Input Power for Step down Chopper Calculator

✖Total Switching Period Time is the Total Switching Period, which Includes both the On-time and Off-time of the Switch.ⓘ Total Switching Period [T_tot]			+10% -10%
✖Source voltage is defined as the voltage or potential difference of the source which is supplying voltage to the chopper.ⓘ Source Voltage [V_s]			+10% -10%
✖Chopper Drop refers to the Voltage drop or Voltage Loss that Occurs Across the Semiconductor Switches (such as MOSFETs or IGBTs) Within a Chopper Circuit during its Operation.ⓘ Chopper Drop [V_d]			+10% -10%
✖Resistance is defined as the resistance experienced by either the source or load connected to the circuit.ⓘ Resistance [R]			+10% -10%
✖A Duty Cycle or power cycle is the fraction of one period in which a signal or system is active.ⓘ Duty Cycle [d]			+10% -10%

✖The Input Power for a Step-Down Chopper, also known as a Buck Chopper, refers to the Electrical Power Supplied to the Chopper Circuit from the Input Source.ⓘ Input Power for Step down Chopper [P_in]

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Formula

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Input Power for Step down Chopper

Formula

`"P"_{"in"} = (1/"T"_{"tot"})*int(("V"_{"s"}*(("V"_{"s"}-"V"_{"d"})/"R")),x,0,("d"*"T"_{"tot"}))`

Example

`"136.5W"=(1/"1.2s")*int(("100V"*(("100V"-"2.5V")/"40Ω")),x,0,("0.56"*"1.2s"))`

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Input Power for Step down Chopper Solution

STEP 0: Pre-Calculation Summary

Formula Used

Input Power = (1/Total Switching Period)*int((Source Voltage*((Source Voltage-Chopper Drop)/Resistance)),x,0,(Duty Cycle*Total Switching Period))
P_in = (1/T_tot)*int((V_s*((V_s-V_d)/R)),x,0,(d*T_tot))
This formula uses 1 Functions, 6 Variables

Functions Used

int - The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis., int(expr, arg, from, to)

Variables Used

Input Power - (Measured in Watt) - The Input Power for a Step-Down Chopper, also known as a Buck Chopper, refers to the Electrical Power Supplied to the Chopper Circuit from the Input Source.
Total Switching Period - (Measured in Second) - Total Switching Period Time is the Total Switching Period, which Includes both the On-time and Off-time of the Switch.
Source Voltage - (Measured in Volt) - Source voltage is defined as the voltage or potential difference of the source which is supplying voltage to the chopper.
Chopper Drop - (Measured in Volt) - Chopper Drop refers to the Voltage drop or Voltage Loss that Occurs Across the Semiconductor Switches (such as MOSFETs or IGBTs) Within a Chopper Circuit during its Operation.
Resistance - (Measured in Ohm) - Resistance is defined as the resistance experienced by either the source or load connected to the circuit.
Duty Cycle - A Duty Cycle or power cycle is the fraction of one period in which a signal or system is active.

STEP 1: Convert Input(s) to Base Unit

Total Switching Period: 1.2 Second --> 1.2 Second No Conversion Required
Source Voltage: 100 Volt --> 100 Volt No Conversion Required
Chopper Drop: 2.5 Volt --> 2.5 Volt No Conversion Required
Resistance: 40 Ohm --> 40 Ohm No Conversion Required
Duty Cycle: 0.56 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_in = (1/T_tot)*int((V_s*((V_s-V_d)/R)),x,0,(d*T_tot)) --> (1/1.2)*int((100*((100-2.5)/40)),x,0,(0.56*1.2))

Evaluating ... ...

P_in = 136.5

STEP 3: Convert Result to Output's Unit

136.5 Watt --> No Conversion Required

FINAL ANSWER

136.5 Watt <-- Input Power

(Calculation completed in 00.004 seconds)

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Created by Siddharth Raj

Heritage Institute of Technology ( HITK), Kolkata

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< 10+ Step Up/Step Down Chopper Calculators

Input Power for Step down Chopper

Go Input Power = (1/Total Switching Period)*int((Source Voltage*((Source Voltage-Chopper Drop)/Resistance)),x,0,(Duty Cycle*Total Switching Period))

Capacitor Voltage of Buck Converter

Go Voltage Across Capacitor = (1/Capacitance)*int(Current Across Capacitor*x,x,0,1)+Initial Capacitor Voltage

