Yzordderex said:
Greetings,
I need to come up with a current transformer for a smps. Power supply
is a full bridge, phase shifted resonant zvs design. Will be used for
a modulator for a class e transmitter. Output 0-60v about 250-350w at
60v.
The switching frequency will be around 200 khz, and I expect waveform
to be bipolar pulses with a ramp on top. Peak currents with 115v
input design will be around 3 amps. Output of current transformer
going into a diode bridge using 4148 diodes. Output of bridge to be
about 2-3v at Ipeak.
I'm thinking of using a ferrite core with single turn on primary and
multiple turns on secondary with a load resistor at the output of the
4148 diode bridge.
I need to determine:
Core size
Core material
number secondary turns
Load resistance
My first guess would be to pick core that wouldn't saturate with max
N*I, but not enough experience with this type design. I'm hoping to
do away with the trial by error solution and start with something
close.
Design should (if possible) be something easy for the home
experimenter to wind.
regards,
Bob
I've never designed one of these either, I've always favored sense
resistors. Though I've been interested in them from time to time, I've
never read anything about their design simply because I've never seen any
information about them before (although I've read plenty of SMPS books/web
pages/app notes and electrical circuits books, but noone ever covers them).
Nevertheless after thinking about your post I think I understand their
operation.
Unless I'm mistaken they opeate just like regular voltage conversion
transformers except they operate with current. In the case of voltage,
Vin*turns ratio=Vout is the formula to use. In the current transformer
Iin=(turns ratio)^2*Iout is the formula of interest. In your case Iin is
3Amps (your highest value) and you get to decide what Iout should be
depending upon your load resistor you select. Once you find the load
resistance (you somewhat arbitrarily select it) you can find the turns
ratio, and then with that you can find the secondary turns. With that
information you can use the formula provided by R. Legg to select a core
size that will not saturate.
The core material should probably be as high permeability ferrite as
feasible with low loss at your operating frequency. It should also have as
linear as possible a B versus magnetizing current curve. In other words
don't operate the core near saturation where things get non-linear for best
current measurement accurary.
So for example:
Abritrarily select the load resistor as 1k Ohms, to be placed after the
diode bridge. You want about a 3V signal at 3Amps primary current, so you
need a current through the 1K ohm resistor of 3mA. So Iout=3mA. Iin=3Amps.
n^2 therefore equals 3/0.003=1000. So n (the turns ratio)=32.
Since turns primary=1, turns secondary is 32 (although since flux coupling
with only one turn primary will likely produce high leakage, this may need
to be tweaked somewhat, but since I have no experience building these I
don't know by how much to expect). Now lets use R.Legg's formula. Lets
rewrite it like this for this example:
(cross sectional area)=(voltage)/[(2)(frequency)(turns)(delta B max)]
Everything in SI units.
Since we want to operate the core well away from saturation for linearity,
lets pick a delta B max of say 0.3Tesla instead of the 0.6T value mentioned
in R. Legg's post. The frequency is 200kHz as you gave it to us. The
secondary voltage produced needs to be 3V (3mA @ 1k load) plus two diode
drops when the primary current is 3A. This means the secondary voltage is
around 4.5V or so. However, since the primary current isn't a clean
squarewave of 3A constant magnitude with full effective duty cycle, but
often less than this for part of the cycle, if we use 4.5V as our voltage in
the forumla the cross sectional area will be larger than we really need.
Nevertheless since we don't precisely know what the current waveform will be
in worst case situations, we will just use that 4.5V value. Too large a
cross sectional area won't hurt, too small will.
So, plugging in:
Ae=(4.5V)/(2)(200000)(32)(0.3)
Ae=1.2*10^(-6) square meters.
By the way... Make sure the frequency figure you use is the frequency seen
by the transformer. In a full bridge topology the primary MOSFET switching
frequency is half the output rectifier/filter frequency. When some people
say they have a 200kHz full bridge, sometimes they mean if you hook an
oscilloscope up to any of the primary side MOSFETs you will see 200kHz,
while others mean if you look at the ripple current through the output
filter inductor you will see it as being at 200kHz (but only 100kHz if you
look at the MOSFETs on the primary side).