Transient Stability Solution by an Impedance Matrix Method

1965 ◽  
Vol 84 (12) ◽  
pp. 1204-1214 ◽  
Author(s):  
H. E. Brown ◽  
H. H. Happ ◽  
C. E. Person ◽  
C. C. Young
Keyword(s):  
Matrix Method ◽  
Transient Stability ◽  
Impedance Matrix

scholarly journals Straightening: existence, uniqueness and stability

2014 ◽  
Vol 470 (2164) ◽  
pp. 20130709 ◽  
Author(s):  
M. Destrade ◽  
R. W. Ogden ◽  
I. Sgura ◽  
L. Vergori
Keyword(s):  
Differential Equation ◽  
Numerical Methods ◽  
Circular Cylinder ◽  
Matrix Method ◽  
Stability Problem ◽  
Constitutive Models ◽  
Impedance Matrix ◽  
Riccati Differential Equation ◽  
Incompressible Nonlinear Elasticity ◽  
Existence And Stability

One of the least studied universal deformations of incompressible nonlinear elasticity, namely the straightening of a sector of a circular cylinder into a rectangular block, is revisited here and, in particular, issues of existence and stability are addressed. Particular attention is paid to the system of forces required to sustain the large static deformation, including by the application of end couples. The influence of geometric parameters and constitutive models on the appearance of wrinkles on the compressed face of the block is also studied. Different numerical methods for solving the incremental stability problem are compared and it is found that the impedance matrix method, based on the resolution of a matrix Riccati differential equation, is the more precise.

scholarly journals Transmission line short circuit analysis by impedance matrix method

2020 ◽  
Vol 10 (2) ◽  
pp. 1712
Author(s):  
Boniface Onyemaechi Anyaka ◽  
Innocent Onyebuchi Ozioko
Keyword(s):  
Power System ◽  
Transmission Line ◽  
Matrix Method ◽  
Electrical Power ◽  
Fault Analysis ◽  
Single Line ◽  
Impedance Matrix ◽  
Electrical Power System ◽  
Ground Fault ◽  
Fault Currents

Fault analysis is the process of determining the magnitude of fault voltage and current during the occurrence of different types of fault in electrical power system. Transmission line fault analysis is usually done for both symmetrical and unsymmetrical faults. Symmetrical faults are called three-phase balance fault while unsymmetrical faults include: single line-to-ground, line-to-line, and double line-to-ground faults. In this research, bus impedance matrix method for fault analysis is presented. Bus impedance matrix approach has several advantages over Thevenin’s equivalent method and other conventional approaches. This is because the off-diagonal elements represent the transfer impedance of the power system network and helps in calculating the branch fault currents during a fault. Analytical and simulation approaches on a single line-to-ground fault on 3-bus power system network under bolted fault condition were used for the study. Both methods were compared and result showed negligible deviation of 0.02% on the average. The fault currents under bolted condition for the single line-to-ground fault were found to be 4. 7244p.u while the bus voltage is 0. 4095p.u for buses 1 and 2 respectively and 0. 00p.u for bus 3 since the fault occurred at this bus. Therefore, there is no need of burdensomely connecting the entire three sequence network during fault analysis in electrical power system.

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