Power Electronics Formulas for GATE EE Exam | GATE Notes & Videos for Electrical Engineering - Electrical Engineering (EE) PDF Download

 Page 1


 
 
Inverters 
Series Inverter: In a series inverter, the commutating elements L and C are connected in 
series with the load resistance R. The load resistance R can also be in parallel with C. 
The value of L and C are such that those form an underdamped circuit i.e. 
 
 
Parallel Inverter: During the working of this inverter, capacitor C comes in parallel with the load 
via. the transformer, so this inverter is called a parallel inverter. 
 
Bridge Inverter: Bridge circuits are commonly used in DC-AC conversion. 
Moreover, an output transformer is not essential in a bridge circuit. 
1- ? Half Bridge Inverter-  
Page 2


 
 
Inverters 
Series Inverter: In a series inverter, the commutating elements L and C are connected in 
series with the load resistance R. The load resistance R can also be in parallel with C. 
The value of L and C are such that those form an underdamped circuit i.e. 
 
 
Parallel Inverter: During the working of this inverter, capacitor C comes in parallel with the load 
via. the transformer, so this inverter is called a parallel inverter. 
 
Bridge Inverter: Bridge circuits are commonly used in DC-AC conversion. 
Moreover, an output transformer is not essential in a bridge circuit. 
1- ? Half Bridge Inverter-  
 
 
1- ? Full Bridge Inverter- 
 
 
Amplitude Modulation Depth:  
 
where V m, V C, are the modulating and carrier signal voltages, respectively. 
For sinusoidal PWM, the amplitude modulation depth must be less than 1.0 
Output Voltages:                                    
 
Page 3


 
 
Inverters 
Series Inverter: In a series inverter, the commutating elements L and C are connected in 
series with the load resistance R. The load resistance R can also be in parallel with C. 
The value of L and C are such that those form an underdamped circuit i.e. 
 
 
Parallel Inverter: During the working of this inverter, capacitor C comes in parallel with the load 
via. the transformer, so this inverter is called a parallel inverter. 
 
Bridge Inverter: Bridge circuits are commonly used in DC-AC conversion. 
Moreover, an output transformer is not essential in a bridge circuit. 
1- ? Half Bridge Inverter-  
 
 
1- ? Full Bridge Inverter- 
 
 
Amplitude Modulation Depth:  
 
where V m, V C, are the modulating and carrier signal voltages, respectively. 
For sinusoidal PWM, the amplitude modulation depth must be less than 1.0 
Output Voltages:                                    
 
 
 
the fundamental line-line voltage is given by 
 
Available output voltage: 
Assuming that the DC voltage is created using a diode rectifier and capacitor dc 
link, the maximum available DC voltage is given by 
 
where VLLS is the line-line supply voltage. The maximum output using sinusoidal 
PWM (ma=1) is 
 
Resistive Load: 
 
where, Vs = DC voltage source 
R = Load resistance 
R-C (Resistive-Capacitive Load): 
 
Where, VC(t) = Voltage across capacitor at time t 
Where, VC(t) = Voltage across capacitor at time t 
Initial rate of rise of capacitor voltage: 
 
Page 4


 
 
Inverters 
Series Inverter: In a series inverter, the commutating elements L and C are connected in 
series with the load resistance R. The load resistance R can also be in parallel with C. 
The value of L and C are such that those form an underdamped circuit i.e. 
 
 
Parallel Inverter: During the working of this inverter, capacitor C comes in parallel with the load 
via. the transformer, so this inverter is called a parallel inverter. 
 
Bridge Inverter: Bridge circuits are commonly used in DC-AC conversion. 
Moreover, an output transformer is not essential in a bridge circuit. 
1- ? Half Bridge Inverter-  
 
 
1- ? Full Bridge Inverter- 
 
 
Amplitude Modulation Depth:  
 
where V m, V C, are the modulating and carrier signal voltages, respectively. 
For sinusoidal PWM, the amplitude modulation depth must be less than 1.0 
Output Voltages:                                    
 
 
 
the fundamental line-line voltage is given by 
 
Available output voltage: 
Assuming that the DC voltage is created using a diode rectifier and capacitor dc 
link, the maximum available DC voltage is given by 
 
where VLLS is the line-line supply voltage. The maximum output using sinusoidal 
PWM (ma=1) is 
 
Resistive Load: 
 
where, Vs = DC voltage source 
R = Load resistance 
R-C (Resistive-Capacitive Load): 
 
Where, VC(t) = Voltage across capacitor at time t 
Where, VC(t) = Voltage across capacitor at time t 
Initial rate of rise of capacitor voltage: 
 
 
 
R-L Load: 
 
 
L-C Load: 
 
 
R-L-C Load: 
 
Page 5


 
 
Inverters 
Series Inverter: In a series inverter, the commutating elements L and C are connected in 
series with the load resistance R. The load resistance R can also be in parallel with C. 
The value of L and C are such that those form an underdamped circuit i.e. 
 
 
Parallel Inverter: During the working of this inverter, capacitor C comes in parallel with the load 
via. the transformer, so this inverter is called a parallel inverter. 
 
Bridge Inverter: Bridge circuits are commonly used in DC-AC conversion. 
Moreover, an output transformer is not essential in a bridge circuit. 
1- ? Half Bridge Inverter-  
 
 
1- ? Full Bridge Inverter- 
 
 
Amplitude Modulation Depth:  
 
where V m, V C, are the modulating and carrier signal voltages, respectively. 
For sinusoidal PWM, the amplitude modulation depth must be less than 1.0 
Output Voltages:                                    
 
 
 
the fundamental line-line voltage is given by 
 
Available output voltage: 
Assuming that the DC voltage is created using a diode rectifier and capacitor dc 
link, the maximum available DC voltage is given by 
 
where VLLS is the line-line supply voltage. The maximum output using sinusoidal 
PWM (ma=1) is 
 
Resistive Load: 
 
where, Vs = DC voltage source 
R = Load resistance 
R-C (Resistive-Capacitive Load): 
 
Where, VC(t) = Voltage across capacitor at time t 
Where, VC(t) = Voltage across capacitor at time t 
Initial rate of rise of capacitor voltage: 
 
 
 
R-L Load: 
 
 
L-C Load: 
 
 
R-L-C Load: 
 
 
 
 
Single Phase Half Wave Diode Rectifier: 
with R Load: 
 
 
With L load: