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This thesis proposes novel Small-Signal Stability Analysis (SSSA)-basedtechniques that contribute to electric power system modal analysis, automaticcontrol, and numerical integration. Modal analysis is a fundamental tool forpower system stability analysis and control. The thesis proposes a SSSAapproach to determine the Participation Factors (PFs) of algebraic variables inpower system dynamic modes. The thesis also explores SSSA techniques for thedesign of power system controllers. The contributions on this topic aretwofold: i) Investigate a promising control approach, that is to synthesizeautomatic regulators for power systems based on the theory of fractionalcalculus. ii) Propose a novel perspective on the potential impact of timedelays on power system stability. Through SSSA, the thesis systematicallyidentifies the control parameter settings for which delays in PSSs improve thedamping of a power system. Both analytical and simulation-based results arepresented. Finally, SSSA is utilized in the thesis to systematically propose adelay-based method to reduce the coupling of the equations of power systemmodels for transient stability analysis. The method consists in identifying thevariables that, when subjected to a delay equal to the time step of thenumerical integration, leave practically unchanged the system trajectories.Such an one-step-delay approximation increases the sparsity of the systemJacobian matrices and can be used in conjunction with state-of-the-arttechniques for the integration of DAEs. The proposed approach is evaluated interms of accuracy, convergence and computational burden. Throughout the thesis,the proposed techniques are duly validated through numerical tests based onreal-world network models.

Small-Signal Stability Techniques for Power System Modal Analysis, Control, and Numerical Integration