Abstract
In this work, the real-time mathematical models of electromechanical power systems with semiconductor converters based on the author’s method of the average voltages in the integration step are described. As well as the theoretical basics of the method, the algebraization algorithm of differential equations on a time quantum is described. This time quantum in the hybrid model is synchronized with the time quanta of signal samples of the physical part of the model. In the hybrid model, only algebraic equations of electromechanical power systems are present. Software and technical applications of the hybrid models of energy-generating blocks for selected thermal and nuclear power plants are described. In the process curve courses obtained and projected in this paper, the author’s hybrid models are illustrated. In the existing models, the nonlinearity of the electric machines and the semiconductor converters are taken into account. The numerical stability of the method of average voltages in integration step—in the sense of the resistance to computer calculation disturbances—is proven.
Highlights
There are two subsystems in modern electromechanical systems: the energy conversion system and information conversion system.The authors have accumulated many years of experience in the study of electromechanical systems in a hybrid environment, in which the power part is a virtual mathematical model and the automatic control system is a real physical object
The method of average voltages in the integration step provides numerical stability for hybrid real-time models and ensures the analytical–numerical algebraization of differential equations of electromechanical power circuits on time quanta, which are synchronized with time quanta of control system signals
This is important for the operation of hybrid models for an unlimited period of time
Summary
There are two subsystems in modern electromechanical systems: the energy conversion system (power scheme) and information conversion system (control, regulation and automatic circuits). The authors have accumulated many years of experience in the study of electromechanical systems in a hybrid environment, in which the power part is a virtual mathematical model and the automatic control system is a real physical object. Today, this approach corresponds to hardware-in-the-loop technologies, which are described in [1,2,3,4,5]. The author’s method of average voltages in the integration step [7] is effective in providing numerical stability for models of power schemes with electrical circuits. Our opinion is the same as that of the authors in [9,10]
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