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@adamgreenhall
Last active December 14, 2015 15:59
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differences between stochastic UC solutions
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{
"metadata": {
"name": "sln-diff-report"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Solution differences"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Load in data"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pandas as pd\n",
"from matplotlib import pyplot as plt\n",
"from results import Result, ResultsSet, read_solutions\n",
"from utils import plot_scenarios, load_ts, load_gens, ts_plot"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"directory = 'summer_case/results_2.0.1'\n",
"slns = read_solutions(directory=directory)\n",
"rset = ResultsSet(directory=directory, slns=slns, skip_checks=True, wind_capacity_factor=0.4)\n",
"rset.costs"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>percent_increase</th>\n",
" <th>cost</th>\n",
" <th>cost_generators</th>\n",
" <th>shed_load</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>perfect</th>\n",
" <td> 0.000000</td>\n",
" <td> 2.421433e+09</td>\n",
" <td> 2.421433e+09</td>\n",
" <td> 0.00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>determinisitic</th>\n",
" <td> 1.187706</td>\n",
" <td> 2.450193e+09</td>\n",
" <td> 2.439727e+09</td>\n",
" <td> 1046.52</td>\n",
" </tr>\n",
" <tr>\n",
" <th>analog-Ns5</th>\n",
" <td> 1.079677</td>\n",
" <td> 2.447577e+09</td>\n",
" <td> 2.437475e+09</td>\n",
" <td> 1010.18</td>\n",
" </tr>\n",
" <tr>\n",
" <th>moment-matching-Ns5</th>\n",
" <td> 0.692175</td>\n",
" <td> 2.438194e+09</td>\n",
" <td> 2.438194e+09</td>\n",
" <td> 0.00</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "pyout",
"prompt_number": 2,
"text": [
" percent_increase cost cost_generators shed_load\n",
"perfect 0.000000 2.421433e+09 2.421433e+09 0.00\n",
"determinisitic 1.187706 2.450193e+09 2.439727e+09 1046.52\n",
"analog-Ns5 1.079677 2.447577e+09 2.437475e+09 1010.18\n",
"moment-matching-Ns5 0.692175 2.438194e+09 2.438194e+09 0.00"
]
}
],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Grab the stochastic solutions:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sln_an = rset.results[rset.solution_info.ix['analog-Ns5']['pid']]\n",
"sln_mm = rset.results[rset.solution_info.ix['moment-matching-Ns5']['pid']]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"generators = load_gens(df=rset.slnp.store['data_generators'])\n",
"ts = rset.slnp.store['data_timeseries'].rename(columns=dict(\n",
" d0='demand',\n",
" g0_forecast='wind_forecast',\n",
" g0_observations='wind_observed',\n",
" g1='chp')).ix[:len(rset.slnp.times)]\n",
"ts.index = rset.slnp.times"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is the 40% wind capacity factor case. Let's take a quick look at the load and wind statsitics:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pd.DataFrame(dict(\n",
" load=ts.demand,\n",
" wind_available=ts.wind_observed,\n",
" )).describe()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>load</th>\n",
" <th>wind_available</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>count</th>\n",
" <td> 3661.000000</td>\n",
" <td> 3661.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>mean</th>\n",
" <td> 42867.109934</td>\n",
" <td> 9684.632609</td>\n",
" </tr>\n",
" <tr>\n",
" <th>std</th>\n",
" <td> 9805.092332</td>\n",
" <td> 6118.346127</td>\n",
" </tr>\n",
" <tr>\n",
" <th>min</th>\n",
" <td> 22521.520000</td>\n",
" <td> 107.713251</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25%</th>\n",
" <td> 35028.700000</td>\n",
" <td> 4536.282251</td>\n",
" </tr>\n",
" <tr>\n",
" <th>50%</th>\n",
" <td> 41516.060000</td>\n",
" <td> 8817.465018</td>\n",
" </tr>\n",
" <tr>\n",
" <th>75%</th>\n",
" <td> 50433.780000</td>\n",
" <td> 14550.391322</td>\n",
" </tr>\n",
" <tr>\n",
" <th>max</th>\n",
" <td> 66507.130000</td>\n",
" <td> 26602.852000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "pyout",
"prompt_number": 5,
"text": [
" load wind_available\n",
"count 3661.000000 3661.000000\n",
"mean 42867.109934 9684.632609\n",
"std 9805.092332 6118.346127\n",
"min 22521.520000 107.713251\n",
"25% 35028.700000 4536.282251\n",
"50% 41516.060000 8817.465018\n",
"75% 50433.780000 14550.391322\n",
"max 66507.130000 26602.852000"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Difficult day examination"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There is some load shedding for some of the solution methods due to poor wind forecast (or poor scenarios, in the case of stochastic methods). In this experiment, one load shedding event only occurs: "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pd.DataFrame(dict(\n",
" shed_deterministic=rset.slnd.load_shed[rset.slnd.load_shed > 0.01],\n",
" shed_analogs=sln_an.load_shed[sln_an.load_shed > 0.01],\n",
" shed_moment_matching=sln_mm.load_shed[sln_mm.load_shed > 0.01],\n",
" )).fillna(0)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>shed_analogs</th>\n",
" <th>shed_deterministic</th>\n",
" <th>shed_moment_matching</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2012-06-05 15:00:00-05:00</th>\n",
" <td> 154.658507</td>\n",
" <td> 0.000000</td>\n",
" <td> 0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-06-05 16:00:00-05:00</th>\n",
" <td> 586.710589</td>\n",
" <td> 586.710589</td>\n",
" <td> 0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-06-05 17:00:00-05:00</th>\n",
" <td> 268.808679</td>\n",
" <td> 459.808679</td>\n",
" <td> 0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "pyout",
