Power Supply required for given Spark Power Calculator

✖Energy delivered per spark is the energy produced for EDM.ⓘ Energy Delivered per Spark [P]			+10% -10%
✖Resistance of the charging circuit is the resistance of the charging circuit.ⓘ Resistance of the Charging Circuit [R_c]			+10% -10%
✖Time Constant of the response represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate.ⓘ Time Constant [𝜏]			+10% -10%
✖Time elapsed after a particular task is started.ⓘ Time Elapsed [t]			+10% -10%

✖Voltage of power supply is the voltage required to charge a given device within given time.ⓘ Power Supply required for given Spark Power [V₀]

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Formula

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Power Supply required for given Spark Power

Formula

`"V"_{"0"} = sqrt(("P"*"R"_{"c"})/("𝜏"*(1/2-exp(-"t"/"𝜏")+0.5*exp(-2*"t"/"𝜏"))))`

Example

`"9.999942V"=sqrt(("355.19W"*"0.18Ω")/("100s"*(1/2-exp(-"12s"/"100s")+0.5*exp(-2*"12s"/"100s"))))`

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Power Supply required for given Spark Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Voltage of Power Supply = sqrt((Energy Delivered per Spark*Resistance of the Charging Circuit)/(Time Constant*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant))))
V₀ = sqrt((P*R_c)/(𝜏*(1/2-exp(-t/𝜏)+0.5*exp(-2*t/𝜏))))
This formula uses 2 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(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.
Energy Delivered per Spark - (Measured in Watt) - Energy delivered per spark is the energy produced for EDM.
Resistance of the Charging Circuit - (Measured in Ohm) - Resistance of the charging circuit is the resistance of the charging circuit.
Time Constant - (Measured in Second) - Time Constant of the response represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate.
Time Elapsed - (Measured in Second) - Time elapsed after a particular task is started.

STEP 1: Convert Input(s) to Base Unit

Energy Delivered per Spark: 355.19 Watt --> 355.19 Watt No Conversion Required
Resistance of the Charging Circuit: 0.18 Ohm --> 0.18 Ohm No Conversion Required
Time Constant: 100 Second --> 100 Second No Conversion Required
Time Elapsed: 12 Second --> 12 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₀ = sqrt((P*R_c)/(𝜏*(1/2-exp(-t/𝜏)+0.5*exp(-2*t/𝜏)))) --> sqrt((355.19*0.18)/(100*(1/2-exp(-12/100)+0.5*exp(-2*12/100))))

Evaluating ... ...

V₀ = 9.99994227230491

STEP 3: Convert Result to Output's Unit

9.99994227230491 Volt --> No Conversion Required

FINAL ANSWER

9.99994227230491 ≈ 9.999942 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) » System Analysis in EDM » Relaxation Circuit used for Generating Pulses in EDM » Power Delivered per Spark » Power Supply required for given Spark Power

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

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< 3 Power Delivered per Spark Calculators

Power Supply required for given Spark Power

Go Voltage of Power Supply = sqrt((Energy Delivered per Spark*Resistance of the Charging Circuit)/(Time Constant*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant))))

Energy Delivered per Spark from Resistance Charging Circuit

Go Energy Delivered per Spark = (Voltage of Power Supply^2*Time Constant)/Resistance of the Charging Circuit*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant))

Resistance of Charging Circuit from Voltage Supply

Go Resistance of the Charging Circuit = (Voltage of Power Supply^2*Time Constant)/Energy Delivered per Spark*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant))

Power Supply required for given Spark Power 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 Power Supply required for given Spark Power?

Power Supply required for given Spark Power calculator uses Voltage of Power Supply = sqrt((Energy Delivered per Spark*Resistance of the Charging Circuit)/(Time Constant*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant)))) to calculate the Voltage of Power Supply, The Power supply required for given spark power formula is defined as the voltage of power supply used to charge the relaxation circuit used to provide spark in unconventional EDM. Voltage of Power Supply is denoted by V₀ symbol.

How to calculate Power Supply required for given Spark Power using this online calculator? To use this online calculator for Power Supply required for given Spark Power, enter Energy Delivered per Spark (P), Resistance of the Charging Circuit (R_c), Time Constant (𝜏) & Time Elapsed (t) and hit the calculate button. Here is how the Power Supply required for given Spark Power calculation can be explained with given input values -> 9.999942 = sqrt((355.19*0.18)/(100*(1/2-exp(-12/100)+0.5*exp(-2*12/100)))).

FAQ

What is Power Supply required for given Spark Power?

The Power supply required for given spark power formula is defined as the voltage of power supply used to charge the relaxation circuit used to provide spark in unconventional EDM and is represented as V₀ = sqrt((P*R_c)/(𝜏*(1/2-exp(-t/𝜏)+0.5*exp(-2*t/𝜏)))) or Voltage of Power Supply = sqrt((Energy Delivered per Spark*Resistance of the Charging Circuit)/(Time Constant*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant)))). Energy delivered per spark is the energy produced for EDM, Resistance of the charging circuit is the resistance of the charging circuit, Time Constant of the response represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate & Time elapsed after a particular task is started.

How to calculate Power Supply required for given Spark Power?

The Power supply required for given spark power formula is defined as the voltage of power supply used to charge the relaxation circuit used to provide spark in unconventional EDM is calculated using Voltage of Power Supply = sqrt((Energy Delivered per Spark*Resistance of the Charging Circuit)/(Time Constant*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant)))). To calculate Power Supply required for given Spark Power, you need Energy Delivered per Spark (P), Resistance of the Charging Circuit (R_c), Time Constant (𝜏) & Time Elapsed (t). With our tool, you need to enter the respective value for Energy Delivered per Spark, Resistance of the Charging Circuit, Time Constant & Time Elapsed 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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