In recent years, considerable attention has been focused on the application of
orthogonal expansions to system analysis, parameter identification, model reduction
and control system design. However, little research has been done in applying their
useful properties to Power System analysis and control. This research attempts to
make some inroads in applying the so called " orthogonal expansion approach " to
analysis and control of Power systems, especially the latter.
A set of orthogonal functions commonly called Walsh functions in system
science after it's discoverer J.L. Walsh [1923] have been successfully used for
parameter identification in the presence of severe nonlinearities. The classical optimal
control problem is applied to a synchronous machine infinite bus system via the
orthogonal expansion approach and a convenient method outlined for designing PID
controllers which can achieve prespecified closed loop response characteristics. The
latter is then applied for designing a dynamic series capacitor controller for a single
machine infinite bus system