RMS Output Current for Step down Chopper (Buck Converter)

Go RMS Current = sqrt(Duty Cycle)*(Source Voltage/Resistance)

Average Load Voltage Step down Chopper (Buck Converter)

Go Load Voltage = Chopping Frequency*Chopper On Time*Source Voltage

Average Load Voltage for Step up or Step down Chopper (Buck-Boost Converter)

Go Load Voltage = Source Voltage*(Duty Cycle/(1-Duty Cycle))

Average Output Current for Step down Chopper (Buck Converter)

Go Output Current = Duty Cycle*(Source Voltage/Resistance)

Output Power Step down Chopper (Buck Converter)

Go Output Power = (Duty Cycle*Source Voltage^2)/Resistance

RMS Load Voltage for Step down Chopper (Buck Converter)

Go RMS Voltage = sqrt(Duty Cycle)*Source Voltage

Average Load Voltage for Step up Chopper (Boost Converter)

Go Load Voltage = (1/(1-Duty Cycle))*Source Voltage

Average Load Voltage for Step down Chopper (Buck Converter)

Go Load Voltage = Duty Cycle*Source Voltage

Input Power for Step down Chopper Formula

What Role Does Input Voltage Play in Step down chopper?

The Input Voltage serves as a crucial parameter in the operation of a step-down chopper, influencing output voltage regulation, efficiency, component stress, and dynamic response. Proper consideration of the input voltage range and its effects is essential for the design and optimization of step-down chopper circuits for various applications.

How to Calculate Input Power for Step down Chopper?

Input Power for Step down Chopper calculator uses Input Power = (1/Total Switching Period)*int((Source Voltage*((Source Voltage-Chopper Drop)/Resistance)),x,0,(Duty Cycle*Total Switching Period)) to calculate the Input Power, The Input Power for Step down Chopper, also known as the buck chopper, refers to the electrical power supplied to the chopper circuit from the input source. The input power is typically calculated as the product of the input voltage and input current. Input Power is denoted by P_in symbol.

How to calculate Input Power for Step down Chopper using this online calculator? To use this online calculator for Input Power for Step down Chopper, enter Total Switching Period (T_tot), Source Voltage (V_s), Chopper Drop (V_d), Resistance (R) & Duty Cycle (d) and hit the calculate button. Here is how the Input Power for Step down Chopper calculation can be explained with given input values -> 136.5 = (1/1.2)*int((100*((100-2.5)/40)),x,0,(0.56*1.2)).

FAQ

What is Input Power for Step down Chopper?

The Input Power for Step down Chopper, also known as the buck chopper, refers to the electrical power supplied to the chopper circuit from the input source. The input power is typically calculated as the product of the input voltage and input current and is represented as P_in = (1/T_tot)*int((V_s*((V_s-V_d)/R)),x,0,(d*T_tot)) or Input Power = (1/Total Switching Period)*int((Source Voltage*((Source Voltage-Chopper Drop)/Resistance)),x,0,(Duty Cycle*Total Switching Period)). Total Switching Period Time is the Total Switching Period, which Includes both the On-time and Off-time of the Switch, Source voltage is defined as the voltage or potential difference of the source which is supplying voltage to the chopper, Chopper Drop refers to the Voltage drop or Voltage Loss that Occurs Across the Semiconductor Switches (such as MOSFETs or IGBTs) Within a Chopper Circuit during its Operation, Resistance is defined as the resistance experienced by either the source or load connected to the circuit & A Duty Cycle or power cycle is the fraction of one period in which a signal or system is active.

How to calculate Input Power for Step down Chopper?

The Input Power for Step down Chopper, also known as the buck chopper, refers to the electrical power supplied to the chopper circuit from the input source. The input power is typically calculated as the product of the input voltage and input current is calculated using Input Power = (1/Total Switching Period)*int((Source Voltage*((Source Voltage-Chopper Drop)/Resistance)),x,0,(Duty Cycle*Total Switching Period)). To calculate Input Power for Step down Chopper, you need Total Switching Period (T_tot), Source Voltage (V_s), Chopper Drop (V_d), Resistance (R) & Duty Cycle (d). With our tool, you need to enter the respective value for Total Switching Period, Source Voltage, Chopper Drop, Resistance & Duty Cycle 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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