From tan delta at 120Hz, you can calculate ESR at 120Hz. Sadly, ESR is a function of frequency (and temperature, and age, and so on)...
The necessary information
is on the datasheet, though: the ripple current correction factors. We need to make an
assumption, though: that because the ripple current ratings must exist due to heating caused by ESR, we assume that the manufacturer has made that particular table so that the listed ripple currents cause same amount of internal heating, at different frequencies. Then you can work backwards from Ploss = I
2*ESR.
For example, the ripple current correction table says 0.80 for 120Hz and 1.0 at 100kHz. Assuming Ploss is same for both,
I
1202 * ESR
120 = I
100k2 * ESR
100kESR
100k = I
1202 * ESR
120 / I
100k2 = ESR
120 * (I
120/I
100k)
2 = ESR120 * 0.64
When I went through the math and needed confirmation on the feasibility of the calculation, I was finally able to find a strange Engrish Panasonic appnote which I could download by registering, which confirmed this calculation! I can see if I can still find that file.
The issue is, this calculation gives higher ESR values than the "impedance" number listed on the datasheet. To me, it seems, based on temperature measurements, that the ESR must be more than the value listed in the "impedance" column, and that the ESR calculated by this formula from DF, seems to be in the right ballpark. Simply put, I have used 16V 1000uF Pana FR caps on a buck converter at the ripple current rating, i.e., about 1.5A. They
do get very warm! From the size of the components and general experience on component dissipation with similar surface areas, I can say this is something roughly around half a watt of dissipation. Using the "Impedance" number as ESR, though, would result in only 1.5^2 A^2 * 30mOhm = 67 mW being dissipated. This possibly can't be the case. Thus I think the "impedance" must mean something else, but can't confirm what it is!
Neither you can calculate ripple current rating from either ESR or Tan(δ).
Indeed you can't, you would need R
th-capacitor-core-to-ambient and maximum T
capacitor-core. They have done all this for you.
The reason I'm mentioning this is to draw an analogue how you work with calculating
MOSFET ratings. There, the current rating number is usually totally bogus (useless), but accurate-enough R
ds(on) allows you to calculate P, and values for R
th are given, allowing you to calculate Tj; finally, max Tj is given. With elcaps, you can't do this because you lack information, but OTOH you have a realistic current rating given to you which satisfies most purposes - but doesn't allow
efficiency calculation!