Controlled Closing Switch With Arc - MapleSim Help

Controlled Closing Switch With Arc

Controlled ideal electrical closer with simple arc model

 Description The Controlled Closing Switch with Arc (or Controlled Closer With Arc) component models a two-terminal, single-pole, electrical switch whose contacts arc when opened, which occurs when the control input voltage drops below a defined level. This model is an extension of the IdealClosingSwitch. The basic model interrupts the current through the switch in an infinitesimal time span. If an inductive circuit is connected, the voltage across the switch is limited only by numerics. To better approximate the actual voltage across the switch, a simple arc model is added. When the Boolean input $\mathrm{control}$ signals to open the switch, a voltage is impressed across the opened switch. This voltage starts at ${V}_{0}$ (simulating the voltage drop of the arc roots), rises with slope $\stackrel{.}{V}$ (simulating the rising voltage of an extending arc) until a maximum voltage ${V}_{\mathrm{max}}$ is reached. Depending on the connected circuit, the arc voltage reduces the current through the switch.  When the current reaches zero the arc is quenched and the switch goes to the off-state. When the Boolean input $\mathrm{control}$ signals to close the switch again, the switch is closed immediately. In an AC circuit, the arc quenches when the next natural zero-crossing of the current occurs. In a DC circuit, the arc will not quench if the arc voltage is not sufficient to force the current to zero.
 Equations $\left\{\begin{array}{cc}v={R}_{\mathrm{on}}i& \mathrm{on}\\ i={G}_{\mathrm{off}}v& \mathrm{quenched}\\ v=\mathrm{min}\left({V}_{\mathrm{max}}\phantom{\rule[-0.0ex]{0.5ex}{0.0ex}},\phantom{\rule[-0.0ex]{0.5ex}{0.0ex}}{V}_{0}+\stackrel{.}{V}\left(t-{t}_{\mathrm{Switch}}\right)\right)& \mathrm{otherwise}\end{array}$ ${t}_{\mathrm{Switch}}=\mathrm{time control goes true}$ $\mathrm{quenched}=\left(\mathrm{off}\wedge \left(\left|i\right|\le \left|v\right|{G}_{\mathrm{off}}\vee \mathrm{pre}\left(\mathrm{quenched}\right)\right)\right)$ $\mathrm{off}=\left({v}_{\mathrm{control}}<\mathrm{level}\right)$ $i={i}_{p}=-{i}_{n}$ $v={v}_{p}-{v}_{n}$ ${i}_{\mathrm{control}}=0$ $\mathrm{LossPower}=vi$

Variables

 Name Units Description Modelica ID $v$ $V$ Voltage drop between the two pins v ${v}_{x}$ $V$ Voltage at pin $x$, $x\in \left\{n,p\right\}$ x.v $i$ $A$ Current flowing from pin p to pin n i ${i}_{x}$ $A$ Current into pin $x$, $x\in \left\{n,p\right\}$ x.i $\mathrm{LossPower}$ $W$ Loss power leaving component via HeatPort LossPower ${T}_{\mathrm{heatPort}}$ $K$ Temperature of HeatPort T_heatPort

Connections

 Name Description Modelica ID $p$ Positive pin p $n$ Negative pin n $\mathrm{control}$ Electrical control control $\mathrm{Heat Port}$ heatPort

Parameters

 Name Default Units Description Modelica ID $\mathrm{level}$ $0.5$ $V$ Switch level level ${R}_{\mathrm{on}}$ $1·{10}^{-5}$ $\mathrm{\Omega }$ Closed switch resistance Ron ${G}_{\mathrm{off}}$ $1·{10}^{-5}$ $S$ Opened switch conductance Goff ${V}_{0}$ $30$ $V$ Initial arc voltage V0 $\stackrel{.}{V}$ $10000$ $\frac{V}{s}$ Arc voltage slope dVdt ${V}_{\mathrm{max}}$ $60$ $V$ Max. arc voltage Vmax Use Heat Port $\mathrm{false}$ True (checked) means heat port is enabled useHeatPort

 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.