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A General Criterion for the Dynamical Stability of Anisotropic Newtonian Systems [article]

Giuseppe Alberti, Marco Merafina
2019 arXiv   pre-print
The problem of the dynamical stability of anistropic systems is studied, by proposing a criterion in terms of the adiabatic local index γ.  ...  Some applications of the criterion are also included.  ...  CONCLUSIONS In this paper we have derived a general criterion for the dynamical stability of anisotropic systems, by following the approach proposed by Dev & Gleiser.  ... 
arXiv:1601.06134v2 fatcat:n46l26ppovdzvc6kdvydy76lzy

A general stability criterion for switched linear systems having stable and unstable subsystems

Jesús San Martín, Anthony G. O'Farrell
2012 International Journal of Adaptive Control and Signal Processing  
We report conditions on a switching signal that guarantee that solutions of a switched linear systems converge asymptotically to zero.  ...  These conditions are apply to continuous, discrete-time and hybrid switched linear systems, both those having stable subsystems and mixtures of stable and unstable subsystems.  ...  We can deduce a theorem for these systems that gives the sufficient conditions of stability by using theorems 1 and 2. Theorem 3 .  ... 
doi:10.1002/acs.2373 fatcat:5ajjrjo64fdgxkbuvit4oomlni

Page 1953 of Mathematical Reviews Vol. 56, Issue 5 [page]

1978 Mathematical Reviews  
T. 14989a A general frequency stability criterion for multi-input-output, lumped and distribut. er feedback systems, Internat. J.  ...  A. 14989c Comments on the paper: ‘‘A general frequency stability criterion for multi-input-output, lumped and distributed-parameter feed- back systems’? by C. F. Chen and Y. T. Tsay. Internat. J.  ... 

Online Assessment of Transient Stability of Grid Connected PV Generator with DC Link Voltage and Reactive Power Control

Indla Rajitha Sai Priyamvada, Sarasij Das
2020 IEEE Access  
A stability criterion for grid connected PV generator with P Q control using energy functions is presented in [7] .  ...  The criterion can also be used for implementing adaptive control schemes in PV converters to enhance power system stability. II. TRANSIENT STABILITY OF SPIB SYSTEM A.  ... 
doi:10.1109/access.2020.3042784 fatcat:so2ootjrdbhg3jjqmloxxsqkwm

Transient Stability of Vdc — Q Control based PV Generator with Voltage Support Connected to Grid Modelled as Synchronous Machine

Indla Rajitha Sai Priyamvada, Sarasij Das
2020 IEEE Access  
The increasing penetration of PhotoVoltaic (PV) generation has a significant impact on the transient stability of power systems.  ...  The conventional equal area criterion based stability analysis is not applicable for PV generators with DC-link voltage and reactive power control.  ...  So, the extended equal area criterion approach for transient stability assessment is not valid for SP-SM system. There is a need for a new transient stability assessment method for SP-SM system.  ... 
doi:10.1109/access.2020.3008942 fatcat:2t2yg3gfjzhypkaiwrhhllofpa

Stability Criterion for Cascaded System With Constant Power Load

Weijing Du, Junming Zhang, Yang Zhang, Zhaoming Qian
2013 IEEE transactions on power electronics  
The two criteria are simple and straightforward, which can be unified to get a general stability criterion to predict system's stability under both small-signal and large-signal transient disturbances.  ...  The stability of whole system is still a big concern though every single converter is well designed based on the stand-alone operation with sufficient stability.  ...  For generalization purpose, we still can use (22) as the general stability criterion for cascaded system with type-III compensation circuit since it is a sufficient condition to predict the system stability  ... 
doi:10.1109/tpel.2012.2211619 fatcat:l5vxqrl7prc3rh6kj4oed3c4u4

Admittance space stability analysis of power electronic systems

S.D. Sudhoff, S.F. Glover, P.T. Lamm, D.H. Schmucker, D.E. Delisle
2000 IEEE Transactions on Aerospace and Electronic Systems  
Stability analysis of this class of systems is crucial due to the potential for negative impedance instability.  ...  A new stability criterion, which reduces artificial conservativeness and is also insensitive to component grouping is described.  ...  In order to facilitate the numerical processing of the linearized models, the authors have created a Matlab toolbox to formulate the stability criterion, generate generalized source impedances and load  ... 
doi:10.1109/7.869516 fatcat:hznw2b6mibbgxoq74lo2ftvavu

A review of design criteria for low voltage DC distribution stability

Kyle Smith, Stuart Galloway, Graeme Burt
2016 2016 51st International Universities Power Engineering Conference (UPEC)  
This paper presents an overview of the current development status of LVDC distribution and reviews the modelling and stability criteria available to designers of DC distribution systems for land, aerospace  ...  and marine power system applications.  ...  ACKNOWLEDGEMENTS This work has been supported through the EPSRC Centre for Doctoral Training in Future Power Networks and Smart Grids (EP/L015471/1) with industry support from Rolls-Royce plc. VIII.  ... 
doi:10.1109/upec.2016.8114089 fatcat:zdyvlxpww5gapd5y5k7q76qnjq

