Verification
3. Simulation of Parameter Identification
3.1. Simulation Theory
- Set the initial population size to 100, iterate 50 times, and take the value of mutual inductance in the range of [0, 100 μH].
- Collect the actual system primary-side output current if.
- Calculate the fitness value of each particle, the fitness function in this paper is selected as the error between the output current if of the primary side of the system model and the current if′ of the discriminative model.
- 4.
- Compare the fitness value e (i) of each particle with the individual extreme value pbest (i). If e (i) < pbest (i), replace e (i) with pbest (i). Similarly obtain the global extreme value gbest for the whole population.
- 5.
- Update the velocity and position of the particles and perform boundary condition processing.
- 6.
- Determine whether the number of iterations is reached. If yes, the algorithm ends and outputs the optimization results; otherwise, it returns to step 3. and continues the optimization search until the identification of mutual inductance parameters is completed. Finally, the load parameters can be calculated by Equation (15) to complete the system mutual inductance and load identification.
3.2. Simulation Results Analysis
4. Experimental Verification
5. Conclusions
- Based on the equivalent circuit of WPT system, the identification model is established using two-port theorem and fundamental wave analysis method to obtain the relationship between inverter output current and load and between mutual inductance and load.
- The Simulink platform is used to compare the established state-space equations as the identification model with the actual model, and the accuracy of the proposed model is proved. The particle swarm optimization algorithm is introduced to transform the parameter identification problem of the transmission system into an optimization problem, which completes the identification of parameters and makes the identification results more accurate.
- The corresponding simulation models are built using MATLAB/Simulink. The simulation results show that the maximum error between the identified and actual values of mutual inductance and load is respectively 1.66% and 1.39%. The system experimental platform is also built. The experimental results show that the errors between the identified and actual values of load and mutual inductance do not exceed 5%, which verifies the effectiveness and reliability of the method.
Author Contributions
Funding
Conflicts of Interest
References
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Parameter | Value |
---|---|
Primary/secondary-side coil internal resistance R1,2 | 0.13/0.13 Ω |
Primary-side coil inductance L1 | 108.47 µH |
Secondary-side coil inductance L2 | 108 µH |
Primaryside compensation capacitor C1 | 114 nF |
Secondary-side compensation capacitor C2 | 93.8 nF |
Resonance frequency f | 50 kHz |
Operating frequency f0 | 50 kHz |
Compensation of resonant coil inductance L0 | 20 µH |
Primary-side shunt compensation capacitor C0 | 507 nF |
Compensation of resonant coil internal resistance R0 | 0.1 Ω |
Load Resistance (Ω) | Mutual Inductance M (μH) | Relative Error (%) |
---|---|---|
15 | 30.12 | 0.99 |
20 | 30.42 | 0.23 |
25 | 30.66 | 0.78 |
30 | 30.97 | 1.8 |
35 | 31.06 | 2.1 |
Lateral offset Distance s (cm) | Mutual Inductance M (μH) | Load Resistance RL (Ω) |
---|---|---|
10 | 19.13 | 15 |
5 | 26.76 | 15 |
15 | 11.36 | 20 |
10 | 19.13 | 20 |
5 | 26.76 | 25 |
0 | 30.49 | 25 |
10 | 19.13 | 30 |
15 | 26.76 | 30 |
Lateral Offset Distance s (cm) | Real Measurement of Mutual Inductance Mr (µH) | Identify Mutual Inductance Mi (µH) | Identify Load RL (Ω) |
---|---|---|---|
0 | 30.4951 | 29.3668 | 29.93 |
5 | 26.7625 | 25.6652 | 28.85 |
10 | 19.1275 | 18.4007 | 28.99 |
15 | 11.2875 | 10.7457 | 29.36 |
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Xue, M.; Lu, K.; Zhu, L. Research on Load and Mutual Inductance Identification Method of WPT System Based on a LCC-S Type Compensation Network. World Electr. Veh. J. 2021, 12, 197. https://doi.org/10.3390/wevj12040197
Xue M, Lu K, Zhu L. Research on Load and Mutual Inductance Identification Method of WPT System Based on a LCC-S Type Compensation Network. World Electric Vehicle Journal. 2021; 12(4):197. https://doi.org/10.3390/wevj12040197
Chicago/Turabian StyleXue, Ming, Keyan Lu, and Lihua Zhu. 2021. "Research on Load and Mutual Inductance Identification Method of WPT System Based on a LCC-S Type Compensation Network" World Electric Vehicle Journal 12, no. 4: 197. https://doi.org/10.3390/wevj12040197