1
|
|
|
# -*- coding: utf-8 -*- |
2
|
|
|
|
3
|
|
|
"""Constraints to limit total values that are dependent on several Flows. |
4
|
|
|
|
5
|
|
|
SPDX-FileCopyrightText: Uwe Krien <[email protected]> |
6
|
|
|
SPDX-FileCopyrightText: Simon Hilpert |
7
|
|
|
SPDX-FileCopyrightText: Patrik Schönfeldt |
8
|
|
|
SPDX-FileCopyrightText: Johannes Röder |
9
|
|
|
SPDX-FileCopyrightText: Johannes Kochems |
10
|
|
|
SPDX-FileCopyrightText: Johannes Giehl |
11
|
|
|
|
12
|
|
|
SPDX-License-Identifier: MIT |
13
|
|
|
|
14
|
|
|
""" |
15
|
|
|
import warnings |
16
|
|
|
|
17
|
|
|
from pyomo import environ as po |
18
|
|
|
|
19
|
|
|
from oemof.solph._plumbing import sequence |
20
|
|
|
|
21
|
|
|
|
22
|
|
|
def emission_limit(om, flows=None, limit=None): |
23
|
|
|
r""" |
24
|
|
|
Short handle for generic_integral_limit() with keyword="emission_factor". |
25
|
|
|
Can be used to impose an emissions budget limit in a multi-period model. |
26
|
|
|
|
27
|
|
|
Note |
28
|
|
|
---- |
29
|
|
|
Flow objects require an attribute "emission_factor"! |
30
|
|
|
|
31
|
|
|
""" |
32
|
|
|
generic_integral_limit( |
33
|
|
|
om, keyword="emission_factor", flows=flows, upper_limit=limit |
34
|
|
|
) |
35
|
|
|
|
36
|
|
|
|
37
|
|
|
def emission_limit_per_period(om, flows=None, limit=None): |
38
|
|
|
r""" |
39
|
|
|
Short handle for generic_periodical_integral_limit() |
40
|
|
|
with keyword="emission_factor". Only applicable for multi-period models. |
41
|
|
|
Puts a limit on each period's emissions. |
42
|
|
|
|
43
|
|
|
Note |
44
|
|
|
---- |
45
|
|
|
Flow objects required an attribute "emission_factor"! |
46
|
|
|
|
47
|
|
|
""" |
48
|
|
|
generic_periodical_integral_limit( |
49
|
|
|
om, keyword="emission_factor", flows=flows, limit=limit |
50
|
|
|
) |
51
|
|
|
|
52
|
|
|
|
53
|
|
|
def generic_integral_limit( |
54
|
|
|
om, keyword, flows=None, upper_limit=None, lower_limit=None, limit=None |
55
|
|
|
): |
56
|
|
|
r"""Set a global limit for flows weighted by attribute named keyword. |
57
|
|
|
The attribute named keyword has to be added |
58
|
|
|
to every flow you want to take into account. |
59
|
|
|
|
60
|
|
|
Total value of keyword attributes after optimization can be retrieved |
61
|
|
|
calling the |
62
|
|
|
`om.oemof.solph._models.Model.integral_limit_${keyword}()`. |
63
|
|
|
|
64
|
|
|
Parameters |
65
|
|
|
---------- |
66
|
|
|
om : oemof.solph.Model |
67
|
|
|
Model to which constraints are added. |
68
|
|
|
flows : dict |
69
|
|
|
Dictionary holding the flows that should be considered in constraint. |
70
|
|
|
Keys are (source, target) objects of the Flow. If no dictionary is |
71
|
|
|
given all flows containing the keyword attribute will be |
72
|
|
|
used. |
73
|
|
|
keyword : string |
74
|
|
|
attribute to consider |
75
|
|
|
upper_limit : numeric |
76
|
|
|
Absolute upper limit of keyword attribute for the energy system. |
77
|
|
|
lower_limit : numeric |
78
|
|
|
Absolute lower limit of keyword attribute for the energy system. |
79
|
|
|
|
80
|
|
|
Note |
81
|
|
|
---- |
82
|
|
|
Flow objects require an attribute named like keyword! |
83
|
|
|
|
84
|
|
|
|
85
|
|
|
**Constraint:** |
86
|
|
|
|
87
|
|
|
.. math:: \sum_{i \in F_E} \sum_{t \in T} P_i(p, t) \cdot w_i(t) |
88
|
|
|
\cdot \tau(t) \leq UB |
89
|
|
|
|
90
|
|
|
.. math:: \sum_{i \in F_E} \sum_{t \in T} P_i(p, t) \cdot w_i(t) |
91
|
|
|
\cdot \tau(t) \geq LB |
92
|
|
|
|
93
|
|
|
|
94
|
|
|
With `F_I` being the set of flows considered for the integral limit and |
95
|
|
|
`T` being the set of time steps. |
96
|
|
|
|
97
|
|
|
The symbols used are defined as follows |
98
|
|
|
(with Variables (V) and Parameters (P)): |
99
|
|
|
|
100
|
|
|
================= ==== ==================================================== |
