This paper presents a novel Space Vector Modulation (SVM) strategy for the three-phase 7-level Multiplexed Converter (3Φ7L MLMXC) in high-power AC applications. The main idea of the proposed SVM is to use the dq-coordinate to rapidly find the switching triangle enclosing the reference vector in the 7-L space vector diagram. Then all available switching sequences and vector duty cycles are pre-allocated on look-up tables to speed up the algorithm in embedded digital platforms. All steps of the proposed SVM are implemented in half one sector that can be implemented with a minimum computational burden. The proposed algorithm can improve the quality of the waveforms and avoid the intrinsic forbidden states, preventing the catastrophic failure of the power conversion system. The algorithm has been implemented in a fieldprogrammable gate array (FPGA) and tested using the Hardware-In-the-Loop (HIL). This paper presents results under different operating conditions to verify the proposed SVM strategy.