Hi Declan,

What I was doing is not a 2 to 3 phase inverter. I connect all coils 
to the mains and don't tap a "third" phase from it. Neither is there  
a high impedance phase. 

Your practical comments are valueable and will hopefully improve the 
theoretic approach. I think, theory will provide a starting point so 
you will not start in full uncertainty about the order of magnetude 
of the capacitor.

Regards, harry 

> 
> I have worked on some of these single to three phase inverters. It's a
> very imprecise science.
> 
> They use a phase shifted neutral, and all measurements in the '3 phase'
> section of the circuit are with reference to the phase shifted neutral.
> That loses me already. I'm just back from a holiday, and not up to this
> at all.
> 
> Doing it this way, they get  two pahses and a single (capacitative) very
> high impedance third phase. Theory doesn't matter; A 5A motor will never
> run at 5A anyhow. 'Experts'then just add capacitance until they get
> desired results, and keep all control phases away from the high
> impedance phase.  Measurement is of volts with reference to the the
> neutral, and each other phase, while on full load, and performance is
> lousy. Then check things don't go crazy when you are off load. The real
> art is making sure nothing important is on the phase that does vary.
> 
> 
>       With best Regards,
> 
> 
>         Declan Moriarty.
>       
> Aug 31, 2003 at 05:39:21AM -0800, H.C. Croon enlightened us thusly
>  
> > Hi Edi,
> >  
> > > I have a 3-phase motor witch I'd would like to run with only 1 phase, so I
> > > need a capacitor to "generate" the missing phase.
> > > 
> > > How can I determine the value of the capacitor?
> > > 
> > > The motor has following type label:
> > > 
> > > 220/380V,  1,3/0,75A
> > > 0,35PS, 0,25kW 50Hz
> > > cos phi 0,70
> > > 1400 U/min
> > 
> > From a theoretical point of view I am comming to the following 
> > approach to the problem. As my experience with motors is very 
> > restricted, talk with practically skilled guys too.
> > 
> > Driving a three phase motor with one phase
> > 1. Analysis of the motor
> > Motor data:
> > 220/380V,  1,3/0,75A
> > 0,35PS, 0,25kW 50Hz
> > cos phi 0,70
> > 1400 U/min
> > 
> > The motor must be star connected for 380V and triangle connected for 
> > 220V. That means that each motor coil in all cases recieves 220V and 
> > the voltages of the coils have mutual phase differences of 120 
> > degrees. The current through each coil is 0.75A. 
> > 
> > The power data of motors are normaly the mechanical power delivered 
> > to the mechanical load. So, not knowing the efficiency, we can not 
> > determine the power consumption out of these data. But we can use the 
> > cos phi data.
> > 
> > As the motor has been build up symmetrically, this cos phi is valid 
> > for each coil. 
> > As a model for a working coil we use the series circuit of a resistor 
> > and an inductance. The resistor is a combination of the ohmic 
> > resistance of the coil (the minor part) and the induced resistance 
> > from the cage rotor, which is a short circuited construction. Coil 
> > and rotor act as a transformer working at slip frequency and the 
> > power is transfered to the rotor, inducing a virtual resistance in 
> > the coils. 
> > 
> > Drawing a triangle with the resistor voltage, the inductance voltage 
> > and the total voltage, which triangle has angles of 90 degrees, 45.6 
> > degrees (arccos 0.7) and 44.4 degrees, we get:
> > Vr=Vtot.cos phi=220*0.7=154V
> > and 
> > VL=Vtot.sin phi=220*0.71=157V
> > This gives an equivalent R=154/0.75=205Ohm, and 
> > an equivalent inductance of L=157/(2*pi*50*0.75)=0,666H.
> > 
> > Using these values we can calculate the consumption of electric power 
> > as
> > Pe=3*R*I^2=3*205*0.75^2=346W. So the efficiency is 250/346=72%, which 
> > is a reasonable value.
> > 
> > 2. One phase application
> > We can consider different topologies, where the best seems to be:
> > coil 1: starpoint to N, hot point to L
> > coil 2: starpoint to capacitor 1, hot point to N, other side 
> > capacitor 1 to L
> > coil 3: starpoint to N, hot point to capacitor 2, other side 
> > capacitor 2 to L
> > By exchanging coils 2 and 3 or by changing the polarisation of coil 1 
> > the motor direction can be reversed.
> > 
> > In this configuration the capacitors have to cause capacitive 
> > currents of 0.75A through the coils. Be aware that the model used is 
> > based on a 3-phase situation for the rotor induction. Now this 
> > situation has been changed and the model of section 1 will only be 
> > approximately true. Nevertheless we use the model of section 1. The 
> > real model for this case being different, some experimental work, 
> > observing the currents in the coils when loading the motor, can 
> > improve the circuit.
> > 
> > To achieve a current of 0.75A we compute the capacitor value from:
> > 220/SQRT(R^2+(?L-1/?C)^2)=0.75. R and L being known this yields: C=0 
> > (inductive behaviour) and C=7.6 uF (capacitive behaviour). The phase 
> > difference between the currents in coils 2 and 3 with respect to the 
> > current in coil 1 is approximately 90 degrees.
> > 
> > A theoretical possibility of connecting the coils in parallel and 
> > using only one series capacitor of 15.2 uF will yield not understood 
> > interactions between the coils as a consequence of the induced 
> > voltages by the rotor, so this is not recommanded
> > 
> > The resulting direction of the magnetic field of coils 2 and 3 is 
> > orthogonal to the magnetic field of the coil 1. The strength of the 
> > field of coils 2 and 3 is SQRT(3) times the strength of the field of 
> > coil 1, so the magnetic field is elliptical.
> > 
> > Where this motor can be connected as well in star as in triangle all 
> > the coils are separately connectable. So the proposed circuit can be 
> > realised.
> > 
> > For some aditional stuff see 
> > http://www.dpaonthenet.net/drives/drives_aug0203.htm
> > 
> > Please give me some feedback when you succeed.
> > 
> > Best regards, Harry
> > -- 
> > Author: H.C. Croon
> >   INET: [EMAIL PROTECTED]
> > 
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> 
> -- 
> 
>       With best Regards,
> 
> 
>       Declan Moriarty.
> -- 
> Author: Declan Moriarty
>   INET: [EMAIL PROTECTED]
> 
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-- 
Author: H.C. Croon
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