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The harmonic elimination technique consists on finding the proper inverter switching events so that the first harmonic amplitude is controlled and the rest of odd harmonic components are suppressed. However, non linear loads connected to the output of the inverter provoke additional harmonics that distort the output voltage applied to the load. Along the present work it is proposed an extension of the harmonic elimination technique. This extension pretends to determine the switching events so that the inverter is able of generating a controlled fundamental harmonic that complies specifications and also generates the next odd harmonic components in a way that added to the ones provoked by the load, they cancel each other out. The described method has been validated through simulation.