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First Release of PGLib-OPF (#1)
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* adding initial benchmarks using PowerModels v0.4 and PowerModelsAnnex v0.0.5
* added repo metadata files
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ccoffrin authored Aug 31, 2017
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146 changes: 146 additions & 0 deletions BASELINE.md
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# Baseline Results
This section presents the results of running
[PowerModels.jl](https://github.com/lanl-ansi/PowerModels.jl)
on the OPF test cases from the
[PGLib Archive](https://github.com/power-grid-lib/pglib-opf).
providing baseline results for these test cases. All models were solved using
[IPOPT](https://link.springer.com/article/10.1007/s10107-004-0559-y).

Note that the displayed solve times are only approximate
and in this experiment include Julia's JIT time.
Excluding the JIT time will reduce the runtime by 2-5 seconds.
Using a better linear solver (e.g. [HSL](http://www.hsl.rl.ac.uk/ipopt/)) will further reduce the runtime by 4-10x.

## Software Versions
**[PowerModels.jl](https://github.com/lanl-ansi/PowerModels.jl):** v0.3.4-27-g115de85, 115de853fd4103b712d051e902540e7fa2b627be

**[Ipopt.jl](https://github.com/JuliaOpt/Ipopt.jl):** v0.2.6, 959b9c67e396a6e2307fc022d26b0d95692ee6a4

**[PGLib OPF](https://github.com/power-grid-lib/pglib-opf):** none, 1d0aaefb7f9141fd22907d8a67e5109f43daf5ee

**Hardware:** Dual Intel 2.10GHz CPUs, 128GB RAM


## Typical Operating Conditions (TYP)
| **Case Name** | **Nodes** | **Edges** | **DC (\$/h)** | **AC (\$/h)** | **QC Gap (%)** | **SOC Gap (%)** | **DC Time (sec.)** | **AC Time (sec.)** | **QC Time (sec.)** | **SOC Time (sec.)** |
| ------------- | --------- | --------- | ------------- | ------------- | -------------- | --------------- | ------------------ | ------------------ | ------------------ | ------------------- |
| pglib_opf_case3_lmbd | 3 | 3 | 5.6959e+03 | 5.8126e+03 | 1.22 | 1.32 | 2 | 5 | 2 | 2 |
| pglib_opf_case5_pjm | 5 | 6 | 1.7480e+04 | 1.7552e+04 | 14.55 | 14.55 | 2 | 5 | 2 | 2 |
| pglib_opf_case14_ieee | 14 | 20 | 5.9257e+03 | 6.2913e+03 | 0.11 | 0.11 | 2 | 5 | 2 | 2 |
| pglib_opf_case24_ieee_rts | 24 | 38 | 6.1001e+04 | 6.3352e+04 | 0.02 | 0.02 | 2 | 5 | 2 | 2 |
| pglib_opf_case30_as | 30 | 41 | 7.6760e+02 | 8.0313e+02 | 0.06 | 0.06 | 2 | 5 | 2 | 2 |
| pglib_opf_case30_fsr | 30 | 41 | 5.6521e+02 | 5.7577e+02 | 0.39 | 0.39 | 2 | 5 | 2 | 2 |
| pglib_opf_case30_ieee | 30 | 41 | 1.1081e+04 | 1.1974e+04 | 10.78 | 10.81 | 2 | 5 | 2 | 2 |
| pglib_opf_case39_epri | 39 | 46 | 1.4145e+05 | 1.4298e+05 | 0.49 | 0.49 | 2 | 5 | 2 | 2 |
