Abstract
In this paper, an analytical procedure to derive the efficiency of linear and nonlinear physical systems is presented. This procedure allows to compute the efficiency map both on the plane of the input power variables and on the plane of the output power variables. Additionally, the paper highlights the parameters to be adjusted in order to enlarge the high-efficiency region of the system. The presented procedure can also be used in conjunction with a least square algorithm in order to estimate the unknown parameters of the considered physical system. The effectiveness of the procedure has been tested in Matlab/Simulink to estimate the parameters of an actual PMSM electric motor. The obtained results show a very good matching between the actual and the estimated efficiency maps.
Highlights
In this paper, an analytical procedure to derive the efficiency of linear and nonlinear physical systems is presented
Estimate the unknown parameters of an industrial three-phase electric motor: the obtained good matching between the actual and estimated efficiency maps shows the effectiveness of the proposed method
The problem of the power flow-based efficiency of a physical system is addressed as a general case, and the analysis is applied to both linear and nonlinear systems
Summary
The concept of efficiency is much appreciated in the world of industry as it is intuitive and allows the user to determine the cost, in terms of dissipated power, related to the introduction of a specific physical element within the overall system. The problem of the power flow-based efficiency of a physical system is addressed as a general case, and the analysis is applied to both linear and nonlinear systems. The presented analysis can be used to identify the unknown parameters of the considered system if its efficiency map on the output plane is given. This identification method has been applied in this paper to the PMSM case study. A new method which allows to identify the motor parameters by trying to minimize the mean squared error between the efficiency points on the actual and estimated efficiency maps is presented.
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