A linear resonant compressor model based on a new linearization method of the gas pressure force

• The resonant compressor is studied and one new method for modeling using the gas pressure force's effects is presented.
• The dynamic behavior was analyzed, and the major effects caused by the gas pressure force were discussed.
• The linearized model allows the operation of the system in resonance frequency.
• The linearized model can predict the gas force by coefficients that are related to parameters.

In this paper, the resonant compressor is studied and one new method for modeling using the gas pressure force's effects is presented. The gas pressure force is nonlinear and variable throughout the operation. Therefore, it is a very difficult task to calculate the resonance frequency with the necessary accuracy to optimize the compressor efficiency. Thus, the design of a high performance controller for linear compressor drive presents a challenge since the system is highly nonlinear. This new method proposes to deal with this problem through linearization of the gas pressure force. This new approach is based on the effects that this force causes in the compressor operation. From the use of this approach, it is possible to model and to analyze the compressor's behavior as a linear time varying system.