| pglib_opf_case57_ieee | 57 | 80 | 3.5441e+04 | 3.9323e+04 | 0.46 | 0.46 | 2 | 5 | 2 | 2 |
| pglib_opf_case73_ieee_rts | 73 | 120 | 1.8300e+05 | 1.8976e+05 | 0.04 | 0.04 | 2 | 5 | 2 | 2 |
| pglib_opf_case89_pegase | 89 | 210 | 1.1224e+05 | 1.1633e+05 | 0.74 | 0.75 | 2 | 5 | 3 | 3 |
| pglib_opf_case118_ieee | 118 | 186 | 1.0962e+05 | 1.1580e+05 | 2.20 | 2.27 | 2 | 5 | 3 | 2 |
| pglib_opf_case162_ieee_dtc | 162 | 284 | 1.1666e+05 | 1.2615e+05 | 7.54 | 7.67 | 2 | 5 | 3 | 3 |
| pglib_opf_case200_pserc | 200 | 245 | 3.6304e+04 | 3.6748e+04 | 0.02 | 0.02 | 2 | 5 | 3 | 2 |
| pglib_opf_case240_pserc | 240 | 448 | 3.5056e+06 | 3.5700e+06 | 3.81 | 3.92 | 2 | 9 | 12 | 5 |
| pglib_opf_case300_ieee | 300 | 411 | 5.9324e+05 | 6.6422e+05 | 2.56 | 2.60 | 2 | 6 | 5 | 3 |
| pglib_opf_case1354_pegase | 1354 | 1991 | 1.3140e+06 | 1.3640e+06 | 2.40 | 2.41 | 3 | 12 | 21 | 10 |
| pglib_opf_case1888_rte | 1888 | 2531 | 1.5111e+06 | 1.5654e+06 | 1.82 | 1.82 | 3 | 25 | 29 | 18 |
| pglib_opf_case1951_rte | 1951 | 2596 | 2.3128e+06 | 2.3753e+06 | 0.12 | 0.13 | 3 | 29 | 32 | 18 |
| pglib_opf_case2383wp_k | 2383 | 2896 | 1.8041e+06 | 1.8685e+06 | 0.99 | 1.05 | 4 | 17 | 32 | 18 |
| pglib_opf_case2736sp_k | 2736 | 3504 | 1.2760e+06 | 1.3079e+06 | 0.29 | 0.30 | 3 | 16 | 35 | 14 |
| pglib_opf_case2737sop_k | 2737 | 3506 | 7.6401e+05 | 7.7763e+05 | 0.25 | 0.26 | 3 | 13 | 29 | 12 |
| pglib_opf_case2746wop_k | 2746 | 3514 | 1.1782e+06 | 1.2083e+06 | 0.36 | 0.37 | 2 | 14 | 32 | 13 |
| pglib_opf_case2746wp_k | 2746 | 3514 | 1.5814e+06 | 1.6318e+06 | 0.32 | 0.33 | 3 | 15 | 31 | 15 |
| pglib_opf_case2848_rte | 2848 | 3776 | 1.3636e+06 | 1.3847e+06 | 0.12 | 0.12 | 3 | 32 | 50 | 23 |
| pglib_opf_case2868_rte | 2868 | 3808 | 2.2053e+06 | 2.2599e+06 | 0.11 | 0.11 | 3 | 33 | 52 | 27 |
| pglib_opf_case2869_pegase | 2869 | 4582 | 2.5166e+06 | 2.6050e+06 | 1.07 | 1.08 | 3 | 25 | 65 | 23 |
| pglib_opf_case3012wp_k | 3012 | 3572 | 2.5090e+06 | 2.6008e+06 | 0.98 | 1.03 | 4 | 20 | 46 | 25 |
| pglib_opf_case3120sp_k | 3120 | 3693 | 2.0880e+06 | 2.1457e+06 | 0.54 | 0.55 | 4 | 19 | 46 | 18 |
| pglib_opf_case3375wp_k | 3375 | 4161 | 7.3170e+06 | 7.4357e+06 | 0.50 | 0.52 | 4 | 25 | 153 | 307 |
| pglib_opf_case6468_rte | 6468 | 9000 | 2.1619e+06 | 2.2623e+06 | 1.07 | 1.08 | 5 | 116 | 316 | 82 |
| pglib_opf_case6470_rte | 6470 | 9005 | 2.4454e+06 | 2.5558e+06 | 1.95 | 1.96 | 6 | 69 | 181 | 172 |
| pglib_opf_case6495_rte | 6495 | 9019 | 2.8481e+06 | 3.4777e+06 | 16.73 | 16.76 | 7 | 122 | 220 | 76 |
| pglib_opf_case6515_rte | 6515 | 9037 | 2.8484e+06 | 3.1971e+06 | 7.86 | 7.87 | 7 | 106 | 173 | 73 |
| pglib_opf_case9241_pegase | 9241 | 16049 | 6.5179e+06 | 6.7747e+06 | 1.99 | 2.84 | 9 | 113 | 642 | 150 |
| pglib_opf_case13659_pegase | 13659 | 20467 | 1.0565e+07 | 1.0781e+07 | 0.95 | 1.35 | 11 | 199 | 735 | 192 |


