It provides tympanograms of admittance (Y), susceptance
(B), and conductance (G) at each frequency.
Our formulation is based on a standard direct current (DC) load-flow model in order to linearize loop flows in a power system resulting from KirchhofFs laws, which uses the network transfer matrix H and the susceptance
matrix B with the voltage angle v (Schweppe et al, 1988; Gabriel and Leuthold, 2010).
The sheet with well-designed parameters (permittivity, thickness, and height above the array) acts as a shunt susceptance
to achieve an impedance match at one scan angle.
where "G" is the conductance of the line and "B" is the susceptance
(R and X being the resistance and reactance).
The admittance Y([omega]) is represented as a shunt circuit composed of a conductance G([omega]) and a susceptance
B([omega]), where G([omega]) emulates the conductive pathways of the tissue and B([omega]) accounts for the electric field effect.
[G.sub.ki] and are [B.sub.ki] the transfer conductance and susceptance
between bus k and bus i respectively.
The proposed power resolution is based on the separation of load current into orthogonal components as active, reactive, scattered conductance, scattered susceptance
, unbalanced conductance and unbalanced susceptance
currents, which are all related to the conductance and susceptance
parameters of the load.
where [V.sub.i] is the voltage of node i and [G.sub.ij], [B.sub.ij], and [[theta].sub.ij] are the conductance, susceptance
, and phase angle of branch ij.
A complete SVC susceptance
and firing angle models are suitable for conventional and optimal power flow analysis.
where i = 1,2,3, ..., NB, [P.sub.Gi], is real power output, [P.sub.Di] is real power demand, [Q.sub.Gi], is reactive power output, [Q.sub.Di] is reactive power demand at the ith bus, [B.sub.ij] is susceptance
of the line, [[theta].sub.ij] voltage angle differences between ith and jth bus, NB is the total number of buses.
Then, the equivalent conductance [G.sub.eq](V, f), the susceptance
[B.sub.eq](V, f) and the equivalent capacitance [C.sub.eq](V, f) of the modified simple equivalent circuit, shown in Fig.
The L-S admittance of the device is resolved into real and imaginary parts to obtain the L-S negative conductance (G(f)) and corresponding susceptance
(B(f)) as functions of frequency (since [Y.sub.D](f) = (G(f) + jB(f))[A.sub.j]; where [A.sub.j] is the effective junction area of the device considering circular cross-sectional area of the device, that is, [A.sub.j] = [pi][([D.sub.j]/2).sup.2]).