1995
DOI: 10.1109/9.471228
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Fast time-varying phasor analysis in the balanced three-phase large electric power system

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Cited by 123 publications
(89 citation statements)
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“…As in [16] and [21], we set dIij dt = 0 and dIji dt = 0. Consequently, from (1c) and (1d), one gets the QSL modelĪ…”
Section: Qsl Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…As in [16] and [21], we set dIij dt = 0 and dIji dt = 0. Consequently, from (1c) and (1d), one gets the QSL modelĪ…”
Section: Qsl Modelmentioning
confidence: 99%
“…Moreover, when a DGU is plugged in or out, only DGUs physically connected to it have to retune their local controllers. As in [4], we exploit Quasi-Stationary Line (QSL) approximations of line dynamics [16] and use structured Lyapunov functions for mapping control design into a Linear Matrix Inequality (LMI) problem. This also allows to automatically deny plugging-in/out requests if these operations spoil the stability of the ImG.…”
Section: Introductionmentioning
confidence: 99%
“…The causes of these reactive power-voltage instabilities are multifold. Most generally, the inherent assumption in the classical model that the electromagnetic variables do not change right after the disturbance underlying their decoupling from electromechanical variables no longer holds, since the rate of change of the voltages approaches infinity [77]. This also pushes the validity of phasors to its limits, requiring partial differential equations (PDEs) representation.…”
Section: B Frequently Used Models and The Underlying Assumptionsmentioning
confidence: 99%
“…On the other hand, if nodal angles deviate, their corresponding change with time is used as a state variable which is frequency and does vary over time. This inconsistency could be confusing and creates open questions when one attempts to capture highly unusual emerging phenomena in electric power systems [77], [78].…”
Section: General Dae Model Of Today's Electric Power Systemsmentioning
confidence: 99%
“…Moreover, when a DGU is plugged in or out, only DGUs physically connected to it have to retune their local controllers. As in [3], we exploit QuasiStationary Line (QSL) approximations of line dynamics [16] and use structured Lyapunov functions for mapping control design into a Linear Matrix Inequality (LMI) problem. This also allows to automatically deny plugging in/out requests if these operations spoil the stability of the ImG.…”
Section: Introductionmentioning
confidence: 99%