eeet-241/_Homework/project2.md

1.6 KiB

  1. What is the best utility voltage to operate this motor at? V_{util}=480V

  2. What is the synchronous speed of this motor? n_s=120{f\over p}=120*{60Hz\over 6\ poles}\ \overline{\underline{|n_s=1200rpm|}}

  3. How many poles does this motor have? 6 poles, 2 for each phase.

  4. What is the slip of this motor? s={n_s-n\over n_s}={1200rpm-1080rpm\over1200rpm}\ \overline{\underline{|s=0.1|}}

  5. What is the mechanical output in HP of this motor at full speed? 15hp(into watts)times efficiency\ \overline{\underline{|HP=12.75hp|}}

  6. What is the X/R ratio of the motor? 12.75hp*746w/hp=9511.5W\ S={P\over pf}={9511.5W\over0.85}=11190VA\ Q=\sqrt{S^2-P^2}=\sqrt{11190^2-9511.5W^2}=5894.7VAR\ {X\over R}={P\over Q}={9511.5W\over 5894.7VAR}=1.613

  7. What is the total impedance of this motor at full load (magnitude and angle)? |Z|=\sqrt{R^2+X^2}=\sqrt{24.22\Omega^2+39.09\Omega^2}\ <Z=tan^{-1}({X\over R})=tan^{-1}(1.613)\ Z=45.968\Omega<58.2^\circ

  8. What is the resistive impedance of this motor at full load (ohms)? R={V^2\over P}={480V^2\over9511.5W}\ \underline{\overline{|R=24.22\Omega|}}

  9. What is the reactive impedance of this motor at full load (ohms)? X={V^2\over Q}={480V^2\over5894.7VAR}\ \overline{\underline{|X=39.09\Omega|}}

  10. What is the full load active power drawn by this motor (kW)? 9.5kW

  11. What is the full load reactive power drawn by this motor (kVAR)? 5.8kVAR