Grid Research for Good v4.0
GRG v4.0 is based on GRG v3.0, with more simplification on the JSON structure and the introduction of group blocks, DC lines, and time series constraints. External CSV files are now allowed for time series data, as well as improvements on the three winding transformers.
Technical Document
This document describes the Grid Research for Good (GRG) schema to represent static transmission networks. We aim to describe the model of the static network components, as well as the component hierarchical organization within a network. We also include the nominal unit to per-unit transformation (and vice versa) associated to each component. The schema to represent time series data, stochastic time series data, contingencies, group blocks, and time series constraints will also be discussed.
Schema
The JSON schema for the GRG v4.0 is released.
NESTA-GRG
The NESTA benchmarks in GRG format (v4.0) are also released. The release is stored in the Git repository below, together with benchmarks for prior GRG versions.
The WECC benchmark with time series data is also updated to GRGv4.0. The time series data is now stored in an external CSV file. Please refer to GRG Documentation PDF file for parsing information.
Repository link: https://gitlab.eecs.umich.edu/pvanhent/GRG-data-repository
Users can also directly download all the benchmarks via the following command:
git clone git@gitlab.eecs.umich.edu:pvanhent/GRG-data-repository.git [target directory]
Numerical Results
We show AC Optimal Power Flow (AC-OPF) results for our NESTA GDG benchmarks (middle & right column) and compare with the original objective value from the NESTA/LANL report (left column, accurate up to 5 significant figures). We test our benchmarks with two variants of AC-OPF model: one with thermal power limit constraints used by the original NESTA benchmark, and one with current limit constraints generated from the thermal limit parameters.
AC Optimal Power Flow | |||
Data File | Benchmark | GDG (Thermal) | GRG (Current) |
nesta_case118_ieee | 3,718.60 | 3,718.64 | 3,694.15 |
nesta_case1354_pegase | 74,069.00 | 74,069.35 | 74,060.41 |
nesta_case13659_pegase | 386,120.00 | 386,117.10 | 386,112.28 |
nesta_case1394sop_eir | 1,366.80 | 1,366.81 | 1,358.53 |
nesta_case1397sp_eir | 3,889.00 | 3,888.99 | 3,858.57 |
nesta_case1460wp_eir | 4,640.20 | 4,640.18 | 4,272.88 |
nesta_case14_ieee | 244.05 | 244.05 | 244.05 |
nesta_case162_ieee_dtc | 4,230.20 | 4,230.23 | 4,070.70 |
nesta_case1888_rte | 59,805.00 | 59,804.98 | 59,803.54 |
nesta_case189_edin | 849.29 | 849.29 | 844.03 |
nesta_case1951_rte | 81,738.00 | 81,737.68 | 81,736.16 |
nesta_case2224_edin | 38,128.00 | 38,127.69 | 37,007.95 |
nesta_case2383wp_mp | 1,868,500.00 | 1,868,511.77 | 1,858,584.74 |
nesta_case240_wecc | 75,136.00 | 75,136.10 | 72,599.06 |
nesta_case24_ieee_rts | 63,352.00 | 63,352.20 | 63,352.20 |
nesta_case2736sp_mp | 1,307,900.00 | 1,307,883.12 | 1,307,831.17 |
nesta_case2737sop_mp | 777,630.00 | 777,629.30 | 777,624.08 |
nesta_case2746wop_mp | 1,208,300.00 | 1,208,279.81 | 1,208,279.81 |
nesta_case2746wp_mp | 1,631,800.00 | 1,631,775.10 | 1,631,775.10 |
nesta_case2848_rte | 53,022.00 | 53,021.83 | 53,021.62 |
nesta_case2868_rte | 79,795.00 | 79,794.68 | 79,790.89 |
nesta_case2869_pegase | 134,000.00 | 133,999.29 | 133,987.86 |
nesta_case29_edin | 29,895.00 | 29,895.49 | 29,895.49 |
nesta_case300_ieee | 16,891.00 | 16,891.28 | 16,660.38 |
nesta_case3012wp_mp | 2,600,800.00 | 2,600,842.72 | 2,586,065.35 |
nesta_case30_as | 803.13 | 803.13 | 803.13 |
nesta_case30_fsr | 575.77 | 575.77 | 574.48 |
nesta_case30_ieee | 204.97 | 204.97 | 192.11 |
nesta_case3120sp_mp | 2,145,700.00 | 2,145,739.40 | 2,142,588.53 |
nesta_case3375wp_mp | 7,435,700.00 | 7,435,697.48 | 7,413,407.32 |
nesta_case39_epri | 96,506.00 | 96,505.52 | 96,505.52 |
nesta_case3_lmbd | 5,812.60 | 5,812.64 | 5,731.70 |
nesta_case4_gs | 156.43 | 156.43 | 156.43 |
nesta_case57_ieee | 1,143.30 | 1,143.27 | 1,143.27 |
nesta_case5_pjm | 17,552.00 | 17,551.89 | 14,997.04 |
nesta_case6468_rte | 86,829.00 | 86,829.02 | 86,776.07 |
nesta_case6470_rte | 98,348.00 | 98,347.83 | 98,308.69 |
nesta_case6495_rte | 106,320.00 | 106,320.10 | 106,043.52 |
nesta_case6515_rte | 109,870.00 | 109,865.40 | 109,642.33 |
nesta_case6_c | 23.21 | 23.21 | 23.21 |
nesta_case6_ww | 3,144.00 | 3,143.97 | 3,139.65 |
nesta_case73_ieee_rts | 189,760.00 | 189,764.08 | 189,764.08 |
nesta_case89_pegase | 5,819.80 | 5,819.81 | 5,817.60 |
nesta_case9241_pegase | 315,910.00 | 315,912.16 | 315,894.24 |
nesta_case9_wscc | 5,296.70 | 5,296.69 | 5,296.69 |
AC Optimal Power Flow | |||
Data File (API cases) | Benchmark | GDG (Thermal) | GRG (Current) |
nesta_case118_ieee__api | 10,270.00 | 10,269.82 | 6,492.73 |
nesta_case1354_pegase__api | 52,449.00 | 52,448.51 | 52,273.15 |
nesta_case13659_pegase__api | 302,840.00 | 302,835.64 | 301,161.94 |
nesta_case1394sop_eir__api | 3,377.60 | 3,377.65 | 3,328.31 |
nesta_case1397sp_eir__api | 6,665.80 | 6,665.77 | 6,580.64 |
nesta_case1460wp_eir__api | 6,444.90 | 6,444.91 | 6,226.01 |
nesta_case14_ieee__api | 325.13 | 325.13 | 321.16 |
nesta_case162_ieee_dtc__api | 6,106.90 | 6,106.86 | 5,876.54 |
nesta_case1888_rte__api | 58,546.00 | 58,545.61 | 57,738.38 |
