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Electric Train Physics

Formulas : 15 Size : 397 kb

Contents of the Traction Physics PDF

List of 15 Traction Physics Formulas

Energy Available during Regeneration

Energy Consumption for Overcoming Gradient and Tracking Resistance

Power Output of Motor using Efficiency of Gear Transmission

Slip of Scherbius Drive given RMS Line Voltage

Total Tractive Effort Required for Propulsion of Train

Tractive Effort at Edge of Pinion

Tractive Effort at Wheel

Tractive Effort during Acceleration

Tractive Effort on Driven Wheel

Tractive Effort Required during Free-Running

Tractive Effort Required for Linear and Angular Acceleration

Tractive Effort Required to Overcome Effect of Gravity

Tractive Effort Required to Overcome Effect of Gravity given Gradient during up Gradient

Tractive Effort Required to Overcome Train Resistance

Tractive Effort Required while going down Gradient

Variables used in Traction Physics PDF

∠D Angle D (Degree)
d Diameter of Wheel (Meter)
d₁ Diameter of Pinion 1 (Meter)
d₂ Diameter of Pinion 2 (Meter)
E_b Back Emf (Volt)
E_G Energy Consumption for Overcoming Gradient (Watt-Hour)
E_r RMS Value of Rotor Side Line Voltage (Volt)
E_R Energy Consumption during Regeneration (Watt-Hour)
F Force (Newton)
F_down Down Gradient Tractive Effort (Newton)
F_free Free Run Tractive Effort (Newton)
F_g Gravity Tractive Effort (Newton)
F_og Gravity Overcome Tractive Effort (Newton)
F_or Resistance Overcome Tractive Effort (Newton)
F_pin Pinion Edge Tractive Effort (Newton)
F_t Tractive Effort (Newton)
F_train Train Tractive Effort (Newton)
F_up Tractive Effort of Up Gradient (Newton)
F_w Wheel Tractive Effort (Newton)
F_α Acceleration Tractive Effort (Newton)
F_ωα Angular Accelration Tractive Effort (Newton)
G Gradient
i Gear Ratio of Transmission
i_o Gear Ratio of Final Drive
P Power Output Train (Watt)
r_d Effective Radius of Wheel (Meter)
R_sp Specific Resistance Train
s Slip
T_pp Torque Output from Powerplant (Newton Meter)
T_train Time Taken by Train (Minute)
u Initial Velocity (Kilometer per Hour)
v Final Velocity (Kilometer per Hour)
V Velocity (Kilometer per Hour)
W Weight of Train (Ton (Assay) (US))
W_e Accelerating Weight of Train (Ton (Assay) (US))
α Acceleration of Train (Kilometer per Hour Second)
η_dl Efficiency of Driveline
η_gear Gear Efficiency
θ Firing Angle (Degree)
τ_e Engine Torque (Newton Meter)

Constants, Functions and Measurements used in Traction Physics PDF

Constant: [g], 9.80665
Gravitational acceleration on Earth
Function: cos, cos(Angle)
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Function: modulus, modulus
Modulus of a number is the remainder when that number is divided by another number.
Function: sin, sin(Angle)
Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.
Measurement: Length in Meter (m)
Length Unit Conversion
Measurement: Weight in Ton (Assay) (US) (AT (US))
Weight Unit Conversion
Measurement: Time in Minute (min)
Time Unit Conversion
Measurement: Speed in Kilometer per Hour (km/h)
Speed Unit Conversion
Measurement: Acceleration in Kilometer per Hour Second (km/h*s)
Acceleration Unit Conversion
Measurement: Energy in Watt-Hour (W*h)
Energy Unit Conversion
Measurement: Power in Watt (W)
Power Unit Conversion
Measurement: Force in Newton (N)
Force Unit Conversion
Measurement: Angle in Degree (°)
Angle Unit Conversion
Measurement: Electric Potential in Volt (V)
Electric Potential Unit Conversion
Measurement: Torque in Newton Meter (N*m)
Torque Unit Conversion

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