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Calculation of stability region

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
In the stability analysis of power systems it is extremely important to determine the stability region of a working (equilibrium) point. This paper first gives a quadratic approximation to the boundary sub-manifold of the stability region, which assures the error be of O(||x||/sub 3/).
null Daizhan Cheng, null Jin Ma
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Method for calculating optical coating stabilities

Applied Optics, 1993
The reflectivity R of a multilayer stack and its first and second derivatives with respect to the phase change are derived here by a recursive method. These equations improve the determination of stability conditions for coatings and widen the applications to treatments other than antireflection coatings, as reported by Mouchart [Appl. Opt.
L E, Regalado, R, Garcia-Llamas
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Suggestions for slope stability calculations

Computers & Structures, 1981
Abstract Considerations for the selection of potential slide surface geometry in slope stability calculations by the limit equilibrium method are presented. Relations between the solution variables and the Mohr-Coulomb strength parameters for no failure on the interslice boundaries are derived.
Ashok K. Chugh, John D. Smart
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DIRECT CALCULATION OF STABILITY MARGINS

IFAC Proceedings Volumes, 1994
Abstract A novel method is presented, which has been developed to compute stability margins in the parameter space and other related characteristics of linear control loops in a direct and efficient manner using methods of linear algebra. The algebraic representation of stability margins in terms of a pencil of resultant matrices opens the ...
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Multi-machine dynamic stability calculations

IEEE Transactions on Power Apparatus and Systems, 1976
The dynamic performance of a multi-machine power system can be studied by obtaining the equations in state variable form and examining the characteristics of the [A] matrix. A formulation is described to write the original differential and algebraic equations in a form that reduces the matrix conversion time to obtain the [A] matrix by convenient ...
R.T.H. Alden, H.M. Zein El-Din
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Ideal MHD stability calculations for compact stellarators

Computer Physics Communications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sanchez, R.   +10 more
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Hydrostatic stability calculations by pressure integration

Deep Sea Research Part B. Oceanographic Literature Review, 1990
Abstract It is the purpose of this paper to present a new method for the calculation of hydrostatic properties of intact and damaged ship hulls and other floating structures. The geometry of the floating structure is modelled as a set of compartments, bounded by flat panels.
S. Schalck, J. Baatrup
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Stability calculations for Eu@C74 isomers

International Journal of Quantum Chemistry, 2012
AbstractDensity functional theory (DFT) calculations are reported for Eu@C74, where the considered C74 cage is either the IPR (isolated pentagon rule) species or two cages with a pentagon–pentagon junction. Their relative thermodynamic production yields are evaluated using the DFT calculated terms and it is shown that the IPR‐based Eu@C74 endohedral ...
Uhlík, Filip   +4 more
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Evaluation of Tietjens Function in Stability Calculations

The Physics of Fluids, 1966
Tietjens function is re-expressed as a ratio of rapidly converging power series of its (complex) argument which may be utilized to replace tables or graphs in the calculation of critical Reynolds numbers from asymptotic theory.
Chen, T. S.   +2 more
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Calculation of stability constants from photometric data

Talanta, 1973
A method originally designed for the determination of stability constants by using a wedge calorimeter has been adapted to normal photometric measuring techniques. The calculations are simple and the method is especially suitable for use when the absorptivities of the absorbing species are unavailable because these species cannot be obtained alone in ...
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