Table 4 Hardening strategies corresponding to different hardening budgets of Scheme 2
Hardening budget | Hardened lines/pipelines | Total supply shortage (kW) |
|---|---|---|
1 | \(P_{1 - 2}^{{\text{e}}}\) | 1553.18 |
2 | \(P_{1 - 2}^{{\text{e}}}\), \(P_{8 - 9}^{{\text{g}}}\) | 1478.42 |
3 | \(P_{1 - 2}^{{\text{e}}}\), \(P_{8 - 9}^{{\text{g}}}\), \(L_{14 - 15}^{{\text{h}}}\) | 1432.81 |
4 | \(P_{1 - 2}^{{\text{e}}}\), \(P_{6 - 7}^{{\text{e}}}\), \(P_{8 - 9}^{{\text{g}}}\), \(L_{14 - 15}^{{\text{h}}}\) | 1393.82 |
5 | \(L_{1 - 2}^{{\text{e}}}\), \(P_{6 - 7}^{{\text{e}}}\), \(P_{8 - 9}^{{\text{g}}}\), \(P_{10 - 11}^{{\text{g}}}\), \(L_{14 - 15}^{{\text{h}}}\) | 1331.83 |
6 | \(L_{1 - 2}^{{\text{e}}}\), \(P_{6 - 7}^{{\text{e}}}\), \(L_{27 - 28}^{{\text{e}}}\), \(P_{8 - 9}^{{\text{g}}}\), \(L_{11 - 13}^{{\text{h}}}\), \(L_{14 - 15}^{{\text{h}}}\) | 1293.62 |
7 | \(L_{1 - 2}^{{\text{e}}}\), \(P_{6 - 7}^{{\text{e}}}\), \(L_{27 - 28}^{{\text{e}}}\), \(P_{8 - 9}^{{\text{g}}}\), \(P_{10 - 11}^{{\text{g}}}\), \(L_{11 - 13}^{{\text{h}}}\), \(L_{14 - 15}^{{\text{h}}}\) | 1253.86 |
8 | \(L_{1 - 2}^{{\text{e}}}\), \(P_{6 - 7}^{{\text{e}}}\), \(L_{27 - 28}^{{\text{e}}}\), \(P_{8 - 9}^{{\text{g}}}\), \(P_{9 - 10}^{{\text{g}}}\), \(P_{10 - 11}^{{\text{g}}}\), \(L_{11 - 13}^{{\text{h}}}\), \(L_{14 - 15}^{{\text{h}}}\) | 1226.21 |
9 | \(L_{1 - 2}^{{\text{e}}}\), \(P_{6 - 7}^{{\text{e}}}\), \(L_{27 - 28}^{{\text{e}}}\), \(P_{8 - 9}^{{\text{g}}}\), \(P_{9 - 10}^{{\text{g}}}\), \(P_{10 - 11}^{{\text{g}}}\), \(L_{5 - 6}^{{\text{h}}}\), \(L_{11 - 13}^{{\text{h}}}\), \(L_{14 - 15}^{{\text{h}}}\) | 1185.00 |
10 | \(L_{1 - 2}^{{\text{e}}}\), \(P_{6 - 7}^{{\text{e}}}\), \(L_{6 - 26}^{{\text{e}}}\), \(L_{27 - 28}^{{\text{e}}}\), \(P_{8 - 9}^{{\text{g}}}\), \(P_{9 - 10}^{{\text{g}}}\), \(P_{10 - 11}^{{\text{g}}}\), \(L_{5 - 6}^{{\text{h}}}\), \(L_{11 - 13}^{{\text{h}}}\), \(L_{14 - 15}^{{\text{h}}}\) | 1128.03 |