Hoholyuk O. The development of theory and methods for analysis of dynamic modes of electric circuits based on macromodeling

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0518U002657

Applicant for

Specialization

  • 05.09.05 - Теоретична електротехніка

30-11-2018

Specialized Academic Board

Д 35.052.02

Lviv Polytechnic National University

Essay

The dissertation is devoted to solving of scientific and technical problem of the theory and methods development for dynamic modes analysis of electric circuits and systems on the basis of a combination of methods of theoretical electrical engineering and discrete macrmodeling with expert analysis of apriori information. The theoretical principles of electrotechnical systems modes analysis based on the electric circuit theory, macromodeling and diakoptics has been formulated. Classification of dynamic systems is presented, their continuous and discrete dynamical systems models, models in the "input-output" and transfer function forms are described in details. The approaches how to simplify the creation of mathematical models, prospects of the macromodels in the form of the "black box" usage for the analysis of the electric circuits dynamic modes are considered. The approach how to develop the discrete linear and nonlinear macromodels and features of the diakoptic principles applying in order to improve the procedure of macromodeling of the electric circuits elements are presented. A universal algorithm intended for construction of discrete mathematical macromodels using the "black box" technique in the form of state variables based on apriori information obtained in the process of real objects operation was developed based on the Delphi technique. Analyses of modern computer programs used for modeling of the electric systems transients on the basis of single- and multiprocessor computers was carried out. Mathematical and computer models and macromodels of electrical circuits and systems were considered. The approaches of apriori information obtaining about the elements of electrical circuits and electrical systems, methods of its evaluation, processing and correct systematization were analysed. The methods of the expert analysis theory were fit to the construction of mathematical macromodels of electrical systems. Application of the criteria of estimations of qualitative and quantative characteristics of dynamic modes was improved in order to select the optimal sets of transient characteristics, suitable for construction of macromodels of such type objects. The problem of the transient processes analysis of electrical systems based on real time characteristics obtained by their registration using modern SCADA systems was considered. The discrete macromodel of transmission line using the "black box" approach in the form of discrete state equations based on the computer experiment results was developed for the first time. The discrete macromodel of the electric substation based on the monitoring results registereded by "Regina" software and hardware tools was developed. Developed macromodelі allows to describe complex electrical system in order to analyse their transient processes. The methods of adaptation of macromodels to modern computer simulation tools intended for practical analysis of electric systems operating regimes, namely the MATLAB/Simulink environment and АТР/EMTP program were proposed. All necessary software components using programming operators embedded into these environments required for the transient processes research in the electrical systems under analysis using created macromodels were developed. For the first time it was proposed to use the discrete mathematical macromodeling technique for creation of models for the energy consumption forecasting without stage by stage processing of the a prior information. It made possible to carry out both short-and long-term forecasting of power consumption of power facilities which are under exploitation in Ukraine The adequacy verification and approbation of the developed mathematical models and macromodels for the study of specific electrical systems transient processes research was carried out.

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