It would be possible to carry out charging by induction by using the low frequency 50/60 Hz alternating current available from the mains supply, but this would be inefficient for higher powers. The higher the transmission frequency, the more power can be transferred according to:
Where the output power,
Pout, is equal to the angular frequency at resonance,
ω0, multiplied by the mutual inductance,
M, the current in the transmitting coil
It and the resulting induced current in the receiving coil,
Ir. Thus, the transmitted power is directly proportional to the frequency of the alternating magnetic field. However, core eddy current and switching losses increase with higher frequency, so there is an optimum WPT operating frequency which is dependent on other system parameters for peak inductive power transfer efficiency.
With existing
high power switching technology, a resonant frequency of between 20kHz and 150kHz achieves the best results.
The final significant factor affecting the system efficiency is the matching of the supply, coil and load resistances. The maximum power transfer efficiency (PTE
max) can be derived from the following relationship (at resonance):
Where
RL,
Rt and
Rr are the load, transmitter and receiver ohmic resistances respectively.
For best performance, the resistance of the load, receiving coil and transmitting coil should all be the same.
This creates some practical problems in the design of the WPT system. The high current power supply front end and inverter for the transmitter has a very low internal impedance, so a high frequency impedance matching transformer may be needed to get the highest coupled transmission power to the coil. Similarly, the load is a battery pack with a non-linear internal resistance characteristic which is dependent on its state of charge, so a DC/DC on board charging (OBC) unit will be required which can be impedance-tuned for optimum power reception, much like the maximum power point tracking (MPPT) circuits used in
photovoltaic DC/DC converters (Figure 6).
Fig. 6: WPT power stages with anticipated conversion efficiencies
To meet the efficiency targets, the active front end (AC to DC conversion and
power factor correction) will need to use a bridgeless totem pole configuration or similar (Figure 7) and the inverter will need to use a full bridge or variant of an LLC topology. Both designs will need to use several isolated transistor gate drivers, which is where RECOM can support WPT designs with standard and programmable
isolated gate driver DC/DC power supplies:
Fig. 7:
GaN Totem pole bridgeless rectifier example circuit
With
high power switching designs, it is often difficult to balance out the power ground stray inductances in each leg, which can lead to asymmetric performance and switching instability. Isolating both the high-side and low-side gate drivers eliminates this problem (Figure 8).
RECOM offers a range of compact gate driver power supply modules with high isolation, asymmetric output voltages for optimal power transistor switching and a wide operating temperature range, making them ideal for such high-power designs, including bidirectional circuits.
Fig. 8: Full bridge gate driver example circuit