*Appendix A.1*

The IEEE 33 bus EDS as shown in Figure A1 has been selected for analysis. As mentioned in Section 5, it is inferred that the 33-bus distribution system is analyzed for obtaining the locations and sizes. The branch and load data have been taken from [76].

**Figure A1.** The IEEE 33 bus EDS.

*Appendix A.2*

**Table A1.** Load distribution for 33 bus [52].




From Table A2, average failure rate, and unavailability can be determined as given in Equations (A1) and (A2). The system reliability indices are thus evaluated for all six scenarios using the values of *λp* and *Up*.

> (A1) average failure rate, *<sup>λ</sup><sup>p</sup>* = (no. of loads <sup>×</sup> failure rates)+(no. of substations <sup>×</sup> failure rate) + (no. of feeders × failure rate)+(no. of DG × failure rate)

(A2) outage duration or unavailability, *Up* = (no. of loads <sup>×</sup> failure rates <sup>×</sup> *RT*)+(no. of substations <sup>×</sup> failure rate <sup>×</sup> *RT*) + (no. of feeders × failure rate × *RT*)+(no. of DG × failure rate × *RT*)

EENS <sup>=</sup> ∑[(Demand or load at *<sup>P</sup>* (A3) *th* load point) <sup>×</sup> (Annual outage duration at *<sup>P</sup>th* load point)]

$$\text{AENS} = \frac{\sum (\text{EENS at } P^{th} \text{ load point})}{\text{Total number of customers at all load points}} \tag{A4}$$

$$\text{SAIDI} = \frac{\sum \text{(annual voltage duration at } P^{\text{th}} \text{ load point)} \times \text{(Number of customers at } P^{\text{th}} \text{ load point)} \text{[} \times \text{height]}}{\text{Total number of customers at all load points}} \tag{A5}$$

$$\text{SAIFI} = \frac{\sum [\text{(average failure rate at } P^{\text{fit}} \text{ load point)} \times (\text{Number of customers at } P^{\text{fit}} \text{ load point})]}{\text{Total number of customers at all load points}} \tag{A6}$$

$$\text{ASAI} = 1 - \frac{SAIDI}{8760} \tag{A7}$$


**Table A3.** Cost per kilowatt for Reliability worth estimation [78].
