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Commit ad21c566 authored by Steinmann's avatar Steinmann
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created flow rule for pumnps

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%% Cell type:markdown id: tags:
Formulieren der Optimierungsgleichung in pymoo
%% Cell type:markdown id: tags:
Es gilt die Kontinuitätsgleichung:
$ \Sigma \dot{V}_k(t) = O$
und die aus der Topologie resultierende Inzidenzmatrix $A_i$
sowie die aus dem Pumpenkennfeld folgende Beziehung:
$\Delta p=\alpha_1 Q^2+\alpha_2 Q n+\alpha_3 n^2 : n \in \{0\} \cup [n_{\mathrm{min}},n_{\mathrm{max}}] $
$P=\beta_1 Q^3+\beta_2 Q^2 n+\beta_3 Q n^2+\beta_4n^3+\beta_5$
und die beziehung für den Druckverlust an den Ventilen:
$\Delta p_{\mathrm{loss}} = - \frac{1}{2} \varrho \zeta \left(\frac{Q}{A}\right)^2 = -l Q^2 :l\in [l_{\mathrm{min}}:\infty )$
nun soll für einen Gegebenen Volumenstrom $Q$ eine Optimale Drehzahl bestimmt werden, welche die Pumpenlesitung minimiert.
$$
\begin{align*}
\mathrm{min} \sum_{p \in \mathcal{P}} Po_{p} \\
Q_{p,i} \geq \sum_{strang} Q_v + \sum_{strang} Q_p \\
Q_p , n\epsilon [n_{min},n_{max}] \\
\overrightarrow{n} = (1,n,n^2,n^3)^T \\
min P = A \overrightarrow{n} \\
-n\leq n_{min} \\
n\leq n_{max}
\end{align*}
$$
Förderhöhe als constraint continuität fomulieren pro strang
%% Cell type:code id: tags:
``` python
!pip install pyomo
```
%% Output
Defaulting to user installation because normal site-packages is not writeable
Requirement already satisfied: pyomo in c:\users\steinmann\appdata\roaming\python\python312\site-packages (6.8.2)
Requirement already satisfied: ply in c:\users\steinmann\appdata\roaming\python\python312\site-packages (from pyomo) (3.11)
[notice] A new release of pip is available: 24.2 -> 25.0
[notice] To update, run: C:\Program Files\Python312\python.exe -m pip install --upgrade pip
%% Cell type:code id: tags:
``` python
#Pump-Powercurve and Pump-Hightcurve
import regression_own
(LR_H,LR_P)=regression_own.regress_pump()
```
%% Output
R^20.9998289611292903
R^20.9994449560888792
%% Cell type:code id: tags:
``` python
#Graph constroctor
#Alle Ventile sind direkt mit der Quelle/Senke Verbunden
import multiDiGraph as gr
nodes =['source','pump1','pump2','valveA','valveB','valveC']
graph = gr.construct_graph('source',('source','pump1',0.),('pump1','pump2',0.),('pump2','valveA',0.),('pump2','valveB',0.),
('pump1','valveC',0.),('valveA','source',4.),('valveB','source',4.),('valveC','source',4.))
#ist das notwendig?!?
for node in graph.nodes:
#definieren der Drehzahl für jede Pumpe im graphen
#inizieren des Durchflusses für jedes Ventil im Graphen
if 'pump' in node:
graph.nodes[node]['n']=750/3600
else:
graph.nodes[node]['n']=None
graph.nodes[node]['flow']=0.
