If you simplify your converter model by averaging the voltage provided by the active switches (average model of power electronics), you receive a linear network which can be easily be represented by two-port network theory (with the duty cycle of the switch as a variable parameter).
Yes, DC-DC converter circuits can be analyzed using the two-port network theory. Two-port network theory is a mathematical model that can be used to analyze the electrical behavior of circuits with two terminals. The two ports represent the input and output of the circuit.
To analyze a DC-DC converter circuit using the two-port network theory, the circuit is first broken down into two ports. The input port is the port that receives the power from the source, and the output port is the port that delivers the power to the load. Once the circuit has been broken down into two ports, the two-port network theory can be used to calculate the following:
The input impedance of the circuit: The input impedance is the impedance of the circuit at the input port.
The output impedance of the circuit: The output impedance is the impedance of the circuit at the output port.
The transfer function of the circuit: The transfer function of the circuit is the ratio of the output voltage to the input voltage.
The input impedance, output impedance, and transfer function of the circuit can be used to determine how the circuit will behave when it is connected to a source and a load.
For example, if the input impedance of the circuit is high, then the circuit will not draw much current from the source. This is useful if the source is a battery because it will extend the battery life.
If the output impedance of the circuit is low, then the circuit will be able to deliver a lot of current to the load. This is useful if the load is a motor because it will allow the motor to start up quickly. The transfer function of the circuit determines how the output voltage will change when the input voltage changes. This is useful for designing circuits that have a specific voltage gain or frequency response.