How to achieve higher electrical power in a smaller space with same current

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SUMMARY

The discussion focuses on optimizing motor configurations to achieve higher electrical power in a smaller space while maintaining the same current. Key factors include mechanical power, angular acceleration, and torque-to-volume ratios, which are favored for enhancing performance. The analysis utilizes a Microsoft Excel add-in to illustrate how increasing certain parameters at a faster rate than others can improve efficiency, particularly emphasizing the inverse relationship between power and mass or volume. Effective heat management is crucial for sustaining performance in compact motor designs.

PREREQUISITES
  • Understanding of mechanical power and angular acceleration
  • Familiarity with torque-to-volume and torque-to-mass ratios
  • Knowledge of electrical resistance and voltage principles
  • Experience with Microsoft Excel for data analysis
NEXT STEPS
  • Research advanced motor design techniques for compact applications
  • Explore thermal management solutions for high-power motors
  • Learn about the impact of wire diameter on electrical performance
  • Investigate the relationship between current and mechanical efficiency in motors
USEFUL FOR

Engineers, motor designers, and electrical engineers focused on optimizing motor performance and efficiency in compact applications.

kmarinas86
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Optimal motor configuation for higher electrical power in a smaller space

Favored (because these qualities allow the machine do quick and nimble things for a longer time)
mechanical power
angular acceleration
torque/volume
torque/mass
torque
longevity

Neutral
resistance
voltage
loops, wire
length, wire
charge capacity
area per loop
diameter, wire

Disfavored (because these qualities prevent the machine from do quick and nimble things for a long duration)
current
mass
volume

The chart below consists of the solutions by a Microsoft Excel add-in. What the chart below shows is that in order to follow the criteria above, you have to increase certain parameters at a faster rate than others, while decreasing others in the process. The rate is r, where x=(1+r).

x^9: resistance
x^8: voltage
x^7: mechanical power
x^6: angular acceleration
x^4: torque/volume; wire loops; torque/mass
x^3: wire length
x^1: torque, longevity
x^0: charge capacity
x^-1: current
x^-2: area per loop
x^-3: wire diameter; mass; volume

Consider x=2. We would have:

512 times the resistance
256 times the voltage
128 times the mechanical power
64 times the angular acceleration
16 times the torque/volume; wire loops; torque/mass
8 times the wire length
2 times the torque, longevity
The same charge capacity
50% of the current
25% of the area per loop
12.5% of the wire diameter; mass; volume

The above suggests that while the possible mechanical power is limited by electrical power, its possible have negative relationship between power and volume, power and mass, power per current - SIMULTANEOUSLY. It's only a matter of engineering as to how small, and powerful, and how long lasting the motor can be.
 

Attachments

Last edited:
Engineering news on Phys.org
I don't see an attachment. This also looks like coursework, but it's complex enough that I'll leave it here for now instead of moving it to homework help.
 
In answer to your question, it all boils down to heat. You can put as much power wherever you want but the excess heat has to be removed. Write the general physics forum for more information.
 

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