The thesis presents three-phase models of Flexible AC Transmission System devices, as
well as models of basic electric power network's elements. Presented models are designed
for three-phase load flow calculations with Newton-Raphson method and enable analysis of
symmetric and asymmetric electric power systems in steady state conditions.
The bases for calculating load flow are described in chapter 2, i.e. the principle of nodal
power balance, nodal admittance matrix, power balance equations, nodal types, per unit
system and numerical Newton-Raphson method. Mathematical models of transmission lines,
transformers and synchronous generators are described in chapter 3. In chapter 4 threephase
models, as well as one-phase voltage in current models of series and parallel branch
of FACTS devices are presented. In addition, basic STATCOM, SSSC, IPFC, UPFC and
GUPFC principles are given, and a three-phase Static Synchronous Series Compensator
(SSSC) is described in detail, i.e. voltage and current models. In chapter 5 Visual Basic
procedure for automatic code generation, made upon network data and designed for loadflow
calculation with Wolfram Mathematica program, is described. The procedure of
three-phase modelling is shown on ACHA5, IEEE57, IEEE118 and IEEE300 testing networks
and calculations of voltage models of FACTS devices are compared with those of current
models.
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