Abstract: A switching control arrangement for a multilevel convertor minimizes the harmonic content of the converter voltage or current by an open-loop and/or a closed-loop control of the timing of the switching of the GTOs associated with the energy-storage components (e.g. capacitors) in the convertor. In a first open-loop arrangement the convertor current is quantized over its working range and different threshold values are provided in dependence on the quantization values of the current. In a second open-loop arrangement a continuous, non-quantized control is provided based on at least a quadratic approximation to the desired current-dependent behavior of the GTO switching angles. In a third, closed-loop arrangement, different GTO-switching threshold levels are provided as controlled by a Fourier integration process involving the nulling of those harmonics desired to be nulled.