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Appendix B: An Example on Decision Analysis 118<br />

Table B.1- Discounted costs of expansion plans<br />

Beg<strong>in</strong>n<strong>in</strong>g of year 1 Beg<strong>in</strong>n<strong>in</strong>g of year 5 Beg<strong>in</strong>n<strong>in</strong>g of year 7<br />

Double-circuit l<strong>in</strong>e, first circuit 30 23.76 21.15<br />

Double-circuit l<strong>in</strong>e, second circuit 6 4.75 4.23<br />

S<strong>in</strong>gle-circuit l<strong>in</strong>e 20 15.84 14.10<br />

Medium voltage cable 14 11.09 9.87<br />

As figure B.1 shows, at the first stage of decision we can make on of the follow<strong>in</strong>g decisions:<br />

• double-circuit l<strong>in</strong>e with the first circuit,<br />

• s<strong>in</strong>gle-circuit l<strong>in</strong>e, or<br />

• medium voltage cable.<br />

Consider figure B.1 and suppose the network is re<strong>in</strong>forced by double-circuit l<strong>in</strong>e with the first<br />

circuit. If load A is added at the beg<strong>in</strong>n<strong>in</strong>g of year 5, we can make one of the follow<strong>in</strong>g<br />

DCL-FC<br />

MVC<br />

Decision Node<br />

Event Node<br />

SCL<br />

1<br />

2<br />

3<br />

A<br />

A<br />

A<br />

A<br />

A<br />

A<br />

DCL-SC<br />

MVC<br />

No Invest<br />

Fig. B.1 – Decision-event tree for expansion plann<strong>in</strong>g of the <strong>in</strong>dustrial network<br />

SCL<br />

MVC<br />

No Invest<br />

DCL-FC<br />

SCL<br />

No Invest<br />

4<br />

5<br />

1<br />

6<br />

7<br />

2<br />

5<br />

7<br />

3<br />

B<br />

B<br />

B<br />

B<br />

B<br />

B<br />

B<br />

B<br />

B<br />

B<br />

B<br />

B<br />

B<br />

B<br />

B<br />

B<br />

B<br />

B<br />

No Invest<br />

No Invest<br />

DCL-SC<br />

No Invest<br />

DCL-SC<br />

No Invest<br />

No Invest<br />

No Invest<br />

SCL<br />

No Invest<br />

MVC<br />

No Invest<br />

DCL-SC<br />

No Invest<br />

SCL<br />

No Invest<br />

No Invest<br />

First stage decision Event Second stage decision Event<br />

Third stage decision<br />

Time Period 1 Time Period 2 Time Period 3<br />

SCL<br />

4<br />

4<br />

8<br />

5<br />

4<br />

1<br />

6<br />

6<br />

9<br />

7<br />

7<br />

2<br />

8<br />

5<br />

9<br />

7<br />

7<br />

3

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