Direct methods for transient stability analysis of power systems: Recent results

Varaiya, Pravin; Wu, F.F.; Chen, Rongliang

doi:10.1109/proc.1985.13366

Cited by 260 publications

(169 citation statements)

References 38 publications

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“…We consider a generic meshed microgrid and, following the classical approach in conventional power system studies, assume that loads are modeled by constant impedances [41]. This leads to a set of nonlinear differential-algebraic equations.…”

Section: Network Modelmentioning

confidence: 99%

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Conditions for stability of droop-controlled inverter-based microgrids

Schiffer¹,

Ortega²,

Astolfi³

et al. 2014

Automatica

383

367

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We consider the problem of stability analysis for droop-controlled inverter-based microgrids with meshed topologies. The inverter models include variable frequencies as well as voltage amplitudes. Conditions on the tuning gains and setpoints for frequency and voltage stability, together with desired active power sharing, are derived in the paper. First, we prove that for all practical choices of these parameters global boundedness of trajectories is ensured. Subsequently, assuming the microgrid is lossless, a port-Hamiltonian description is derived, from which sufficient conditions for stability are given. Finally, we propose for generic lossy microgrids a design criterion for the controller gains and setpoints such that a desired steady-state active power distribution is achieved. The analysis is validated via simulation on a microgrid based on the CIGRE (Conseil International des Grands Réseaux Electriques) benchmark medium voltage distribution network.

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Section: Network Modelmentioning

confidence: 99%

“…The need to introduce the, sometimes unrealistic, assumption of lossless admittances has a long history in power systems studies. It appears in transient stability studies, where the presence of transfer conductances hampers the derivation of energy-Lyapunov functions [41].…”

Section: Stability For Lossless Microgridsmentioning

confidence: 99%

Conditions for stability of droop-controlled inverter-based microgrids

Schiffer¹,

Ortega²,

Astolfi³

et al. 2014

Automatica

383

367

View full text Add to dashboard Cite

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“…The notations above are borrowed from [15]. The holding times are those of the misoperated dynamics and the postfault (degraded) dynamics, necessary for studying the recovery process.…”

Section: Continuous-state Dynamics During the Holding Time At A Discrmentioning

confidence: 99%

“…Our approach to answering whether the fault-on electromechanical state is in the post-fault boundary of Aðx e Þ characterized off-line [15] by tracking the state in realtime. Further, we ask whether a secondary protection can be devised to establish Aðx e Þ that encloses the electromechanical state in the face of misoperations of the primary protection.…”

Section: Continuous-state Dynamics During the Holding Time At A Discrmentioning

confidence: 99%

“…Thus reliability in this context is an overarching measure encompassing both steady-state availability (adequacy) defined for a discrete state stochastic process and transient stability (security) defined for a continuous-state dynamic system whose mode of operation is determined by the prevailing discrete state. The fact that availability and security have been viewed as largely disconnected is evidenced by the separate bodies of power systems literature [12][13][14][15]. This disconnection is an obstacle hindering the progress in the general area of mitigation of cascading failures.…”

Section: Introductionmentioning

confidence: 99%

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Secondary protective control for mitigation of protection misoperations in electric power systems

Qin

2016

J. Mod. Power Syst. Clean Energy

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This paper investigates the feasibility of a selective secondary protective control strategy proposed to maximize the likelihood of recovery from misoperations of the existing (primary) protection in a power system. A scalable stochastic discrete-state model is established, taking into consideration of the processes of protection misoperations and their mitigations. Such misoperations have been a main culprit of cascading failures in modern power systems. The likelihood of recovery from protection misoperations is quantified by a set of security indices that formally incorporate the uncertain knowledge of the continuous-state of rotor angles/speed deviations of synchronous generators and that of the discretestate of equipment faults and primary protection misoperations. The proposed secondary protection leverages on the ever more available time-synchronized samples of networked sensors for diagnosis and fault-tolerant control to cost effectively improving power system reliability without altering the existing protection system. The technology readiness for implementing the secondary protective control is examined through a three-area test system.

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Power System Stability

Chiang

1999

Wiley Encyclopedia of Electrical and Electronics Engineering

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The sections in this article are Power System Stability Problems The Time‐Domain Approach Direct Methods Direct Methods for Differential Algebraic Equation Systems BCU Method On‐Line Dynamic Security Assessments Voltage Stability Some Further Developments

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Direct methods for transient stability analysis of power systems: Recent results

Cited by 260 publications

References 38 publications

Conditions for stability of droop-controlled inverter-based microgrids

Conditions for stability of droop-controlled inverter-based microgrids

Secondary protective control for mitigation of protection misoperations in electric power systems

Power System Stability

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