## Congested Operating Conditions (API)
| **Case Name** | **Nodes** | **Edges** | **DC (\$/h)** | **AC (\$/h)** | **QC Gap (%)** | **SOC Gap (%)** | **DC Time (sec.)** | **AC Time (sec.)** | **QC Time (sec.)** | **SOC Time (sec.)** |
| ------------- | --------- | --------- | ------------- | ------------- | -------------- | --------------- | ------------------ | ------------------ | ------------------ | ------------------- |
| pglib_opf_case3_lmbd__api | 3 | 3 | 1.0444e+04 | 1.1242e+04 | 5.63 | 9.32 | 2 | 5 | 2 | 2 |
| pglib_opf_case5_pjm__api | 5 | 6 | 7.5433e+04 | 7.6377e+04 | 4.09 | 4.09 | 2 | 5 | 2 | 2 |
| pglib_opf_case14_ieee__api | 14 | 20 | 1.1586e+04 | 1.3311e+04 | 1.77 | 1.77 | 2 | 5 | 2 | 2 |
| pglib_opf_case24_ieee_rts__api | 24 | 38 | 1.2336e+05 | 1.3495e+05 | 13.01 | 17.87 | 2 | 5 | 2 | 2 |
| pglib_opf_case30_as__api | 30 | 41 | 3.0921e+03 | 4.9962e+03 | 44.61 | 44.61 | 2 | 5 | 2 | 2 |
| pglib_opf_case30_fsr__api | 30 | 41 | 6.7254e+02 | 7.0115e+02 | 2.76 | 2.76 | 2 | 5 | 2 | 2 |
| pglib_opf_case30_ieee__api | 30 | 41 | 2.1698e+04 | 2.4032e+04 | 3.73 | 3.73 | 2 | 5 | 2 | 2 |
| pglib_opf_case39_epri__api | 39 | 46 | 2.5216e+05 | 2.5721e+05 | 1.57 | 1.60 | 2 | 5 | 2 | 2 |
| pglib_opf_case57_ieee__api | 57 | 80 | 5.7032e+04 | 5.9274e+04 | 0.08 | 0.08 | 2 | 5 | 2 | 2 |
| pglib_opf_case73_ieee_rts__api | 73 | 120 | 3.6238e+05 | 4.2273e+05 | 11.07 | 12.89 | 2 | 5 | 3 | 2 |
| pglib_opf_case89_pegase__api | 89 | 210 | 1.2974e+05 | 1.4198e+05 | 8.13 | 8.14 | 2 | 6 | 4 | 2 |
| pglib_opf_case118_ieee__api | 118 | 186 | 2.9247e+05 | 3.1642e+05 | 28.63 | 28.70 | 2 | 5 | 3 | 2 |
| pglib_opf_case162_ieee_dtc__api | 162 | 284 | 1.3016e+05 | 1.4351e+05 | 5.44 | 5.49 | 2 | 5 | 3 | 2 |
| pglib_opf_case200_pserc__api | 200 | 245 | 3.9923e+04 | 4.0458e+04 | 0.02 | 0.02 | 2 | 5 | 3 | 2 |
| pglib_opf_case240_pserc__api | 240 | 448 | 5.3109e+06 | 5.3917e+06 | 0.80 | 0.83 | 2 | 10 | 18 | 6 |
| pglib_opf_case300_ieee__api | 300 | 411 | 7.3994e+05 | 7.7549e+05 | 0.88 | 0.95 | 2 | 5 | 5 | 3 |
| pglib_opf_case1354_pegase__api | 1354 | 1991 | 1.7485e+06 | 1.8041e+06 | 0.70 | 0.71 | 3 | 13 | 21 | 11 |
