In this article you will learn how to calculate turns ratio of for high frequency switch mode power supply inverters. High ferrite core transformers are used in almost every power electronics circuits like.
They are used to boost up or step up low dc voltage of battery and other dc sources like solar panels. Ferrite core transformers are also used in isolated to step up or step down dc voltage. For example in isolated it is used to step down dc voltage and in isolated, they are used to step up dc voltage. In this article, we will learn how to calculate turns ratio of high frequency ferrite core transformer with examples. Page Contents • • • • Ferrite core turns ratio calculation For example in boost up stage we have two options to use from power electronics converters, push pull topology and full bridge.
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I will explain both methods one by one. Turns ratio calculation formula and concept remains same for both topologies.
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The only difference between push pull topology and full bridge transformer design is that push pull ferrite corerequires a center tap in primary winding. In other words, push pull transformer have two times primary turn than full bridge transformer.
Push pull topology ferrite core turns ratio calculation with example Let’s start with example. For example we want to design a 250 watt boost up dc to dc converter. We are using push pull topology for this design. We are using 12 volt battery. We want to step up dc voltage from 12 volt 310 volt. Switching frequency of design is 50KHz. We are using ETD39 ferrite core which can handle 250 watt.
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It is beyond the scope of this topic to tell how to select ferrite core according to power rating. I will try to write separate article on it.
The output of ferrite core will be always high frequency square wave of 50 KHz. We need to use full rectifier to convert it into dc of 310 volt. You may also need to use LC filter to harmonics or AC components from output.
Ferrite Transformer Turns Calculation Ferrite transformer primary turns calculation As you know battery voltage does not remain same all the time. As the load on battery on increases, battery voltage will be less than 12 volt. With no load with fully charged battery, battery voltage will be near to 13.5 volt. Therefore input voltage is not constant, we must consider it while calculating turns ratio of ferrite core transformer. Cut off voltage for battery is usually 10.5 volt. We can take it as smallest possible value of input voltage to boost up dc converter.
So we have following parameters now: Vinput = 10.5 volt Vout = 310 volt As we know that formula of turns ratio calculation in transformer is N = Npri / Nsc = Vin / Vout Where Npri is number of primary turns and Nsc is number of secondary turns. We have three know variables like turns ratio which can be calculated by above equation, input voltage and output voltage. But we need to calculate primary turns to find secondary turn of ferrite core transformer. Jaan e mann full movie with english subtitles. Formula to calculate primary turns for ferrite core transformer is given below: Npri = Vin * 10^8 / 4 * f * Bmax * Ac But for push pull it will be half the primary number of turns. • Where Npi is primary number of turn, Vin( nom) is normal input voltage which in our example is 10.5 volt. • Bmax is maximum flux density.
The unit of maximum flux density is Guass. Remember if you are using Tesla unit for maximum flux density, IT = 10^4 Guass. The value of maximum flux density is usually given in data sheet ferrite core. We usually take value of Bmax between 1300G to 2000G. This is usually a acceptable range for all ferrite core transformers. Note: High value of flux density will saturate the core and low value of flux density will lead to core under utilization.