Case 3 - Comparing Formulations

Example Case 3 Comparing Formulations - Year Planning

author : Andrew Rosemberg

date : 21th Feb 2019

Introduction

This an example of the HydroPowerModels package for solving a simple stochastic case with the following specifications: 

- 3 Buses 

- 3 Lines 

- 2 Generators 

- 1 Reservoir and Hydrogenerator 

- 3 Scenarios 

- 12 Stages 

- DC,SOC and AC Formulations

Results

Table AC

hpg_1_25.0%hpg_1_50.0%hpg_1_75.0%pf_1_25.0%pf_1_50.0%pf_1_75.0%pf_2_25.0%pf_2_50.0%pf_2_75.0%pf_3_25.0%pf_3_50.0%pf_3_75.0%pg_1_25.0%pg_1_50.0%pg_1_75.0%pg_2_25.0%pg_2_50.0%pg_2_75.0%va_1_25.0%va_1_50.0%va_1_75.0%va_2_25.0%va_2_50.0%va_2_75.0%va_3_25.0%va_3_50.0%va_3_75.0%volume_1_25.0%volume_1_50.0%volume_1_75.0%
42.042.065.039.039.046.0-62.0-62.0-55.03.13.119.037.060.060.00.00.00.0-2.8999999999999997e-350.03.5999999999999997e-35-0.16-0.026-0.026-0.41-0.41-0.488.088.0100.0
42.043.052.039.039.042.0-62.0-62.0-59.03.13.99.651.059.060.00.00.00.0-1.9999999999999997e-310.05.7e-32-0.083-0.033-0.026-0.41-0.41-0.480.0110.0120.0
42.042.048.039.039.041.0-62.0-62.0-60.03.13.17.554.060.060.00.00.00.0-1.5e-310.06.6e-35-0.065-0.026-0.026-0.41-0.41-0.3997.0120.0140.0
42.045.051.039.040.042.0-62.0-61.0-59.03.15.49.051.057.060.00.00.00.0-3.3999999999999997e-310.03.1999999999999997e-31-0.079-0.047-0.026-0.41-0.4-0.39100.0120.0130.0
42.045.051.039.040.042.0-62.0-61.0-59.03.15.09.551.057.060.00.00.00.0-3.0e-330.03.7e-32-0.082-0.043-0.026-0.41-0.4-0.3993.0110.0120.0
42.047.053.039.040.042.0-62.0-61.0-59.03.16.211.049.056.060.00.00.00.0-1.8e-320.01.6999999999999999e-35-0.094-0.055-0.026-0.41-0.39-0.3976.089.095.0
42.047.053.039.040.042.0-62.0-61.0-59.03.16.210.049.056.060.00.00.00.0-2.6000000000000003e-320.05.5e-34-0.089-0.054-0.026-0.41-0.4-0.3953.061.067.0
42.050.058.039.041.044.0-62.0-60.0-57.03.18.714.044.052.060.00.00.00.0-4.7e-360.02.8e-36-0.12-0.076-0.026-0.41-0.4-0.3933.040.040.0
42.059.068.039.044.048.0-62.0-57.0-54.03.115.021.034.043.060.00.00.00.0-1.2e-360.07.100000000000001e-36-0.19-0.13-0.026-0.45-0.41-0.3917.020.029.0
42.058.071.039.044.049.0-62.0-57.0-53.03.114.022.031.044.060.00.00.00.0-3.3e-390.03.9e-35-0.23-0.12-0.026-0.51-0.41-0.3912.012.012.0
56.068.074.043.048.051.0-58.0-54.0-51.013.021.023.029.034.046.00.00.00.0-3.7000000000000003e-340.01.9e-33-0.29-0.19-0.11-0.59-0.45-0.414.04.028.0
63.074.074.046.051.051.0-56.0-51.0-51.018.023.023.029.029.039.00.00.00.0-5.7e-330.01.5e-33-0.29-0.29-0.15-0.59-0.59-0.44.5e-73.3e-516.0

