This paper introduces a new modulation method that can be adopted to obtain various possible output voltages depending on the switching topology and the voltage inputs available. This method is used to obtain a sinusoidal voltage waveform with a frequency which is a multiple of the frequency of the sinusoidal input voltage. There are various applications that need a variable frequency input and a limitation is that three-phase supply is not always available. A good example to this would be single-phase induction motors. Using this method single-phase induction motors can be supplied with a variable frequency source which uses a single-phase fixed-frequency supply and so it can be used in variable speed applications. First the general idea behind this method is explained and its equations and constraint are derived. Next the technique is used to produce the desired voltage that was mentioned and the proper switching topology is explained. Then the method and its equations and constraints arc fully discussed over this particular case. Finally the simulation results are presented and analyzed.