nesta_case189_edin__api | 1,914.10 | 1,914.15 | 1,867.59 |
nesta_case1951_rte__api | 75,639.00 | 75,638.75 | 74,982.82 |
nesta_case2224_edin__api | 44,435.00 | 44,435.05 | 43,046.93 |
nesta_case2383wp_mp__api | 23,489.00 | 23,489.27 | 23,385.72 |
nesta_case240_wecc__api | 142,670.00 | 142,673.71 | 142,111.23 |
nesta_case24_ieee_rts__api | 6,426.70 | 6,426.65 | 6,181.44 |
nesta_case2736sp_mp__api | 25,884.00 | 25,883.72 | 25,667.74 |
nesta_case2737sop_mp__api | 21,675.00 | 21,675.00 | 21,615.15 |
nesta_case2746wop_mp__api | 22,803.00 | 22,803.23 | 22,757.96 |
nesta_case2746wp_mp__api | 25,964.00 | 25,963.78 | 25,882.39 |
nesta_case2848_rte__api | 44,032.00 | 44,032.36 | 43,114.97 |
nesta_case2868_rte__api | 75,506.00 | 75,505.75 | 74,869.27 |
nesta_case2869_pegase__api | 98,415.00 | 98,414.80 | 97,620.17 |
nesta_case29_edin__api | 295,290.00 | 295,291.22 | 294,170.93 |
nesta_case300_ieee__api | 19,868.00 | 19,867.93 | 19,765.34 |
nesta_case3012wp_mp__api | 28,334.00 | 28,334.12 | 28,131.82 |
nesta_case30_as__api | 570.08 | 570.08 | 556.72 |
nesta_case30_fsr__api | 366.56 | 366.56 | 211.00 |
nesta_case30_ieee__api | 414.99 | 414.99 | 411.16 |
nesta_case3120sp_mp__api | 23,715.00 | 23,715.33 | 23,281.05 |
nesta_case3375wp_mp__api | 48,939.00 | 48,939.01 | 48,667.74 |
nesta_case39_epri__api | 7,460.40 | 7,460.37 | 7,073.72 |
nesta_case3_lmbd__api | 367.44 | 367.44 | 362.44 |
nesta_case4_gs__api | 766.67 | 766.67 | 757.84 |
nesta_case57_ieee__api | 1,430.70 | 1,430.65 | 1,430.65 |
nesta_case5_pjm__api | 2,996.30 | 2,996.32 | 2,988.22 |
nesta_case6468_rte__api | 68,149.00 | 68,149.04 | 67,410.90 |
nesta_case6470_rte__api | 90,583.00 | 90,583.36 | 89,799.25 |
nesta_case6495_rte__api | 88,944.00 | 88,943.88 | 87,655.97 |
nesta_case6515_rte__api | 97,217.00 | 97,217.08 | 95,761.47 |
nesta_case6_c__api | 813.87 | 813.87 | 811.16 |
nesta_case73_ieee_rts__api | 19,995.00 | 19,995.00 | 18,634.13 |
nesta_case89_pegase__api | 4,255.40 | 4,255.44 | 3,424.93 |
nesta_case9241_pegase__api | 238,900.00 | 238,898.99 | 237,814.45 |
nesta_case9_wscc__api | 656.23 | 656.23 | 631.06 |
AC Optimal Power Flow | |||
Data File (SAD cases) | Benchmark | GDG (Thermal) | GRG (Current) |
nesta_case118_ieee__sad | 4,106.70 | 4,106.72 | 4,091.77 |
nesta_case1354_pegase__sad | 74,070.00 | 74,069.97 | 74,061.03 |
nesta_case13659_pegase__sad | 386,140.00 | 386,141.87 | 386,136.46 |
nesta_case1394sop_eir__sad | 1,449.30 | 1,449.32 | 1,449.32 |
nesta_case1397sp_eir__sad | 4,237.80 | 4,237.82 | 4,147.82 |
nesta_case1460wp_eir__sad | 5,337.00 | 5,336.98 | 5,334.61 |
nesta_case14_ieee__sad | 244.05 | 244.05 | 244.05 |
nesta_case162_ieee_dtc__sad | 4,253.50 | 4,253.51 | 4,156.91 |
nesta_case1888_rte__sad | 59,806.00 | 59,857.78 | 59,855.52 |
nesta_case189_edin__sad | 864.82 | 864.82 | 864.28 |
nesta_case1951_rte__sad | 81,786.00 | 81,786.12 | 81,781.41 |
nesta_case2224_edin__sad | 38,265.00 | 38,265.50 | 37,131.42 |
nesta_case2383wp_mp__sad | 1,916,500.00 | 1,916,461.33 | 1,912,661.06 |
nesta_case240_wecc__sad | 76,495.00 | 76,494.70 | 74,614.98 |
nesta_case24_ieee_rts__sad | 76,943.00 | 76,943.24 | 76,941.01 |
nesta_case2736sp_mp__sad | 1,329,400.00 | 1,329,426.24 | 1,329,408.38 |
nesta_case2737sop_mp__sad | 792,660.00 | 792,664.66 | 792,647.96 |
nesta_case2746wop_mp__sad | 1,234,400.00 | 1,234,397.25 | 1,234,397.25 |
nesta_case2746wp_mp__sad | 1,667,400.00 | 1,667,370.34 | 1,667,341.37 |
nesta_case2848_rte__sad | 53,031.00 | 53,031.15 | 53,030.70 |
nesta_case2868_rte__sad | 79,818.00 | 79,818.39 | 79,814.14 |
nesta_case2869_pegase__sad | 134,020.00 | 134,015.35 | 134,004.97 |
nesta_case29_edin__sad | 41,258.00 | 41,258.45 | 41,258.45 |
nesta_case300_ieee__sad | 16,894.00 | 16,893.92 | 16,824.92 |
nesta_case3012wp_mp__sad | 2,621,300.00 | 2,621,317.35 | 2,604,327.49 |
nesta_case30_as__sad | 897.49 | 897.49 | 897.46 |
nesta_case30_fsr__sad | 576.79 | 576.79 | 574.48 |
nesta_case30_ieee__sad | 204.97 | 204.97 | 192.11 |
nesta_case3120sp_mp__sad | 2,175,500.00 | 2,175,503.10 | 2,174,889.27 |
nesta_case3375wp_mp__sad | 7,435,700.00 | 7,435,697.48 | 7,413,407.32 |
nesta_case39_epri__sad | 96,745.00 | 96,745.01 | 96,745.01 |
nesta_case3_lmbd__sad | 5,959.30 | 5,959.33 | 5,736.05 |
nesta_case4_gs__sad | 315.84 | 315.84 | 315.84 |
nesta_case57_ieee__sad | 1,143.30 | 1,143.27 | 1,143.27 |
nesta_case5_pjm__sad | 26,115.00 | 26,115.19 | 26,115.19 |
nesta_case6468_rte__sad | 86,829.00 | 86,829.02 | 86,776.07 |
nesta_case6470_rte__sad | 98,357.00 | 98,356.85 | 98,315.51 |
nesta_case6495_rte__sad | 106,320.00 | 106,320.10 | 106,043.52 |
nesta_case6515_rte__sad | 109,950.00 | 109,947.18 | 109,645.00 |
nesta_case6_c__sad | 24.38 | 24.38 | 24.38 |
nesta_case6_ww__sad | 3,146.30 | 3,146.27 | 3,139.87 |
nesta_case73_ieee_rts__sad | 227,750.00 | 227,745.73 | 227,741.06 |
nesta_case89_pegase__sad | 5,819.80 | 5,819.81 | 5,819.40 |
nesta_case9241_pegase__sad | 315,920.00 | 315,918.17 | 315,900.62 |
nesta_case9_wscc__sad | 5,528.30 | 5,528.26 | 5,528.26 |
We also show results for the QC, SOCP, and SDP relaxation. We list the objective value and their optimality gap when comparing to the AC solution above. The optimality gap is computed by:
[ AC objective value – Relaxation objective value ] / [AC objective value],
and then converted to percentages (%).