A generalization of the Popov criterion

J.B. Moore, B.D.O. Anderson
1968 Journal of the Franklin Institute  
A criterion for the stability of control systems which contain an arbitrary jinik number oj memoryless nonlinearities is considered.  ...  The criterion is such that the degree oj stability may be specijied, and such that for the case when the absolute stability of a control system having one memoryless nonlinearity is considered, it reduces  ...  Faurre; the latter first pointed out the ill-definition of the integral (8) in the coupled nonlinearity case, and the necessity to not introduce a zero in Z(s) which might cancel a pole of W(s).  ... 
doi:10.1016/0016-0032(68)90053-7 fatcat:wm25vxodifa2rmqogswf3sq5yq

An Analytical Criterion for Stability Boundaries of Non-Autonomous Systems Based on Melnikov's Method

Yoshihiko SUSUKI, Takashi HIKIHARA
2002 Transactions of the Institute of Systems Control and Information Engineers  
That is, it has a possibility to become the analytical criterion for the stability boundaries of non-autonomous systems under certain conditions.  ...  Introduction This paper proposes an analytical criterion for stability boundaries of non-autonomous systems.  ...  Appendix Proof of Lemma 3 Applying the Gronwall's inequality [13, 14] to the basic systems (2) and (6), the following relationship is given based on Lemma 2: Using Eq. (2), qsƒÃ(t) satisfies Since  ... 
doi:10.5687/iscie.15.586 fatcat:2dh23gd3yjhf7hmiui3sc7n5oq

Simplified Criterion of Steady-State Stability of Electric Power Systems

K. R. Allaev, A. M. Mirzabaev, T. F. Makhmudov, T. A. Makhkamov
2015 Journal of Power and Energy Engineering  
Upon that, the use of the node-voltage equations allows reducing study of a steady-state stability of complex EPS to study of the generator-bus system.  ...  In the paper the simplified criterion of a steady-state stability of electric power systems (EPS) is justified on the basis of Lyapunov functions in a quadratic form ensuring necessary and sufficient conditions  ...  Construction of V for nonlinear systems is generally performed by a trial method and obtained results ensure only sufficient conditions of stability for the explored system.  ... 
doi:10.4236/jpee.2015.34031 fatcat:hphrf4e6jzdzflt53qjwg2p5ym

An Approach Transient Stability Analysis Using Equivalent Impedance Modified in 150 kV South of Sulawesi System

Muhammad Ruswandi Djalal, Herman Nawir, Herlambang Setiadi, Andi Imran
2017 JEEE-U (Journal of Electrical and Electronic Engineering-UMSIDA)  
One of methods that can be used to determine the stability of a power system if the fault occured is the equal area criterion method.  ...  The equal area criterion method (Equal Area Criterion, EAC) is an example of a direct method for predicting the stability and also the critical clearing time (Critical clearing time).  ...  In several research have used this method for determining transient stability of generator, those are using equal area criterion directly used to a non-equivalent generator pair [3] , [4] using A simple  ... 
doi:10.21070/jeee-u.v1i1.758 fatcat:m2yiaqw4incoji3evcv33vczfq

Page 1169 of Mathematical Reviews Vol. , Issue 94b [page]

1994 Mathematical Reviews  
We establish an algebraic criterion for absolute stability of nonlinear discrete systems with a periodic linear part.  ...  Summary: “A Hurwitz stability criterion for the convex hull of two matrices due to C. R.  ... 

Discussion on: Almost Sure Stability of Stochastic Linear Systems with Ergodic Parameters

Thomas Most, Hideaki Ishii, Xiaojun Geng
2008 European Journal of Control  
Lyapunov exponent of a stable system is always bounded as This criterion can serve a very efficient way to assess a system stability by integrating over a relatively short time period T.  ...  The standard criterion for exponential almost sure stability is well-known as with the top Lyapunov exponent This criterion theoretically requires the integration of the system equations until infinity  ...  1 1 t ln kÈðt; 0Þk " T < 0 ð4Þ This criterion can serve a very efficient way to assess a system stability by integrating over a relatively short time period T.  ... 
doi:10.3166/ejc.14.124-130 fatcat:2glt3dj3hfb7fcqmyesubadgpq

Discussion on: "Almost Sure Stability of Stochastic Linear Systems with Ergodic Parameters"

Thomas Most
2008 European Journal of Control  
Lyapunov exponent of a stable system is always bounded as This criterion can serve a very efficient way to assess a system stability by integrating over a relatively short time period T.  ...  The standard criterion for exponential almost sure stability is well-known as with the top Lyapunov exponent This criterion theoretically requires the integration of the system equations until infinity  ...  1 1 t ln kÈðt; 0Þk " T < 0 ð4Þ This criterion can serve a very efficient way to assess a system stability by integrating over a relatively short time period T.  ... 
doi:10.1016/s0947-3580(08)70753-2 fatcat:yccjdocc5zaxpn4nddfcm3pz5q
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