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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

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