Jeremy McCreary
Bought it anyway
- Region
- USA
- City
- Carlsbad, CA
What if you put a Creo 2 motor in a Vado SL 1 (SL for short) with no other change? How would battery consumption and rider power requirements compare with those of the stock SL or a Creo 2?
Haven't heard of anyone actually trying it, but these things can be modeled. So I made a spreadsheet model based on (a) official SL 5.0 EQ and Creo 2 Carbon Comp specs, (b) the resistance formulas and parameters in Wilson & Schmidt, 2020, Bicycling Science, 4th ed., and (c) the model of the Specialized power-sensing mid-drive PAS presented here.
Modeled 2 plausible riding scenarios: (1) a 20 mph "dash" on a 0% grade, and (2) an 8 mph "climb" on a 5% grade. Both scenarios assume steady ground speed, constant grade, smooth pavement, still air, cycling clothes, and a ½ hour duration. With 3 ebikes dashing and climbing in all 3 assist modes, I modeled 18 cases in all.
Graphical results
These bar graphs the show the rider power Pr needed to hold scenario speed, with the dash above and the climb below. Blue bars are the stock SL 1 (SSL); red, the modified SL 1 (MSL); and yellow, the Creo 2.
NB: When visually comparing the dash and climb graphs, note that their vertical Pr axes differ slightly in scale.
These bar graphs the show the battery consumption Cu in Wh in all 18 cases — again with the dash above and the climb below.
NB: When visually comparing the dash and climb graphs, note that their vertical Cu axes also differ slightly in scale.
Bottom line
Relative to the SSL, the MSL would save you a little effort in all but the TURBO climb. But it would burn more battery in all cases.
Not much of a payoff. If you really wanted to cut the needed rider contributions in the modeled scenarios, you'd ride the Creo 2 on the drops in both. You'd always use more battery than the SSL on the climb but generally less on the dash.
Other gleanings from the model
1. As expected, the greater the rider contribution, the less battery consumed in all cases. The 2 bikes with the larger Creo 2 motor used more battery than the SSL with the smaller motor in all but the SPORT and TURBO dashes.
2. On the TURBO climb, the needed Pr was greatest for the SSL and roughly equal for the other 2 bikes. In all other cases, the SSL needed the most Pr, and the Creo 2 the least, with the MSL in between. This latter pattern is what you'd expect given the weight, aerodynamic, and motor differences involved. Not sure why the TURBO climb went differently.
3. Both SLs need significantly more Pr and battery in the dash than in the much slower climb, while the Creo 2's needs differed little between dash and climb. The SLs also needed more Pr and battery than the Creo 2 in the dash in all assist modes.
These relationships were driven mainly by the aerodynamics of rider posture. In short, riding the Creo 2 on the drops largely offset the extra power drawn by its larger motor for a given Pr — at least in the modeled dash and climb. By sitting the rider up somewhat, a flat-bar Creo 2 would lose some significant advantages.
4. The MSL used the most battery across the board, but the Creo 2 almost caught up on the climb. The SSL tended to use more battery than the Creo 2 in the dash but always less on the slower climb, where the Creo's lower drag factor did it less good.
Bike considerations
All 3 ebikes would have the same 320 Wh battery and Specialized power-sensing PAS. The main differences would be in their motors, weights, and rider aerodynamics.
The Mahle 1.1 SL motor in the SSL puts out up to 240 W of mechanical power and 35 Nm of torque at a boost factor of 1.8. The stronger, heavier Mahle 1.2 SL motor in the Creo 2 and MSL puts out up to 320 W and 50 Nm at boost 2.3. Go here to see how this data figures into the Specialized mid-drive PAS.
The Creo 2's small but significant weight advantage — especially over the MSL — reduces its tire and slope resistances. Ridden on the drops, as assumed here, the Creo 2 would also have a big aerodynamic advantage over the flat-bar SLs at speed. These differing resistances definitely showed up in the model results.
For assist modes, I used the factory settings in the Universal preset: ECO = 35/35, SPORT = 60/60, and TURBO = 100/100. (Go here to see how these settings work in the Specialized mid-drive PAS.)
Methodogy
For each of the 6 possible bike+scenario combos, I first calculated the 3 main external resistances (air, slope, and tire) using drag factors and rolling resistances adjusted from Table 5.2 in Wilson & Schmidt. From these resistances, I then calculated Pe, the combo's total external power loss.
The power balance needed for steady ground speed means that
Pe = Pd = (Pr + Pm) Ed
where Pd is the net mechanical power delivered to the rear wheel, Pm is mechanical motor power, and Ed = 0.98 is drivetrain efficiency. Here, Pr and Pm are taken at the crank, and Ed is assumed to be the same in all cases. In fact, the dash's smaller cassette cogs would be less efficient, but not by enough to worry about here.
Now, in the Specialized PAS, Pm varies mainly with Pr. The relationship is easily modeled. To enforce power balance in each case, I used trial and error to find the Pr making Pd = Pe. That Pr is the rider power shown in the result graphs.
In each case, the electrical energy Cu consumed over time T = 0.50 hr is just
Cu = Pm T / Ee
where Cu is in Wh, and Ee, the electrical efficiency, is assumed fixed at 0.80. In fact, Ee varies mainly with cadence in Specialized mid-drives, with a peak at 80-90 rpm. Here I've assumed that the rider has the legs and gearing needed to keep the same efficient cadence from case to case.