101
|
|
|
math. symbol type explanation |
102
|
|
|
================= ==== ==================================================== |
103
|
|
|
:math:`P_n(p, t)` V power flow :math:`n` at time index :math:`p, t` |
104
|
|
|
:math:`w_N(t)` P weight given to Flow named according to `keyword` |
105
|
|
|
:math:`\tau(t)` P width of time step :math:`t` |
106
|
|
|
:math:`UB` P global limit given by keyword `upper_limit` |
107
|
|
|
:math:`LB` P global limit given by keyword `lower_limit` |
108
|
|
|
================= ==== ==================================================== |
109
|
|
|
|
110
|
|
|
Examples |
111
|
|
|
-------- |
112
|
|
|
>>> import pandas as pd |
113
|
|
|
>>> from oemof import solph |
114
|
|
|
>>> date_time_index = pd.date_range('1/1/2012', periods=6, freq='h') |
115
|
|
|
>>> energysystem = solph.EnergySystem( |
116
|
|
|
... timeindex=date_time_index, |
117
|
|
|
... infer_last_interval=False, |
118
|
|
|
... ) |
119
|
|
|
>>> bel = solph.buses.Bus(label='electricityBus') |
120
|
|
|
>>> flow1 = solph.flows.Flow( |
121
|
|
|
... nominal_value=100, |
122
|
|
|
... custom_attributes={"my_factor": 0.8}, |
123
|
|
|
... ) |
124
|
|
|
>>> flow2 = solph.flows.Flow(nominal_value=50) |
125
|
|
|
>>> src1 = solph.components.Source(label='source1', outputs={bel: flow1}) |
126
|
|
|
>>> src2 = solph.components.Source(label='source2', outputs={bel: flow2}) |
127
|
|
|
>>> energysystem.add(bel, src1, src2) |
128
|
|
|
>>> model = solph.Model(energysystem) |
129
|
|
|
>>> flow_with_keyword = {(src1, bel): flow1, } |
130
|
|
|
>>> model = solph.constraints.generic_integral_limit( |
131
|
|
|
... model, "my_factor", flow_with_keyword, limit=777) |
132
|
|
|
""" |
133
|
|
|
flows = _check_and_set_flows(om, flows, keyword) |
134
|
|
|
limit_name = "integral_limit_" + keyword |
135
|
|
|
|
136
|
|
|
if limit is not None: |
137
|
|
|
msg = ( |
138
|
|
|
"The keyword argument 'limit' to generic_integral_limit has been" |
139
|
|
|
"renamed to 'upper_limit'. The transitional wrapper will be" |
140
|
|
|
"deleted in a future version." |
141
|
|
|
) |
142
|
|
|
warnings.warn(msg, FutureWarning) |
143
|
|
|
upper_limit = limit |
144
|
|
|
|
145
|
|
|
if upper_limit is None and lower_limit is None: |
146
|
|
|
raise ValueError( |
147
|
|
|
"At least one of upper_limit and lower_limit needs to be defined." |
148
|
|
|
) |
149
|
|
|
|
150
|
|
|
setattr( |
151
|
|
|
om, |
152
|
|
|
limit_name, |
153
|
|
|
po.Expression( |
154
|
|
|
expr=sum( |
155
|
|
|
om.flow[inflow, outflow, t] |
156
|
|
|
* om.timeincrement[t] |
157
|
|
|
* sequence(getattr(flows[inflow, outflow], keyword))[t] |
158
|
|
|
for (inflow, outflow) in flows |
159
|
|
|
for t in om.TIMESTEPS |
160
|
|
|
) |
161
|
|
|
), |
162
|
|
|
) |
163
|
|
|
|
164
|
|
|
if upper_limit is not None: |
165
|
|
|
setattr( |
166
|
|
|
om, |
167
|
|
|
limit_name + "_upper_limit", |
168
|
|
|
po.Constraint(expr=(getattr(om, limit_name) <= upper_limit)), |
169
|
|
|
) |
170
|
|
|
if lower_limit is not None: |
171
|
|
|
setattr( |
172
|
|
|
om, |
173
|
|
|
limit_name + "_lower_limit", |
174
|
|
|
po.Constraint(expr=(getattr(om, limit_name) >= lower_limit)), |
175
|
|
|
) |
176
|
|
|
|
177
|
|
|
return om |
178
|
|
|
|
179
|
|
|
|
180
|
|
|
def generic_periodical_integral_limit(om, keyword, flows=None, limit=None): |
181
|
|
|
r"""Set a global limit for flows for each period of a multi-period model |
182
|
|
|
which is weighted by attribute called keyword. |
183
|
|
|
The attribute named by keyword has to be added |
184
|
|
|
to every flow you want to take into account. |
185
|
|
|
|
186
|
|
|
Total value of keyword attributes after optimization can be retrieved |
187
|
|
|
calling the :attr:`om.oemof.solph.Model.integral_limit_${keyword}()`. |
188
|
