Half Wave Rectifier Formula
Here are some important formulas to calculate various parameters related to Half half-wave rectifier.
Terms used below formulas are: Vp is peak AC voltage, Vd is forward biased voltage drop of the diode, Idc is the value of DC component of output current, Pout value of output power, Pin is the value of input power and Vavg is the average value of output voltage.
Peak Inverse Voltage of HWR
It is the maximum Voltage Withstand by the diode without getting damage
PIV=Vm
Output voltage (Vout)
The output voltage of a half-wave rectifier for a given AC voltage is given by the formula
Vout = Vp/π -Vd
Form Factor (FF) of a Halfwave Rectifier
Form factor is defined as the ratio of the RMS value of voltage to the average value of output voltage.
FF =RMS Value/Avg Value= Vrms / Vavg
Ripple factor (γ) of Half Wave Rectifier
Ripple factor determines the quality of rectification of AC to DC. The lower the value of the ripple factor, the higher the quality of rectification. We use capacitors and inductors in rectification circuits to decrease the ripple factor.
Ripple Factor(γ)=√((FormFactor)2-1) = √((Vrms / Vavg)2-1) also, γ= (I2rms – I2dc)/ Idc
From the above equation, we can find out that the ripple factor of a half rectifier without any filters is 1.21.
Efficiency (η) of Half Wave Rectifier
Efficiency is defined as the ratio of output DC power to input AC power.
η= (Pout / Pin)x100
RMS Value of Half Wave Rectifier
Irms and Idc: Irms is the average value of the output current and Idc is output current at load.
Irms= Im/2 and Idc = Im / π
Half Wave Rectifier
A Half-wave rectifier is an electronic device that is used to convert Alternating current (AC) to Direct current (DC). A half-wave rectifier allows either a positive or negative half-cycle of AC to pass and blocks the other half-cycle. Half-wave rectifier selectively allows only one half-cycle of the AC input voltage to pass through, producing a pulsating DC output voltage across the load resistor. While it’s a simple and cost-effective way to convert AC to DC.
In this article, we will go through Half wave Rectifier, First, we will begin with the basics of the rectifier, Then we will go through the definition of the half wave rectifier, then we will go through a diagram of half wave rectifier, and working principle of half wave rectifier, Also we will go through capacitor filter in half wave rectifier and three phase half wave controlled rectifier. At last, we will conclude our Article with Advantages and Disadvantages, Application and Some FAQs on Half Wave Rectifier.
Table of Content
- What is a Rectifier?
- Rectifier Components
- Types of Rectifiers
- Half Wave Rectifier
- Working
- Half Wave Rectifier with Filter
- Three Phase Half Wave Rectifier
- Formulas
- Solved examples