I have read that for transformers operating at low frequencies, a larger core is needed. I am trying to calculate the core size for a single phase transformer operating at 2Hz.
I do not have a physical example of a transformer, but I have done a simulation of a transformer using Femm that gives me a value for the flux in Telsa.
I would appreciate it if anyone could comment on, or correct my method for finding the ideal core size of the transformer. I thought this formula for finding the induced voltage in the secondary coil would apply:
induced voltage = 4.44fNAB
- f= frequency in Hz
- N= number of turns in the secondary coil
- A= cross section of the core area in Meters
- B= flux in the core in Tesla
My primary coil is 0.5mm diameter wire with 400 turns
- P coil resistance: 5.3695271 Ohms
- P coil current: 1.5 Amps
- P coil voltage: 8.05429 Volts
- P coil power: 12.08144 Watts
I would like to assume for the moment that the transformer is a “perfect” transformer with no core losses, just make my understanding easier for the time being. My questions -
Is this the correct formula to use?
If the above formula gives me a value for the induced voltage in the secondary coil that equals a lower Watts value in the secondary coil than in the primary coil, does this mean that the transformer core is too small for the frequency?