Figures (26)  Tables (6)

    • Figure 1. 

      Power supply timing model for an array-type DWPT system.

    • Figure 2. 

      Typical mutual inductance model of an array-type DWPT system.

    • Figure 3. 

      Controlled source model of an array-type DWPT system.

    • Figure 4. 

      CLC-S compensated DISO system.

    • Figure 5. 

      Simplified equivalent circuit of a CLC-S compensated DISO system.

    • Figure 6. 

      The transfer characteristics vs compensation capacitance: (a) output power; (b)input impedance phase angle.

    • Figure 7. 

      Schematic diagram of the magnetic coupler.

    • Figure 8. 

      Characteristic curve of M as a function of the position of the Rx coil.

    • Figure 9. 

      Change of M as a function of the position of the Rx coil (with different length of the Tx coil in the X direction).

    • Figure 10. 

      Fluctuation curve of the output power.

    • Figure 11. 

      Fluctuation curve of the output power of the CLC-S compensated SISO and DISO system ($ {a}_{\mathrm{L}}=100\text{ mm}) $.

    • Figure 12. 

      Fluctuation curve of the output power of the CLC-S compensated SISO and DISO system (aL = 250 mm).

    • Figure 13. 

      The mutual inductance value considering the directionality of the magnetic field (aL = 250 mm).

    • Figure 14. 

      Fitting situation of Fourier series of different orders.

    • Figure 15. 

      Fluctuation amplitude of mutual inductance at different $\varphi _i $.

    • Figure 16. 

      Total energy transmission curve of the DWPT system under different $\varphi _i $.

    • Figure 17. 

      The curve of FOMi as a function of $\varphi _i $.

    • Figure 18. 

      The mutual inductance fluctuation curve.

    • Figure 19. 

      Design flow of a double-channel WPTS.

    • Figure 20. 

      DISO system magnetic coupler FEA model.

    • Figure 21. 

      Laboratory setup of the proposed DWPT system.

    • Figure 22. 

      Current and voltage waveforms at two characteristic positions during dynamic motion. (a) Position P0 (0.0, 1.5), (b) position P1 (227.5, 0, 1.5), (c) position P1 (455, 0, 1.5).

    • Figure 23. 

      Experimental and theoretical calculation results of the MOSFETs turn-off current If_ off.

    • Figure 24. 

      Output power fluctuation waveforms of CLC-S compensated DWPT system: (a) SISO, (b) DISO.

    • Figure 25. 

      Comparison of the measured DC-DC efficiency curves between the SISO and DISO systems vs receiver position x.

    • Figure 26. 

      Loss distribution of the DISO prototype.

    • Symbol Value Symbol Value
      t1 2 mm FEL 150 mm
      t2 12 mm FEW 150 mm
      t3 2 mm ALL 200 mm
      t4 12 mm ALW 200 mm
      aL> 100 mm μ0 4π × 10−7 N/A2
      aW 100 mm μ1 (μ4) 1.000021
      hgap 90 mm μ2 (μ3) 2,300
      z1 1.5 mm σ0 0 S/m
      z2 61.5 mm σ1 (σ4) 3.8 × 107 S/m
      z3 63 mm σ2 (σ3) 0.1538 S/m
      n1 15

      Table 1. 

      Pre-fetched parameters of the Tx coil.

    • Order Root mean square value Order Root mean square value
      1 5.34 2 2.86
      3 1.17 4 0.66
      5 0.38 6 0.25
      7 0.10 8 0.08
      9 0.06 10 0.06

      Table 2. 

      Root mean square values of the Fourier series of different orders.

    • SymbolValueSymbolValue
      a07.827a11.129
      a21.148a39.223 × 10−2
      a4−0.7381a5−0.5092
      a61.439 × 10−2a70.1055
      b11.413 × 10−17b2−1.750 × 10−18
      b31.198 × 10−16b42.669 × 10−18
      b51.864 × 10−17b62.497 × 10−17
      b7−8.257 × 10−18ω4.102 × 10−3

      Table 3. 

      7th order fourier series coefficients.

    • Symbol Value Symbol Value
      t1 2 mm bL 100 mm
      t2 12 mm bW 100 mm
      aL 250 mm n2 15
      αw 100 mm hgap 90 mm
      n1 15 $\varphi _i $ 455 mm

      Table 4. 

      Magnetic coupler design parameters.

    • Description FEA Measurement
      Self-inductance of Tx coil 1 L1 230.86 μH 222.16 μH
      Self-inductance of Tx coil 2 L2 231.03 μH 226.54 μH
      Self-inductance of Tx coil 3 L3 230.75 μH 225.49 μH
      Self-inductance of Rx coil 0 L0 105.26 μH 101.68 μH
      Same side mutual inductance M12 −20.63 μH −20.91 μH
      Same side mutual inductance M23 −20.83 μH −21.82 μH
      Cross-coupling mutual inductance M01 −2.96 μH −3.53 μH
      Cross-coupling mutual inductance M02 26.39 μH 26.09 μH
      Cross-coupling mutual inductance M03 −2.91 μH −3.65 μH

      Table 5. 

      Comparison of simulated and actual electrical parameters of the magnetic coupler.

    • SymbolValueSymbolValue
      f85 kHzC113.44 nF
      R025 ΩC213.42 nF
      Lf158.62 μHC313.42 nF
      Lf260.01 μHCf158.80 nF
      Lf359.95 μHCf258.43 nF
      C034.04 nFCf358.48 nF

      Table 6. 

      Some important external circuit parameters.