| pglib_opf_case1888_rte__api | 1888 | 2531 | 2.1930e+06 | 2.2566e+06 | 0.47 | 0.47 | 3 | 19 | 44 | 18 |
| pglib_opf_case1951_rte__api | 1951 | 2596 | 2.7027e+06 | 2.8005e+06 | 0.60 | 0.62 | 3 | 20 | 37 | 18 |
| pglib_opf_case2383wp_k__api | 2383 | 2896 | 2.7913e+05 | 2.7913e+05 | 0.01 | 0.01 | 2 | 9 | 11 | 5 |
| pglib_opf_case2736sp_k__api | 2736 | 3504 | 5.9774e+05 | 6.3847e+05 | 12.82 | 12.83 | 3 | 16 | 34 | 11 |
| pglib_opf_case2737sop_k__api | 2737 | 3506 | 3.7570e+05 | 4.0282e+05 | 10.00 | 10.01 | 3 | 16 | 30 | 10 |
| pglib_opf_case2746wop_k__api | 2746 | 3514 | 5.1166e+05 | 5.1166e+05 | 0.01 | 0.01 | 3 | 9 | 13 | 6 |
| pglib_opf_case2746wp_k__api | 2746 | 3514 | 5.8183e+05 | 5.8183e+05 | 0.01 | 0.00 | 3 | 11 | 18 | 8 |
| pglib_opf_case2848_rte__api | 2848 | 3776 | 1.6822e+06 | 1.7169e+06 | 0.18 | 0.18 | 3 | 51 | 52 | 25 |
| pglib_opf_case2868_rte__api | 2868 | 3808 | 2.6357e+06 | 2.7159e+06 | 0.19 | 0.20 | 3 | 43 | 56 | 22 |
| pglib_opf_case2869_pegase__api | 2869 | 4582 | 3.2154e+06 | 3.3185e+06 | 0.82 | 0.84 | 4 | 25 | 68 | 26 |
| pglib_opf_case3012wp_k__api | 3012 | 3572 | 7.2887e+05 | 7.2887e+05 | 0.00 | 0.00 | 3 | 11 | 20 | 8 |
| pglib_opf_case3120sp_k__api | 3120 | 3693 | 8.5997e+05 | 9.2026e+05 | 24.92 | 24.95 | 5 | 25 | 46 | 13 |
| pglib_opf_case3375wp_k__api | 3375 | 4161 | 5.7641e+06 | 5.8861e+06 | 9.46 | 9.55 | 6 | 24 | 68 | 43 |
| pglib_opf_case6468_rte__api | 6468 | 9000 | 2.6081e+06 | 2.7102e+06 | 0.41 | 0.43 | 5 | 121 | 185 | 88 |
| pglib_opf_case6470_rte__api | 6470 | 9005 | 3.0333e+06 | 3.1603e+06 | 0.83 | 0.84 | 5 | 84 | 154 | 73 |
| pglib_opf_case6495_rte__api | 6495 | 9019 | 3.4186e+06 | 3.6263e+06 | 3.25 | 3.28 | 6 | 113 | 169 | 75 |
| pglib_opf_case6515_rte__api | 6515 | 9037 | 3.3777e+06 | 3.5904e+06 | 2.54 | 2.56 | 6 | 95 | 203 | 69 |
| pglib_opf_case9241_pegase__api | 9241 | 16049 | 7.9822e+06 | 8.2656e+06 | 1.70 | 2.59 | 9 | 156 | 601 | 161 |
| pglib_opf_case13659_pegase__api | 13659 | 20467 | 1.0895e+07 | 1.1209e+07 | 1.21 | 1.91 | 11 | 157 | 703 | 233 |


