Energy Available during Regeneration Solution

STEP 0: Pre-Calculation Summary
Formula Used
Energy Consumption during Regeneration = 0.01072*(Accelerating Weight of Train/Weight of Train)*(Final Velocity^2-Initial Velocity^2)
ER = 0.01072*(We/W)*(v^2-u^2)
This formula uses 5 Variables
Variables Used
Energy Consumption during Regeneration - (Measured in Joule) - Energy consumption during Regeneration refers to the amount of energy that is recovered or captured during the braking or deceleration of a moving object, such as a vehicle.
Accelerating Weight of Train - (Measured in Kilogram) - Accelerating Weight of Train is the effective weight of train that has angular acceleration due to the rotational inertia including the dead weight of the train.
Weight of Train - (Measured in Kilogram) - Weight of Train is total weight of the train in tonns.
Final Velocity - (Measured in Meter per Second) - Final Velocity is defined as a vector quantity that measures the speed and direction of a moving body after it has reached its maximum acceleration.
Initial Velocity - (Measured in Meter per Second) - Initial Velocity is the velocity at time interval t = 0 and it is represented by u. It is the velocity at which the motion starts.
STEP 1: Convert Input(s) to Base Unit
Accelerating Weight of Train: 33000 Ton (Assay) (US) --> 962.500110009752 Kilogram (Check conversion ​here)
Weight of Train: 30000 Ton (Assay) (US) --> 875.000100008866 Kilogram (Check conversion ​here)
Final Velocity: 144 Kilometer per Hour --> 40 Meter per Second (Check conversion ​here)
Initial Velocity: 111.6 Kilometer per Hour --> 31 Meter per Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ER = 0.01072*(We/W)*(v^2-u^2) --> 0.01072*(962.500110009752/875.000100008866)*(40^2-31^2)
Evaluating ... ...
ER = 7.535088
STEP 3: Convert Result to Output's Unit
7.535088 Joule -->0.00209308 Watt-Hour (Check conversion ​here)
FINAL ANSWER
0.00209308 0.002093 Watt-Hour <-- Energy Consumption during Regeneration
(Calculation completed in 00.004 seconds)

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Created by Prahalad Singh
Jaipur Engineering College and Research Centre (JECRC), Jaipur
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Power and Energy Calculators

Energy Consumption at Axle of Train
​ LaTeX ​ 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
​ LaTeX ​ Go Energy Consumption during Regeneration = 0.01072*(Accelerating Weight of Train/Weight of Train)*(Final Velocity^2-Initial Velocity^2)
Specific Energy Consumption
​ LaTeX ​ Go Specific Energy Consumption = Energy required by Train/(Weight of Train*Distance Travelled by Train)
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Traction Physics Calculators

Tractive Effort during Acceleration
​ LaTeX ​ Go Acceleration Tractive Effort = (277.8*Accelerating Weight of Train*Acceleration of Train)+(Weight of Train*Specific Resistance Train)
Total Tractive Effort Required for Propulsion of Train
​ LaTeX ​ Go Train Tractive Effort = Resistance Overcome Tractive Effort+Gravity Overcome Tractive Effort+Force
Tractive Effort at Wheel
​ LaTeX ​ Go Wheel Tractive Effort = (Pinion Edge Tractive Effort*Diameter of Pinion 2)/Diameter of Wheel
Tractive Effort at Edge of Pinion
​ LaTeX ​ Go Pinion Edge Tractive Effort = (2*Engine Torque)/Diameter of Pinion 1

Energy Available during Regeneration Formula

​LaTeX ​Go
Energy Consumption during Regeneration = 0.01072*(Accelerating Weight of Train/Weight of Train)*(Final Velocity^2-Initial Velocity^2)
ER = 0.01072*(We/W)*(v^2-u^2)

What is the source of energy of train?

Petroleum is the main source of energy for transportation. Electricity provided less than 1% of total transportation sector energy use and nearly all of that in mass transit systems.

How to Calculate Energy Available during Regeneration?

Energy Available during Regeneration calculator uses Energy Consumption during Regeneration = 0.01072*(Accelerating Weight of Train/Weight of Train)*(Final Velocity^2-Initial Velocity^2) to calculate the Energy Consumption during Regeneration, The energy available during regeneration formula is defined as the amount of the energy in watt-hour/ ton available when there is a negative change in the velocity of the train which means a change in retardation. Energy Consumption during Regeneration is denoted by ER symbol.

How to calculate Energy Available during Regeneration using this online calculator? To use this online calculator for Energy Available during Regeneration, enter Accelerating Weight of Train (We), Weight of Train (W), Final Velocity (v) & Initial Velocity (u) and hit the calculate button. Here is how the Energy Available during Regeneration calculation can be explained with given input values -> 5.8E-7 = 0.01072*(962.500110009752/875.000100008866)*(40^2-31^2).

FAQ

What is Energy Available during Regeneration?
The energy available during regeneration formula is defined as the amount of the energy in watt-hour/ ton available when there is a negative change in the velocity of the train which means a change in retardation and is represented as ER = 0.01072*(We/W)*(v^2-u^2) or Energy Consumption during Regeneration = 0.01072*(Accelerating Weight of Train/Weight of Train)*(Final Velocity^2-Initial Velocity^2). Accelerating Weight of Train is the effective weight of train that has angular acceleration due to the rotational inertia including the dead weight of the train, Weight of Train is total weight of the train in tonns, Final Velocity is defined as a vector quantity that measures the speed and direction of a moving body after it has reached its maximum acceleration & Initial Velocity is the velocity at time interval t = 0 and it is represented by u. It is the velocity at which the motion starts.
How to calculate Energy Available during Regeneration?
The energy available during regeneration formula is defined as the amount of the energy in watt-hour/ ton available when there is a negative change in the velocity of the train which means a change in retardation is calculated using Energy Consumption during Regeneration = 0.01072*(Accelerating Weight of Train/Weight of Train)*(Final Velocity^2-Initial Velocity^2). To calculate Energy Available during Regeneration, you need Accelerating Weight of Train (We), Weight of Train (W), Final Velocity (v) & Initial Velocity (u). With our tool, you need to enter the respective value for Accelerating Weight of Train, Weight of Train, Final Velocity & Initial Velocity 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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