Energy Consumption for Run Solution

STEP 0: Pre-Calculation Summary
Formula Used
Energy Consumption for Run = 0.5*Tractive Effort*Crest Speed*Time for Acceleration
Erun = 0.5*Ft*Vm*tα
This formula uses 4 Variables
Variables Used
Energy Consumption for Run - (Measured in Joule) - Energy Consumption for Run is the total energy consumed by the train during travel.
Tractive Effort - (Measured in Newton) - Tractive Effort, the term tractive force can either refer to the total traction a vehicle exerts on a surface, or the amount of the total traction that is parallel to the direction of motion.
Crest Speed - (Measured in Meter per Second) - Crest Speed is the maximum speed attained by the train during the run.
Time for Acceleration - (Measured in Second) - The Time for Acceleration formula is defined as the ratio between the maximum speed ( crest speed) of the train Vm and acceleration of the train α .
STEP 1: Convert Input(s) to Base Unit
Tractive Effort: 545 Newton --> 545 Newton No Conversion Required
Crest Speed: 98.35 Kilometer per Hour --> 27.3194444444444 Meter per Second (Check conversion here)
Time for Acceleration: 6.83 Second --> 6.83 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Erun = 0.5*Ft*Vm*tα --> 0.5*545*27.3194444444444*6.83
Evaluating ... ...
Erun = 50846.2670138888
STEP 3: Convert Result to Output's Unit
50846.2670138888 Joule -->14.1239630594136 Watt-Hour (Check conversion here)
FINAL ANSWER
14.1239630594136 14.12396 Watt-Hour <-- Energy Consumption for Run
(Calculation completed in 00.004 seconds)

Credits

Created by Prahalad Singh
Jaipur Engineering College and Research Centre (JECRC), Jaipur
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Birsa Institute of Technology (BIT), Sindri
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8 Power & Energy Calculators

Energy Consumption at Axle of Train
Go Energy Consumption at Axle of Train = 0.01072*(Crest Speed^2/Distance Travelled by Train)*(Accelerating Weight of Train/Weight of Train)+0.2778*Specific Resistance Train*(Diameter of Pinion 1/Distance Travelled by Train)
Energy Available during Regeneration
Go Energy Consumption during Regeneration = 0.01072*(Accelerating Weight of Train/Weight of Train)*(Final Velocity^2-Initial Velocity^2)
Energy Available due to Reduction in Speed
Go Energy Consumption by Train = 0.01072*Accelerating Weight of Train*Final Velocity^2-Initial Velocity^2
Specific Energy Consumption
Go Specific Energy Consumption = Energy required by Train/(Weight of Train*Distance Travelled by Train)
Energy Consumption for Overcoming Gradient and Tracking Resistance
Go Energy Consumption for Overcoming Gradient = Tractive Effort*Velocity*Time Taken by Train
Energy Consumption for Run
Go Energy Consumption for Run = 0.5*Tractive Effort*Crest Speed*Time for Acceleration
Power Output of Motor using Efficiency of Gear Transmission
Go Power Output Train = (Tractive Effort*Velocity)/(3600*Gear Efficiency)
Maximum Power Output from Driving Axle
Go Maximum Output Power = (Tractive Effort*Crest Speed)/3600

15 Electric Train Physics Calculators

Torque of Squirrel Cage Induction Motor
Go Torque = (Constant*Voltage^2*Rotor Resistance) /((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2)
Torque Generated by Scherbius Drive
Go Torque = 1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency))
Wheel Force Function
Go Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel)
Rotating Speed of Driven Wheel
Go Rotating Speed of Driven Wheels = (Speed of Motor Shaft in Powerplant)/(Gear Ratio of Transmission*Gear Ratio of Final Drive)
Aerodynamic Drag Force
Go Drag Force = Drag Coefficient*((Mass Density*Flow Velocity^2)/2)*Reference Area
Schedule Speed
Go Schedule Speed = Distance Travelled by Train/(Running Time of Train+Stop Time of Train)
Energy Consumption for Run
Go Energy Consumption for Run = 0.5*Tractive Effort*Crest Speed*Time for Acceleration
Crest Speed given Time for Acceleration
Go Crest Speed = Time for Acceleration*Acceleration of Train
Maximum Power Output from Driving Axle
Go Maximum Output Power = (Tractive Effort*Crest Speed)/3600
Coefficient of Adhesion
Go Coefficient of Adhesion = Tractive Effort/Weight of Train
Time for Acceleration
Go Time for Acceleration = Crest Speed/Acceleration of Train
Schedule Time
Go Schedule Time = Running Time of Train+Stop Time of Train
Retardation of Train
Go Retardation of Train = Crest Speed/Time for Retardation
Time for Retardation
Go Time for Retardation = Crest Speed/Retardation of Train
Accelerating Weight of Train
Go Accelerating Weight of Train = Weight of Train*1.10

Energy Consumption for Run Formula

Energy Consumption for Run = 0.5*Tractive Effort*Crest Speed*Time for Acceleration
Erun = 0.5*Ft*Vm*tα

What is the rate of acceleration on suburban or urban service ?

The rate of acceleration on suburban or urban service is in the range of 1.6 to 4.0 km per hour per second .

How to Calculate Energy Consumption for Run?

Energy Consumption for Run calculator uses Energy Consumption for Run = 0.5*Tractive Effort*Crest Speed*Time for Acceleration to calculate the Energy Consumption for Run, The energy consumption for run is the amount of energy in kW to propagate the train with respect to the tractive effort and crest speed. Energy Consumption for Run is denoted by Erun symbol.

How to calculate Energy Consumption for Run using this online calculator? To use this online calculator for Energy Consumption for Run, enter Tractive Effort (Ft), Crest Speed (Vm) & Time for Acceleration (tα) and hit the calculate button. Here is how the Energy Consumption for Run calculation can be explained with given input values -> 0.003923 = 0.5*545*27.3194444444444*6.83.

FAQ

What is Energy Consumption for Run?
The energy consumption for run is the amount of energy in kW to propagate the train with respect to the tractive effort and crest speed and is represented as Erun = 0.5*Ft*Vm*tα or Energy Consumption for Run = 0.5*Tractive Effort*Crest Speed*Time for Acceleration. Tractive Effort, the term tractive force can either refer to the total traction a vehicle exerts on a surface, or the amount of the total traction that is parallel to the direction of motion, Crest Speed is the maximum speed attained by the train during the run & The Time for Acceleration formula is defined as the ratio between the maximum speed ( crest speed) of the train Vm and acceleration of the train α .
How to calculate Energy Consumption for Run?
The energy consumption for run is the amount of energy in kW to propagate the train with respect to the tractive effort and crest speed is calculated using Energy Consumption for Run = 0.5*Tractive Effort*Crest Speed*Time for Acceleration. To calculate Energy Consumption for Run, you need Tractive Effort (Ft), Crest Speed (Vm) & Time for Acceleration (tα). With our tool, you need to enter the respective value for Tractive Effort, Crest Speed & Time for Acceleration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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