if 'valve' in node:
graph.nodes[node]['flow']= graph[node]['source'][0]['weight']
for node in graph.nodes:
#Berechnen des Durchflusses im Knoten
if 'valve' in node:
continue
for inF in graph.predecessors(node):
graph.nodes[node]['flow'] += graph[inF][node][0]['weight']
#Berechnen des Durchflusses der abgehenden Kanten
tempF=graph.nodes[node]['flow']
SC=0
for outF in graph.successors(node):
if 'valve' in outF:
graph[node][outF][0]['weight']=graph.nodes[outF]['flow']
tempF=tempF - graph.nodes[outF]['flow']
else:
SC+=1
for outF in graph.successors(node):
if SC!=0. and not'valve' in outF:
graph[node][outF][0]['weight']=tempF/SC
else:continue
print(graph.nodes.data('flow'))
```
%% Output
[('source', 12.0), ('pump1', 12.0), ('pump2', 8.0), ('valveA', 4.0), ('valveB', 4.0), ('valveC', 4.0)]
%% Cell type:code id: tags:
``` python
import networkx as nx
Mtrx= nx.incidence_matrix(graph,nodes,oriented=True)
```
%% Cell type:code id: tags:
``` python
import networkx as nx
def create_dict(GR:nx.multidigraph):
data={None:{'nodes':{},
'pumps':{},
'valves':{},
}
}
for node in GR.nodes:
data[None]['nodes'][node]=None
data[None]['Q'][node]=GR.nodes[node]['flow']
if 'pump' in node:
data[None]['pumps'][node]=None
data[None]['n'][node]=0.
if 'valve' in node:
data[None]['valves'][node]=None
return data
```
%% Cell type:markdown id: tags:
Durchfluss aus Incidenzmatrix beerechnen
Zeilen = knoten
Spalten = kanten
Summe pro knoten = 0
Q pump muss größer gleich sein als alle nachfolgenden durchflüsse
Q pump löst sich auf wenn die nachfolgenden Durchflüsse klar sind mit $-l \sum_{i \in \mathrm{S}} Q^2_i = \alpha_1 Q^2 + \alpha_2 Q n + \alpha_3 n^2$
%% Cell type:code id: tags:
``` python
#defining abstract modell for given Network
import pyomo.environ as pyo
from pyomo.dataportal import DataPortal
import numpy as np
from sklearn.linear_model import LinearRegression
modell = pyo.AbstractModel()
#notwendige Mengen zur Berechnung der Constraints
modell.nodes = pyo.Set()
modell.pumps = pyo.Set()
modell.valves = pyo.Set()
modell.Q_valve=pyo.Param(modell.valves)
#Optimierungsvariable
modell.n = pyo.Var(modell.pumps,bounds=(750/3600,1))
modell.Q_pump = pyo.Var(modell.pumps)
modell.Q = pyo.Var(modell.nodes)
#Objective
def PumpPower(modell):
return sum(np.dot(
np.array(
[modell.Q_pump[i]**3,(modell.Q_pump[i]**2)*modell.n[i],modell.Q_pump[i]*modell.n[i]**2,modell.n[i]**3]
[modell.Q[i]**3,(modell.Q[i]**2)*modell.n[i],modell.Q[i]*modell.n[i]**2,modell.n[i]**3]
),LR_P.coef_
) for i in modell.pumps)
modell.Power_Objective = pyo.Objective(rule=PumpPower,sense=pyo.minimize)
def PumpFlow(modell,pump):
pump=np.dot(np.array([modell.Q_pump[pump]**2,modell.n[pump]*modell.Q_pump[pump],modell.n[pump]**2]),LR_H.coef_)
return pump>=sum(modell.Q_valve[node] for node in graph.successors(pump) if node in modell.valves)+sum(modell.Q_pump[n] for n in graph.successors(node) if node in modell.pumps)
modell.Flow_Objective = pyo.Objective(rule=PumpFlow,sense=pyo.as_boolean)
return np.dot(np.array([modell.Q[pump]**2,modell.n[pump]*modell.Q[pump],modell.n[pump]**2]),LR_H.coef_)
def Flow_Equation(modell,p):
return PumpFlow(modell=modell,pump=p) - pyo.summation(modell.Q,index=graph.successors(node))
modell.Flow_Objective = pyo.Objective(modell.pumps,rule=Flow_Equation,sense=pyo.minimize)
#Constaints
def continuityRule(modell,node):
return sum(modell.Q_pump[i] for i in graph.predecessors(node))==sum(modell.Q_pump[j] for j in graph.successors(node))
return sum(modell.Q[i] for i in graph.predecessors(node))==sum(modell.Q[j] for j in graph.successors(node))
