The present disclosure describes aspects of wireless power transfer for stationary applications. In some aspects, a system includes a transmitter and receiver separated by a wireless gap with a membrane. The transmitter has an inverter circuit to invert direct current (DC) power from a DC power source to alternating current (AC) power. The transmitter also has a transmitting circuit that includes a first resonant coil configured to resonate at a frequency of the AC power. The first resonant coil is also configured to wirelessly transmit the AC power across the wireless gap. The receiver has a receiving circuit that includes a second resonant coil configured to resonate based on resonance of the first resonant coil and to receive the wirelessly transmitted AC power. Additionally, the first and second resonant coils are configured as primary and secondary windings, respectively, of a transformer to transform the wirelessly transmitted AC power.