QC Relaxation:
QC Optimal Power Flow | ||||
Data File | GDG (Thermal) | Opt. Gap (%) | GDG (Current) | Opt. Gap (%) |
nesta_case118_ieee | 3,654.67 | 1.72 | 3,645.81 | 1.31 |
nesta_case1354_pegase | 74,009.18 | 0.08 | 74,003.68 | 0.08 |
nesta_case13659_pegase | 380,505.99 | 1.45 | 382,393.97 | 0.96 |
nesta_case1394sop_eir | 1,355.55 | 0.82 | 1,348.89 | 0.71 |
nesta_case1397sp_eir | 3,852.70 | 0.93 | 3,829.68 | 0.75 |
nesta_case1460wp_eir | 4,599.06 | 0.89 | 4,194.70 | 1.83 |
nesta_case14_ieee | 243.78 | 0.11 | 243.78 | 0.11 |
nesta_case162_ieee_dtc | 4,060.92 | 4.00 | 3,971.81 | 2.43 |
nesta_case1888_rte | 59,577.85 | 0.38 | 59,573.51 | 0.38 |
nesta_case189_edin | 847.50 | 0.21 | 842.13 | 0.23 |
nesta_case1951_rte | 81,680.26 | 0.07 | 81,680.12 | 0.07 |
nesta_case2224_edin | 35,827.97 | 6.03 | 35,711.01 | 3.50 |
nesta_case2383wp_mp | 1,849,080.12 | 1.04 | 1,848,954.27 | 0.52 |
nesta_case240_wecc | 71,128.10 | 5.33 | 70,674.61 | 2.65 |
nesta_case24_ieee_rts | 63,344.57 | 0.01 | 63,344.57 | 0.01 |
nesta_case2736sp_mp | 1,304,097.61 | 0.29 | 1,304,089.78 | 0.29 |
nesta_case2737sop_mp | 775,703.23 | 0.25 | 775,706.95 | 0.25 |
nesta_case2746wop_mp | 1,203,963.57 | 0.36 | 1,203,967.23 | 0.36 |
nesta_case2746wp_mp | 1,626,575.01 | 0.32 | 1,626,516.55 | 0.32 |
nesta_case2848_rte | 52,980.95 | 0.08 | 52,980.68 | 0.08 |
nesta_case2868_rte | 79,744.80 | 0.06 | 79,741.48 | 0.06 |
nesta_case2869_pegase | 133,878.64 | 0.09 | 133,872.45 | 0.09 |
nesta_case29_edin | 29,860.82 | 0.12 | 29,860.49 | 0.12 |
nesta_case300_ieee | 16,692.80 | 1.18 | 16,546.29 | 0.68 |
nesta_case3012wp_mp | 2,574,744.36 | 1.00 | 2,573,678.36 | 0.48 |
nesta_case30_as | 802.68 | 0.06 | 802.68 | 0.06 |
nesta_case30_fsr | 573.55 | 0.39 | 573.54 | 0.16 |
nesta_case30_ieee | 172.91 | 15.64 | 159.95 | 16.74 |
nesta_case3120sp_mp | 2,134,198.26 | 0.54 | 2,132,596.30 | 0.47 |
nesta_case3375wp_mp | 7,398,093.47 | 0.51 | 7,396,868.53 | 0.22 |
nesta_case39_epri | 96,459.72 | 0.05 | 96,459.74 | 0.05 |
nesta_case3_lmbd | 5,740.39 | 1.24 | 5,704.98 | 0.47 |
nesta_case4_gs | 156.43 | 0.00 | 156.43 | 0.00 |
nesta_case57_ieee | 1,142.53 | 0.06 | 1,142.53 | 0.06 |
nesta_case5_pjm | 14,999.71 | 14.54 | 14,997.04 | 0.00 |
nesta_case6468_rte | 86,631.45 | 0.23 | 86,622.01 | 0.18 |
nesta_case6470_rte | 98,176.58 | 0.17 | 98,169.25 | 0.14 |
nesta_case6495_rte | 105,803.53 | 0.49 | 105,788.55 | 0.24 |
nesta_case6515_rte | 109,391.36 | 0.43 | 109,380.93 | 0.24 |
nesta_case6_c | 23.14 | 0.30 | 23.14 | 0.30 |
nesta_case6_ww | 3,124.67 | 0.61 | 3,124.16 | 0.49 |
nesta_case73_ieee_rts | 189,706.06 | 0.03 | 189,706.15 | 0.03 |
nesta_case89_pegase | 5,810.15 | 0.17 | 5,810.13 | 0.13 |
nesta_case9241_pegase | 310,621.92 | 1.67 | 312,478.72 | 1.08 |
nesta_case9_wscc | 5,296.67 | 0.00 | 5,296.67 | 0.00 |
QC Optimal Power Flow | ||||
Data File (API cases) | GDG (Thermal) | Opt. Gap (%) | GDG (Current) | Opt. Gap (%) |
nesta_case118_ieee__api | 5,774.30 | 43.77 | 5,633.90 | 13.23 |
nesta_case1354_pegase__api | 52,258.07 | 0.36 | 52,202.87 | 0.13 |
nesta_case13659_pegase__api | 297,535.23 | 1.75 | 297,658.52 | 1.16 |
nesta_case1394sop_eir__api | 3,364.43 | 0.39 | 3,315.22 | 0.39 |
nesta_case1397sp_eir__api | 6,588.37 | 1.16 | 6,535.89 | 0.68 |
nesta_case1460wp_eir__api | 6,339.41 | 1.64 | 6,191.29 | 0.56 |
nesta_case14_ieee__api | 321.02 | 1.26 | 320.56 | 0.19 |
nesta_case162_ieee_dtc__api | 6,026.33 | 1.32 | 5,841.46 | 0.60 |
nesta_case1888_rte__api | 58,132.89 | 0.70 | 57,022.76 | 1.24 |
nesta_case189_edin__api | 1,881.73 | 1.69 | 1,853.87 | 0.73 |
nesta_case1951_rte__api | 75,538.41 | 0.13 | 74,886.44 | 0.13 |
nesta_case2224_edin__api | 43,365.60 | 2.41 | 42,780.07 | 0.62 |
nesta_case2383wp_mp__api | 23,315.07 | 0.74 | 23,293.47 | 0.39 |
nesta_case240_wecc__api | 141,847.95 | 0.58 | 141,567.42 | 0.38 |
nesta_case24_ieee_rts__api | 5,548.11 | 13.67 | 5,441.51 | 11.97 |
nesta_case2736sp_mp__api | 25,319.25 | 2.18 | 25,298.94 | 1.44 |
nesta_case2737sop_mp__api | 21,590.79 | 0.39 | 21,555.25 | 0.28 |
nesta_case2746wop_mp__api | 22,692.81 | 0.48 | 22,681.58 | 0.34 |
nesta_case2746wp_mp__api | 25,813.16 | 0.58 | 25,744.74 | 0.53 |
nesta_case2848_rte__api | 43,932.88 | 0.23 | 43,019.45 | 0.22 |
nesta_case2868_rte__api | 75,355.77 | 0.20 | 74,731.50 | 0.18 |
nesta_case2869_pegase__api | 97,832.11 | 0.59 | 97,285.27 | 0.34 |
