Journal ArticleDOI
The Application of Lyapunov Methods to the Computation of Transient Stability Regions for Multimachine Power Systems
TLDR
In this article, a method for computing a stability region for a multimachine power system is presented, which can be proved by means of a Lyapunov function which will, together with a method of computing the domain of attraction of an equilibrium point of a dynamic system, lead to a systematic procedure for obtaining an estimate of the region of stability.Abstract:
This paper outlines a method for computing a stability region for a multimachine power system. It is shown that the dynamic equations describing this system are of the type for which some rather elegant stability criteria are known, of which the Popov criterion is the most useful. It can be proved by means of a Lyapunov function which will, together with a method for computing the domain of attraction of an equilibrium point of a dynamic system, lead to a systematic procedure for obtaining an estimate of the region of stability for a multimachine power system. The procedure is very well suited for automatic computation and can take into consideration the effects of damping and of fast governors.read more
Citations
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Journal ArticleDOI
On the estimation of asymptotic stability regions: State of the art and new proposals
TL;DR: In this article, the authors provide a comprehensive survey of the existing methods and their applications in engineering fields, and present several examples of application of the proposed technique for low-order (second and third) systems.
Journal ArticleDOI
Direct methods for studying dynamics of large-scale electric power systems-A survey
TL;DR: This paper attempts to give a unified overview of how direct methods solve the transient stability problem of large-scale power systems by focusing on the derivation of stability indices, intended for on-line monitoring, contingency evaluation and security control.
Journal ArticleDOI
Co-Optimization of Power and Reserves in Dynamic T&D Power Markets With Nondispatchable Renewable Generation and Distributed Energy Resources
TL;DR: A distributed, massively parallel architecture that enables tractable transmission and distribution locational marginal price (T&DLMP) discovery along with optimal scheduling of centralized generation, decentralized conventional and flexible loads, and distributed energy resources (DERs).
Journal ArticleDOI
On the phase portrait of a class of large nonlinear dynamic systems such as the power system
TL;DR: The connection between the constant energy surface and the stability boundary of the power system is explored and gives valuable insight into classical stability tests, which are based on the constantEnergy surface.
Journal ArticleDOI
Large Signal Lyapunov-Based Stability Studies in Microgrids: A Review
TL;DR: The aspects that make Lyapunov-based microgrid stability studies interesting and valuable are highlighted and areas that future research could address to improve large-signal stability studies of microgrids are recommended.
References
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Journal ArticleDOI
Transient Stability Regions of Multimachine Power Systems
Ahmed H. El-Abiad,K. Nagappan +1 more
TL;DR: In this paper, a new approach to the quantitative study of the transient stability of large power systems is presented, using the second method of Liapunov, and a region of asymptotic stability for the post-fault system is obtained through LiAPunov theorems.
Journal ArticleDOI
Direct Method of Liapunov Applied to Transient Power System Stability
TL;DR: In this paper, the direct method of Liapunov is applied to the problem of power system stability and compared with the phase plane technique and equal area criterion, with all three approaches giving identical results for the equivalent 1-machine system.
Journal ArticleDOI
The energy-integral criterion of transient stability limits of power systems
TL;DR: In this paper, the authors proposed a method to determine the transient stability limits for a power system with two machines and are shown to be equivalent to establishing the energy integrals of the system.
Journal ArticleDOI
Stability of control systems with multiple nonlinearities
TL;DR: In this paper, the Popov criterion for the stability of a system containing a simple memoryless nonlinearity has been generalized to the case of systems containing an arbitrary number of nonlinearities, and the main result is established, with an application to deriving a subsidiary result, already discovered by other techniques.
Journal ArticleDOI
The computation of finite stability regions by means of open Liapunov surfaces
TL;DR: In this article, the authors used Liapunov surfaces which are not necessarily closed to compute finite stability regions for systems with a single nonlinear clement (tho Lur'o problem), and also for system with a product-typo nonlinearity.