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A generalised algorithm is proposed for multilevel space vector modulation (SVM), which is applicable to any number of levels. The algorithm is based on numerical analysis and gives a fixed execution time when implemented in a digital signal processor, irrespective of the number of levels. In addition, the algorithm procedures eliminate the difficulty in determining the reference vector location, the on-time calculations and switching state selection. A visualisation of the multilevel SVM analysis is detailed, without using any representative technique. The redundant paths can be readily utilised for capacitor balancing. The proposed algorithm caters for over modulation and minimum pulse, and is validated by Matlab/Simulink simulations and practical implementation. A 6 kW three-level active power filter is implemented practically using the proposed algorithm. It is shown that the algorithm is readily codable and time efficient.