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GENERATOR SELECTION CONTENTS - Diesel Generator

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LOAD SUMMATION<br />

SECTION 4595<br />

January 1990<br />

Page 4<br />

We can not analyse these results and derive a final rating for a suitable a.c. generator. We shall make some further<br />

assumptions, and whenever such a calculation as this is attempted, it is essential that all assumptions made, are<br />

clearly detailed and passed on to the final customer. In this case assume:-<br />

(i) no two loads will be switched on simultaneously<br />

(ii) generally, the loads come on in the sequence given.<br />

(iii) for sizing purposes the effort of power factor (vector addition) during transient or motor starting loads is ignored<br />

since arithmetic addition of the loads will always give a larger kVA load figure than the vector addition.<br />

Summation of Single Phase Loads<br />

Load Steady State Transient<br />

kVA kW p.f Start kVA<br />

1 2 3 4=3/2 5 6<br />

(a) 2.5 2.4 0.95 -<br />

(b) 14.4 14.4 1.0 -<br />

(c) 12.0 9.6 0.8 71.0<br />

(d) 9.1 3.6 0.4 -<br />

Total 38.0 30.0 0.79<br />

This total single phase loading represents the worst possible case, as we have assumed that one particular phase<br />

always carried the highest unbalanced load current for each single phase load considered. In practice it is likely that<br />

the individual loads would be more evenly distributed between the three phases. However, for the purposes of sizing<br />

and in the absence of actual load connection data, this is a valid assumption. The steady state total single phase<br />

ratings can now be multiplied by 3 to obtain the equivalent 3 phase rating.<br />

Regarding the start kVA load of (c), this again is the worst case single phase surge kVA. The make up of load (c) is<br />

such that on start there is unbalanced surge kVA. Therefore the total 3 phase surge kVA on starting load (c) will be<br />

less than 3 times the worst case 71kVA. This product (213kVA) is in turn less than the highest 3 phase balanced start<br />

kVA which, from the table below, is 271kVA. Hence this single phase start kVA may in this case be ignored when<br />

considering the 3 phase summation table below.<br />

Summation of Three Phase Loads<br />

Load Steady State Transient<br />

kVA kW p.f. Start Total Load at Start<br />

kVA kVA<br />

1 2 3 4=3/2 5 6<br />

equiv. 3 phase<br />

for (a), (b), (c),(d) 114 90.0 0.79<br />

(e) 10.8 8.6 0.8 15.9 114 + 15.9 = 129.4<br />

(f) 109.3 65.6 0.6 271 114 + 10.8 + 271 = 395.8<br />

(g) 96.6 87.9 0.91 180 114+10.8+109.3+180=414.1<br />

TOTAL 330.7 252.1 0.76 ‘worst case’ is<br />

114+10.8+96.6+271 = 492.4

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