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Last active June 14, 2016 13:27
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# LP formulation of partial load efficiency"
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "import numpy as np\nimport matplotlib.pyplot as plt\nfrom matplotlib import cm\nfrom mpl_toolkits.mplot3d import Axes3D\n%matplotlib inline",
"execution_count": 4,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "In energy system modelling, the simplest way to represent an energy conversion process is a linear input-output relationship with a flat efficiency parameter $\\eta$:\n\n$$\\epsilon_\\text{out} = \\epsilon_\\text{in} \\cdot \\eta$$\n\nWhile this works reasonably well for large scale models, representing small power plant fleets or even a single unit, two limits of this formulation become glaringly obvious:\n\n * The efficiency remains constant among the whole capacity range of the process from $0$ to the total process capacity $\\kappa$ (MW): $0 \\leq \\epsilon_\\text{out} \\leq \\kappa$\n * The formulation allow arbitrarily small output."
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Processes in urbs\n\nIn urbs, not only a single efficiency $\\eta$, but a set of [input and output ratios](http://urbs.readthedocs.io/en/latest/mathdoc/parameters.html#process-technical-parameters) $r^\\text{in}$ and $r^\\text{out}$ is introduced around an additional variable $\\tau$ which represents the process activity. In the following equations, subscripts represent that a variable or parameter is dependent upon time ($\\circ_t$), process ($\\circ_p$), commodity ($\\circ_c$), or combinations thereof.\n\n$$\n\\begin{align}\n\\tau_{pt} &\\leq \\kappa_p \\\\\n\\epsilon_{pct}^\\text{in} &= \\tau_{pt} r_{pc}^\\text{in} \\\\\n\\epsilon_{pct}^\\text{out} &= \\tau_{pt} r_{pc}^\\text{out} \\\\\n\\end{align}\n$$\n\nThis formulation has the only advantage of allowing to represent processes with an arbitrary number of input and output commodities. In the following, this equation is generalised.\n\nNaively, one is tempted to introduce a binary on-off variable $\\xi_{pt} \\in \\{0,1\\}$, add that variable with a new parameter to the input commodity constraint. But, this leaves the lofty realm of LP formulations.\n\nInstead, one does a brave leap forward and introduces a *continuous* on-off-variable $\\omega_{pt} \\in [0, \\kappa_{p}]$. But instead of wondering what good this variable should do, one adds yet *another* continouous start-up variable $\\chi_{pt} \\in [0, \\kappa_p]$ and defines this like this:\n\n$$\n\\begin{align}\n\\tau_{pt} &\\leq \\omega_{pt} \\\\\n\\chi_{pt} &\\geq \\omega_{pt} - \\omega_{p(t-1)} \\\\\n\\zeta_\\text{var} & \\mathrel{+}= \\sum_{t\\in T} \\sum_{p\\in P} k_{p}^\\text{startup} \\chi_{pt}\n\\end{align}\n$$\n\nIn other words, instead of having a binary on-off indicator, one introduces the continuous concept of a so-called *online capacity* $\\omega_{pt}$. In the metaphor of a large power plant fleet, this is the fraction of reactors/turbines/... that are currently operating/spinning/hot/.... Its use for the efficiency will become clear in a minute.\n\nThe startup variable $\\chi_{pt}$ now allows to put a price on increasing the value of $\\omega_{pt}$."
