Exponentials Current - MapleSim Help

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Exponentials Current

Rising and falling exponential current source

Modelica Standard Library

	Description
	The Exponentials Current source generates a single current pulse which first rises and then falls. The rising and falling edges are exponentials.

	Equations
	$i = i_{p} = - i_{n} = I_{0} + I_{\max} {\begin{array}{c} 0 & t < T_{0} \\ 1 - \exp (- \frac{t - T_{0}}{τ_{r}}) & T_{0} \leq t \leq T_{0} + T_{r} \\ (1 - \exp (- \frac{Tr}{τ_{r}})) (1 - \exp (- \frac{t - T_{0}}{τ_{f}})) & otherwise \end{array}$ $v = v_{p} - v_{n}$

Variables

Name	Units	Description	Modelica ID
$v$	$V$	Voltage drop between the two pins	v
$v_{x}$	$V$	Voltage at pin $x$ , $x \in \{n, p\}$	x.v
$i$	$A$	Current flowing from pin $p$ to pin $n$	i
$i_{x}$	$A$	Current into pin $x$ , $x \in \{n, p\}$	x.i

Connections

Name	Description	Modelica ID
$p$	Positive pin	p
$n$	Negative pin	n

Parameters

Name	Default	Units	Description	Modelica ID
$τ_{r}$	$0.1$	$s$	Rise time constant	riseTimeConst
$τ_{f}$	$τ_{r}$	$s$	Fall time constant	fallTimeConst
$T_{0}$	$0$	$s$	Time offset (start time)	startTime
$T_{r}$	$0$	$s$	Rise time	riseTime
$I_{\max}$	$1$	$A$	Upper bound for rising edge	iMax
$I_{0}$	$0$	$A$	Current offset	offset

	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

Analog Components

Current Sources

Electrical Library

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