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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5. PROBABILISTIC APPROACH TO<br />
SHORT-CIRCUIT EFFECTS<br />
5.1. THE VARIOUS POSSIBLE<br />
APPROACHES<br />
<strong>The</strong> <strong>in</strong>spiration for this section is drawn from analyses<br />
by the former ONTARIO HYDRO and<br />
ELECTRICITE DE FRANCE-R&D.<br />
1/ DETERMINISTIC METHOD<br />
St=f(S1, S2, ..., Sn)<br />
...<br />
S1 S2 Sn<br />
Overall<br />
Stress<br />
St<br />
2/ SECOND MOMENT METHOD<br />
St=f(X1, X2, ..., Xn)<br />
...<br />
X1 X2 Xn<br />
73<br />
TECHNIQUES FOR DETERMINING THE<br />
MECHANICAL WITHSTAND OF STRUCTURES<br />
OR COMPONENTS<br />
Probabilistic siz<strong>in</strong>g techniques have been developed<br />
dur<strong>in</strong>g the last decades for the analysis <strong>of</strong> energy<br />
transmission structures. A number <strong>of</strong> probabilistic<br />
methods are available. <strong>The</strong> most important are shown<br />
<strong>in</strong> Figure 5.1, as well as the determ<strong>in</strong>istic design.<br />
Overall<br />
Resistance<br />
Rt<br />
Rt=g(R1, R2, ..., Rn)<br />
...<br />
R1 R2 Rn<br />
Safety Factors<br />
Si=STRESS PARAMETERS Rj=RESISTANCE PARAMETERS<br />
K= Rt<br />
St<br />
Overall<br />
Stress<br />
St<br />
Overall<br />
Resistance<br />
Rt<br />
Rt=g(Y1, Y2, ..., Yn)<br />
...<br />
Y1 Y2 Yn<br />
Safety Factors<br />
Xi=µi+kσi Yi=µi-kσi<br />
K= Rt<br />
St<br />
3/ PROBABILITY METHOD<br />
...<br />
S1 S2 Sn<br />
4/ OPTMIZATION<br />
INITIAL CAPITAL COST<br />
Failure Zone<br />
STRESS RESISTANCE<br />
PROBABILITY OF FAILURE<br />
Figure 5.1<br />
...<br />
R1 R2 Rn<br />
TOTAL COST<br />
COST OF FAILURES<br />
MINIMUM COST DESIGN