Formula Used
Average Thyristor Current Under AC Regulator = ((sqrt(2)*Supply Voltage)/(2*pi*Impedance))*int(sin(x-Phase Angle)-sin(Firing Angle-Phase Angle)*exp((Resistance/Inductance)*((Firing Angle/Angular Frequency)-Time)),x,Firing Angle,Extinction Angle of Thyristor)I_{av} = ((sqrt(2)*E_{s})/(2*pi*Z))*int(sin(x-φ)-sin(α-φ)*exp((R/L)*((α/ω)-t)),x,α,β)This formula uses
1 Constants,
4 Functions,
10 Variables Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
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)
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
Average Thyristor Current Under AC Regulator -
(Measured in Ampere) - Average Thyristor Current Under AC Regulator refers to the Mean Value of the Current flowing through the Thyristor over a Complete Cycle of the Alternating Current (AC) Waveform.
Supply Voltage -
(Measured in Volt) - Supply Voltage of an AC Regulator refers to the Voltage provided by the Power Source to the regulator circuit.
Impedance -
(Measured in Ohm) - Impedance is a Measure of the Total Opposition that an Electrical Circuit presents to the flow of Alternating Current (AC).
Phase Angle -
(Measured in Radian) - Phase Angle typically refers to the Angular Displacement of the Waveform from its Zero crossing point.
Firing Angle -
(Measured in Radian) - Firing Angle is the Angle of Delay Between the Zero Crossing of the AC Voltage Waveform and the triggering of the Thyristor.
Resistance -
(Measured in Ohm) - Resistance is a measure of the opposition to current flow in any voltage regulator circuit. Its S.I unit is ohm.
Inductance -
(Measured in Henry) - Inductance refers to the Property of a Circuit Element, typically an Inductor, that Opposes changes in the Current flowing through it by Inducing a Voltage in the Circuit.
Angular Frequency -
(Measured in Radian per Second) - Angular Frequency is Defined as the Rate of Change of the Phase Angle of the Voltage or Current with Respect to Time.
Time -
(Measured in Second) - Time is a fundamental parameter that measures the progression of events or changes in a system. It represents the elapsed time since the start of the waveform's cycle.
Extinction Angle of Thyristor -
(Measured in Radian) - Extinction Angle of Thyristor is the angle of Delay between the Zero crossing of the AC Current Waveform and the point where the Thyristor naturally turns off due to the reversal of Voltage across it.