Formulas for calculating transformers. Encyclopedia of radio electronics and electrical engineering
Encyclopedia of radio electronics and electrical engineering / Power supply
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Several simplified formulas for calculating conventional and pulse transformers of UPS and PSU.
Simplified formula for calculating ferite transformers for UPS
5760/FkHz = K
Ssec / K \u1d Vvolt per XNUMX turn
where:
F is the conversion frequency in Hz.
S - cross section of the ferite magnetic circuit in mm.
V - the number of volts per 1 turn
K - frequency dependence coefficient.
Simplified formula for calculating conventional 50Hz transformers
Ssec.mm/0.0003=Vvolt per 1 turn
where:
S - cross section of the magnetic circuit in mm
V - number of volts per 1 turn
Simplified formula for determining the cross section of a round winding wire
D x D / 1.27 = Ssec.mm
where:
D - wire diameter
S - wire cross-sectional area
Simplified average formula for calculating the required cross-section of the winding wire
A / 3.85 = Ssec.mm
where:
A - rated load current
S - wire cross-sectional area
An example of calculating the transformer of a pulsed power supply
Let's say we have a W-shaped ferrite core with dimensions of the central column of 11 and 12 mm. It is necessary to determine the cross-sectional area of the magnetic circuit.
We multiply the dimensions together 11x12=132mm Ssection=132mm.sq. There is already one parameter!
We determine the conversion frequency of the UPS, take for example 50kHz. FHz=50kHz is the second parameter!
Now we need to determine the coefficient of dependence on frequency K. We take the first formula from the file: 5760/FkHz=K, substitute the numbers 5760/50=115 Kz.ch.= 115. We have determined the coefficient of dependence on frequency, it is equal to 115
We take the second formula from the file S/K=Vvolt per 1 turn. Again we substitute the numbers that we already have. 132/115 = 1.1 volts per 1 turn, that is, if we need to wind a 150V primary for a half-bridge UPS circuit. Divide 150/1.1=136 turns. The remaining windings are calculated in the same way. Let's say we need a 12V secondary, which means 12/1.1=11 turns.
Author: Artur (Lefty); Publication: cxem.net
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