Characterization of power systems near their stability boundary by Lyapunov direct method

2014 ◽  
Vol 47 (3) ◽  
pp. 9087-9092 ◽  
Author(s):  
Igor B. Yadykin ◽  
Dmitry E. Kataev ◽  
Alexey B. Iskakov ◽  
Vladislav K. Shipilov
Keyword(s):  
Power Systems ◽  
Direct Method ◽  
Stability Boundary ◽  
Lyapunov Direct Method

Characterization of power systems near their stability boundary using the sub-Gramian method

2016 ◽  
Vol 53 ◽  
pp. 173-183 ◽  
Author(s):  
Igor B. Yadykin ◽  
Dmitry E. Kataev ◽  
Alexey B. Iskakov ◽  
Vladislav K. Shipilov
Keyword(s):  
Power Systems ◽  
Stability Boundary

Characterization of frozen hydrated biological specimens by low-loss EELS

1992 ◽  
Vol 50 (2) ◽  
pp. 1572-1573
Author(s):  
Songquan Sun ◽  
Richard D. Leapman
Keyword(s):  
Water Content ◽  
Direct Method ◽  
Internal Standard ◽  
Dry Weight ◽  
Dark Field ◽  
Protein Solutions ◽  
Subcellular Compartment ◽  
Differential Shrinkage ◽  
Electron Energy Loss

Analyses of ultrathin cryosections are generally performed after freeze-drying because the presence of water renders the specimens highly susceptible to radiation damage. The water content of a subcellular compartment is an important quantity that must be known, for example, to convert the dry weight concentrations of ions to the physiologically more relevant molar concentrations. Water content can be determined indirectly from dark-field mass measurements provided that there is no differential shrinkage between compartments and that there exists a suitable internal standard. The potential advantage of a more direct method for measuring water has led us to explore the use of electron energy loss spectroscopy (EELS) for characterizing biological specimens in their frozen hydrated state.We have obtained preliminary EELS measurements from pure amorphous ice and from cryosectioned frozen protein solutions. The specimens were cryotransfered into a VG-HB501 field-emission STEM equipped with a 666 Gatan parallel-detection spectrometer and analyzed at approximately −160 C.

Characterization of Oscillations in Developing Power Systems: The Nigerian Case Study

2021 ◽  
Author(s):  
Nnaemeka Sunday Ugwuanyi ◽  
Uma Uzubi Uma ◽  
Arthur Obiora Ekwue
Keyword(s):  
Power Systems

scholarly journals Stability of Fractional Differential Equations with New Generalized Hattaf Fractional Derivative

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Khalid Hattaf
Keyword(s):  
Stability Analysis ◽  
Differential Equations ◽  
Fractional Derivative ◽  
Fractional Differential Equations ◽  
Fractional Derivatives ◽  
Direct Method ◽  
Lyapunov Direct Method ◽  
Science And Engineering ◽  
Fractional Differential ◽  
The Stability

This paper aims to study the stability of fractional differential equations involving the new generalized Hattaf fractional derivative which includes the most types of fractional derivatives with nonsingular kernels. The stability analysis is obtained by means of the Lyapunov direct method. First, some fundamental results and lemmas are established in order to achieve the goal of this study. Furthermore, the results related to exponential and Mittag–Leffler stability existing in recent studies are extended and generalized. Finally, illustrative examples are presented to show the applicability of our main results in some areas of science and engineering.

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