Phase currents of Trapezoidal switching

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Discussion Overview

The discussion revolves around the phase currents in trapezoidal switching, specifically focusing on calculations related to RMS values, assumptions regarding motor characteristics, and the effects of back EMF. Participants explore theoretical and practical aspects of motor performance under trapezoidal switching conditions.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant calculates the RMS value of phase voltage as Vp = 0.4714Vs, leading to a current of 16.52 amps per phase, based on a supply voltage of 20V and a phase-phase resistance of 0.57 Ohms, and seeks validation of these calculations.
  • Another participant requests clarification on the assumptions made in the calculations.
  • A participant notes that currents are influenced by inductance and back EMF, questioning the implications when applied voltage equals back EMF, leading to zero current flow.
  • One participant emphasizes the importance of including assumptions such as RdsOn of the source and complex load impedance when calculating RMS current, mentioning a simulation that yields a current of 16.46 Arms for a specific load.
  • A question is posed regarding the expected efficiency ratio (Tau/T) for a practical motor at maximum RPM, along with a hypothetical inquiry about the rationale for using only 2/3 of the supply voltage.

Areas of Agreement / Disagreement

Participants express differing views on the assumptions necessary for accurate calculations and the implications of back EMF on current flow. The discussion remains unresolved regarding the optimal conditions and parameters for trapezoidal switching.

Contextual Notes

Limitations include potential missing assumptions related to motor characteristics, the dependence on specific definitions of terms like back EMF, and unresolved mathematical steps in the calculations presented.

Who May Find This Useful

Individuals interested in motor control, electrical engineering, and those studying the effects of switching techniques on phase currents may find this discussion relevant.

PhysicsTest
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TL;DR
Calculate the phase currents for trapezoidal switching
For trapezoidal switching or 180 degree switching these are the waveforms when i referred to the website
180 switching

1684308510462.png


when i calculated the RMS value of the phase voltage it is Vp = 0.4714Vs
so assuming the
Vs = supply voltage = 20V
and each phase - phase resistance as per the data sheet is 0.57 Ohms. So, the current is 16.52 amps in each phase? Are my calculations correct? Please advise.
 
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Show your assumptions
 
Now i understand that the currents also depend on the inductance and the back emf of the motor connected. But one doubt is if the applied voltage and the back emf are equal then 0 correct flow. How does it happen?
TonyStewart said:
Show your assumptions
Sorry I don't understand this. Assumptions with regard to motor?
 
Yes all assumptions include RdsOn of source and complex load impedance for RMS current, backEMF @ RPM but a quick simulation on my part proves you are close to my answer for a pure 570m load of 16.46 Arms ... in theory, in practise is always different.

for +/- 13.33V with steps normalized to 1,2,1,-1,-2,-1.

There are harmonic differences with 8 phases and others, which do you think is best for cancellation? Considering magnetics are strong odd harmonics. Ask your prof.
 
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If T is the shortest cycle at max RPM, and ##\tau=L/DCR## what would you expect for a good practical efficient motor for max Tau/T? and why? 1% , 10%, 100% ?
Also why would one ever want to use only 2/3 of Vs? Or just hypothetical Academic?
 

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