Excellent information John! I learned something today.

I may have to go with a larger motor and VFD for my mill if I decide to 
remove the variable sheave belt drive.


On 1/7/2016 4:10 PM, John Kasunich wrote:
> Actually, the domestic (input) power is not an issue.  The only factor is
> the cost of the oversized motor and VFD.  Anyone lucky enough to
> find a really good deal on a motor/VFD rated significantly more than
> the nominal HP of their machine can take advantage of it to get more
> torque at low speeds.
>
> Think about what a VFD does:
>
> The rectifier section of the VFD converts fixed frequency and voltage
> input power into fixed voltage DC power and stores it in a capacitor bank.
>
> The inverter section of the VFD converts fixed voltage DC power from
> the capacitor bank into variable voltage variable frequency AC power
> and sends it to the motor.
>
> The power delivered to the motor contains two components - real and
> reactive power.  The real power is converted to mechanical power at
> the shaft.  The reactive power provides the magnetic fields needed to
> make the motor work.  The reactive power sloshes back and forth
> between the motor phases and the power line (if across-the-line) or
> between motor phases and the cap bank (if VFD), with no net power
> transfer.
>
> Lets say the original motor on the machine was 2HP, three phase.
> Connected across-the-line on a big industrial 3-phase line, and loaded
> to 2HP, it might draw 6A - this reflects both real and reactive power.
> Uncouple the shaft, and the no load current reflects only the reactive
> power.  Typically 30-50% of full load current - let's say it is 40% for this
> motor, so 2.4A.  So the reactive power required or this motor is
> 2.4A*240V*sqrt(3) = 1kVA.  This is constant, regardless of the load
> on the shaft.
>
> Put the 10HP motor across that same big industrial line, and load it
> down to 10HP.  The full load phase current might be 30A.  No-load
> current might be 40% of that, or 12A.  The reactive power requirement
> is 12*240*sqrt(3) = 5kVA.  Again, it is constant regardless of load.
>
> If you had a three phase 6A power line capable of running the 2HP
> motor without a VFD at full load, it couldn't even run the 10HP motor
> at NO load, because it couldn't supply the 12A of reactive power.
>
> But with the VFD things change.  Since the inverter provides all the
> reactive power, the line never sees it.  The line and the rectifier section
> only have to handle the real power.  So the 10HP VFD can spin up
> the unloaded 10HP motor, while drawing next to no power from the
> 2HP power line.
>
> If you are running at rated speed (say 1500 RPM) and start to apply
> load torque, the line will have to supply the real power.  When the
> torque reaches 7 ft-lbs, the shaft power will be 2HP.  At that point
> you need to stop increasing the torque, or you will overload the line.
>
> But the motor and drive were both designed to deliver 10HP.  That
> means the motor COULD deliver 35 ft-lbs of torque at any speed
> from zero (with adequate cooling) to 1500 RPM.
>
> If you drop the speed from 1500 RPM to 300 RPM, you can increase
> the torque from 7 ft-lbs to 35 ft-lbs and the real power is still only 2HP.
> Since the real power is 2HP, the power line can deliver it.  An ammeter
> on the single phase input line might show 8-9 amps, but the same
> ammeter on the motor connections could show 30 amps.
>
> This is rarely ever done in industry because industry doesn't want
> to pay for the extra iron, copper, silicon, and capacitors needed
> to build a 10HP motor and VFD when they're only going to get
> 2HP from the shaft.  But for a one-off where you find the motor
> and/or VFD cheap on eBay or a scrap-heap, it can work very well.
>


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