Method for Modeling Dynamic Modes of Nonlinear Control Systems for Thermoelectric Modules

Thermoelectric modules (TEM) based on Peltier elements have a number of advantages compared to classic compressor cooling systems based on refrigerants. Increasing the efficiency of TEM is associated with the search for new thermoelectric materials with improved properties and the use of temperature control systems for these modules. The complexity of modeling, analysis and synthesis of thermoelectric systems (TES) is determined by the significantly nonlinear characteristics of Peltier elements in a wide range of temperatures and control currents, as well as the influence of switching effects in pulse control. It is proposed to analyze the dynamic modes of TES using a spectral technique based on the approximation of the system characteristics by piecewise linear functions. This allowed us to obtain generalized expressions of transients for any order of the studied pulse system and arbitrary character of non-linearity, taking into account switching effects. The functional diagram and model of the current control system flowing through the Peltier element are presented. Dynamic modes of pulse TEM control systems with transfer functions of continuous parts of the 1st, 2nd and 3rd orders are simulated. The developed mathematical apparatus is the basis for further optimization and synthesis of TEM control systems.