This research paper proposes a turbine-governor modelling technique
based on equivalent FCM (Fuzzy C-Means) for a control area of an equivalent power
system used for frequency response analysis. The FCM algorithm implementation is
proposed to find an equivalent Fuzzy model of n turbine-governors that are in an area
of the electric power system (EPS). The FCM algorithm is mainly used to generate
the rules for the fuzzy model; this algorithm uses input-output data, deviation of
frequency, velocity and its derivatives, these are numerical data of a control area of
the electrical system that contains n turbine-governors. Two cases are used to test
the equivalent FCM model: (i) model of three areas simulink model, where area two
has been modified by adding four turbine-governors to verify that it is possible to
define an equivalent FIS model based on data, and (ii) the multi-area system, that
is extracted from a reduced system frequency response model of an electric area of
Great Britain Power System (GBPS), which contains three different types of turbine-governors, the data for this model was obtained from DIgSILENT-PowerFactory. The
equivalent fuzzy model is tested under the same conditions as the original system
with n turbine-governors, and they are compared against each other. The simulation
results and performance analysis show it is possible to find an equivalent model with
excellent performance with FCM and that the parameters of the FIS model can be
adjusted if necessary, with ANFIS
