So you gotcha one of those Panasonic drive bikes? Cool, I've got one too only the bike is a Japanese domestic brand called National. I've looked and asked for over a year about schematic or possible mods to the motor/controller with little to show for it.
Geared for 12MPH top speed the little 2.5 AH battery in my Panasonic lasts about 10 miles in level Manhattan. But, I opened the battery case and added a parallel plug to the battery cellls so now I can add extra 24V pack or two when I need more range.
Yours may be a 36V system but other than that it's probably pretty close to mine. The 24V system shuts down at about 31V and I've been unable to mod anything to allow me to run higher voltage.
I spoke to a dealer who once carried Giants with the Panasonic drive and he said the reason they're so reliable is that nobody seems to know how to mod anything. The brushless motor and software that controls it are very sophisticated and I bet most technical info, if found, will be in Japanese.
I'm currently drawing plans to re-cell the stock battery pack with 24V lithium chemsitry for when the stock NiMh dies and I've got a 16T rear cog to replace the stock 20T or so. Because the motor senses and drives the crankwheel my hope is that a final gearing change will be all that's needed to increase the bike's topend beyond the Japanese domestic limit.
Warmer weather will get me back to work on this platform and reveal a few more test results. Let's stay in touch should we learn anything more about the Panasonic drive and share the details?
IMO - Put extra batteries on there for now - that motor/controller is an AH miser! Compared to my hub motor bike in CA, the Panasonic has twice the range but it's not quite as much fun to ride as a twist throttle hub motor bike.
I'd also leave the 4 spd Nexus hub alone unless you're dealing with very hilly terrain? Electric bikes don't seem to need a lot of gearing since the motor auguments pedal power and it would cost a lot $$$ to go with 7-8 spd cassette or internal on the rear wheel.
But, easy enough to drop the rear cog down a few teeth and with the motor drive helping like it's programmed to do, 'should be able to get some higher top speed results?