DC/AC converter Energy industries & utilities Modular Multilevel Converters PV systems Permanent Magnet Vernier Machine Technology: general issues adaptive cascaded inverter converter–machine association cross feedback output current sharing digital twin direct drive machine doubly fed induction generator doubly-fed induction generator doubly-fed induction generator, electrical machines energy storage system fault-tolerant photovoltaic inverter feedback linearization field oriented control finite elements method flying capacitor inverter fractional-order control full order observer fuzzy grid grid connected system input-series input-parallel output-series output-parallel multimodule converter islanding detection lithium batteries los minimization