},
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"metadata": {},
"cell_type": "markdown",
"source": "The following expression now links the *online capacity* with the notion of efficiency. Instead of a single input ratio, a second (both labelled here $r$ and $R$ without suffixes for brevity) input ratio is defined, and the input commodity equation beomces:\n$$\n\\begin{align}\n\\epsilon_{pct}^\\text{in} &= \\omega_{pt} \\, a \\frac{r-R}{1-a} + \\tau_{pt} \\frac{R - a r}{1-a} \\\\\na \\omega_{pt} &\\leq \\tau_{pt} \\leq \\omega_{pt} \\left( \\leq \\kappa_{p} \\right)\n\\end{align}\n$$\nwith \n * $\\omega_{pt}$ being the *capacity online* (MW) [time-dependent], \n * $\\tau_{pt}$ the *process throughput* (MW) (directly proportional to process outputs) [time-dependent], \n * $a$ minimum fractional process activity [process parameter]\n * $r$ lower input ratio [process-commodity parameter]\n * $R$ upper input ratio [process-commodity parameter]"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Plotting efficiency"
},
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"metadata": {
"collapsed": true,
"trusted": true
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"cell_type": "code",
"source": "def e_in(omega, tau, a=.55, r=1/.3, R=1/.4):\n \"\"\"Process input commodity rule with two input ratios.\n \n Returns the value of the process input commodity rule written above\n for a given value of the variables omega (online capacity), tau\n (process throughput) and the three parameters (a, r, R).\n \"\"\"\n return omega * a * (r - R) / (1 - a) + tau * (R - a * r) / (1 - a)",
"execution_count": 5,
"outputs": []
},
{
"metadata": {
"collapsed": true,
"trusted": true
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"cell_type": "code",
"source": "def plot_eff_3d(a_min, r, R, plot_title=''):\n x, y, z = [], [], []\n for omega in np.arange(0.05, 1, 0.02):\n for tau in np.arange(a_min * omega, omega, 0.02):\n x.append(omega)\n y.append(tau)\n z.append(tau/e_in(omega, tau, a=a_min, r=r, R=R))\n\n fig = plt.figure(figsize=(12,8))\n ax = Axes3D(fig, xlim=(0,1), ylim=(0,1), zlim=(0, 1.05*max(z)), elev=12, azim=-148)\n ax.plot_trisurf(x, y, z, cmap=cm.viridis, linewidth=.1)\n\n ax.set_title(plot_title)\n ax.set_xlabel('$\\omega$ = capacity online')\n ax.set_ylabel('$\\\\tau$ = throughput')\n ax.set_zlabel('$\\\\tau/\\epsilon_{in}$ = efficiency')\n\n plt.show()",
"execution_count": 6,
"outputs": []
},
{
"metadata": {
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "plot_eff_3d(a_min=0.35, r=1/.3, R=1/.4, \n plot_title='$r > R$: throughput=capacity online best eff; capacity online=1 best approx')",
"execution_count": 7,
"outputs": [
{
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x30bb7e22b0>",
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JbrvtNpxzzjmDPnfNmjU444wz9nls3bp1aGxsBIDyaGWxWGyfk6+BfD4fNm/ejO7u7iGf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Kws3Njd27d+Pm5mb3M2y7r+3gwYNs3LiRixcvcu7cOUpLS/Hz86NHjx6Ulpby3XffceHCBfz9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\n"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Here, the lower efficiency is 30%, reached along the lower bound of allowed activity $\\tau = 0.35 \\omega$ (dark blue). The highest efficiency is reached along the line $\\tau = \\omega$ (yellow). Therefore, this formulation only yields its potential if changing $\\omega$ alongside $\\tau$ comes at a non-negligible price in terms of $k^\\text{startup}$."
},
{
"metadata": {
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "plot_eff_3d(a_min=0.15, r=1/.8, R=1/.5, \n plot_title='$r < R$: partial load better that throughput=capacity online')",
"execution_count": 8,
"outputs": [
{
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x30bd5d2518>",
"image/png": 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SPpVKhdbW1iVcGqoWg1sdYxW1S2Ou9meld59K/811QuV2I6LVgjUJ6FII+qcR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\n"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Here, the highest efficiency is realised along the line of minimum partial load $\\tau = 0.15 \\omega$ (yellow), while operation at the online capacity $\\tau = \\omega$ yields the lower value $1/R$ (dark blue).\n\nThis parameterization could make sense for processes like fuel cells which reach their highest efficiency in partial load operation. Careful choice of parameter values can reveal the real best trade-off of (over)sizing against capacity utilisation."
},
{
"metadata": {},
"cell_type": "markdown",
"source": "All in all, this formulation works only if non-negligible startup costs make it expensive for $\\omega$ (capcity online) to just follow $\\tau$ (throughput) to stay on the \"ridge\" of maximum efficiency.\n\n*(Talking to MH, this is actually a desired effect. If $\\omega$ follows $\\tau$ over a possibly fluctuating demand, the startup costs $k^\\text{startup}$ should start interfering.)*\n\nGreat! Looks like implementation <del>[should move foreward](https://github.com/tum-ens/urbs/issues/1)</del> <ins>has moved forward!</ins>"
}
],
"metadata": {
"gist_id": "a8d26dc6abc9d22faf77d7cd2623dddc",
"language_info": {
"name": "python",
"version": "3.5.1",
"mimetype": "text/x-python",
"file_extension": ".py",
"codemirror_mode": {
"version": 3,
"name": "ipython"
},
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3"
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3",
"language": "python"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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