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Likewise, admittance is not only a measure of the ease with which a steady current can flow, but also the dynamic effects of the material's susceptance to polarization: = +, where Y is the admittance (siemens); G is the conductance (siemens); B is the susceptance (siemens); and; j 2 = −1, the imaginary unit.
The nodal admittance matrix of a power system is a form of Laplacian matrix of the nodal admittance diagram of the power system, which is derived by the application of Kirchhoff's laws to the admittance diagram of the power system. Starting from the single line diagram of a power system, the nodal admittance diagram is derived by:
In electrical engineering, susceptance (B) is the imaginary part of admittance (Y = G + jB), where the real part is conductance (G). The reciprocal of admittance is impedance (Z = R + jX), where the imaginary part is reactance (X) and the real part is resistance (R). In SI units, susceptance is measured in siemens (S).
The admittance is the inverse of impedance. Therefore, = The conductance can be calculated as, = Hence the susceptance, = or = + Here, is the wattmeter reading is the applied rated voltage
Admittance parameters or Y-parameters (the elements of an admittance matrix or Y-matrix) are properties used in many areas of electrical engineering, such as power, electronics, and telecommunications. These parameters are used to describe the electrical behavior of linear electrical networks.
The siemens (symbol: S) is the unit of electric conductance, electric susceptance, and electric admittance in the International System of Units (SI). Conductance, susceptance, and admittance are the reciprocals of resistance, reactance, and impedance respectively; hence one siemens is equal to the reciprocal of one ohm (Ω −1) and is also referred to as the mho.
If a new pair of impedance and admittance is added in front of the network, its input impedance remains unchanged since the network is infinite. Thus, it can be reduced to a finite network with one series impedance Z {\displaystyle \ Z\ } and two parallel impedances 1 / Y {\displaystyle \ 1/Y\ } and Z IT . {\displaystyle \ Z_{\text{IT}}~.}
If it applies to one port only (being of the form ), it may be displayed on an impedance or admittance Smith Chart normalised to the system impedance. The Smith Chart allows simple conversion between the S n n {\displaystyle S_{nn}\,} parameter, equivalent to the voltage reflection coefficient and the associated (normalised) impedance (or ...