Table DC

hpg_1_25.0%hpg_1_50.0%hpg_1_75.0%pf_1_25.0%pf_1_50.0%pf_1_75.0%pf_2_25.0%pf_2_50.0%pf_2_75.0%pf_3_25.0%pf_3_50.0%pf_3_75.0%pg_1_25.0%pg_1_50.0%pg_1_75.0%pg_2_25.0%pg_2_50.0%pg_2_75.0%va_1_25.0%va_1_50.0%va_1_75.0%va_2_25.0%va_2_50.0%va_2_75.0%va_3_25.0%va_3_50.0%va_3_75.0%volume_1_25.0%volume_1_50.0%volume_1_75.0%
38.038.065.035.035.046.0-65.0-65.0-54.02.62.619.035.062.062.00.00.00.00.00.00.0-0.19-0.026-0.026-0.46-0.35-0.3592.092.0100.0
38.038.040.035.035.036.0-65.0-65.0-64.02.62.64.060.062.062.00.00.00.00.00.00.0-0.04-0.026-0.026-0.36-0.35-0.3590.0120.0130.0
38.038.045.035.035.038.0-65.0-65.0-62.02.62.67.055.062.062.00.00.00.00.00.00.0-0.07-0.026-0.026-0.38-0.35-0.35110.0130.0150.0
38.038.052.035.035.041.0-65.0-65.0-59.02.62.611.048.062.062.00.00.00.00.00.00.0-0.11-0.026-0.026-0.41-0.35-0.35120.0130.0140.0
38.038.050.035.035.040.0-65.0-65.0-60.02.62.610.050.062.062.00.00.00.00.00.00.0-0.1-0.026-0.026-0.4-0.35-0.35110.0120.0140.0
41.055.070.037.042.048.0-63.0-58.0-52.04.913.022.030.045.059.00.00.00.00.00.00.0-0.22-0.13-0.049-0.48-0.42-0.3785.085.0100.0
40.048.058.036.039.043.0-64.0-61.0-57.04.18.615.042.052.060.00.00.00.00.00.00.0-0.15-0.086-0.041-0.43-0.39-0.3658.058.065.0
43.053.068.037.041.047.0-63.0-59.0-53.05.712.021.032.047.057.00.00.00.00.00.00.0-0.21-0.12-0.057-0.47-0.41-0.3735.035.035.0
38.055.075.035.042.050.0-65.0-58.0-50.02.613.025.025.045.062.00.00.00.00.00.00.0-0.25-0.13-0.026-0.5-0.42-0.3517.020.020.0
38.062.075.035.045.050.0-65.0-55.0-50.02.617.025.025.038.062.00.00.00.00.00.00.0-0.25-0.17-0.026-0.5-0.45-0.357.57.617.0
61.065.075.044.046.050.0-56.0-54.0-50.017.019.025.025.035.039.00.00.00.00.00.00.0-0.25-0.19-0.17-0.5-0.46-0.452.62.623.0
58.073.075.043.049.050.0-57.0-51.0-50.015.024.025.025.027.042.00.00.00.00.00.00.0-0.25-0.24-0.15-0.5-0.49-0.430.00.030.0

Table SOC

hpg_1_25.0%hpg_1_50.0%hpg_1_75.0%pf_1_25.0%pf_1_50.0%pf_1_75.0%pf_2_25.0%pf_2_50.0%pf_2_75.0%pf_3_25.0%pf_3_50.0%pf_3_75.0%pg_1_25.0%pg_1_50.0%pg_1_75.0%pg_2_25.0%pg_2_50.0%pg_2_75.0%volume_1_25.0%volume_1_50.0%volume_1_75.0%
53.053.065.047.047.047.0-54.0-54.0-54.06.36.318.037.049.049.00.00.00.077.077.0110.0
47.052.060.047.047.047.0-54.0-54.0-54.00.475.313.042.050.054.00.00.00.065.095.0120.0
48.052.056.047.047.047.0-54.0-54.0-54.00.685.29.545.050.054.00.00.00.077.099.0120.0
48.052.056.047.047.047.0-54.0-54.0-54.00.825.09.346.050.054.00.00.00.079.097.0110.0
47.051.056.047.047.047.0-54.0-54.0-54.00.414.28.646.051.054.00.00.00.068.081.097.0
47.050.056.047.047.047.0-54.0-54.0-54.00.0513.48.946.052.055.00.00.00.049.061.074.0
45.051.055.047.047.047.0-54.0-54.0-54.0-2.34.27.747.051.057.00.00.00.023.032.037.0
42.051.058.047.047.047.0-54.0-54.0-54.0-5.23.611.043.051.060.00.00.00.08.99.714.0
34.050.065.046.047.047.0-55.0-54.0-54.0-13.02.718.037.052.068.00.00.00.03.4e-50.000214.4
30.050.075.046.047.056.0-55.0-54.0-46.0-16.03.019.027.052.072.00.00.00.02.7e-62.8e-64.3e-6
60.060.080.047.047.061.0-54.0-54.0-41.013.013.019.023.042.042.00.00.00.01.5e-61.5e-610.0
45.070.080.047.051.061.0-54.0-50.0-41.0-2.019.019.023.032.057.00.00.00.04.4e-74.6e-712.0