A multi-level inverter, comprising: at least one cascaded H-bridge multi-level module, wherein each H-bridge multi-level module comprises a first H-bridge multi-level leg having a plurality of output levels at an output terminal of the first H-bridge multi-level leg and a second H-bridge multi-level leg having a plurality of output levels at an output terminal of the second H-bridge multi-level leg, wherein the first and second H-bridge multi-level legs (510, 540) are connected in parallel and multi-level outputs of the H-bridge multi-level module are outputted between the output terminals (A, B) of the first and second H-bridge multi-level legs (510, 540), wherein each of the first and second H-bridge multi-level legs (510, 540) comprises a first inverter leg (512, 542) and a second inverter leg (514, 544) coupled in parallel through a coupled inductor (516, 546) including a primary winding and a secondary winding wound around a core, the first inverter leg (512, 542) is coupled to the primary winding of the coupled inductor (516, 546) for providing a first input voltage with multiple voltage levels, the second inverter leg (514, 544) is coupled to the secondary winding of the coupled inductor (516, 546) for providing a second input voltage with multiple voltage levels, the primary and secondary windings of the coupled inductor are coupled in series and a junction node (A,B) of the primary and secondary windings coupled in series forms the output terminal (A, B) of the respective H-bridge multi-level leg, wherein the first input voltage has a predetermined phase shift ( θ) relative to the second input voltage, and characterised in that the first H-bridge multi-level leg and the second H-bridge multi-level leg of each H-bridge multi-level module are connected in parallel to a direct current power supply. at least one cascaded H-bridge multi-level module, wherein each H-bridge multi-level module comprises a first H-bridge multi-level leg having a plurality of output levels at an output terminal of the first H-bridge multi-level leg and a second H-bridge multi-level leg having a plurality of output levels at an output terminal of the second H-bridge multi-level leg, wherein the first and second H-bridge multi-level legs (510, 540) are connected in parallel and multi-level outputs of the H-bridge multi-level module are outputted between the output terminals (A, B) of the first and second H-bridge multi-level legs (510, 540), wherein each of the first and second H-bridge multi-level legs (510, 540) comprises a first inverter leg (512, 542) and a second inverter leg (514, 544) coupled in parallel through a coupled inductor (516, 546) including a primary winding and a secondary winding wound around a core, the first inverter leg (512, 542) is coupled to the primary winding of the coupled inductor (516, 546) for providing a first input voltage with multiple voltage levels, the second inverter leg (514, 544) is coupled to the secondary winding of the coupled inductor (516, 546) for providing a second input voltage with multiple voltage levels, the primary and secondary windings of the coupled inductor are coupled in series and a junction node (A,B) of the primary and secondary windings coupled in series forms the output terminal (A, B) of the respective H-bridge multi-level leg, wherein the first input voltage has a predetermined phase shift ( θ) relative to the second input voltage, and characterised in that the first H-bridge multi-level leg and the second H-bridge multi-level leg of each H-bridge multi-level module are connected in parallel to a direct current power supply.