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22 lines
1.1 KiB
22 lines
1.1 KiB
Pt = Ph + Pm = max(0, Pp + Pa + k*v + f*wv²) |
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Pp = -m*g*vv |
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Pa = 1/2*m*(vdt² - v0²)/dt = m*a*(v0 + 1/2*a*dt) |
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Pt: total power, in W |
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Ph: mechanical human power, in W |
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Pm: mechanical motor power, in W ; this is not the electrical power, as the motor has an efficiency lower than 1 |
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Pp: potential power (in W, due to potential energy change) |
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Pa: acceleration power (in W, due to kinetic energy change) |
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k: kinetic friction coefficient (dry friction) |
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f: fluid friction coefficient (air friction) |
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v: velocity, in m/s, assumed to be always positive or zero |
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vv: vertical velocity (in m/s, positive when going uphill) |
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wv: wind velocity, in m/s (velocity of the wind relatively to the vehicle, projected on the forward direction, can be approximated by wv = v) |
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g: gravity constant (-9.8 m.s⁻²) |
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m: mass in kg |
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vehicle constants: |
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- mass (m), including driver, passengers and other payloads ; easy to measure directly |
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- kinetic friction coefficient (k) ; difficult to measure, needs to be estimated from monitoring data |
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- fluid friction coefficient (f) ; difficult to measure, needs to be estimated from monitoring data |
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