nesta_case29_edin__api | 294,077.08 | 0.41 | 294,042.55 | 0.04 |
nesta_case300_ieee__api | 19,742.71 | 0.63 | 19,662.96 | 0.52 |
nesta_case3012wp_mp__api | 28,032.43 | 1.06 | 27,932.96 | 0.71 |
nesta_case30_as__api | 543.69 | 4.63 | 541.58 | 2.72 |
nesta_case30_fsr__api | 200.88 | 45.20 | 200.59 | 4.94 |
nesta_case30_ieee__api | 411.17 | 0.92 | 410.19 | 0.23 |
nesta_case3120sp_mp__api | 23,065.18 | 2.74 | 23,023.55 | 1.11 |
nesta_case3375wp_mp__api | 48,604.15 | 0.68 | 48,469.22 | 0.41 |
nesta_case39_epri__api | 7,238.77 | 2.97 | 6,920.08 | 2.17 |
nesta_case3_lmbd__api | 360.87 | 1.79 | 360.37 | 0.57 |
nesta_case4_gs__api | 761.83 | 0.63 | 753.90 | 0.52 |
nesta_case57_ieee__api | 1,427.70 | 0.21 | 1,427.70 | 0.21 |
nesta_case5_pjm__api | 2,988.29 | 0.27 | 2,988.22 | 0.00 |
nesta_case6468_rte__api | 67,539.98 | 0.89 | 67,100.25 | 0.46 |
nesta_case6470_rte__api | 89,856.53 | 0.80 | 89,530.37 | 0.30 |
nesta_case6495_rte__api | 87,839.28 | 1.24 | 87,041.73 | 0.70 |
nesta_case6515_rte__api | 96,168.36 | 1.08 | 95,327.37 | 0.45 |
nesta_case6_c__api | 811.13 | 0.34 | 811.12 | 0.00 |
nesta_case73_ieee_rts__api | 17,630.42 | 11.83 | 17,639.33 | 5.34 |
nesta_case89_pegase__api | 3,411.61 | 19.83 | 3,410.86 | 0.41 |
nesta_case9241_pegase__api | 232,986.28 | 2.47 | 234,125.37 | 1.55 |
nesta_case9_wscc__api | 656.22 | 0.00 | 630.71 | 0.06 |
QC Optimal Power Flow | ||||
Data File (SAD cases) | GDG (Thermal) | Opt. Gap (%) | GDG (Current) | Opt. Gap (%) |
nesta_case118_ieee__sad | 3,915.53 | 4.66 | 3,899.15 | 4.71 |
nesta_case1354_pegase__sad | 74,018.14 | 0.07 | 74,013.10 | 0.06 |
nesta_case13659_pegase__sad | 383,410.12 | 0.71 | 383,410.12 | 0.71 |
nesta_case1394sop_eir__sad | 1,388.31 | 4.21 | 1,399.11 | 3.46 |
nesta_case1397sp_eir__sad | 3,924.62 | 7.39 | 3,925.70 | 5.36 |
nesta_case1460wp_eir__sad | 5,283.48 | 1.00 | 5,289.12 | 0.85 |
nesta_case14_ieee__sad | 243.93 | 0.05 | 243.93 | 0.05 |
nesta_case162_ieee_dtc__sad | 4,066.24 | 4.40 | 3,975.84 | 4.36 |
nesta_case1888_rte__sad | 59,585.45 | 0.45 | 59,581.22 | 0.46 |
nesta_case189_edin__sad | 856.32 | 0.98 | 856.31 | 0.92 |
nesta_case1951_rte__sad | 81,696.23 | 0.11 | 81,696.40 | 0.10 |
nesta_case2224_edin__sad | 36,153.57 | 5.52 | 35,946.30 | 3.19 |
nesta_case2383wp_mp__sad | 1,874,201.33 | 2.21 | 1,875,144.25 | 1.96 |
nesta_case240_wecc__sad | 72,379.90 | 5.38 | 71,989.23 | 3.52 |
nesta_case24_ieee_rts__sad | 74,691.07 | 2.93 | 74,659.77 | 2.96 |
nesta_case2736sp_mp__sad | 1,309,104.03 | 1.53 | 1,309,092.85 | 1.53 |
nesta_case2737sop_mp__sad | 777,430.71 | 1.92 | 777,434.23 | 1.92 |
nesta_case2746wop_mp__sad | 1,209,692.28 | 2.00 | 1,209,686.38 | 2.00 |
nesta_case2746wp_mp__sad | 1,639,472.96 | 1.67 | 1,639,368.32 | 1.68 |
nesta_case2848_rte__sad | 52,991.32 | 0.08 | 52,991.05 | 0.07 |
nesta_case2868_rte__sad | 79,758.82 | 0.07 | 79,755.48 | 0.07 |
nesta_case2869_pegase__sad | 133,894.03 | 0.09 | 133,888.43 | 0.09 |
nesta_case29_edin__sad | 34,424.47 | 16.56 | 34,424.47 | 16.56 |
nesta_case300_ieee__sad | 16,708.18 | 1.10 | 16,667.63 | 0.93 |
nesta_case3012wp_mp__sad | 2,583,656.25 | 1.44 | 2,583,464.20 | 0.80 |
nesta_case30_as__sad | 876.72 | 2.31 | 876.72 | 2.31 |
nesta_case30_fsr__sad | 574.44 | 0.41 | 574.31 | 0.03 |
nesta_case30_ieee__sad | 196.43 | 4.17 | 183.87 | 4.29 |
nesta_case3120sp_mp__sad | 2,144,445.09 | 1.43 | 2,143,972.54 | 1.42 |
nesta_case3375wp_mp__sad | 7,400,306.26 | 0.48 | 7,399,388.82 | 0.19 |
nesta_case39_epri__sad | 96,699.56 | 0.05 | 96,699.56 | 0.05 |
nesta_case3_lmbd__sad | 5,874.07 | 1.43 | 5,721.31 | 0.26 |
nesta_case4_gs__sad | 311.01 | 1.53 | 311.01 | 1.53 |
nesta_case57_ieee__sad | 1,142.74 | 0.05 | 1,142.74 | 0.05 |
nesta_case5_pjm__sad | 25,856.71 | 0.99 | 25,844.35 | 1.04 |
nesta_case6468_rte__sad | 86,639.43 | 0.22 | 86,630.28 | 0.17 |
nesta_case6470_rte__sad | 98,198.73 | 0.16 | 98,192.17 | 0.13 |
nesta_case6495_rte__sad | 105,815.76 | 0.47 | 105,799.39 | 0.23 |
nesta_case6515_rte__sad | 109,407.96 | 0.49 | 109,394.39 | 0.23 |
nesta_case6_c__sad | 24.27 | 0.42 | 24.27 | 0.42 |
nesta_case6_ww__sad | 3,139.40 | 0.22 | 3,136.45 | 0.11 |
nesta_case73_ieee_rts__sad | 221,967.31 | 2.54 | 221,936.68 | 2.55 |
nesta_case89_pegase__sad | 5,811.76 | 0.14 | 5,811.64 | 0.13 |
nesta_case9241_pegase__sad | 313,344.79 | 0.81 | 313,318.29 | 0.82 |
nesta_case9_wscc__sad | 5,498.50 | 0.54 | 5,498.50 | 0.54 |
