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Excess Work Due to Thyristor 1 in Chopper Circuit Formula

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Excess work is the energy stored in the inductor due to reverse recovery time of thyristor 1 of the chopper circuit. Check FAQs

W = 0.5 \cdot L m \cdot ((I out + \frac{t rr \cdot V c}{L m}) - {I out}^{2})

W - Excess Work?L_m - Limiting Inductance?I_out - Output Current?t_rr - Reverse Recovery Time?V_c - Capacitor Commutation Voltage?

Excess Work Due to Thyristor 1 in Chopper Circuit Example

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Here is how the Excess Work Due to Thyristor 1 in Chopper Circuit equation looks like with Values.

Here is how the Excess Work Due to Thyristor 1 in Chopper Circuit equation looks like with Units.

Here is how the Excess Work Due to Thyristor 1 in Chopper Circuit equation looks like.

40.5262 = 0.5 \cdot 0.21 \cdot ((0.5 + \frac{1.8 \cdot 45}{0.21}) - {0.5}^{2})

40.5262J = 0.5 \cdot 0.21H \cdot ((0.5A + \frac{1.8s \cdot 45V}{0.21H}) - {0.5A}^{2})

40.5262 = 0.5 \cdot 0.21 \cdot ((0.5 + \frac{1.8 \cdot 45}{0.21}) - {0.5}^{2})

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Excess Work Due to Thyristor 1 in Chopper Circuit Solution

Follow our step by step solution on how to calculate Excess Work Due to Thyristor 1 in Chopper Circuit?

FIRST Step Consider the formula

W = 0.5 \cdot L m \cdot ((I out + \frac{t rr \cdot V c}{L m}) - {I out}^{2})

Next Step Substitute values of Variables

∴

W = 0.5 \cdot 0.21H \cdot ((0.5A + \frac{1.8s \cdot 45V}{0.21H}) - {0.5A}^{2})

Next Step Prepare to Evaluate

∴

W = 0.5 \cdot 0.21 \cdot ((0.5 + \frac{1.8 \cdot 45}{0.21}) - {0.5}^{2})

Next Step Evaluate

∴

W = 40.52625J

LAST Step Rounding Answer

∴

W = 40.5262J

Excess Work Due to Thyristor 1 in Chopper Circuit Formula Elements

Variables

Excess Work

Excess work is the energy stored in the inductor due to reverse recovery time of thyristor 1 of the chopper circuit.

Symbol: W

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Excess Work

Limiting Inductance

Limiting Inductance is the inductor connected in series with thyristor 2 of the chopper circuit with di/dt limiting indicators.

Symbol: L_m

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Limiting Inductance

Output Current

Output Current is defined as the average of a current over one complete cycle at the output terminal of the chopper based circuit.

Symbol: I_out

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Output Current

Reverse Recovery Time

Reverse Recovery Time is the amount of time the current flows in the reverse direction when the forward current simultaneously switches directions due to residual stored charge.

Symbol: t_rr

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Reverse Recovery Time

Capacitor Commutation Voltage

Capacitor Commutation Voltage is the voltage across the capacitor C in the chopper circuit with di/dt limiting inductors.

Symbol: V_c

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Capacitor Commutation Voltage

Other formulas in Chopper Core Factors category

Go Duty Cycle

d = \frac{T on}{T}

Go Ripple Factor of DC Chopper

RF = \sqrt{(\frac{1}{d}) - d}

Go Effective Input Resistance

R in = \frac{R}{d}

Go Critical Inductance

L = {V L}^{2} \cdot (\frac{V s - V L}{2 \cdot f c \cdot V s \cdot P L})

How to Evaluate Excess Work Due to Thyristor 1 in Chopper Circuit?

Excess Work Due to Thyristor 1 in Chopper Circuit evaluator uses Excess Work = 0.5*Limiting Inductance*((Output Current+(Reverse Recovery Time*Capacitor Commutation Voltage)/Limiting Inductance)-Output Current^2) to evaluate the Excess Work, Excess work due to thyristor 1 in chopper circuit is the energy stored in the inductor L_m due to reverse recovery time t_rr of thyristor T₁ of the chopper circuit with di/dt limiting inductors. Excess Work is denoted by W symbol.

How to evaluate Excess Work Due to Thyristor 1 in Chopper Circuit using this online evaluator? To use this online evaluator for Excess Work Due to Thyristor 1 in Chopper Circuit, enter Limiting Inductance (L_m), Output Current (I_out), Reverse Recovery Time (t_rr) & Capacitor Commutation Voltage (V_c) and hit the calculate button.

FAQs on Excess Work Due to Thyristor 1 in Chopper Circuit

What is the formula to find Excess Work Due to Thyristor 1 in Chopper Circuit?

The formula of Excess Work Due to Thyristor 1 in Chopper Circuit is expressed as Excess Work = 0.5*Limiting Inductance*((Output Current+(Reverse Recovery Time*Capacitor Commutation Voltage)/Limiting Inductance)-Output Current^2). Here is an example- 40.52625 = 0.5*0.21*((0.5+(1.8*45)/0.21)-0.5^2).

How to calculate Excess Work Due to Thyristor 1 in Chopper Circuit?

With Limiting Inductance (L_m), Output Current (I_out), Reverse Recovery Time (t_rr) & Capacitor Commutation Voltage (V_c) we can find Excess Work Due to Thyristor 1 in Chopper Circuit using the formula - Excess Work = 0.5*Limiting Inductance*((Output Current+(Reverse Recovery Time*Capacitor Commutation Voltage)/Limiting Inductance)-Output Current^2).

Can the Excess Work Due to Thyristor 1 in Chopper Circuit be negative?

No, the Excess Work Due to Thyristor 1 in Chopper Circuit, measured in Energy cannot be negative.

Which unit is used to measure Excess Work Due to Thyristor 1 in Chopper Circuit?

Excess Work Due to Thyristor 1 in Chopper Circuit is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Excess Work Due to Thyristor 1 in Chopper Circuit can be measured.

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Excess Work Due to Thyristor 1 in Chopper Circuit Formula

Excess Work Due to Thyristor 1 in Chopper Circuit Example

Excess Work Due to Thyristor 1 in Chopper Circuit Solution

Excess Work Due to Thyristor 1 in Chopper Circuit Formula Elements

Other formulas in Chopper Core Factors category

How to Evaluate Excess Work Due to Thyristor 1 in Chopper Circuit?

FAQs on Excess Work Due to Thyristor 1 in Chopper Circuit

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