#alternative
def continuityRule2(modell,node):
return 0.==sum(graph[node][i][0]['weight'] for i in graph[node])
#continuity adjustment for change in hight needed
#construction of test Data dictionairy missing
print([key for key in graph.nodes.keys() if 'valve' in key])
TestData={
None:{
'Q_valve':{'valveA':4.,'valveB':4.,'valveC':4.},
'nodes':[key for key in graph.nodes.keys()],
'pumps':[key for key in graph.nodes.keys() if 'pump' in key],
'valves':[key for key in graph.nodes.keys() if 'valve' in key],
'Q_valve':{'valveA':4.,'valveB':4.,'valveC':4.}
}
}
print(TestData)
#data=DataPortal(data_dict=TestData)
#Optimierungsgleichung
#modell.pump_constraint = pyo.Constraint(expr=sum(modell.nodes[k] for k in modell.nodes)==0,rule=continuityRule)
#instance=modell.create_instance(graph,LR_H)
#instance.obj = pyo.Objective(expr=sum(PumpPower(modell.Q_pump[i],modell.n[i],LR_P) for i in modell.pumps),sense=min)
#instance.obj = pyo.Objective(expr=sum(PumpPower(modell.Q[i],modell.n[i],LR_P) for i in modell.pumps),sense=min)
```
%% Output
{None: {'Q_valve': {'valveA': 4.0, 'valveB': 4.0, 'valveC': 4.0}, 'nodes': ['source', 'pump1', 'pump2', 'valveA', 'valveB', 'valveC'], 'pumps': ['pump1', 'pump2'], 'valves': ['valveA', 'valveB', 'valveC']}}
['valveA', 'valveB', 'valveC']
{None: {'nodes': ['source', 'pump1', 'pump2', 'valveA', 'valveB', 'valveC'], 'pumps': ['pump1', 'pump2'], 'valves': ['valveA', 'valveB', 'valveC'], 'Q_valve': {'valveA': 4.0, 'valveB': 4.0, 'valveC': 4.0}}}
%% Cell type:markdown id: tags:
Frage: gibt es nur eine Lösung für Drehzahl?
Bsp. Optimierung nach Dezentraler Pumpe um modell zu prüfen
%% Cell type:code id: tags:
``` python
from pyomo.opt import SolverFactory
opt = pyo.SolverFactory('scipampl', executable=r'C:\Program Files\SCIPOptSuite 9.2.0\bin\scip.exe')
#opt = pyo.SolverFactory('scipampl', executable=r'C:\Program Files\SCIPOptSuite 9.2.0\bin\scip.exe')
instance = modell.create_instance(TestData)
print(instance)
instance.continuity_check=pyo.Constraint(instance.nodes,rule=continuityRule)
result=opt.solve(instance, tee=True)
#result=opt.solve(instance, tee=True)
```
%% Output
ERROR: Rule failed when generating expression for Objective Flow_Objective
with index None: KeyError: "Index 'None' is not valid for indexed component
'Q_pump'"
ERROR: Constructing component 'Flow_Objective' from data=None failed:
KeyError: "Index 'None' is not valid for indexed component 'Q_pump'"
unknown
invalid parameter <C:\Users\STEINM~1\AppData\Local\Temp\tmp1r989oiw.pyomo.nl>
invalid parameter <-AMPL>
syntax: C:\Program Files\SCIPOptSuite 7.0.2\bin\scip.exe [-l <logfile>] [-q] [-s <settings>] [-r <randseed>] [-f <problem>] [-b <batchfile>] [-c "command"]
-v, --version : print version and build options
-l <logfile> : copy output into log file
-q : suppress screen messages
-s <settings> : load parameter settings (.set) file
-f <problem> : load and solve problem file
-o <primref> <dualref> : pass primal and dual objective reference values for validation at the end of the solve
-b <batchfile>: load and execute dialog command batch file (can be used multiple times)
-r <randseed> : nonnegative integer to be used as random seed. Has priority over random seed specified through parameter settings (.set) file
-c "command" : execute single line of dialog commands (can be used multiple times)
---------------------------------------------------------------------------
KeyError Traceback (most recent call last)
Cell In[19], line 4
