Thank you for opening up the possibilities of the discussion... I guess I just prefer the needed criteria to pick the best option no matter what it turns out to be.
I think a replacement battery pack needs to go in one of three directions ...
#1> less cost than the Honda IMA battery for equal performance.
#2> about the same cost as the original IMA battery for better performance.
#3> more cost for better performance.
The now ~10 year old NiMH technology battery pack from the I1 was about ~43 wh / kg... about ~139 Wh / L ... a peak burst of about ~663 W / kg ... and a peak burst of about ~2,140 W / L.
To meet the space requirements to fit in the same space as the original any alternative battery must have at least equal or better Wh/L and W/L... if it can not meet this than it will use more space to do the same job... some improved battery arrangement might potentially still allow a slightly larger volume of battery to still fit in the same OEM battery module space... which does have some room for volumetric packaging improvement.
In order to meet the performance requirements of equal or better energy use time ... any alternative must have equal or better Wh/Kg and W/Kg... if it can not meet this it will use more weight to accomplish the same job... a minor increase in weight might be acceptable for a significant increase in total Wh of usable energy.
A Honda OEM battery cost ~$2,000 U.S. ... less from a junk yard, but might need parts replaced or serviced... options #1 and #2 would have to avoid going much over this for the complete replacement.... #3 could go over it by as much as we are willing to spend extra for it... individual budgets may vary.
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While the wh/kg of modern PbA might be close to this ~10 yeaer old NiMH tech ... even modern PbA do not stand up to the other performance requirements ... of wh/ L ... or the peak burst W/kg or W/L... even Modern PbA would have a very hard time surviving for very long if they were put into such an harsh treatment... PbA might be able to cope for a short time ... but to have it handle these stresses for an equal amount of time it would have to be significantly larger and heavier... which is fundamentally reduced performance... Although PbA would be cheaper the reduced performance to me is a deal breaker for PbA.
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Aside from PbA there are many other types of batteries ... but we are limited to just the ones we can buy and use ... so batteries that are still just in the lab ... will not be an option until they are out of the lab and become available to buy and use... That removes some of the 'futuristic' in just a few years types of batteries... if we can't buy it we can't buy it ... its that simple.
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I'll have to do some more poking around and see what I can find... among the more modern NiMH and other Li options.
Nice to see the this type of thread though ... I hope to pans out eventually.