SOCP relaxation:
SOCP Optimal Power Flow | ||||
Data File | GDG (Thermal) | Opt. Gap (%) | GDG (Current) | Opt. Gap (%) |
nesta_case118_ieee | 3,650.77 | 1.83 | 3,640.81 | 1.44 |
nesta_case1354_pegase | 74,012.27 | 0.08 | 74,005.33 | 0.07 |
nesta_case13659_pegase | 380,489.43 | 1.46 | 382,443.66 | 0.95 |
nesta_case1394sop_eir | 1,355.59 | 0.82 | 1,348.93 | 0.71 |
nesta_case1397sp_eir | 3,852.77 | 0.93 | 3,829.73 | 0.75 |
nesta_case1460wp_eir | 4,599.08 | 0.89 | 4,194.66 | 1.83 |
nesta_case14_ieee | 243.78 | 0.11 | 243.78 | 0.11 |
nesta_case162_ieee_dtc | 4,059.93 | 4.03 | 3,970.73 | 2.46 |
nesta_case1888_rte | 59,578.12 | 0.38 | 59,573.77 | 0.38 |
nesta_case189_edin | 847.50 | 0.21 | 842.13 | 0.23 |
nesta_case1951_rte | 81,680.36 | 0.07 | 81,680.19 | 0.07 |
nesta_case2224_edin | 35,806.24 | 6.09 | 35,709.05 | 3.51 |
nesta_case2383wp_mp | 1,848,900.95 | 1.05 | 1,848,858.21 | 0.52 |
nesta_case240_wecc | 70,828.43 | 5.73 | 70,259.04 | 3.22 |
nesta_case24_ieee_rts | 63,344.57 | 0.01 | 63,344.57 | 0.01 |
nesta_case2736sp_mp | 1,303,975.55 | 0.30 | 1,303,964.92 | 0.30 |
nesta_case2737sop_mp | 775,673.19 | 0.25 | 775,676.57 | 0.25 |
nesta_case2746wop_mp | 1,203,843.00 | 0.37 | 1,203,846.72 | 0.37 |
nesta_case2746wp_mp | 1,626,473.64 | 0.32 | 1,626,414.56 | 0.33 |
nesta_case2848_rte | 52,981.22 | 0.08 | 52,980.93 | 0.08 |
nesta_case2868_rte | 79,745.37 | 0.06 | 79,742.03 | 0.06 |
nesta_case2869_pegase | 133,879.80 | 0.09 | 133,873.51 | 0.09 |
nesta_case29_edin | 29,860.91 | 0.12 | 29,859.48 | 0.12 |
nesta_case300_ieee | 16,692.03 | 1.18 | 16,545.53 | 0.69 |
nesta_case3012wp_mp | 2,574,258.10 | 1.02 | 2,573,280.16 | 0.49 |
nesta_case30_as | 802.68 | 0.06 | 802.68 | 0.06 |
nesta_case30_fsr | 573.55 | 0.39 | 573.54 | 0.16 |
nesta_case30_ieee | 172.41 | 15.88 | 159.64 | 16.90 |
nesta_case3120sp_mp | 2,134,006.04 | 0.55 | 2,132,319.29 | 0.48 |
nesta_case3375wp_mp | 7,397,372.55 | 0.52 | 7,396,243.45 | 0.23 |
nesta_case39_epri | 96,459.72 | 0.05 | 96,459.73 | 0.05 |
nesta_case3_lmbd | 5,736.17 | 1.32 | 5,701.59 | 0.53 |
nesta_case4_gs | 156.43 | 0.00 | 156.43 | 0.00 |
nesta_case57_ieee | 1,142.53 | 0.06 | 1,142.53 | 0.06 |
nesta_case5_pjm | 14,999.71 | 14.54 | 14,997.04 | 0.00 |
nesta_case6468_rte | 86,635.38 | 0.22 | 86,625.01 | 0.17 |
nesta_case6470_rte | 98,181.06 | 0.17 | 98,173.36 | 0.14 |
nesta_case6495_rte | 105,807.46 | 0.48 | 105,791.97 | 0.24 |
nesta_case6515_rte | 109,395.61 | 0.43 | 109,384.76 | 0.23 |
nesta_case6_c | 23.14 | 0.30 | 23.14 | 0.30 |
nesta_case6_ww | 3,124.28 | 0.63 | 3,124.11 | 0.49 |
nesta_case73_ieee_rts | 189,706.06 | 0.03 | 189,706.15 | 0.03 |
nesta_case89_pegase | 5,810.16 | 0.17 | 5,810.14 | 0.13 |
nesta_case9241_pegase | 310,624.76 | 1.67 | 312,533.41 | 1.06 |
nesta_case9_wscc | 5,296.67 | 0.00 | 5,296.67 | 0.00 |
SOCP Optimal Power Flow | ||||
Data File (API cases) | GDG (Thermal) | Opt. Gap (%) | GDG (Current) | Opt. Gap (%) |
nesta_case118_ieee__api | 5,782.24 | 43.70 | 5,624.44 | 13.37 |
nesta_case1354_pegase__api | 52,260.18 | 0.36 | 52,204.71 | 0.13 |
nesta_case13659_pegase__api | 297,352.36 | 1.81 | 297,694.76 | 1.15 |
nesta_case1394sop_eir__api | 3,364.65 | 0.38 | 3,315.44 | 0.39 |
nesta_case1397sp_eir__api | 6,579.87 | 1.29 | 6,527.65 | 0.81 |
nesta_case1460wp_eir__api | 6,336.50 | 1.68 | 6,187.66 | 0.62 |
nesta_case14_ieee__api | 321.02 | 1.26 | 320.56 | 0.19 |
nesta_case162_ieee_dtc__api | 6,025.40 | 1.33 | 5,839.98 | 0.62 |
nesta_case1888_rte__api | 58,130.57 | 0.71 | 57,019.90 | 1.24 |
nesta_case189_edin__api | 1,881.73 | 1.69 | 1,853.87 | 0.73 |
nesta_case1951_rte__api | 75,538.72 | 0.13 | 74,884.66 | 0.13 |
nesta_case2224_edin__api | 43,362.98 | 2.41 | 42,779.59 | 0.62 |
nesta_case2383wp_mp__api | 23,314.63 | 0.74 | 23,292.64 | 0.40 |
nesta_case240_wecc__api | 141,682.88 | 0.69 | 141,489.31 | 0.44 |
nesta_case24_ieee_rts__api | 5,096.93 | 20.69 | 5,080.18 | 17.82 |
nesta_case2736sp_mp__api | 25,317.73 | 2.19 | 25,296.56 | 1.45 |
nesta_case2737sop_mp__api | 21,589.69 | 0.39 | 21,554.20 | 0.28 |
nesta_case2746wop_mp__api | 22,692.16 | 0.49 | 22,680.65 | 0.34 |
nesta_case2746wp_mp__api | 25,811.59 | 0.59 | 25,742.34 | 0.54 |
nesta_case2848_rte__api | 43,933.10 | 0.23 | 43,019.17 | 0.22 |
nesta_case2868_rte__api | 75,352.94 | 0.20 | 74,728.80 | 0.19 |
nesta_case2869_pegase__api | 97,832.77 | 0.59 | 97,283.19 | 0.35 |
