adaptive addressing adomian advanced against algebraic algorithm allocation amplitude analysis analytic analytical angular application applications applying approach areas assessing assessment assisted autoregressive awareness balance based basis blackouts branching calculating cascading cases centers characterization classical classifiers coarse comparative component computation connectivity consideration considering constructing contingencies control controllability controlled controller controlling correlation corresponding covariance curent curve damping decision decomposition decoupling delays design detection diagram differential dimensional direct during dynamic dynamics early efficient elastic electric electromechanical embedding empirical enhanced entergy equations equivalent establish estimating estimation events evolution failure failures feasible fidvr filter flows fluctuations force formulation framework frequencies frequency generator gradient gramian graph groebner group hardware harmonic healing holomorphic hybrid hydropower identification implementation improving initial input instability integer integrating integration intelligent inter interaction interactions interconnection interdependent investigation island islanding issues kalman large layer library linear lines locating location locked machine margin markovian matching measurement measurements method methods microgrid microgrids milestones mitigation mixed modal model modeling models monitoring motions multi multivariate network networks nonlinear numerical obdds observability online operation operator optimal optimization order oscillation oscillations oscillator outage outages output outsourcing overhead parallel parareal partitioning passive pattern penetration phase phasor placement plane potential power predict prediction preserving preventing preventive privacy problems processes programing programming propagation proper properties quasi reactive recognition reduced reduction related relationship relative reliable response restoration review scale scheme search searching second sectionalizing security selection separation series signal signals simulation simulations situational smart solution solutions solve solver sources space spectral splitting stability stage state stochastic strategies studies study support survey sustained synchronized synchrophasor synchrophasors system systematic systems temperature theoretical theory thevenin three timescale tools towards tracking training trajectories transient transmission trees tribulations under understanding unified units unscented using vector visualization voltage voronoi vulnerability warning weather