Abstract
The LLC resonant converter has been widely used in direct current (DC) power supply applications. However, fundamental harmonic approximation or other simplified analyses will introduce inevitable deviations. Therefore, the differential equation model with numerical solution of the LLC converter is proposed in this paper based on the operational principle of the ideal case. In order to solve the differential equation, initial values need to be substituted. The accurate LLC model based on time interval analysis is very complicated and cannot be used. In this paper, solution methods of the initial values corresponding to different switching frequencies are proposed. The initial values can be solved conveniently. Furthermore, the voltage gain curve is modified by the idealized analysis. Lastly, all the above research is verified by PSIM simulation. The work is helpful to understand the operational principle of the LLC resonant converter.
Highlights
The LLC resonant converter has many advantages such as isolation, adjustable voltage, and soft-switching characteristics [1,2]
The frequency-domain method is known as the fundamental harmonic approximation (FHA), which is the conventional analysis method of LLC [3,4]
This paper presents a differential equation model of the converterconditions in the idealneeds case
Summary
The LLC resonant converter has many advantages such as isolation, adjustable voltage, and soft-switching characteristics [1,2]. There are many analysis methods for the LLC resonant converter. Calculated results with the above two simplified methods can not reflect the actual operating conditions of the LLC converter. Numerical solution is another time-domain analysis method for the high order circuits. It is necessary to analyze the operating principle of the LLC converter correctly In [14],forms and the equation system contains a certain number of trigonometric functions They are both analyzed in the ideal theand calculations are very complicated andare difficult to be applied.
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