dogman dan said:
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What you typically see though, is around 15-25 miles depending on wind, hills, and the total weight of you and the bike.
Did the title of this thread change form "how far can I go" to "how do I figure?" Maybe its my bad memory?
Anyway, the way I figure is based on my experiences with a fairly heavy standard mountain bike with typical trips from 8-16 miles with elevation gains for 600-750 feet as well as similar.
Longer commutes at moderate pace that only exceeds 25 mph going downhill averages about 20 wh/mile
Shorter commutes without any flats to speak of where I'm almost always going uphill or downhill to some degree average about 25 wh/mi
On flats or uphill I'm pulling a typical 650 watts from the battery. On moderate downhills I only pull that intermittently since I will go back and forth from exceeding my 28 mph power cutoff. On steep downhills, little or now power since I set my PAS to max at about 150 watts and that seldom kicks in due to speed.
As an example, I rode 22 miles yesterday and used 550 watt hours. It was the end of the week and I was going to play table tennis, so I kept my pedal effort low. Average speed was around 18 mph (though typical speeds were 20-25 mph). This is my shorter commute and stops and the 10-15% gradea kill my average speed. Anyway, that works out to an about 25 wh/mi - fairly typical of these shorter commutes where I'm always dealing with hills.
I use 36v 4.4 ah "hoverboard" batteries. When I initially started my commute, I calculated that I should be able to do my round trip 32 mile commute on five of these. And generally speaking, I was able to. But barely. I did run out of battery once. But per paper calculations, that meant I was pulling 25 wh/mi (and I do get better wh/mi on this longer commute which is half flat roads) - which didn't jibe with my measurements from by cheap-o watt meter. I concluded that I was running too close to the battery's capacity and that I wasn't getting the full amp hour capacity from the batteries because I was drawing at a rate higher than what is used to calculate that capacity. So lesson learned - understand the draw rate where your batteries were rated. Standard discharge for my cells is 430 mA. Each pack is 2P and I had five packs. So the standard draw would be 4.3 amps or 155 watts. I was drawing up to 1000 watts. Hence I don't get the full capacity.
By comparison, I took 7 of those packs and rode a 58 mile loop and only ran out of juice in the last mile home, and that mostly because I went fast on the last leg uphill to my house. My recharge consumed 28.5 ah even though the rated capacity was 30.8 ah. Using the former number, my average consumption was 17.9 wh/mi. I kept my PAS set to 2, which put my battery draw very near the "standard discharge" that the batteries were rated at. I kept my typical speed on flats at 20 mph or a bit more. No high amp blasts.
I now run 8 of those packs. By running more packs I strain each cell a bit less so I get better efficiency from the pack. But it is less than rated because I still draw above the rating. So realistically, my 1250 watt/hr battery probably delivers around 1100 watt hours in my real world commuting circumstance. I estimate that because after drawing 550 watt hours, my battery voltage was 37+ which is right around the halfway point of discharge. So my realistic range with this battery in my commuting mode is about 44 miles. But I figure I should be able to go 60 miles plus in a long range, lower draw cruising mode.
So as a recap. Your battery is nominally a 50.4v or 51.8v battery depending on the cell voltage. That means that your best case capacity is 900 watt hours but your real world e-biking capacity is probably more like 750 watt hours. At a middle of the road draw of 25 wh/mi you'll be able to go about 30 miles. If you pull back a bit and take it a little easy and draw 20 wh/mi, you might go 40 miles ... but barely if you do. If you go full blast rocketing about, you'll probably get less than 20 miles. A few years down the road, you you'll probably go less as the batteries wear out.
My limited experience tell me that you should probably have a reserve capacity of about half more than what you expect to typically use - even if you seldom expect to go beyond that typical. For longer trips, configure so that you can bring a charger with you and use opportunity charging to extend your range.