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please solve it fast
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answerhappygod
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please solve it fast
please solve it fast
Part (a) Derive the steady-state stator voltage equation of a PMSM in the stationary a B-frame when it is operating at a steady state rotor electrical speed of wr rad/s. In your derivation, show detailed intermediate steps clearly. [6 marks] Part (b) A three-phase, 6-pole, star-connected, permanent magnet synchronous machine (PMSM) has the following parameters: R, = 0.2112, L, = 3.4mH, Am = 0.094Vs It has its shaft coupled with a prime mover that maintains a constant shaft speed of 2800rpm. Calculate the d and q-axis voltage that must be applied at the terminals of the PMSM, in vector control mode, so that the phase currents are all zero ia = in = ic = 0). [7 marks] Part (c) If the machine, with parameters given in part (b) and rotating at 2800rpm, is connected with a balanced three-phase star-connected resistive load, with resistance of each phase as 1782, calculate i) the phase current in the load ii) the power delivered to the load iii) the torque of the machine Part (d) The PMSM of part (b) is to be used in a milling machine with a maximum spindle speed of 5000rpm. The torque required at this maximum speed is 1.9Nm. If the PMSM is vector controlled with iad = 0, calculate the phase voltage needed to sustain the required torque in steady state at the maximum speed.
Part (a) Derive the steady-state stator voltage equation of a PMSM in the stationary a B-frame when it is operating at a steady state rotor electrical speed of wr rad/s. In your derivation, show detailed intermediate steps clearly. [6 marks] Part (b) A three-phase, 6-pole, star-connected, permanent magnet synchronous machine (PMSM) has the following parameters: R, = 0.2112, L, = 3.4mH, Am = 0.094Vs It has its shaft coupled with a prime mover that maintains a constant shaft speed of 2800rpm. Calculate the d and q-axis voltage that must be applied at the terminals of the PMSM, in vector control mode, so that the phase currents are all zero ia = in = ic = 0). [7 marks] Part (c) If the machine, with parameters given in part (b) and rotating at 2800rpm, is connected with a balanced three-phase star-connected resistive load, with resistance of each phase as 1782, calculate i) the phase current in the load ii) the power delivered to the load iii) the torque of the machine Part (d) The PMSM of part (b) is to be used in a milling machine with a maximum spindle speed of 5000rpm. The torque required at this maximum speed is 1.9Nm. If the PMSM is vector controlled with iad = 0, calculate the phase voltage needed to sustain the required torque in steady state at the maximum speed.