1 from pyomo.opt import SolverFactory
3 opt = pyo.SolverFactory('scipampl', executable=r'C:\Program Files\SCIPOptSuite 9.2.0\bin\scip.exe')
----> 4 instance = modell.create_instance(TestData)
6 result=opt.solve(instance, tee=True)
File ~\AppData\Roaming\Python\Python312\site-packages\pyomo\core\base\PyomoModel.py:734, in Model.create_instance(self, filename, data, name, namespace, namespaces, profile_memory, report_timing, **kwds)
731 if None not in _namespaces:
732 _namespaces.append(None)
--> 734 instance.load(data, namespaces=_namespaces, profile_memory=profile_memory)
736 #
737 # Indicate that the model is concrete/constructed
738 #
739 instance._constructed = True
File ~\AppData\Roaming\Python\Python312\site-packages\pyomo\core\base\PyomoModel.py:771, in Model.load(self, arg, namespaces, profile_memory)
769 msg = "Cannot load model model data from with object of type '%s'"
770 raise ValueError(msg % str(type(arg)))
--> 771 self._load_model_data(dp, namespaces, profile_memory=profile_memory)
File ~\AppData\Roaming\Python\Python312\site-packages\pyomo\core\base\PyomoModel.py:823, in Model._load_model_data(self, modeldata, namespaces, **kwds)
820 if component.ctype is Model:
821 continue
--> 823 self._initialize_component(
824 modeldata, namespaces, component_name, profile_memory
825 )
827 # Note: As is, connectors are expanded when using command-line pyomo but not calling model.create(...) in a Python script.
828 # John says this has to do with extension points which are called from commandline but not when writing scripts.
829 # Uncommenting the next two lines switches this (command-line fails because it tries to expand connectors twice)
830 # connector_expander = ConnectorExpander()
831 # connector_expander.apply(instance=self)
833 if profile_memory >= 2 and pympler_available:
File ~\AppData\Roaming\Python\Python312\site-packages\pyomo\core\base\PyomoModel.py:871, in Model._initialize_component(self, modeldata, namespaces, component_name, profile_memory)
863 logger.debug(
864 "Constructing %s '%s' on %s from data=%s",
865 declaration.__class__.__name__,
(...)
868 str(data),
869 )
870 try:
--> 871 declaration.construct(data)
872 except:
873 err = sys.exc_info()[1]
File ~\AppData\Roaming\Python\Python312\site-packages\pyomo\core\base\objective.py:335, in Objective.construct(self, data)
333 # Bypass the index validation and create the member directly
334 for index in self.index_set():
--> 335 ans = self._setitem_when_not_present(index, rule(block, index))
336 if ans is not None:
337 ans.set_sense(self._init_sense(block, index))
File ~\AppData\Roaming\Python\Python312\site-packages\pyomo\core\base\initializer.py:349, in IndexedCallInitializer.__call__(self, parent, idx)
347 return self._fcn(parent, *idx)
348 else:
--> 349 return self._fcn(parent, idx)
Cell In[18], line 30, in PumpFlow(modell, pump)
29 def PumpFlow(modell,pump):
---> 30 pump=np.dot(np.array([modell.Q_pump[pump]**2,modell.n[pump]*modell.Q_pump[pump],modell.n[pump]**2]),LR_H.coef_)
31 return pump>=sum(modell.Q_valve[node] for node in graph.successors(pump) if node in modell.valves)+sum(modell.Q_pump[n] for n in graph.successors(node) if node in modell.pumps)
File ~\AppData\Roaming\Python\Python312\site-packages\pyomo\core\base\var.py:999, in IndexedVar.__getitem__(self, args)
997 def __getitem__(self, args) -> VarData:
998 try:
--> 999 return super().__getitem__(args)
1000 except RuntimeError:
1001 tmp = args if args.__class__ is tuple else (args,)
