Improving the efficiency of the heat and power system, due to the synthesis of control based on the synergistic concept

Viktor P Lapshin,Anna R Klueva,Alexey A Zakaluyzhnyy,Pham Dinh Tung,Veronika V Hristoforova,V Mladenovic,P.D Tung,A.N Tooraj,M Petkovic

doi:10.1051/e3sconf/201910401016

Abstract

The article describes a special case of the synthesis of the electromechanical system for controlling the thermal regime by the method of analytical design of aggregated regulators. The task was to base the synthesis of the optimal in speed electromechanical system for stabilizing the operating modes of the thermodynamic system, based on the use of the Peltier module as a thermal converter.

Highlights

The basis of the electromechanical control system under consideration is the 7015-C electric motor, which provides for the conversion of electrical energy into mechanical energy of motion of the system actuators
The mathematical model of a DC motor with collector control is described by the following system of equations [12]: U ce where U - the voltage applied to the engine manifold; i - the current consumed by the motor; R, L – motor electrical parameters; J – the parameter characterizing the inertial properties of the motor armature is the reduced inertia moment of all rotating masses; ω – engine armature speed; Mc= μω2- external applied moment of resistance, μ = 1,1·10-7; cm, ce – mechanical and electric permanent motor; Based on the passport data of the electric motor, we will perform calculations of unknown quantities in the system of equations (1)
The anchor circuit resistance and inductance were obtained experimentally and are equal, respectively, 79.6 ohms and 0.0048H. As it is known from sources, the dynamics of thermal processes is of a pronounced aperiodic nature, in connection with this, the thermodynamic parameters of the model under consideration are described by the following differential equation: T d dt

Summary

Statement of the research problem

At the end of the 20th century, a new approach to the synthesis of control systems emerged, which from its author A. Called the method of Analytical Design of Aggregated Regulators (AKAR) [1,2,3,4,5,6,7,8,9,10] The basis of this approach is the concept of synthesis of nonlinear feedbacks ensuring the asymptotic stability of the control system with respect to the required (from a practical point of view) motion (attractor) in the state space of the system [1]. The difference of this method from the methods of synthesis of optimal control systems is what is missing here as a criterion for optimizing the control system [11]. The synthesis of control based on the disclosure of a synergistic concept will improve the energy efficiency of the thermodynamic system considered in the work

Synthesis of a mathematical model

Control synthesis based on the AKAR method