I have attached my circuit here.

I can simulate this circuit and calculate the output power.

and efficienty is ouput_power/input_power.

I have the transfer function:

vout:

+ ( C2 C1 L3 R0 RL ) s^3
------------------------------------------------------------------------------
+ ( R0 )
+ ( C1 R0 Ri + C2 R0 RL ) s
+ ( C2 C1 R0 Ri RL + C1 L3 R0 + C1 L1 R0 + C2 L3 R0 + C2 L2 R0 ) s^2
+ ( C2 C1 L3 R0 RL + C2 C1 L3 R0 Ri + C2 C1 L2 R0 Ri + C2 C1 L1 R0 RL ) s^3
+ ( C2 C1 L2 L3 R0 + C2 C1 L1 L3 R0 + C2 C1 L1 L2 R0 ) s^4


How can I derive the efficiency formula, means I am looking for tips to calculate the output power equation and input power equations and finally the efficiency formula ?

Thanks in advance.

 

Find the complex input power:
Vin * Iin
Take the real part of the complex number, units of watts.
...
Then use analysis to find the complex valued current going through the load resistor. Find the output complex power:
I^2*Rload
take the real part, units of watts.
The ratio of watts out/watts in will be the efficiency.

 

Find the complex input power:
Vin * Iin
Take the real part of the complex number, units of watts.
...
Then use analysis to find the complex valued current going through the load resistor. Find the output complex power:
I^2*Rload
take the real part, units of watts.
The ratio of watts out/watts in will be the efficiency.

Hi,

Thanks for the answer.

Through simulation I can calculate the efficiency, but what I am looking for is the steps one would follow to derive the efficiency formula (in terms of circuit elements), given that the transfer function has lot of circuit components to deal with.

Regards

 

So you are looking for some variable expression that might be maximized.

 

So you are looking for some variable expression that might be maximized.

Yeah absolutely, I want to have an variable expression and then I would like to vary the component values and check how the system is behaving.

Thanks and Regards

 

So you are looking for some variable expression that might be maximized.

I want to do them theoretically. With hand.

Regards