HFSS can operate on low frequencies, but still in frequency domain.
To simulate DC and low-frequency circuits you better use some time-domain software.
BTW, Maxwell is designed to simulate electromagnetic components, like coils, motors, etc.
Helical coil is a neat thing. It is not just self-resonant, there are resonances of all kinds and orders you could imagine, it is chiral, and not just that, but the longitudinal field component is very strong...so, if you put there a linearly polarized wave, you'll get something different on the other side. actually, a pain in the ass when working around low-order resonance. But generally those are simple delayers when operating above the resonance.
Yes, you can simulate it in HFSS, but around resonance you'll take pain setting up the meshing and waiting weeks for the result from most powerful workstation you can imagine.
So, actually it is interesting. If you find some references on calculating L, C and dispersion in general, please, share that secret knowledge here
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that depends on the size, I believe... mm scale coils have lowest order resonances at microwave band...
So, getting 1 Hz is really a question. MHz frequencies, are accessible, I believe.