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Quasistatic Single Phase Variable Admittance

Single phase variable admittance

Modelica Standard Library

	Description
	The Quasistatic Single Phase Variable Admittance component connects the complex voltage $v$ with the complex current $i$ by $i = Y v$ . The admittance Y is given as a complex input signal. The model includes a Conditional heat port and temperature dependency.

	Equations
	$i = i_{p} = - i_{n} = (G_{actual} + j B_{ref}) v$ $v = v_{p} - v_{n}$ $G_{actual} = \frac{G_{ref}}{1 + α_{ref} (T_{hp} - T_{ref})}$ $G_{ref} = ℜ (Y_{ref}), B_{ref} = ℑ (Y_{ref})$ $ω = {\overset{&period;}{γ}}_{p}$ $γ_{p} = γ_{n}$ $P_{loss} = ℜ (v \overset{&conjugate0;}{i})$ $T_{hp} = {\begin{array}{c} T_{heatPort} & Use Heat Port \\ T & otherwise \end{array}$

Variables

Name	Units	Description	Modelica ID
$v$	$V$	Complex RMS voltage	v
$i$	$A$	Complex RMS current	i
$ω$	$\frac{rad}{s}$	Angular frequency	omega
$P_{loss}$	$W$	Loss power leaving component via the heat port	LossPower
$T_{hp}$	$K$	Temperature of HeatPort	T_heatPort
$G_{actual}$	$S$	Conductance; temperature dependent	G_actual
$G_{ref}$	$S$	Conductance; real part of admittance	G_ref
$B_{ref}$	$S$	Susceptance; imaginary part of admittance	B_ref

Connections

Name	Description	Modelica ID
${pin}_{p}$	Positive pin	pin_p
${pin}_{n}$	Negative pin	pin_n
$Heat Port$	Conditional heat port	heatPort
$Y_{ref}$	Complex input; variable admittance	Y_ref

Parameters

Name	Default	Units	Description	Modelica ID
$T_{ref}$	$293.15$	$K$	Reference temperature	T_ref
$α_{ref}$	$0$	$\frac{1}{K}$	Temperature coefficient of resistance	alpha_ref
Use Heat Port	$false$		True (checked) means heat port is enabled	useHeatPort
$T$	$T_{ref}$	$K$	Fixed device temperature if useHeatPort = false	T
Frequency dependent	$false$		Consider frequency dependency, if true	frequencyDependent
$f_{ref}$	$1$	$Hz$	Relative frequency, if frequency dependency is considered	f_ref

	Modelica Standard Library
	The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.

See Also

Electrical Library

Quasistatic Overview

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