"prompt_number": 6,
"text": [
" shed_analogs shed_deterministic shed_moment_matching\n",
"2012-06-05 15:00:00-05:00 154.658507 0.000000 0\n",
"2012-06-05 16:00:00-05:00 586.710589 586.710589 0\n",
"2012-06-05 17:00:00-05:00 268.808679 459.808679 0"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"shed_times = sln_an.load_shed[sln_an.load_shed > 0.01].index\n",
"shed_date = shed_times[0] + pd.DateOffset(hour=0)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Why does the moment matching method better prepared for 2012-06-05? Let's look at the scenarios:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_scenarios(shed_date,\n",
" scenarios=sln_mm.store['data_scenario_values'], \n",
" forecast=ts.wind_forecast,\n",
" observed=ts.wind_observed)\n",
"sln_mm.store['data_scenario_values'][shed_date].probability"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"<class 'pandas.tseries.index.DatetimeIndex'>\n",
"[2012-06-05 00:00:00, ..., 2012-06-06 11:00:00]\n",
"Length: 36, Freq: H, Timezone: US/Central\n"
]
},
{
"output_type": "pyout",
"prompt_number": 8,
"text": [
"0 0.453186\n",
"1 0.266912\n",
"2 0.194956\n",
"3 0.074172\n",
"4 0.010774\n",
"Name: probability"
]
},
{
"output_type": "display_data",
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o0qQJCQkJAAQFBeXu9/Lyonbt2hw/fpw+ffowefJkJk2aREBAAI888ggpKSmc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\nYII=\n"
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that, while none of the scenarios quite anticipate the lower-than-forecast wind of 08:00-23:00, some of them do come closer than the original (deterministic) forecast.\n",
"\n",
"Now, let's look at the analogs scenarios:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_scenarios(shed_date,\n",
" scenarios=sln_an.store['data_scenario_values'],\n",
" forecast=ts.wind_forecast,\n",
" observed=ts.wind_observed,\n",
" # shed=sln_an.gen_shed\n",
")\n",
"sln_an.store['data_scenario_values'][shed_date].probability"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"<class 'pandas.tseries.index.DatetimeIndex'>\n",
"[2012-06-05 00:00:00, ..., 2012-06-06 11:00:00]\n",
"Length: 36, Freq: H, Timezone: US/Central\n"
]
},
{
"output_type": "pyout",
"prompt_number": 9,
"text": [
"0 0.183454\n",
"1 0.193385\n",
"2 0.205370\n",
"3 0.205608\n",
"4 0.212183\n",
"Name: probability"
]
},
{
"output_type": "display_data",
"png": 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p1KlTBx8fn0uyHz58uNyvvywuXXSDZbGc80X36tUwZYp+AIqIa0hJgdRU6NpV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\n44+TuLsH8Z/aMfHxkJ4exOjRwXh7l+5mwM+vI3fvLsHCQnh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AmBZjWDfs0VJ5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\n0E1ERERE5Gf/B0uRfQWbPR86AAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that all scenarios for the analogs method over-forecast the actual values, and the least likely scenario heavily over-forecasts."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Total cost by time"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can take a look at the solutions' cost differences over time to get a measure of how much these shedding events affect the overall solution."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def cost_ts(sln, with_shed_cost=True):\n",
" ts = sln.cost.sum(axis=1)\n",
" if with_shed_cost:\n",
" ts += sln.load_shed * sln.configuration['cost_load_shedding']\n",
" return ts\n",
"\n",
"def calc_cost_ts(with_shed_cost=True):\n",
" total_cost = pd.DataFrame(index=sln_an.load_shed.index)\n",
" total_cost['perfect'] = cost_ts(rset.slnp, with_shed_cost)\n",
" total_cost['deterministic'] = cost_ts(rset.slnd, with_shed_cost)\n",
" total_cost['analogs'] = cost_ts(sln_an, with_shed_cost)\n",
" total_cost['moment-matching'] = cost_ts(sln_mm, with_shed_cost)\n",
" \n",
" total_cost_percent = 100.0 / total_cost.perfect * ((total_cost - total_cost.perfect)).drop('perfect', axis=1) \n",
" cost_diff = (- 1 * total_cost.perfect + total_cost).drop('perfect', axis=1) \n",
" return total_cost, cost_diff, total_cost_percent\n",
"\n",
"total_cost, cost_diff, total_cost_percent = calc_cost_ts()\n",
"total_cost_gen, cost_diff_gen, total_cost_percent_gen = calc_cost_ts(with_shed_cost=False)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Cumulative dis-advantage plot (compared to perfect)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ts_plot(cost_diff.cumsum(), alpha=0.5)\n",
"plt.ylabel('Cummulative Total Cost Difference ($)');"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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+n0gMlZWi68jTE+bOFSUD3Nxg40ZYswa6dLH6kg0mhobWL0iSrRXV5tHZqTfD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\ngg==\n"
}
],
"prompt_number": 18
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that the shedding event in early June, contributed a large portion of the cost difference. If we plot the cummulative generator cost difference (no load shedding costs), we can see that without the shedding event the results would be quite different:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ts_plot(cost_diff_gen.cumsum(), alpha=0.5)\n",
"plt.ylabel('Cummulative Generator Cost Difference ($)');"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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yazqOEEKkpKQIHx8fsWXLFiGEEL/88ovw8fER2dnZQgghhg8fLsLCwsTZs2dF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\n7+joCIC9vT1arbZVY7MFU+XREZWVlXHo0CH+/e9/o1AoqK2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}
],
"prompt_number": 14
}
],
"metadata": {}
}
]
}
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