A Validated Physics-Based Powertrain Model for an Electric Motorcycle in Sub-Saharan Africa
Abstract
1. Introduction
- 1.
- Characterise motor and inverter efficiencies from dynamometer tests to form empirical efficiency maps;
- 2.
- Develop a validated physics-based simulator for measured drive cycles;
- 3.
- Quantify sensitivity to modelled design parameters;
- 4.
- Assess the impact of representative drive-cycle conditions.
2. Related Work
2.1. Electric Minibus Taxi Models
2.2. Electric Two-Wheeler Models
2.3. Simplified EV Powertrain Model
3. Methodology
3.1. Selection of Modelling Approach
3.2. Data Inputs and Pre-Processing
3.3. Vehicle Dynamics and Power Flow
3.4. Speed and Grade
3.5. Model Parameters
3.6. Mechanical Brakes Modelling
3.7. Component Characterisation
4. Results
4.1. Motor and Inverter Efficiency Maps
4.2. Simulator Validation
Discussion of Results
4.3. Experimental Analyses
4.3.1. Component Parameter Sensitivity
4.3.2. Impact of Different Riding Conditions
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| Parameter | Value | Source/Notes | |
|---|---|---|---|
| Frontal area | A | 0.773 m2 | Measured (ImageJ Version 1.54p) |
| Drag coefficient | 0.5 | 0.5–0.9 (manufacturer), tuned | |
| Gross vehicle mass | m | 234–369 kg | From trips’ metadata |
| Chain-drive efficiency | 0.931 | [8] | |
| Sprocket ratio | Manufacturer | ||
| Wheel radius | 0.2859 m | Manufacturer, tuned | |
| Air density | 0.9896 kg/m3 | [18] | |
| Rolling resistance coefficient | 0.01 | [19], good asphalt | |
| Auxiliary power | 35 W | Manufacturer | |
| Variable/Map | Sigma (Samples) | Kernel Size (Samples) |
|---|---|---|
| Vehicle speed | 1 | 7 |
| Per-second distance | 4 | 25 |
| Elevation difference | 10 | 61 |
| Motor efficiency map | 0.7 | |
| Inverter efficiency map | 0.1 |
| Trip | Scenario | MAE [W] | RMSE [W] | NRMSE | r | p |
|---|---|---|---|---|---|---|
| 1 | City | 585.2 | 948.2 | 0.1017 | 0.9052 | 0 |
| 2 | Highway | 756.6 | 1104.5 | 0.1185 | 0.9105 | 0 |
| 3 | City | 605.2 | 896.9 | 0.1167 | 0.9074 | 0 |
| 4 | City | 500.3 | 683.6 | 0.0948 | 0.8730 | 0 |
| 5 | Highway | 663.0 | 930.4 | 0.0993 | 0.9097 | 0 |
| 6 | Highway | 811.1 | 1095.3 | 0.1253 | 0.8964 | 0 |
| Trip | Scenario | Duration [hh:mm:ss] | Distance [km] | Avg Spd [km/h] | Simulated [Wh/km] | Measured [Wh/km] | Err [%] |
|---|---|---|---|---|---|---|---|
| 1 | City | 1:55:19 | 61.7 | 32.6 | 41.8 | 41.5 | 0.7 |
| 2 | Highway | 0:44:57 | 44.8 | 60.5 | 55.4 | 51.7 | 7.2 |
| 3 | City | 1:30:35 | 56.5 | 37.2 | 40.3 | 38.4 | 4.9 |
| 4 | City | 1:57:11 | 75.5 | 39.1 | 33.6 | 30.2 | 11.3 |
| 5 | Highway | 0:50:37 | 52.9 | 62.1 | 45.7 | 44.6 | 2.5 |
| 6 | Highway | 0:28:30 | 28.9 | 62.8 | 45.9 | 45.7 | 0.4 |
| Parameter | Low | Baseline | High |
|---|---|---|---|
| Sprocket ratio | 4.582 | 5.091 (56/11) | 5.6 |
| Wheel radius [m] | 0.2573 | 0.2859 | 0.3144 |
| Drag coefficient | 0.45 | 0.50 | 0.55 |
| Efficiency map scaling | Low | Baseline | High |
| Inverter map scale | 0.8182 | 0.9091 (1/1.1) | 1.0000 |
| Motor map scale | 0.8182 | 0.9091 (1/1.1) | 1.0000 |
| Driving conditions | Baseline | Change | |
| Hilly terrain (up and down) | – | = 0° | ±5° |
| Passenger | – | kg | 160 kg |
| Low drag posture | – | m2 | m2 |
| Rural/gravel terrain | – |
| Δ Cons. [Wh/km] | Δ Eff. [Wh/km] | Δ Cons. [Wh/km] | Δ Eff. [km/kWh] (%) | |
|---|---|---|---|---|
| Parameter | Low | High | ||
| Sprocket ratio | +8.458 | −4.02 (−17%) | −5.782 | +3.834 (+16%) |
| Wheel radius [m] | −6.338 | +4.268 (+18%) | +7.492 | −3.631 (−15%) |
| Drag coefficient | −1.179 | +0.693 (+3%) | +1.176 | −0.653 (−3%) |
| Efficiency map scaling | Low | High | ||
| Inverter map scale | +7.474 | −2.254 (−12%) | −6.115 | +2.368 (+13%) |
| Motor map scale | +7.763 | −2.33 (−13%) | −6.341 | +2.467 (+13%) |
| Driving conditions | City (Trip 1) | Highway (Trip 6) | ||
| Hilly terrain (up and down) | +7.126 | −4.881 (−17%) | +6.068 | −2.742 (−12%) |
| Passenger | +4.141 | −3.054 (−11%) | +2.681 | −1.299 (−6%) |
| Low drag posture | −7.022 | +7.259 (+25%) | −15.335 | +12.085 (+53%) |
| Rural/gravel terrain | +15.992 | −9.042 (−31%) | +17.350 | −6.401 (−28%) |
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© 2026 by the authors. Published by MDPI on behalf of the World Electric Vehicle Association. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Share and Cite
Adams, H.; Botha, S.; Booysen, M.J. A Validated Physics-Based Powertrain Model for an Electric Motorcycle in Sub-Saharan Africa. World Electr. Veh. J. 2026, 17, 90. https://doi.org/10.3390/wevj17020090
Adams H, Botha S, Booysen MJ. A Validated Physics-Based Powertrain Model for an Electric Motorcycle in Sub-Saharan Africa. World Electric Vehicle Journal. 2026; 17(2):90. https://doi.org/10.3390/wevj17020090
Chicago/Turabian StyleAdams, Heath, Stefan Botha, and Marthinus Johannes Booysen. 2026. "A Validated Physics-Based Powertrain Model for an Electric Motorcycle in Sub-Saharan Africa" World Electric Vehicle Journal 17, no. 2: 90. https://doi.org/10.3390/wevj17020090
APA StyleAdams, H., Botha, S., & Booysen, M. J. (2026). A Validated Physics-Based Powertrain Model for an Electric Motorcycle in Sub-Saharan Africa. World Electric Vehicle Journal, 17(2), 90. https://doi.org/10.3390/wevj17020090

