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UM0324 датащи(PDF) 69 Page - STMicroelectronics |
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UM0324 датащи(HTML) 69 Page - STMicroelectronics |
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69 / 105 page ![]() UM0324 Library functions 69/105 Figure 41. Transformation from an abc stationary frame to a qd rotating frame With Clark’s transformation, stator currents ias and ibs (which are directed along axes each displaced by 120 degrees) are resolved into currents ia and ib on a stationary qd reference frame. Appropriate substitution into the general equations (given above) yields: In Park’s change of variables, stator currents iα and iβ, which belong to a stationary qd reference frame, are resolved to a rotor flux synchronous reference frame (properly oriented), so as to obtain iqs and ids. Consequently, with this choice of reference, ω=ωλr; thus: On the other hand, reverse Park transformation takes back stator voltage vq and vd, belonging to a rotor flux synchronous rotating frame, to a stationary reference frame, so as to obtain vα and vβ: 3 2 bs as as i i i i i + = = β α θ θ θ θ β β α sin cos cos sin i i i i i i a ds qs + = + − = θ θ θ θ β α sin cos cos sin ds qs ds qs v v v v v v + = + − = |
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