## Small Angle Difference Conditions (SAD)
| **Case Name** | **Nodes** | **Edges** | **DC (\$/h)** | **AC (\$/h)** | **QC Gap (%)** | **SOC Gap (%)** | **DC Time (sec.)** | **AC Time (sec.)** | **QC Time (sec.)** | **SOC Time (sec.)** |
| ------------- | --------- | --------- | ------------- | ------------- | -------------- | --------------- | ------------------ | ------------------ | ------------------ | ------------------- |
| pglib_opf_case3_lmbd__sad | 3 | 3 | 5.8560e+03 | 5.9593e+03 | 1.42 | 3.75 | 2 | 5 | 2 | 2 |
| pglib_opf_case5_pjm__sad | 5 | 6 | inf. | 2.6115e+04 | 0.99 | 3.62 | 2 | 5 | 2 | 2 |
| pglib_opf_case14_ieee__sad | 14 | 20 | inf. | 6.7834e+03 | 7.16 | 7.21 | 2 | 5 | 2 | 2 |
| pglib_opf_case24_ieee_rts__sad | 24 | 38 | 7.8163e+04 | 7.6943e+04 | 2.93 | 9.56 | 2 | 5 | 2 | 2 |
| pglib_opf_case30_as__sad | 30 | 41 | inf. | 8.9749e+02 | 2.32 | 7.88 | 2 | 5 | 2 | 2 |
| pglib_opf_case30_fsr__sad | 30 | 41 | inf. | 5.7679e+02 | 0.41 | 0.47 | 2 | 5 | 2 | 2 |
| pglib_opf_case30_ieee__sad | 30 | 41 | inf. | 1.1974e+04 | 3.42 | 5.65 | 2 | 5 | 2 | 2 |
| pglib_opf_case39_epri__sad | 39 | 46 | 1.5470e+05 | 1.5246e+05 | 0.20 | 0.60 | 2 | 5 | 2 | 2 |
| pglib_opf_case57_ieee__sad | 57 | 80 | inf. | 4.5208e+04 | 0.83 | 1.79 | 2 | 5 | 2 | 2 |
| pglib_opf_case73_ieee_rts__sad | 73 | 120 | 2.3291e+05 | 2.2775e+05 | 2.54 | 6.75 | 2 | 5 | 3 | 2 |
| pglib_opf_case89_pegase__sad | 89 | 210 | inf. | 1.1657e+05 | 0.82 | 0.86 | 2 | 5 | 3 | 2 |
| pglib_opf_case118_ieee__sad | 118 | 186 | inf. | 1.2924e+05 | 9.48 | 11.53 | 2 | 5 | 3 | 2 |
| pglib_opf_case162_ieee_dtc__sad | 162 | 284 | 1.2549e+05 | 1.2704e+05 | 8.02 | 8.32 | 2 | 5 | 4 | 2 |
| pglib_opf_case200_pserc__sad | 200 | 245 | inf. | 4.0991e+04 | 0.17 | 0.18 | 2 | 5 | 4 | 2 |
| pglib_opf_case240_pserc__sad | 240 | 448 | inf. | 3.6565e+06 | 5.24 | 6.19 | 3 | 9 | 12 | 5 |
| pglib_opf_case300_ieee__sad | 300 | 411 | 6.0726e+05 | 6.6431e+05 | 2.36 | 2.52 | 2 | 6 | 5 | 3 |
| pglib_opf_case1354_pegase__sad | 1354 | 1991 | inf. | 1.3646e+06 | 2.37 | 2.45 | 4 | 13 | 21 | 10 |