nesta_case29_edin__api | 294,087.98 | 0.41 | 294,030.96 | 0.05 |
nesta_case300_ieee__api | 19,726.95 | 0.71 | 19,652.02 | 0.57 |
nesta_case3012wp_mp__api | 28,031.61 | 1.07 | 27,932.34 | 0.71 |
nesta_case30_as__api | 543.69 | 4.63 | 541.58 | 2.72 |
nesta_case30_fsr__api | 200.88 | 45.20 | 200.59 | 4.94 |
nesta_case30_ieee__api | 411.17 | 0.92 | 410.19 | 0.23 |
nesta_case3120sp_mp__api | 23,064.93 | 2.74 | 23,022.95 | 1.11 |
nesta_case3375wp_mp__api | 48,602.96 | 0.69 | 48,467.77 | 0.41 |
nesta_case39_epri__api | 7,237.22 | 2.99 | 6,918.86 | 2.19 |
nesta_case3_lmbd__api | 355.47 | 3.26 | 355.25 | 1.98 |
nesta_case4_gs__api | 761.83 | 0.63 | 753.90 | 0.52 |
nesta_case57_ieee__api | 1,427.70 | 0.21 | 1,427.70 | 0.21 |
nesta_case5_pjm__api | 2,988.29 | 0.27 | 2,988.22 | 0.00 |
nesta_case6468_rte__api | 67,538.33 | 0.90 | 67,095.69 | 0.47 |
nesta_case6470_rte__api | 89,852.12 | 0.81 | 89,523.52 | 0.31 |
nesta_case6495_rte__api | 87,831.28 | 1.25 | 87,026.81 | 0.72 |
nesta_case6515_rte__api | 96,157.47 | 1.09 | 95,313.19 | 0.47 |
nesta_case6_c__api | 811.13 | 0.34 | 811.12 | 0.00 |
nesta_case73_ieee_rts__api | 17,157.37 | 14.19 | 16,957.62 | 9.00 |
nesta_case89_pegase__api | 3,409.78 | 19.87 | 3,409.16 | 0.46 |
nesta_case9241_pegase__api | 232,912.52 | 2.51 | 234,162.30 | 1.54 |
nesta_case9_wscc__api | 656.22 | 0.00 | 630.71 | 0.06 |
SOCP Optimal Power Flow | ||||
Data File (SAD cases) | GDG (Thermal) | Opt. Gap (%) | GDG (Current) | Opt. Gap (%) |
nesta_case118_ieee__sad | 3,759.66 | 8.45 | 3,754.88 | 8.23 |
nesta_case1354_pegase__sad | 74,012.65 | 0.08 | 74,005.81 | 0.07 |
nesta_case13659_pegase__sad | 380,498.92 | 1.46 | 382,456.27 | 0.95 |
nesta_case1394sop_eir__sad | 1,385.37 | 4.41 | 1,397.20 | 3.60 |
nesta_case1397sp_eir__sad | 3,918.92 | 7.53 | 3,924.81 | 5.38 |
nesta_case1460wp_eir__sad | 5,279.23 | 1.08 | 5,287.94 | 0.87 |
nesta_case14_ieee__sad | 243.88 | 0.07 | 243.88 | 0.07 |
nesta_case162_ieee_dtc__sad | 4,059.96 | 4.55 | 3,971.29 | 4.47 |
nesta_case1888_rte__sad | 59,578.37 | 0.47 | 59,574.03 | 0.47 |
nesta_case189_edin__sad | 856.31 | 0.98 | 856.30 | 0.92 |
nesta_case1951_rte__sad | 81,680.47 | 0.13 | 81,680.28 | 0.12 |
nesta_case2224_edin__sad | 35,934.48 | 6.09 | 35,860.66 | 3.42 |
nesta_case2383wp_mp__sad | 1,856,507.17 | 3.13 | 1,856,799.86 | 2.92 |
nesta_case240_wecc__sad | 70,828.61 | 7.41 | 70,609.63 | 5.37 |
nesta_case24_ieee_rts__sad | 69,594.57 | 9.55 | 69,594.57 | 9.55 |
nesta_case2736sp_mp__sad | 1,305,597.01 | 1.79 | 1,305,597.12 | 1.79 |
nesta_case2737sop_mp__sad | 776,067.54 | 2.09 | 776,070.74 | 2.09 |
nesta_case2746wop_mp__sad | 1,205,202.78 | 2.37 | 1,205,203.87 | 2.36 |
nesta_case2746wp_mp__sad | 1,630,560.61 | 2.21 | 1,630,466.59 | 2.21 |
nesta_case2848_rte__sad | 52,983.58 | 0.09 | 52,983.27 | 0.09 |
nesta_case2868_rte__sad | 79,745.58 | 0.09 | 79,742.24 | 0.09 |
nesta_case2869_pegase__sad | 133,883.14 | 0.10 | 133,878.09 | 0.09 |
nesta_case29_edin__sad | 30,568.69 | 25.91 | 30,568.69 | 25.91 |
nesta_case300_ieee__sad | 16,693.10 | 1.19 | 16,653.51 | 1.02 |
nesta_case3012wp_mp__sad | 2,578,856.32 | 1.62 | 2,578,000.77 | 1.01 |
nesta_case30_as__sad | 825.93 | 7.97 | 826.63 | 7.89 |
nesta_case30_fsr__sad | 574.08 | 0.47 | 574.05 | 0.08 |
nesta_case30_ieee__sad | 191.07 | 6.78 | 180.39 | 6.10 |
nesta_case3120sp_mp__sad | 2,140,476.97 | 1.61 | 2,139,307.76 | 1.64 |
nesta_case3375wp_mp__sad | 7,397,567.04 | 0.51 | 7,396,735.75 | 0.22 |
nesta_case39_epri__sad | 96,662.73 | 0.09 | 96,664.71 | 0.08 |
nesta_case3_lmbd__sad | 5,736.17 | 3.74 | 5,701.90 | 0.60 |
nesta_case4_gs__sad | 301.56 | 4.52 | 301.56 | 4.52 |
nesta_case57_ieee__sad | 1,142.56 | 0.06 | 1,142.56 | 0.06 |
nesta_case5_pjm__sad | 25,171.09 | 3.62 | 25,154.93 | 3.68 |
nesta_case6468_rte__sad | 86,638.88 | 0.22 | 86,628.76 | 0.17 |
nesta_case6470_rte__sad | 98,189.61 | 0.17 | 98,183.89 | 0.13 |
nesta_case6495_rte__sad | 105,807.46 | 0.48 | 105,792.22 | 0.24 |
nesta_case6515_rte__sad | 109,395.61 | 0.50 | 109,385.17 | 0.24 |
nesta_case6_c__sad | 24.06 | 1.31 | 24.06 | 1.31 |
nesta_case6_ww__sad | 3,124.28 | 0.70 | 3,124.11 | 0.50 |
nesta_case73_ieee_rts__sad | 212,380.25 | 6.75 | 212,380.30 | 6.74 |
nesta_case89_pegase__sad | 5,810.18 | 0.17 | 5,810.17 | 0.16 |
nesta_case9241_pegase__sad | 310,628.00 | 1.67 | 312,542.17 | 1.06 |
nesta_case9_wscc__sad | 5,441.72 | 1.57 | 5,441.72 | 1.57 |
