The mechanical effects of short-circuit currents in - Montefiore
The mechanical effects of short-circuit currents in - Montefiore
The mechanical effects of short-circuit currents in - Montefiore
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power converter <strong>in</strong> a three phase bridge connection,<br />
which is supplied from the ma<strong>in</strong>s through a 380 V/28 V<br />
transformer. Smooth<strong>in</strong>g is accomplished by <strong>in</strong>ductor<br />
and capacitor. Energy is stored by a storage battery. <strong>The</strong><br />
with motor-generator converter connected is loaded an<br />
ohmic resistance.<br />
Short<strong>in</strong>g is <strong>in</strong>duced by a thyristor <strong>in</strong> order to avoid<br />
bounc<strong>in</strong>g <strong>of</strong> the power breaker contacts when the <strong>circuit</strong><br />
is closed. <strong>The</strong> <strong>short</strong>-<strong>circuit</strong> is switched <strong>of</strong>f by the power<br />
breaker.<br />
<strong>The</strong> <strong>short</strong>-<strong>circuit</strong> current characteristics are recorded by<br />
a transient recorder, where rapid current variations <strong>of</strong> up<br />
to 60 kA/ms are measured. <strong>The</strong> data ga<strong>in</strong>ed are<br />
converted and processed on a computer.<br />
Figure 6.3 shows <strong>short</strong>-<strong>circuit</strong> current characteristics <strong>of</strong><br />
the power converter. Curve “a” does not <strong>in</strong>clude a<br />
smooth<strong>in</strong>g <strong>in</strong>ductor. <strong>The</strong> LG/LN ratio <strong>of</strong> the d.c. and<br />
three-phase <strong>in</strong>ductances is relatively low; the RN/XN<br />
ratio <strong>of</strong> active resistance to three-phase reactance is<br />
high. After about 10 ms there appears the steady-state<br />
<strong>short</strong>-<strong>circuit</strong> current. Curve “b” shows lower LG/LN and<br />
RN/XN ratios; this has been accomplished by <strong>in</strong>troduc<strong>in</strong>g<br />
a smooth<strong>in</strong>g reactor <strong>in</strong>to the three-phase side: In this<br />
case, there appears a marked peak <strong>of</strong> the <strong>short</strong>-<strong>circuit</strong><br />
current, which is considerably higher than the steadystate<br />
<strong>short</strong>-<strong>circuit</strong> current. With RN → 0 and LN → 0, it<br />
may theoretically reach twice the value <strong>of</strong> the steadystate<br />
<strong>short</strong>-<strong>circuit</strong> current. In the case <strong>of</strong> curve “c”, a<br />
relatively high smooth<strong>in</strong>g <strong>in</strong>ductor was <strong>in</strong>troduced <strong>in</strong>to<br />
the d.c. side; there is no marked peak <strong>of</strong> the <strong>short</strong>-<strong>circuit</strong><br />
Figure 6.2 Circuit diagram <strong>of</strong> the modell<strong>in</strong>g system.<br />
98<br />
current. <strong>The</strong> steady-state <strong>short</strong>-<strong>circuit</strong> current appears<br />
much later than <strong>in</strong> curves “a” and “b”. In curve “d”, a<br />
rapidly act<strong>in</strong>g control limits the <strong>short</strong>-<strong>circuit</strong> current to<br />
100 A. In practice, this control <strong>of</strong>ten works relatively<br />
slow, so that peak as well as steady-state <strong>short</strong>-<strong>circuit</strong><br />
<strong>currents</strong> may flow.<br />
Figure 6.4 shows <strong>short</strong>-<strong>circuit</strong> characteristics <strong>of</strong> fully<br />
charged, stationary batteries. <strong>The</strong> <strong>short</strong>-<strong>circuit</strong> current<br />
rises rapidly to peak value and thereafter drops at first at<br />
a low, later at a high time constant. <strong>The</strong> f<strong>in</strong>al value <strong>of</strong><br />
the <strong>short</strong>-<strong>circuit</strong> current therefore depends upon the<br />
duration <strong>of</strong> the <strong>short</strong> <strong>circuit</strong>. In the case <strong>of</strong> a battery<br />
which has been discharged to m<strong>in</strong>imum admissible cell<br />
voltage, there still flows a considerably high <strong>short</strong><strong>circuit</strong><br />
current <strong>of</strong> a similar shape hav<strong>in</strong>g a magnitude up<br />
to 30 to 40 per cent <strong>of</strong> that <strong>of</strong> the current <strong>of</strong> the fully<br />
charged battery.<br />
Figure 6.5 shows the <strong>short</strong>-<strong>circuit</strong> current <strong>of</strong> smooth<strong>in</strong>g<br />
capacitors <strong>of</strong> different capacities. Short-<strong>circuit</strong> duration<br />
is very <strong>short</strong>. With high capacities, peak <strong>short</strong>-<strong>circuit</strong><br />
<strong>currents</strong> may reach high values.<br />
<strong>The</strong> <strong>short</strong>-<strong>circuit</strong> current <strong>of</strong> d.c. motors is shown <strong>in</strong><br />
Figure 6.6. With large motors, the peak <strong>short</strong>-<strong>circuit</strong><br />
current may reach 10 times the rated current, and will<br />
appear with<strong>in</strong> 10 to 50 ms. Reduction <strong>in</strong> magnitude and<br />
the decay <strong>of</strong> the current depend upon the overall<br />
moment <strong>of</strong> <strong>in</strong>ertia as well. Ow<strong>in</strong>g to the excitation<br />
voltage be<strong>in</strong>g constant after the occurrence <strong>of</strong> the <strong>short</strong><br />
<strong>circuit</strong>, separately excited motors show higher <strong>short</strong><strong>circuit</strong><br />
<strong>currents</strong>.<br />
1 transformer 4 smooth<strong>in</strong>g capacitor 7 ohmic load 10 d.c. motor<br />
2 three-phase bridge 5 d.c. transformer 8 power breaker 11 d.c. generator<br />
3 smooth<strong>in</strong>g <strong>in</strong>ductivity 6 lead-acid accumulator 9 <strong>short</strong>-<strong>circuit</strong> SCR 12 load resistor