The fundamental operating principle for all standard isolation transformers remains

electromagnetic induction (Faraday's Law).

There are no widely used "alternative operating principles" for isolation transformers.

This setup is not used for transferring AC power.

But, by changing principles of operation, the math changes based on the data.

This is the normal setup for an Isolation transformer.

But, when you make one change to the core setup, like this.

All the mathematical data changes.

I can’t find any math for these changes.

So I’m looking for someone who may be willing to help, a Mathematician.

To keep things simple for now, think of an ideal model, no resistance on the secondary winding. 

And a 1 to 1 turns ratio.

Current on the primary winding is dictated by a primary load.

Voltage on the primary will be the same as what the source supplies and current will be 

the same as what the load dedicates. 

Current on the secondary winding will be exactly the same as the primary winding.

With a closed circuit and ideally no resistance on the secondary winding, there will be no voltage on the secondary winding.

At this point, it's as if the secondary is not even there, meaning the primary does not see any

change to voltage or current, no sine wave distortion, nothing changes.

The major changes come when resistance is experienced on the secondary winding. 

This circuit layout has been third party tested many times.

And I would be more than happy to share test data.

If any Mathematicians on here are interested, that would be great.

I keep being told after testing, we don't understand the math.

The data is very predictable, but I’m not into mathematical equations. 

That's why I’m looking for help.

And just in case, this is not theoretical, it’s a fully functional circuit.

If this is inappropriate on this site, I apologize.

To get to grips with this circuit you need to understand the terms reactance, resistance and impedance. You then need to estimate how the properties of each circuit component fit together to find the current flowing around the circuit and its phase relationship with the generated voltage. This will give you enough information to calculate the voltage drop across each component. Unfortunately unless the motor is running at a constant speed attached to a constant load all these parameters will be shifting.

Edited November 15, 2025Nov 15 by OldTony

6 hours ago, Bcook said:

This is the normal setup for an Isolation transformer.

But, when you make one change to the core setup, like this.

So I’m looking for someone who may be willing to help, a Mathematician.

Yes you do need a mathematician.

I can see at least 2 changes. Can you spot a third ?

17 hours ago, OldTony said:

To get to grips with this circuit you need to understand the terms reactance, resistance and impedance. You then need to estimate how the properties of each circuit component fit together to find the current flowing around the circuit and its phase relationship with the generated voltage. This will give you enough information to calculate the voltage drop across each component. Unfortunately unless the motor is running at a constant speed attached to a constant load all these parameters will be shifting.

Thanks for your input.

I usually make it known that I have no formal education in electrical engineering or electromagnetism.

I can explain everything going on in this circuit, while never talking about anything electrical, I know that sounds odd.

I explained what you WILL see if you do not have resistance present on the secondary coil winding.

Current is whatever the load requires based on voltage, voltage change anywhere in the circuit is controllable at will, up or down, to a point.

This add-on component is about field interactions, I am trying to keep it simple by only talking about current from coil to coil.

Whatever current is on the primary is what current is on the secondary, under ideal conditions it never varies.

I have found that any theorizing of data in this circuit layout based on the current paradigm will be incorrect,

again I know that sounds odd or even unbelievable, but true.

I'm hoping for a starting point, math

This circuit is about non linear magnetic moments, field lines. Field control.

The very basic thing about this, a field line causes a field line, that was discovered 200 years ago.

I have found that an aspect of that discovery has been overlooked, I put my finger on it about 10 years ago.

And I'm still trying to get is recognized.

Thank you, I'm not trying to be negative as to what anyone says.

If computer simulations can't predict it, it's never been seen or experienced.

16 hours ago, studiot said:

Yes you do need a mathematician.

I can see at least 2 changes. Can you spot a third ?

I'm not sure what you see.

But I would like to know.

Thanks

3 hours ago, Bcook said:

I'm not sure what you see.

Well I see

1) A series capacitor

2) A series motor

3) The system is grounded.

Edited November 16, 2025Nov 16 by studiot

22 hours ago, studiot said:

Yes you do need a mathematician.

I can see at least 2 changes. Can you spot a third ?

I am wondering what changes you see?

I see a capacitor in series, not parallel.

And a coil winding wired in series with a load, that is it for the primary line.

The AC source is normal and the motor is normal.

What is the third?

But, what I was referring to as changing the operating principle is the primary winding.

9 minutes ago, Bcook said:

I am wondering what changes you see?

I see a capacitor in series, not parallel.

And a coil winding wired in series with a load, that is it for the primary line.

The AC source is normal and the motor is normal.

What is the third?

But, what I was referring to as changing the operating principle is the primary winding.

Here am I wondering if you actually read what i wrote ?

On 11/16/2025 at 4:03 PM, studiot said:

Here am I wondering if you actually read what i wrote ?

Sorry, I must be missing something

5 hours ago, Bcook said:

Sorry, I must be missing something

Can you honestly not see that ?

On 11/15/2025 at 4:29 PM, Bcook said:

But, when you make one change to the core setup, like this.

1) There is no capacitor in the curcuit between the ac drive and the transformer primary

2) There is no additional inductance in the form of a motor winding in the secondary circuit of the transformer

3) Neiether the primary nor the secondary circuits are grounded.

But you said

On 11/15/2025 at 4:29 PM, Bcook said:

But, when you make one change to the core setup, like this.

This circuit shows all 3 changes.

You got me

All I was thinking about was the fact that it would be unusual to wire the primary winding in series on the phase line

I am wondering why you think the motor will have the full supply voltage connected to it. In other words why you think the volts drop across the capacitor plus the volts drop across the transformer primary winding will equate to zero.