SDP relaxation:
SDP Optimal Power Flow | ||||
Data File | GDG (Thermal) | Opt. Gap (%) | GDG (Current) | Opt. Gap (%) |
nesta_case118_ieee | 3,662.40 | 1.51 | 3,651.12 | 1.16 |
nesta_case1354_pegase | 74,015.55 | 0.07 | 74,008.53 | 0.07 |
nesta_case13659_pegase | N/A | N/A | N/A | N/A |
nesta_case1394sop_eir | 1,356.06 | 0.79 | 1,349.51 | 0.66 |
nesta_case1397sp_eir | 3,854.30 | 0.89 | 3,831.15 | 0.71 |
nesta_case1460wp_eir | 4,600.98 | 0.84 | 4,196.65 | 1.78 |
nesta_case14_ieee | 244.05 | 0.00 | 244.05 | 0.00 |
nesta_case162_ieee_dtc | 4,060.07 | 4.02 | 3,970.85 | 2.45 |
nesta_case1888_rte | 59,581.08 | 0.37 | 59,576.84 | 0.38 |
nesta_case189_edin | 847.89 | 0.17 | 842.26 | 0.21 |
nesta_case1951_rte | 81,681.96 | 0.07 | 81,681.73 | 0.07 |
nesta_case2224_edin | 35,812.44 | 6.07 | 35,710.03 | 3.51 |
nesta_case2383wp_mp | 1,848,921.56 | 1.05 | 1,848,879.26 | 0.52 |
nesta_case240_wecc | 70,853.87 | 5.70 | 70,265.39 | 3.21 |
nesta_case24_ieee_rts | 63,344.59 | 0.01 | 63,344.59 | 0.01 |
nesta_case2736sp_mp | 1,303,979.59 | 0.30 | 1,303,968.95 | 0.30 |
nesta_case2737sop_mp | 775,675.03 | 0.25 | 775,678.41 | 0.25 |
nesta_case2746wop_mp | 1,203,844.60 | 0.37 | 1,203,848.32 | 0.37 |
nesta_case2746wp_mp | 1,626,478.45 | 0.32 | 1,626,419.35 | 0.33 |
nesta_case2848_rte | 52,982.49 | 0.07 | 52,982.21 | 0.07 |
nesta_case2868_rte | 79,748.09 | 0.06 | 79,744.72 | 0.06 |
nesta_case2869_pegase | 133,884.82 | 0.09 | 133,878.40 | 0.08 |
nesta_case29_edin | 29,870.69 | 0.08 | 29,870.69 | 0.08 |
nesta_case300_ieee | 16,734.79 | 0.93 | 16,574.35 | 0.52 |
nesta_case3012wp_mp | 2,574,301.66 | 1.02 | 2,573,287.32 | 0.49 |
nesta_case30_as | 803.11 | 0.00 | 803.11 | 0.00 |
nesta_case30_fsr | 573.64 | 0.37 | 573.59 | 0.15 |
nesta_case30_ieee | 204.85 | 0.06 | 191.99 | 0.06 |
nesta_case3120sp_mp | 2,134,014.15 | 0.55 | 2,132,327.27 | 0.48 |
nesta_case3375wp_mp | 7,397,571.01 | 0.51 | 7,396,301.83 | 0.23 |
nesta_case39_epri | 96,459.87 | 0.05 | 96,459.88 | 0.05 |
nesta_case3_lmbd | 5,789.91 | 0.39 | 5,731.65 | 0.00 |
nesta_case4_gs | 156.43 | 0.00 | 156.43 | 0.00 |
nesta_case57_ieee | 1,142.55 | 0.06 | 1,142.55 | 0.06 |
nesta_case5_pjm | 16,635.70 | 5.22 | 14,997.04 | 0.00 |
nesta_case6468_rte | 86,638.56 | 0.22 | 86,628.20 | 0.17 |
nesta_case6470_rte | 98,185.04 | 0.17 | 98,177.36 | 0.13 |
nesta_case6495_rte | 105,813.11 | 0.48 | 105,797.64 | 0.23 |
nesta_case6515_rte | 109,400.76 | 0.42 | 109,389.96 | 0.23 |
nesta_case6_c | 23.21 | 0.00 | 23.21 | 0.00 |
nesta_case6_ww | 3,124.54 | 0.62 | 3,124.35 | 0.49 |
nesta_case73_ieee_rts | 189,706.07 | 0.03 | 189,706.17 | 0.03 |
nesta_case89_pegase | 5,810.18 | 0.17 | 5,810.15 | 0.13 |
nesta_case9241_pegase | 310,642.68 | 1.67 | 312,547.86 | 1.06 |
nesta_case9_wscc | 5,296.68 | 0.00 | 5,296.68 | 0.00 |
SDP Optimal Power Flow | ||||
Data File (API cases) | GDG (Thermal) | Opt. Gap (%) | GDG (Current) | Opt. Gap (%) |
nesta_case118_ieee__api | 5,804.60 | 43.48 | 5,632.06 | 13.26 |
nesta_case1354_pegase__api | 52,268.85 | 0.34 | 52,208.60 | 0.12 |
nesta_case13659_pegase__api | 297,376.97 | 1.80 | 297,716.09 | 1.14 |
nesta_case1394sop_eir__api | 3,366.10 | 0.34 | 3,316.84 | 0.34 |
nesta_case1397sp_eir__api | 6,609.61 | 0.84 | 6,556.33 | 0.37 |
nesta_case1460wp_eir__api | 6,348.74 | 1.49 | 6,195.08 | 0.50 |
nesta_case14_ieee__api | 324.97 | 0.05 | 321.16 | 0.00 |
nesta_case162_ieee_dtc__api | 6,025.67 | 1.33 | 5,840.22 | 0.62 |
nesta_case1888_rte__api | 58,135.48 | 0.70 | 57,025.92 | 1.23 |
nesta_case189_edin__api | 1,891.30 | 1.19 | 1,853.98 | 0.73 |
nesta_case1951_rte__api | 75,542.35 | 0.13 | 74,887.49 | 0.13 |
nesta_case2224_edin__api | 43,373.29 | 2.39 | 42,783.07 | 0.61 |
nesta_case2383wp_mp__api | 23,316.09 | 0.74 | 23,294.23 | 0.39 |
nesta_case240_wecc__api | 141,686.62 | 0.69 | 141,493.26 | 0.43 |
nesta_case24_ieee_rts__api | 5,096.93 | 20.69 | 5,080.18 | 17.82 |
nesta_case2736sp_mp__api | 25,317.76 | 2.19 | 25,296.61 | 1.45 |
nesta_case2737sop_mp__api | 21,589.74 | 0.39 | 21,554.26 | 0.28 |
nesta_case2746wop_mp__api | 22,692.19 | 0.49 | 22,680.66 | 0.34 |
nesta_case2746wp_mp__api | 25,811.64 | 0.59 | 25,742.39 | 0.54 |
nesta_case2848_rte__api | 43,936.50 | 0.22 | 43,026.07 | 0.21 |
nesta_case2868_rte__api | 75,363.27 | 0.19 | 74,740.34 | 0.17 |
nesta_case2869_pegase__api | 97,847.14 | 0.58 | 97,296.91 | 0.33 |
