G
greg
Guest
Jon Kirwan wrote:
so it's hard to tell at first glance. Let's try to
find out whether they're equivalent...
Consideration of the charging and discharging times
of the inductor gives
t_on = L * I / Vin
t_off = L * I / Vout
for a total period
t_total = t_on + t_off
= L * I * (1/Vin + 1/Vout)
Defining
N = Vout / Vin
we have
t_total = L * I * (N/Vout + 1/Vout)
= L * I * (N + 1) / Vout
Substituting into
Ic_peak^2 = 2 * Vout * Iout * t_total / L
we get
Ic_peak^2 = 2 * Vout * Iout * L * I * (N + 1) / (Vout * L)
which cancels to give
Ic_peak = 2 * Iout * (N + 1)
which I'm relieved to find is not entirely dissimilar
to what I came up with before.
of course. But the above should be good enough to get
a first approximation of the Ic_peak you need to aim
for, I think.
I derived it short-circuits any consideration of
frequency or inductance, though, and gets there more
directly.
Wouldn't still be following the thread if I wasn't!
--
Greg
What I came up with didn't involve frequency or L,)
This isn't what you came up with.
so it's hard to tell at first glance. Let's try to
find out whether they're equivalent...
Consideration of the charging and discharging times
of the inductor gives
t_on = L * I / Vin
t_off = L * I / Vout
for a total period
t_total = t_on + t_off
= L * I * (1/Vin + 1/Vout)
Defining
N = Vout / Vin
we have
t_total = L * I * (N/Vout + 1/Vout)
= L * I * (N + 1) / Vout
Substituting into
Ic_peak^2 = 2 * Vout * Iout * t_total / L
we get
Ic_peak^2 = 2 * Vout * Iout * L * I * (N + 1) / (Vout * L)
which cancels to give
Ic_peak = 2 * Iout * (N + 1)
which I'm relieved to find is not entirely dissimilar
to what I came up with before.
Considering those sorts of effects will complicate things,Now assume for a moment that the capacitor is 'somewhat smaller' and
that there is some change in voltage during operation
of course. But the above should be good enough to get
a first approximation of the Ic_peak you need to aim
for, I think.
Sure, that's another way of approaching it. The wayIt's about accounting for energy, not accounting for current.
I derived it short-circuits any consideration of
frequency or inductance, though, and gets there more
directly.
So am I, and I'm learning things from all this too.Of course, I'm a hobbyist.
Wouldn't still be following the thread if I wasn't!
--
Greg