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With increasing installation of wind and solar generation, conventionalsynchronous generators in power systems are gradually displaced resulting in asignificant reduction in system inertia. Maintaining system frequency withinacceptable ranges becomes more critical for the stability of a power system. Inthis paper, we first study the impact of inter-area oscillations on the systemrate-of-change-of-frequency (RoCoF) security; then, the limitations onlocational RoCoFs accounting for G-1 contingency stability are derived. Byenforcing these frequency related constraints, a location based RoCoFconstrained security constrained unit commitment (LRC-SCUC) model is proposed.Furthermore, an effective piecewise linearization (PWL) technique is employedto formulate a RoCoF linearization problem and linearize the nonlinear functionrepresenting the location based RoCoF constraints in SCUC. Simulation resultsreveal that the inclusion of inertia-related constraints can substantiallyimprove the system stability at the cost of higher operation cost. The resultsalso show that deploying virtual inertia techniques not only reduces the totalcost, but also improves the system market efficiency.

Security-Constrained Unit Commitment Con-sidering Locational Frequency Stability in Low-Inertia Power Grids