Haven't heard of anyone actually trying it, but these things can be modeled. So I made a spreadsheet model based on (a) official SL 5.0 EQ and Creo 2 Carbon Comp specs, (b) the resistance formulas and parameters in Wilson & Schmidt, 2020, Bicycling Science, 4th ed., and (c) the model of the Specialized power-sensing mid-drive PAS presented here.
Modeled 2 plausible riding scenarios: (1) a 20 mph "dash" on a 0% grade, and (2) an 8 mph "climb" on a 5% grade. Both scenarios assume steady ground speed, constant grade, smooth pavement, still air, cycling clothes, and a ½ hour duration. With 3 ebikes dashing and climbing in all 3 assist modes, I modeled 18 cases in all.
Graphical results
These bar graphs the show the rider power Pr needed to hold scenario speed, with the dash above and the climb below. Blue bars are the stock SL 1 (SSL); red, the modified SL 1 (MSL); and yellow, the Creo 2.
NB: When visually comparing the dash and climb graphs, note that their vertical Pr axes differ slightly in scale.
These bar graphs the show the battery consumption Cu in Wh in all 18 cases — again with the dash above and the climb below.
NB: When visually comparing the dash and climb graphs, note that their vertical Cu axes also differ slightly in scale.
Bottom line
Relative to the SSL, the MSL would save you a little effort in all but the TURBO climb. But it would burn more battery in all cases.
Not much of a payoff. If you really wanted to cut the needed rider contributions in the modeled scenarios, you'd ride the Creo 2 on the drops in both. You'd always use more battery than the SSL on the climb but generally less on the dash.
Other gleanings from the model
1. As expected, the greater the rider contribution, the less battery consumed in all cases. The 2 bikes with the larger Creo 2 motor used more battery than the SSL with the smaller motor in all but the SPORT and TURBO dashes.
2. On the TURBO climb, the needed Pr was greatest for the SSL and roughly equal for the other 2 bikes. In all other cases, the SSL needed the most Pr, and the Creo 2 the least, with the MSL in between. This latter pattern is what you'd expect given the weight, aerodynamic, and motor differences involved. Not sure why the TURBO climb went differently.
3. Both SLs need significantly more Pr and battery in the dash than in the much slower climb, while the Creo 2's needs differed little between dash and climb. The SLs also needed more Pr and battery than the Creo 2 in the dash in all assist modes.
These relationships were driven mainly by the aerodynamics of rider posture. In short, riding the Creo 2 on the drops largely offset the extra power drawn by its larger motor for a given Pr — at least in the modeled dash and climb. By sitting the rider up somewhat, a flat-bar Creo 2 would lose some significant advantages.
4. The MSL used the most battery across the board, but the Creo 2 almost caught up on the climb. The SSL tended to use more battery than the Creo 2 in the dash but always less on the slower climb, where the Creo's lower drag factor did it less good.
Bike considerations
All 3 ebikes would have the same 320 Wh battery and Specialized power-sensing PAS. The main differences would be in their motors, weights, and rider aerodynamics.
The Mahle 1.1 SL motor in the SSL puts out up to 240 W of mechanical power and 35 Nm of torque at a boost factor of 1.8. The stronger, heavier Mahle 1.2 SL motor in the Creo 2 and MSL puts out up to 320 W and 50 Nm at boost 2.3. Go here to see how this data figures into the Specialized mid-drive PAS.
The Creo 2's small but significant weight advantage — especially over the MSL — reduces its tire and slope resistances. Ridden on the drops, as assumed here, the Creo 2 would also have a big aerodynamic advantage over the flat-bar SLs at speed. These differing resistances definitely showed up in the model results.
For assist modes, I used the factory settings in the Universal preset: ECO = 35/35, SPORT = 60/60, and TURBO = 100/100. (Go here to see how these settings work in the Specialized mid-drive PAS.)
Methodogy
For each of the 6 possible bike+scenario combos, I first calculated the 3 main external resistances (air, slope, and tire) using drag factors and rolling resistances adjusted from Table 5.2 in Wilson & Schmidt. From these resistances, I then calculated Pe, the combo's total external power loss.
The power balance needed for steady ground speed means that
Pe = Pd = (Pr + Pm) Ed
where Pd is the net mechanical power delivered to the rear wheel, Pm is mechanical motor power, and Ed = 0.98 is drivetrain efficiency. Here, Pr and Pm are taken at the crank, and Ed is assumed to be the same in all cases. In fact, the dash's smaller cassette cogs would be less efficient, but not by enough to worry about here.
Now, in the Specialized PAS, Pm varies mainly with Pr. The relationship is easily modeled. To enforce power balance in each case, I used trial and error to find the Pr making Pd = Pe. That Pr is the rider power shown in the result graphs.
In each case, the electrical energy Cu consumed over time T = 0.50 hr is just
Cu = Pm T / Ee
where Cu is in Wh, and Ee, the electrical efficiency, is assumed fixed at 0.80. In fact, Ee varies mainly with cadence in Specialized mid-drives, with a peak at 80-90 rpm. Here I've assumed that the rider has the legs and gearing needed to keep the same efficient cadence from case to case.
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