Provided are a topological circuit and a control strategy for driving a switched reluctance motor (SRM). In one aspect, an SRM has an N-phase winding structure, N=MK; the symmetrical K-phase windings in each set of symmetrical K-phase windings are connected in a star configuration; midpoints of M power switch bridge arms are connected to neutral points of M sets of symmetrical K-phase windings in one-to-one correspondence; and K output terminals of M K-phase inverters are connected to lead-out terminals of the M sets of symmetrical K-phase windings in one-to-one correspondence. In another aspect, an SRM has N phases of windings connected in a star configuration; a midpoint of an additional bridge arm is connected to a neutral point for the N phases of windings; midpoints of N inverter bridge arms are connected to lead-out terminals of the N phases of windings in one-to-one correspondence.