Note
You can download this example as a Jupyter notebook or start it in interactive mode.
Wind Turbine combined with Heat Pump and Water Tank#
In this example the heat demand is supplied by a wind turbine in combination with a heat pump and a water tank that stores hot water with a standing loss.
[1]:
import pypsa
import pandas as pd
from pyomo.environ import Constraint
[2]:
network = pypsa.Network()
network.set_snapshots(pd.date_range("2016-01-01 00:00", "2016-01-01 03:00", freq="H"))
network.add("Bus", "0", carrier="AC")
network.add("Bus", "0 heat", carrier="heat")
network.add("Carrier", "wind")
network.add("Carrier", "heat")
network.add(
"Generator",
"wind turbine",
bus="0",
carrier="wind",
p_nom_extendable=True,
p_max_pu=[0.0, 0.2, 0.7, 0.4],
capital_cost=500,
)
network.add("Load", "heat demand", bus="0 heat", p_set=20.0)
# NB: Heat pump has changing efficiency (properly the Coefficient of Performance, COP)
# due to changing ambient temperature
network.add(
"Link",
"heat pump",
bus0="0",
bus1="0 heat",
efficiency=[2.5, 3.0, 3.2, 3.0],
capital_cost=1000,
p_nom_extendable=True,
)
network.add(
"Store",
"water tank",
bus="0 heat",
e_cyclic=True,
e_nom_extendable=True,
standing_loss=0.01,
)
[3]:
network.lopf(network.snapshots)
INFO:pypsa.linopf:Prepare linear problem
INFO:pypsa.linopf:Total preparation time: 0.11s
INFO:pypsa.linopf:Solve linear problem using Glpk solver
INFO:pypsa.linopf:Optimization successful. Objective value: 2.35e+04
[3]:
('ok', 'optimal')
[4]:
pd.DataFrame({attr: network.stores_t[attr]["water tank"] for attr in ["p", "e"]})
[4]:
| p | e | |
|---|---|---|
| snapshot | ||
| 2016-01-01 00:00:00 | 20.00000 | 4.37671 |
| 2016-01-01 01:00:00 | 4.33294 | 0.00000 |
| 2016-01-01 02:00:00 | -13.42310 | 13.42310 |
| 2016-01-01 03:00:00 | -11.33410 | 24.62290 |
[5]:
pd.DataFrame({attr: network.links_t[attr]["heat pump"] for attr in ["p0", "p1"]})
[5]:
| p0 | p1 | |
|---|---|---|
| snapshot | ||
| 2016-01-01 00:00:00 | 0.00000 | -0.00000 |
| 2016-01-01 01:00:00 | 5.22235 | -15.66705 |
| 2016-01-01 02:00:00 | 10.44470 | -33.42304 |
| 2016-01-01 03:00:00 | 10.44470 | -31.33410 |
[6]:
network.stores.loc[["water tank"]].T
[6]:
| Store | water tank |
|---|---|
| attribute | |
| bus | 0 heat |
| type | |
| carrier | heat |
| e_nom | 0.0 |
| e_nom_extendable | True |
| e_nom_min | 0.0 |
| e_nom_max | inf |
| e_min_pu | 0.0 |
| e_max_pu | 1.0 |
| e_initial | 0.0 |
| e_initial_per_period | False |
| e_cyclic | True |
| e_cyclic_per_period | True |
| p_set | 0.0 |
| q_set | 0.0 |
| sign | 1.0 |
| marginal_cost | 0.0 |
| capital_cost | 0.0 |
| standing_loss | 0.01 |
| build_year | 0 |
| lifetime | inf |
| e_nom_opt | 24.6229 |
[7]:
network.generators.loc[["wind turbine"]].T
[7]:
| Generator | wind turbine |
|---|---|
| attribute | |
| bus | 0 |
| control | Slack |
| type | |
| p_nom | 0.0 |
| p_nom_extendable | True |
| p_nom_min | 0.0 |
| p_nom_max | inf |
| p_min_pu | 0.0 |
| p_max_pu | 1.0 |
| p_set | 0.0 |
| q_set | 0.0 |
| sign | 1.0 |
| carrier | wind |
| marginal_cost | 0.0 |
| build_year | 0 |
| lifetime | inf |
| capital_cost | 500.0 |
| efficiency | 1.0 |
| committable | False |
| start_up_cost | 0.0 |
| shut_down_cost | 0.0 |
| min_up_time | 0 |
| min_down_time | 0 |
| up_time_before | 1 |
| down_time_before | 0 |
| ramp_limit_up | NaN |
| ramp_limit_down | NaN |
| ramp_limit_start_up | 1.0 |
| ramp_limit_shut_down | 1.0 |
| p_nom_opt | 26.1118 |