Input power supply to achieve given MRR Calculator

✖Voltage at any time t is the charging voltage in the circuit at any given time.ⓘ Voltage at any Time t [V_c]			+10% -10%
✖Proportionality constant of MRR is a proportionality constant defined to calculate MRR.ⓘ Proportionality Constant of MRR [K_mrr]			+10% -10%
✖Resistance of the charging circuit is the resistance of the charging circuit.ⓘ Resistance of the Charging Circuit [R_c]			+10% -10%
✖Metal removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.ⓘ Metal Removal Rate [Z_w]			+10% -10%

✖Voltage of power supply is the voltage required to charge a given device within given time.ⓘ Input power supply to achieve given MRR [V₀]

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Formula

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Input power supply to achieve given MRR

Formula

`"V"_{"0"} = "V"_{"c"}/(1-exp(-("K"_{"mrr"}*"V"_{"c"}^2)/(2*"R"_{"c"}*"Z"_{"w"})))`

Example

`"10.6347V"="2V"/(1-exp(-("1.5"*("2V")^2)/(2*"0.18Ω"*"80m³/s")))`

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Input power supply to achieve given MRR Solution

STEP 0: Pre-Calculation Summary

Formula Used

Voltage of Power Supply = Voltage at any Time t/(1-exp(-(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Resistance of the Charging Circuit*Metal Removal Rate)))
V₀ = V_c/(1-exp(-(K_mrr*V_c^2)/(2*R_c*Z_w)))
This formula uses 1 Functions, 5 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Voltage of Power Supply - (Measured in Volt) - Voltage of power supply is the voltage required to charge a given device within given time.
Voltage at any Time t - (Measured in Volt) - Voltage at any time t is the charging voltage in the circuit at any given time.
Proportionality Constant of MRR - Proportionality constant of MRR is a proportionality constant defined to calculate MRR.
Resistance of the Charging Circuit - (Measured in Ohm) - Resistance of the charging circuit is the resistance of the charging circuit.
Metal Removal Rate - (Measured in Cubic Meter per Second) - Metal removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.

STEP 1: Convert Input(s) to Base Unit

Voltage at any Time t: 2 Volt --> 2 Volt No Conversion Required
Proportionality Constant of MRR: 1.5 --> No Conversion Required
Resistance of the Charging Circuit: 0.18 Ohm --> 0.18 Ohm No Conversion Required
Metal Removal Rate: 80 Cubic Meter per Second --> 80 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₀ = V_c/(1-exp(-(K_mrr*V_c^2)/(2*R_c*Z_w))) --> 2/(1-exp(-(1.5*2^2)/(2*0.18*80)))

Evaluating ... ...

V₀ = 10.6346971308021

STEP 3: Convert Result to Output's Unit

10.6346971308021 Volt --> No Conversion Required

FINAL ANSWER

10.6346971308021 ≈ 10.6347 Volt <-- Voltage of Power Supply

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Unconventional machining processes » Electro Discharge Machining (EDM) » Material removal rate (MRR) » Input power supply to achieve given MRR

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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National Institute Of Technology (NIT), Hamirpur

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< 7 Material removal rate (MRR) Calculators

Proportionality constant for MRR

Go Proportionality Constant of MRR = -(Material Removal Rate*(2*Resistance of the Charging Circuit*ln(1-(Voltage at any Time t/Voltage of Power Supply))))/Voltage at any Time t^2

Material removal rate, MRR

Go Material Removal Rate = -(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Resistance of the Charging Circuit*ln(1-(Voltage at any Time t/Voltage of Power Supply)))

Resistance of circuit

Go Resistance of the Charging Circuit = -(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Material Removal Rate*ln(1-(Voltage at any Time t/Voltage of Power Supply)))

Input power supply to achieve given MRR

Go Voltage of Power Supply = Voltage at any Time t/(1-exp(-(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Resistance of the Charging Circuit*Metal Removal Rate)))

Metal removal rate from volume of crater

Go Metal Removal Rate = Volume of Crater*Frequency of Charging

Frequency of charging from volume crater

Go Frequency of Charging = Metal Removal Rate/Volume of Crater

Volume of crater from MRR

Go Volume of Crater = Metal Removal Rate/Frequency of Charging

Input power supply to achieve given MRR Formula

How the spark is produced in Electric Discharge Machining ?

A typical circuit used for supplying the power to an EDM machine is named as the relaxation circuit. The circuit consists of a DC power source, which charges the capacitor ‘C’ across a resistance ‘Rc’. Initially when the capacitor is in the uncharged condition, when the power supply is on with a voltage of Vo, a heavy current, ic, will flow in the circuit as shown to charge the capacitor. The relaxation circuit as explained above was used in the early EDM machines. They are limited to the low material removal rates for fine finish, which limits its application. This can be explained from the fact that the time spent on charging the capacitor is quite large during which time, no machining can actually take place. Thus the material removal rates are low.

How to Calculate Input power supply to achieve given MRR?

Input power supply to achieve given MRR calculator uses Voltage of Power Supply = Voltage at any Time t/(1-exp(-(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Resistance of the Charging Circuit*Metal Removal Rate))) to calculate the Voltage of Power Supply, The Input power supply to achieve given MRR formula is defined as the voltage of the power supply used to charge the relaxation circuit used to provide a spark in unconventional EDM. Voltage of Power Supply is denoted by V₀ symbol.

How to calculate Input power supply to achieve given MRR using this online calculator? To use this online calculator for Input power supply to achieve given MRR, enter Voltage at any Time t (V_c), Proportionality Constant of MRR (K_mrr), Resistance of the Charging Circuit (R_c) & Metal Removal Rate (Z_w) and hit the calculate button. Here is how the Input power supply to achieve given MRR calculation can be explained with given input values -> 2 = 2/(1-exp(-(1.5*2^2)/(2*0.18*80))).

FAQ

What is Input power supply to achieve given MRR?

The Input power supply to achieve given MRR formula is defined as the voltage of the power supply used to charge the relaxation circuit used to provide a spark in unconventional EDM and is represented as V₀ = V_c/(1-exp(-(K_mrr*V_c^2)/(2*R_c*Z_w))) or Voltage of Power Supply = Voltage at any Time t/(1-exp(-(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Resistance of the Charging Circuit*Metal Removal Rate))). Voltage at any time t is the charging voltage in the circuit at any given time, Proportionality constant of MRR is a proportionality constant defined to calculate MRR, Resistance of the charging circuit is the resistance of the charging circuit & Metal removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.

How to calculate Input power supply to achieve given MRR?

The Input power supply to achieve given MRR formula is defined as the voltage of the power supply used to charge the relaxation circuit used to provide a spark in unconventional EDM is calculated using Voltage of Power Supply = Voltage at any Time t/(1-exp(-(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Resistance of the Charging Circuit*Metal Removal Rate))). To calculate Input power supply to achieve given MRR, you need Voltage at any Time t (V_c), Proportionality Constant of MRR (K_mrr), Resistance of the Charging Circuit (R_c) & Metal Removal Rate (Z_w). With our tool, you need to enter the respective value for Voltage at any Time t, Proportionality Constant of MRR, Resistance of the Charging Circuit & Metal Removal Rate 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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