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Article:

Construction of mathematical models and definition of parametres of stabilizers of secondary power supplies

Keywords:

G. N. Arsen’ev, V. Yu. Tereshenko

As a result of research carrying out it is shown that representation of compensatory stabilizers by the model of system of automatic control with a management principle on a deviation allows to carry out researches – the analysis and synthesis, calculation of dynamic characteristics and parameters of stabilizers methods of the theory of automatic control. The technique of drawing up of mathematical model of the stabilizer allows not only to define transfer function but also to make necessary calculations according to accuracy of stabilization of voltage of loading without dependence from that, than the mismatch is caused: a deviation of entrance pressure or change of resistance of loading. The carried out analysis allows to draw following conclusions: 1. Unlike the parametrical stabilizers which are opened systems of automatic control, the compensatory voltage stabilizers having a negative feedback, concern the closed systems of automatic control possessing higher accuracy of stabilization, than parametrical voltage stabilizers. Basic characteristic is the stabilization factor (on entrance voltage) – the statistical characteristic. 2. Because compensatory stabilizers are constructed on the basis of a management principle on a deviation and are the closed systems of automatic control, concept of "stabilization factor" for an assessment of works of the compensatory stabilizer and accuracy of maintenance of demanded value of target voltage as one of characteristics of control systems demands corresponding specification. For this purpose pertinently to use such dynamic characteristic, as transfer function of system. 3. For calculation of dynamic characteristics and parameters, an estimation of accuracy of stabilization of voltage of loading from that, than the mismatch – a deviation of entrance pressure or change of resistance of loading is caused – it is necessary to transform the block diagram of the compensatory stabilizer to the block diagram of the closed system of automatic control and to give its equivalent mathematical model of the stabilizer, to define transfer function of the closed system and to make an accuracy estimation (stability of feeding pressure of loading concerning its rating value) a voltage stabilizer for cases of a deviation of entrance voltage and loading change.
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