| pglib_opf_case1888_rte__sad | 1888 | 2531 | 1.5123e+06 | 1.5806e+06 | 2.73 | 2.74 | 3 | 26 | 30 | 16 |
| pglib_opf_case1951_rte__sad | 1951 | 2596 | inf. | 2.3820e+06 | 0.37 | 0.40 | 5 | 36 | 32 | 17 |
| pglib_opf_case2383wp_k__sad | 2383 | 2896 | inf. | 1.9165e+06 | 2.16 | 3.13 | 8 | 19 | 31 | 18 |
| pglib_opf_case2736sp_k__sad | 2736 | 3504 | inf. | 1.3294e+06 | 1.53 | 1.80 | 6 | 18 | 33 | 16 |
| pglib_opf_case2737sop_k__sad | 2737 | 3506 | inf. | 7.9267e+05 | 1.92 | 2.10 | 5 | 16 | 31 | 12 |
| pglib_opf_case2746wop_k__sad | 2746 | 3514 | inf. | 1.2344e+06 | 2.00 | 2.37 | 6 | 17 | 27 | 13 |
| pglib_opf_case2746wp_k__sad | 2746 | 3514 | inf. | 1.6674e+06 | 1.68 | 2.21 | 6 | 16 | 31 | 17 |
| pglib_opf_case2848_rte__sad | 2848 | 3776 | inf. | 1.3879e+06 | 0.27 | 0.29 | 6 | 33 | 49 | 18 |
| pglib_opf_case2868_rte__sad | 2868 | 3808 | inf. | 2.2707e+06 | 0.50 | 0.53 | 6 | 31 | 53 | 21 |
| pglib_opf_case2869_pegase__sad | 2869 | 4582 | inf. | 2.6198e+06 | 1.39 | 1.49 | 12 | 25 | 75 | 25 |
| pglib_opf_case3012wp_k__sad | 3012 | 3572 | inf. | 2.6213e+06 | 1.41 | 1.62 | 9 | 22 | 48 | 19 |
| pglib_opf_case3120sp_k__sad | 3120 | 3693 | inf. | 2.1755e+06 | 1.42 | 1.61 | 10 | 24 | 51 | 20 |
| pglib_opf_case3375wp_k__sad | 3375 | 4161 | 7.3197e+06 | 7.4357e+06 | 0.47 | 0.52 | 5 | 24 | 81 | 83 |
| pglib_opf_case6468_rte__sad | 6468 | 9000 | 2.1619e+06 | 2.2623e+06 | 1.05 | 1.07 | 5 | 176 | 191 | 86 |
| pglib_opf_case6470_rte__sad | 6470 | 9005 | 2.4483e+06 | 2.5597e+06 | 2.03 | 2.09 | 6 | 70 | 179 | 69 |
| pglib_opf_case6495_rte__sad | 6495 | 9019 | 2.8482e+06 | 3.4777e+06 | 16.63 | 16.76 | 6 | 130 | 203 | 75 |
| pglib_opf_case6515_rte__sad | 6515 | 9037 | 2.8486e+06 | 3.2679e+06 | 9.83 | 9.87 | 6 | 113 | 191 | 71 |
| pglib_opf_case9241_pegase__sad | 9241 | 16049 | inf. | 6.9170e+06 | 3.49 | 3.56 | 24 | 135 | 668 | 153 |
| pglib_opf_case13659_pegase__sad | 13659 | 20467 | inf. | 1.0901e+07 | 1.70 | 1.74 | 36 | 152 | 821 | 1598 |