nesta_case29_edin__api | 294,094.37 | 0.41 | 294,037.73 | 0.05 |
nesta_case300_ieee__api | 19,745.83 | 0.61 | 19,664.48 | 0.51 |
nesta_case3012wp_mp__api | 28,033.69 | 1.06 | 27,932.68 | 0.71 |
nesta_case30_as__api | 548.41 | 3.80 | 546.55 | 1.83 |
nesta_case30_fsr__api | 208.26 | 43.19 | 205.47 | 2.62 |
nesta_case30_ieee__api | 413.62 | 0.33 | 411.14 | 0.00 |
nesta_case3120sp_mp__api | 23,073.31 | 2.71 | 23,027.05 | 1.09 |
nesta_case3375wp_mp__api | 48,609.71 | 0.67 | 48,469.41 | 0.41 |
nesta_case39_epri__api | 7,237.23 | 2.99 | 6,918.92 | 2.19 |
nesta_case3_lmbd__api | 362.98 | 1.21 | 362.44 | 0.00 |
nesta_case4_gs__api | 766.57 | 0.01 | 757.82 | 0.00 |
nesta_case57_ieee__api | 1,428.03 | 0.18 | 1,428.03 | 0.18 |
nesta_case5_pjm__api | 2,996.16 | 0.01 | 2,988.22 | 0.00 |
nesta_case6468_rte__api | 67,547.84 | 0.88 | 67,105.54 | 0.45 |
nesta_case6470_rte__api | 89,866.66 | 0.79 | 89,538.71 | 0.29 |
nesta_case6495_rte__api | 87,851.45 | 1.23 | 87,042.54 | 0.70 |
nesta_case6515_rte__api | 96,183.25 | 1.06 | 95,329.24 | 0.45 |
nesta_case6_c__api | 813.83 | 0.00 | 811.16 | 0.00 |
nesta_case73_ieee_rts__api | 17,157.38 | 14.19 | 16,957.62 | 9.00 |
nesta_case89_pegase__api | 3,410.40 | 19.86 | 3,409.16 | 0.46 |
nesta_case9241_pegase__api | 232,943.04 | 2.49 | 234,187.53 | 1.53 |
nesta_case9_wscc__api | 656.23 | 0.00 | 631.06 | 0.00 |
SDP Optimal Power Flow | ||||
Data File (SAD cases) | GDG (Thermal) | Opt. Gap (%) | GDG (Current) | Opt. Gap (%) |
nesta_case118_ieee__sad | 3,771.76 | 8.16 | 3,764.91 | 7.99 |
nesta_case1354_pegase__sad | 74,015.68 | 0.07 | 74,008.85 | 0.07 |
nesta_case13659_pegase__sad | N/A | N/A | N/A | N/A |
nesta_case1394sop_eir__sad | 1,387.12 | 4.29 | 1,399.61 | 3.43 |
nesta_case1397sp_eir__sad | 3,920.42 | 7.49 | 3,926.16 | 5.34 |
nesta_case1460wp_eir__sad | 5,281.05 | 1.05 | 5,289.71 | 0.84 |
nesta_case14_ieee__sad | 244.05 | 0.00 | 244.05 | 0.00 |
nesta_case162_ieee_dtc__sad | 4,060.10 | 4.55 | 3,971.41 | 4.46 |
nesta_case1888_rte__sad | 59,581.36 | 0.46 | 59,577.12 | 0.47 |
nesta_case189_edin__sad | 856.84 | 0.92 | 856.43 | 0.91 |
nesta_case1951_rte__sad | 81,682.07 | 0.13 | 81,681.83 | 0.12 |
nesta_case2224_edin__sad | 35,939.91 | 6.08 | 35,861.17 | 3.42 |
nesta_case2383wp_mp__sad | 1,856,530.67 | 3.13 | 1,856,829.13 | 2.92 |
nesta_case240_wecc__sad | 70,854.06 | 7.37 | 70,628.23 | 5.34 |
nesta_case24_ieee_rts__sad | 69,809.12 | 9.27 | 69,809.12 | 9.27 |
nesta_case2736sp_mp__sad | 1,305,601.28 | 1.79 | 1,305,601.38 | 1.79 |
nesta_case2737sop_mp__sad | 776,069.43 | 2.09 | 776,072.64 | 2.09 |
nesta_case2746wop_mp__sad | 1,205,204.32 | 2.36 | 1,205,205.41 | 2.36 |
nesta_case2746wp_mp__sad | 1,630,583.84 | 2.21 | 1,630,489.37 | 2.21 |
nesta_case2848_rte__sad | 52,984.81 | 0.09 | 52,984.50 | 0.09 |
nesta_case2868_rte__sad | 79,748.26 | 0.09 | 79,744.89 | 0.09 |
nesta_case2869_pegase__sad | 133,888.54 | 0.09 | 133,883.32 | 0.09 |
nesta_case29_edin__sad | 30,668.03 | 25.67 | 30,663.07 | 25.68 |
nesta_case300_ieee__sad | 16,737.30 | 0.93 | 16,692.08 | 0.79 |
nesta_case3012wp_mp__sad | 2,578,889.17 | 1.62 | 2,578,007.72 | 1.01 |
nesta_case30_as__sad | 893.50 | 0.44 | 893.61 | 0.43 |
nesta_case30_fsr__sad | 575.94 | 0.15 | 574.10 | 0.07 |
nesta_case30_ieee__sad | 204.85 | 0.06 | 191.99 | 0.06 |
nesta_case3120sp_mp__sad | 2,140,486.02 | 1.61 | 2,139,316.61 | 1.64 |
nesta_case3375wp_mp__sad | 7,397,768.91 | 0.51 | 7,396,804.47 | 0.22 |
nesta_case39_epri__sad | 96,663.05 | 0.08 | 96,665.01 | 0.08 |
nesta_case3_lmbd__sad | 5,848.58 | 1.86 | 5,735.99 | 0.00 |
nesta_case4_gs__sad | 315.68 | 0.05 | 315.68 | 0.05 |
nesta_case57_ieee__sad | 1,142.59 | 0.06 | 1,142.59 | 0.06 |
nesta_case5_pjm__sad | 26,105.10 | 0.04 | 26,105.10 | 0.04 |
nesta_case6468_rte__sad | 86,641.96 | 0.22 | 86,631.85 | 0.17 |
nesta_case6470_rte__sad | 98,193.50 | 0.17 | 98,187.79 | 0.13 |
nesta_case6495_rte__sad | 105,813.11 | 0.48 | 105,797.88 | 0.23 |
nesta_case6515_rte__sad | 109,400.76 | 0.50 | 109,390.37 | 0.23 |
nesta_case6_c__sad | 24.37 | 0.01 | 24.37 | 0.01 |
nesta_case6_ww__sad | 3,124.54 | 0.69 | 3,124.35 | 0.49 |
nesta_case73_ieee_rts__sad | 212,381.50 | 6.75 | 212,381.54 | 6.74 |
nesta_case89_pegase__sad | 5,810.20 | 0.17 | 5,810.17 | 0.16 |
nesta_case9241_pegase__sad | 310,645.79 | 1.67 | 312,556.67 | 1.06 |
nesta_case9_wscc__sad | 5,526.96 | 0.02 | 5,526.96 | 0.02 |