For R&D engineers, the use of analog modeling techniques for error correction and inspection of new DC-DC converter products is an essential part of the entire development process. So, in the usual work, what are the common modeling methods, and what types of converters are these methods applicable to? Today we will have a big inventory for everyone to help engineers fully understand the different types of modeling technology.
The first thing to introduce to you is the state space averaging method. This method is currently a more common modeling method in the world. It mainly utilizes the concept of time continuity of the state variable of the system. When the switching frequency is high enough, the change of the input signal in one switching cycle is ignored, and the concept is switched by the average concept. The power supply is approximated by a linear time-invariant equation of state, and then the analytical power supply is used to model the switching power supply. This method causes a large error when the characteristic frequency of the system is close to the switching frequency. Therefore, the state space averaging method is mainly suitable for PWM converters, and cannot be used for modeling of resonant converters.
Another common modeling technique to be introduced next is the general average method. The general average method mainly performs Fourier analysis on each state variable, and then uses the theory of harmonic balance to obtain a small-signal mathematical model. This method is applicable not only to PWM converters but also to resonant converters. This method can get an accurate small signal model but the modeling process is more complicated.
The third common converter modeling technique is called discrete time domain simulation. The basic operation idea of ​​the discrete time domain simulation method is to use the state space method to list the piecewise linear equations of the nonlinear system, and then find the state transition law, and obtain the nonlinear difference equation, which is solved by computer program. The biggest point of this approach is that it can help engineers get a more accurate model.
In addition, in the current domestic DC-DC converter modeling method, the equivalent circuit method is also one of the methods with high popularity. This method applies a concept of averaging over a carrier cycle, turning the switching power supply into a linear circuit containing a controlled source, and then performing a small-signal analysis of the switching power supply by solving the linear circuit. However, this method has recently been replaced by a new small-signal modeling method, the extended description function method. The method of extending the description function is simpler than the general average method, and is more suitable for the analysis of resonant converters. Modeling.
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