In recent days I've been testing how little battery power I need to get to work.
For the roughly 20-mile trip, consisting of 15 miles of highway and 5 miles of urban roads, I use up about 22% charge (according to the SOC gauge), not using the AC or heater. The economy reading on the dash display shows me some 4.1 mi/kWh for that trip.
But: if I calculate based on distance covered vs. energy used (i.e. kWh) I get a completely different value.
My first year annual service check-up back in April reported a battery capacity of 50.2 Ah. That converts to about 17.3 kWh (P * t = U * I * t <=> P * t = 93 * 3.7V * 50.2 Ah = 17,273.82 Wh ~ 17.3 kWh; 93 is the number of battery cells, 3.7 V the voltage of each cell).
22% of 17.3 kWh is 3.8 kWh. Dividing that into the 20-mile distance I covered, I get 5.25 mi/kWh, quite a bit off from the displayed 4.1 mi/kWh.
If I calculate the reverse, i.e. take the displayed economy 4.1 mi/kWh and divide that into the distance covered, 20mi/4.1mi/kWh I get about 4.9 kWh used for the 20-mile trip, but that's about 28% of 17.3 kWh, my total battery capacity.
I understand that I don't have the full 17.3 kWh battery capacity available, since battery management doesn't charge to 100% and doesn't allow discharging to 0%. I don't know what the actual usable capacity is, but let's assume it would be 80% of my battery's capacity. 80% of 17.3 kWh is about 13.8 kWh.
If the SOC gauge's 100% were equivalent to 13.8 kWh, then my used 22% of that would be about 3 kWh. With the 20 miles covered, that would be equivalent to about 6.6 mi/kWh. So that figure is even more off from the displayed 4.1 mi/kWh.
Where am I off with my calculation?
For the roughly 20-mile trip, consisting of 15 miles of highway and 5 miles of urban roads, I use up about 22% charge (according to the SOC gauge), not using the AC or heater. The economy reading on the dash display shows me some 4.1 mi/kWh for that trip.
But: if I calculate based on distance covered vs. energy used (i.e. kWh) I get a completely different value.
My first year annual service check-up back in April reported a battery capacity of 50.2 Ah. That converts to about 17.3 kWh (P * t = U * I * t <=> P * t = 93 * 3.7V * 50.2 Ah = 17,273.82 Wh ~ 17.3 kWh; 93 is the number of battery cells, 3.7 V the voltage of each cell).
22% of 17.3 kWh is 3.8 kWh. Dividing that into the 20-mile distance I covered, I get 5.25 mi/kWh, quite a bit off from the displayed 4.1 mi/kWh.
If I calculate the reverse, i.e. take the displayed economy 4.1 mi/kWh and divide that into the distance covered, 20mi/4.1mi/kWh I get about 4.9 kWh used for the 20-mile trip, but that's about 28% of 17.3 kWh, my total battery capacity.
I understand that I don't have the full 17.3 kWh battery capacity available, since battery management doesn't charge to 100% and doesn't allow discharging to 0%. I don't know what the actual usable capacity is, but let's assume it would be 80% of my battery's capacity. 80% of 17.3 kWh is about 13.8 kWh.
If the SOC gauge's 100% were equivalent to 13.8 kWh, then my used 22% of that would be about 3 kWh. With the 20 miles covered, that would be equivalent to about 6.6 mi/kWh. So that figure is even more off from the displayed 4.1 mi/kWh.
Where am I off with my calculation?