File ~\AppData\Roaming\Python\Python312\site-packages\pyomo\core\base\indexed_component.py:648, in IndexedComponent.__getitem__(self, index)
646 if isinstance(index, EXPR.GetItemExpression):
647 return index
--> 648 validated_index = self._validate_index(index)
649 if validated_index is not index:
650 index = validated_index
File ~\AppData\Roaming\Python\Python312\site-packages\pyomo\core\base\indexed_component.py:870, in IndexedComponent._validate_index(self, idx)
863 raise KeyError(
864 "Cannot treat the scalar component '%s' "
865 "as an indexed component" % (self.name,)
866 )
867 #
868 # Raise an exception
869 #
--> 870 raise KeyError(
871 "Index '%s' is not valid for indexed component '%s'"
872 % (normalized_idx, self.name)
873 )
KeyError: "Index 'None' is not valid for indexed component 'Q_pump'"
FileNotFoundError Traceback (most recent call last)
Cell In[46], line 8
5 print(instance)
6 instance.continuity_check=pyo.Constraint(instance.nodes,rule=continuityRule)
----> 8 result=opt.solve(instance, tee=True)
File ~\AppData\Roaming\Python\Python312\site-packages\pyomo\opt\base\solvers.py:636, in OptSolver.solve(self, *args, **kwds)
630 if self._report_timing:
631 print(
632 " %6.2f seconds required for solver"
633 % (solve_completion_time - presolve_completion_time)
634 )
--> 636 result = self._postsolve()
637 result._smap_id = self._smap_id
638 result._smap = None
File ~\AppData\Roaming\Python\Python312\site-packages\pyomo\solvers\plugins\solvers\SCIPAMPL.py:222, in SCIPAMPL._postsolve(self)
216 version = self._known_versions[executable]
218 if version < (8, 0, 0, 0):
219 # it may be possible to get results from older version but this was
220 # not tested, so the old way of doing things is here preserved
--> 222 results = super(SCIPAMPL, self)._postsolve()
224 else:
225 # repeat code from super(SCIPAMPL, self)._postsolve()
226 # in order to access the log file and get the results from there
228 if self._log_file is not None:
File ~\AppData\Roaming\Python\Python312\site-packages\pyomo\opt\solver\shellcmd.py:290, in SystemCallSolver._postsolve(self)
287 results = None
289 if self._results_format is not None:
--> 290 results = self.process_output(self._rc)
291 #
292 # If keepfiles is true, then we pop the
293 # TempfileManager context while telling it to
294 # _not_ remove the files.
295 #
296 if not self._keepfiles:
297 # in some cases, the solution filename is
298 # not generated via the temp-file mechanism,
299 # instead being automatically derived from
300 # the input lp/nl filename. so, we may have
301 # to clean it up manually.
File ~\AppData\Roaming\Python\Python312\site-packages\pyomo\opt\solver\shellcmd.py:395, in SystemCallSolver.process_output(self, rc)
388 results = self._results_reader(
389 self._results_file,
390 res=results,
391 soln=results.solution(0),
392 suffixes=self._suffixes,
393 )
394 else:
--> 395 results = self._results_reader(
396 self._results_file, res=results, suffixes=self._suffixes
397 )
398 results_reader_completion_time = time.time()
399 if self._report_timing is True:
File ~\AppData\Roaming\Python\Python312\site-packages\pyomo\opt\plugins\sol.py:40, in ResultsReader_sol.__call__(self, filename, res, soln, suffixes)
36 """
37 Parse a ``*.sol`` file
38 """
39 try:
---> 40 with open(filename, "r") as f:
41 return self._load(f, res, soln, suffixes)
42 except ValueError as e:
FileNotFoundError: [Errno 2] No such file or directory: 'C:\\Users\\STEINM~1\\AppData\\Local\\Temp\\tmp1r989oiw.pyomo.sol'
......
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