6 changes: 6 additions & 0 deletions CHANGELOG.md
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PGLib OPF Benchmarks Change Log
===============================

### v17.08
- initial release, 108 cases

12 changes: 11 additions & 1 deletion LICENSE
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MIT License
Data License:

Creative Commons Attribution 4.0 International license
http://creativecommons.org/licenses/by/4.0/

See data files for specific copyright holders and attribution details.


Software License:

MIT License
Copyright (c) 2017 A Library of IEEE PES Power Grid Benchmarks

Permission is hereby granted, free of charge, to any person obtaining a copy
Expand All @@ -19,3 +28,4 @@ AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

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31 changes: 31 additions & 0 deletions MODEL.tex
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% render with latexit and then export as png, default settings
% 18.00 pt (std display)
% 9.00 pt (retina display)
% \usepackage{amssymb, amsmath, bm}
\begin{align}
%
\mbox{\bf data:} & \nonumber \\
& \bm {S^{gl}}_k, \bm {S^{gu}}_k \;\; \forall k \in G \nonumber \\
& \bm c_{2k}, \bm c_{1k}, \bm c_{0k} \;\; \forall k \in G \nonumber \\
& \bm {v^l}_i, \bm {v^u}_i \;\; \forall i \in N \nonumber \\
& \bm S^d_i, \bm Y^s_{i} \;\; \forall i \in N \nonumber \\
& \bm Y_{ij}, \bm {b^c}_{ij}, \bm{T}_{ij} \;\; \forall (i,j) \in E \nonumber \\
& \bm {s^u}_{ij}, \bm {\theta^{\Delta l}}_{ij}, \bm {\theta^{\Delta u}}_{ij} \;\; \forall (i,j) \in E \nonumber \\
%
\mbox{\bf variables: } & \nonumber \\
& S^g_k \;\; \forall k\in G \nonumber \\
& V_i \;\; \forall i\in N \nonumber \\
& S_{ij} \;\; \forall (i,j) \in E \cup E^R \nonumber \\
%
\mbox{\bf minimize: } & \sum_{k \in G} \bm c_{2k} (\Re(S^g_k))^2 + \bm c_{1k}\Re(S^g_k) + \bm c_{0k} \\
%
\mbox{\bf subject to: } & \nonumber \\
& \bm {S^{gl}}_k \leq S^g_k \leq \bm {S^{gu}}_k \;\; \forall k \in G \\
& \bm {v^l}_i \leq |V_i| \leq \bm {v^u}_i \;\; \forall i \in N \\
& \sum_{\substack{k \in G_i}} S^g_k - {\bm S^d_i} - \bm Y^s_{i} |V_i|^2 = \sum_{\substack{(i,j)\in E_i \cup E_i^R}} S_{ij} \;\; \forall i\in N \\
& S_{ij} = \left( \bm Y^*_{ij} - \bm i\frac{\bm {b^c}_{ij}}{2} \right) \frac{|V_i|^2}{|\bm{T}_{ij}|^2} - \bm Y^*_{ij} \frac{V_i V^*_j}{\bm{T}_{ij}} \;\; \forall (i,j)\in E \\
& S_{ji} = \left( \bm Y^*_{ij} - \bm i\frac{\bm {b^c}_{ij}}{2} \right) |V_j|^2 - \bm Y^*_{ij} \frac{V^*_i V_j}{\bm{T}^*_{ij}} \;\; \forall (i,j)\in E \\
& |S_{ij}| \leq \bm {s^u}_{ij} \;\; \forall (i,j) \in E \cup E^R \\
& \bm {\theta^{\Delta l}}_{ij} \leq \angle (V_i V^*_j) \leq \bm {\theta^{\Delta u}}_{ij} \;\; \forall (i,j) \in E
%
\end{align}
42 changes: 40 additions & 2 deletions README.md
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# pglib-opf
Benchmarks for the Optimal Power Flow Problem
# Power Grid Lib - Optimal Power Flow v17.08

This benchmark library is curated and maintained by the [IEEE PES Task Force on Benchmarks for Validation of Emerging Power System Algorithms](https://power-grid-lib.github.io/) and is designed to evaluate a well established version of the the AC Optimal Power Flow problem. Specifically, these cases are designed for benchmarking algorithms that solve the following Non-Convex Nonlinear Program,

 
![The Mathematical Model of the Optimal Power Flow Problem](MODEL.png?raw=true "Optional Title")
 

A detailed description of this mathematical model is available [here](https://arxiv.org/abs/1502.07847). All of the cases files are curated in the [Matpower](http://www.pserc.cornell.edu/matpower) data format. Open-source reference implementations are available in [Matpower](http://www.pserc.cornell.edu/matpower) and [PowerModels.jl](https://github.com/lanl-ansi/PowerModels.jl) and baseline results are reported in [BASELINE.md](BASELINE.md).

### Problem Variants

These cases may also be useful for benchmarking the following variants of the Optimal Power Flow problem,
* DC Optimal Power Flow
* AC Optimal Transmission Switching
* DC Optimal Transmission Switching

That said, these cases are curated with the AC Optimal Power Flow problem in mind. Application to other domains and problem variants should be done with discretion.

## Case File Overview

A forthcoming technical report will detail the sources, motivations, and procedures for curating these case files.

In this repository the network data files are organized into the following three broad groups:

* /*.m - base case benchmarks as originally specified
* /api/*.m - heavily loaded test cases (i.e. binding thermal limit constraints)
* /sad/*.m - small phase angle difference cases (i.e. binding phase angle difference constraints)

## Contributions

All case files are provided under a [Creative Commons Attribution License](http://creativecommons.org/licenses/by/4.0/), which allows anyone to share or adapt these cases as long as they give appropriate credit to the orginal author, provide a link to the license, and indicate if changes were made.

Community-based recommendations and contributions are welcome and encouraged in all PGLib repositories. Please feel free to submit comments and questions in the [issue tracker](https://github.com/power-grid-lib/pglib-opf/issues). Corrections and new network contributions are welcome via pull requests. All data contributions are subject to a quality assurance review by the repository curator(s).

## Citation Guidelines

This repository is not static. Consequently, it is critically important to indicate the version number when referencing this repository in scholarly work.

Users of this these cases are encouraged to cite the original source documents that are indicated in the file headers.
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