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 โ‰ˆ 0.002093 Watt-Hour <-- Energy Consumption during Regeneration
(Calculation completed in 00.004 seconds)

Credits

Created by Prahalad Singh
Jaipur Engineering College and Research Centre (JECRC), Jaipur
Prahalad Singh has created this Calculator and 100+ more calculators!
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

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 Traction Physics Calculators

Tractive Effort on Driven Wheel
Go Wheel Tractive Effort = (Gear Ratio of Transmission*Gear Ratio of Final Drive*(Efficiency of Driveline/100)*Torque Output from Powerplant)/Effective Radius of Wheel
Energy Available during Regeneration
Go Energy Consumption during Regeneration = 0.01072*(Accelerating Weight of Train/Weight of Train)*(Final Velocity^2-Initial Velocity^2)
Tractive Effort during Acceleration
Go Acceleration Tractive Effort = (277.8*Accelerating Weight of Train*Acceleration of Train)+(Weight of Train*Specific Resistance Train)
Slip of Scherbius Drive given RMS Line Voltage
Go Slip = (Back Emf/RMS Value of Rotor Side Line Voltage)*modulus(cos(Firing Angle))
Tractive Effort Required while going down Gradient
Go Down Gradient Tractive Effort = (Weight of Train*Specific Resistance Train)-(98.1*Weight of Train*Gradient)
Tractive Effort Required during Free-Running
Go Free Run Tractive Effort = (98.1*Weight of Train*Gradient)+(Weight of Train*Specific Resistance Train)
Total Tractive Effort Required for Propulsion of Train
Go Train Tractive Effort = Resistance Overcome Tractive Effort+Gravity Overcome Tractive Effort+Force
Tractive Effort Required to Overcome Effect of Gravity
Go Gravity Tractive Effort = 1000*Weight of Train*[g]*sin(Angle D)
Tractive Effort at Wheel
Go Wheel Tractive Effort = (Pinion Edge Tractive Effort*Diameter of Pinion 2)/Diameter of Wheel
Energy Consumption for Overcoming Gradient and Tracking Resistance
Go Energy Consumption for Overcoming Gradient = Tractive Effort*Velocity*Time Taken by Train
Power Output of Motor using Efficiency of Gear Transmission
Go Power Output Train = (Tractive Effort*Velocity)/(3600*Gear Efficiency)
Tractive Effort Required for Linear and Angular Acceleration
Go Angular Accelration Tractive Effort = 27.88*Weight of Train*Acceleration of Train
Tractive Effort Required to Overcome Train Resistance
Go Resistance Overcome Tractive Effort = Specific Resistance Train*Weight of Train
Tractive Effort at Edge of Pinion
Go Pinion Edge Tractive Effort = (2*Engine Torque)/Diameter of Pinion 1
Tractive Effort Required to Overcome Effect of Gravity given Gradient during up Gradient
Go Tractive Effort of Up Gradient = 98.1*Weight of Train*Gradient

Energy Available during Regeneration Formula

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.
Let Others Know
โœ–
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!