In this paper, a Fractional-Order Multiple Repetitive Control (FOMRC) scheme is proposed and applied to the programmable AC power sources for producing any desired periodic voltages and compensating multi-periodic signals in various utility and benchtop testing. An application example on a single-phase inverter for programmable AC power sources has been carried out. According to the experimental results, proposed FOMRC is able to accurately produce multi-periodic signals with fast response and good robust characteristics.