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1

Exciter fractional model and its susceptibility on parameter changes

Majka Łukasz, Sowa Marcin

Poznan University of Technology Academic Journals. Electrical Engineering

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2020

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No. 104

87--98

EN

The paper concerns the application of fractional calculus in the modeling of a selected part of a power system generating unit, which is the high frequency AC exciter. The model’s fractional derivative-based generalization is recalled. The basis of the estimation process for the model consists of two sets of measurement waveforms. In order to solve the fractional and nonlinear problem – a numerical solver is applied. The solver and the estimation procedure have been both implemented in GNU Octave. The model parameter susceptibility is examined. The changes of each model parameter value is studied in a way that the influence on the model output is observed.

2

Niepewność parametrów modeli matematycznych generatorów synchronicznych źródeł rozproszonych

Nocoń Adrian, Białkiewicz Piotr, Majka Łukasz

Zeszyty Naukowe Wydziału Elektrotechniki i Automatyki Politechniki Gdańskiej

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2019

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Nr 62

167--170

PL

Badając elektromechaniczne stany nieustalone źródeł rozproszonych może pojawić się problem braku wiarygodnych parametrów modeli matematycznych źródeł nowoprojektowanych i już działających w systemie elektroenergetycznym. Problem ten można rozwiązać uwzględniając niepewność parametrów w badaniach symulacyjnych. Niepewność tę można uwzględnić stosując symulację Monte Carlo. Jednym z warunków uzyskania wiarygodnych wyników metodą Monte Carlo jest wykorzystanie odpowiednio dobranych zakresów zmian niepewnych parametrów modeli matematycznych. W tym celu w artykule przeprowadzono analizę kart katalogowych różnych producentów generatorów synchronicznych stosowanych w źródłach rozproszonych. Dokonano analizy statystycznej parametrów i porównano je z parametrami zawartymi w literaturze i programach symulacyjnych.

EN

During the analysis of an electromechanical transient state of a distributed power system, a problem with reliabe values of the paramemters of a mathematical model of a newly designed or operating sources may occur. Solution to this problem is to include parameters’ uncertainty into the simulation process, using the Monte Carlo method. To obtain a trustworthy results of the Monte Carlo simulation, a properly selected range of the parameters' values is a key requirement. For this purpose, statistical analysis of the data sheets of various manufacturers’ synchronous generators has been carried out. Afterwards, the data sheet parameters were compared to the parameters in technical literature and simulation programs, such as SimPowerSystems and PSLF.

3

Enhancing the possibilities in visualisation of the ferroresonance phenomenon

Klimas Maciej, Majka Łukasz

Poznan University of Technology Academic Journals. Electrical Engineering

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2019

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No. 98

115--124

EN

Waveforms measured and recorded in a ferroresonant circuit are the base for many computations, including simulation of ferroresonance circuit over - current/voltage responses and modelling a nonlinear coil. During such a study of ferroresonance phenomenon, the time dependent nonlinear differential equations are derived from R – Ψ(i) – C ferroresonant circuit. The system of nonlinear equations is numerically solved using various algorithm applications. In applied mathematics, in particular the context of the nonlinear dynamical systems analysis, phase – plane/space graphs are a visual display of certain characteristics of kinds of differential equations. The aim of the paper is a full plane/space presentation of all possible states of a test circuit when the ferroresonance occurs. Poincare maps application is also mentioned in the paper.