|
|
|
189
|
|
|
Parameters |
190
|
|
|
---------- |
191
|
|
|
om : oemof.solph.Model |
192
|
|
|
Model to which constraints are added. |
193
|
|
|
flows : dict |
194
|
|
|
Dictionary holding the flows that should be considered in constraint. |
195
|
|
|
Keys are (source, target) objects of the Flow. If no dictionary is |
196
|
|
|
given all flows containing the keyword attribute will be |
197
|
|
|
used. |
198
|
|
|
keyword : string |
199
|
|
|
attribute to consider |
200
|
|
|
limit : sequence of float |
201
|
|
|
Absolute limit of keyword attribute for the energy system. |
202
|
|
|
|
203
|
|
|
Note |
204
|
|
|
---- |
205
|
|
|
Flow objects required an attribute named like keyword! |
206
|
|
|
|
207
|
|
|
|
208
|
|
|
**Constraint:** |
209
|
|
|
|
210
|
|
|
.. math:: \sum_{i \in F_I} \sum_{t \in T} P_i(t) \cdot w_i(t) |
211
|
|
|
\cdot \tau(t) \leq L(p) \forall p \in \textrm{PERIODS} |
212
|
|
|
|
213
|
|
|
|
214
|
|
|
For the parameter and variable explanation, please refer to the docs |
215
|
|
|
of generic_integral_limit. |
216
|
|
|
|
217
|
|
|
""" |
218
|
|
|
flows = _check_and_set_flows(om, flows, keyword) |
219
|
|
|
limit_name = "integral_limit_" + keyword |
220
|
|
|
|
221
|
|
|
if om.es.periods is None: |
222
|
|
|
msg = ( |
223
|
|
|
"generic_periodical_integral_limit is only applicable\n" |
224
|
|
|
"for multi-period models.\nFor standard models, use " |
225
|
|
|
"generic_integral_limit instead." |
226
|
|
|
) |
227
|
|
|
raise ValueError(msg) |
228
|
|
|
|
229
|
|
|
if limit is not None: |
230
|
|
|
limit = sequence(limit) |
231
|
|
|
else: |
232
|
|
|
msg = ( |
233
|
|
|
"You have to provide a limit for each period!\n" |
234
|
|
|
"If you provide a scalar value, this will be applied as a " |
235
|
|
|
"limit for each period." |
236
|
|
|
) |
237
|
|
|
raise ValueError(msg) |
238
|
|
|
|
239
|
|
|
def _periodical_integral_limit_rule(m, p): |
240
|
|
|
expr = sum( |
241
|
|
|
om.flow[inflow, outflow, t] |
242
|
|
|
* om.timeincrement[t] |
243
|
|
|
* sequence(getattr(flows[inflow, outflow], keyword))[t] |
244
|
|
|
for (inflow, outflow) in flows |
245
|
|
|
for t in m.TIMESTEPS_IN_PERIOD[p] |
246
|
|
|
) |
247
|
|
|
|
248
|
|
|
return expr <= limit[p] |
249
|
|
|
|
250
|
|
|
om.periodical_integral_limit = po.Constraint( |
251
|
|
|
om.PERIODS, |
252
|
|
|
rule=_periodical_integral_limit_rule, |
253
|
|
|
name=limit_name + "_constraint", |
254
|
|
|
) |
255
|
|
|
|
256
|
|
|
return om |
257
|
|
|
|
258
|
|
|
|
259
|
|
|
def _check_and_set_flows(om, flows, keyword): |
260
|
|
|
"""Checks and sets flows if needed |
261
|
|
|
|
262
|
|
|
Parameters |
263
|
|
|
---------- |
264
|
|
|
om : oemof.solph.Model |
265
|
|
|
Model to which constraints are added. |
266
|
|
|
|
267
|
|
|
flows : dict |
268
|
|
|
Dictionary holding the flows that should be considered in constraint. |
269
|
|
|
Keys are (source, target) objects of the Flow. If no dictionary is |
270
|
|
|
given all flows containing the keyword attribute will be |
271
|
|
|
used. |
272
|
|
|
|
273
|
|
|
keyword : string |
274
|
|
|
attribute to consider |
275
|
|
|
|
276
|
|
|
Returns |
277
|
|
|
------- |
278
|
|
|
flows : dict |
279
|
|
|
the flows to be considered |
280
|
|
|
""" |
281
|
|
|
if flows is None: |
282
|
|
|
flows = {} |
283
|
|
|
for i, o in om.flows: |
284
|
|
|
if hasattr(om.flows[i, o], keyword): |
285
|
|
|
flows[(i, o)] = om.flows[i, o] |
286
|
|
|
|
287
|
|
|
else: |
288
|
|
|
for i, o in flows: |
289
|
|
|
if not hasattr(flows[i, o], keyword): |
290
|
|
|
raise AttributeError( |
291
|
|
|
( |
292
|
|
|
"Flow with source: {0} and target: {1} " |
293
|
|
|
"has no attribute {2}." |
294
|
|
|
).format(i.label, o.label, keyword) |
295
|
|
|
) |
296
|
|
|
|
297
|
|
|
return flows |
298
|
|
|
|