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In this paper a novel algorithm for detecting voltages of capacitors of cascade shunt active power filter (CSAPF) is presented based on Carrier Phase Shift-SPWM (CPS-SPWM). This work is motivated by the fact that the number of voltage sensors is largely increased by CSAPF with cascade topology which has been put into practical use for years especially in high voltage and high power drivers. Following the novel algorithm, the number of voltage sensors can be greatly decreased and only one sensor is needed for each phase which leads to a reduction of the cost of CSAPF. Computer simulations verify the validity and effectiveness of the proposed novel method.