'''penalty on the power injected to the grid
P_grid = P_prod - P_sto
'''
P_prod = P_prod_data[k]
P_grid = P_prod - P_sto
P_grid_over = np.where(P_grid > 0.4, P_grid - 0.4, 0)
P_grid_neg = np.where(P_grid < 0, P_grid, 0)
penal = P_grid_over**2 + P_grid_neg**2 + 0 * P_sto**2
return penal
### Create the system description:
sto_sys = SysDescription((1, 1, 0),
name='Deterministic Storage for PV',
stationnary=False)
sto_sys.dyn = dyn_sto
sto_sys.control_box = admissible_controls
sto_sys.cost = cost_model
sto_sys.print_summary()
### Create the DP solver:
dpsolv = DPSolver(sto_sys)
# discretize the state space
N_E = 50
E_grid = dpsolv.discretize_state(0, E_rated, N_E)[0]
dpsolv.control_steps = (.001, )
dpsolv.print_summary()
def cost_model(E_sto, Speed, Accel, P_sto, innov):
'''penalty on the power injected to the grid
P_grid = P_prod - P_sto
penal = (P_grid/power_max)**2
'''
P_prod = searev_power(Speed)
P_grid = P_prod - P_sto
penal = (P_grid / power_max)**2
return penal
cost_label = 'quadratic cost'
### Create the system description:
searev_sys = SysDescription((3, 1, 1), name='Searev + Storage')
searev_sys.dyn = dyn_searev_sto
searev_sys.control_box = admissible_controls
searev_sys.cost = cost_model
searev_sys.perturb_laws = [innov_law]
#searev_sys.print_summary()
### Create the DP solver:
dpsolv = DPSolver(searev_sys)
# discretize the state space
N_E = 31
N_S = 61
N_A = 61
S_min, S_max = -4 * .254, 4 * 0.254
A_min, A_max = -4 * .227, 4 * .227
x_grid = dpsolv.discretize_state(0, E_rated, N_E, S_min, S_max, N_S, A_min,
sys.path.append('..')
import stodynprog
#reload(stodynprog)
from stodynprog import SysDescription
invsys = SysDescription((1, 1, 1), name='Shop Inventory')
def dyn_inv(x, u, w):
'dynamical equation of the inventory stock `x`. Returns x(k+1).'
return (x + u - w, )
# Attach the dynamical equation to the system description:
invsys.dyn = dyn_inv
demand_values = [0, 1, 2, 3]
demand_proba = [0.2, 0.4, 0.3, 0.1]
demand_law = stats.rv_discrete(values=(demand_values, demand_proba))
demand_law = demand_law.freeze()
demand_law.pmf([0, 3]) # Probality Mass Function
demand_law.rvs(10) # Random Variables generation
invsys.perturb_laws = [demand_law] # a list, to support several perturbations
def admissible_orders(x):
'interval of allowed orders U(x_k)'
U1 = (0, 10)
try:
import stodynprog
except ImportError:
sys.path.append('..')
import stodynprog
#reload(stodynprog)
from stodynprog import SysDescription
invsys = SysDescription((1,1,1), name='Shop Inventory')
def dyn_inv(x, u, w):
'dynamical equation of the inventory stock `x`. Returns x(k+1).'
return (x + u - w,)
# Attach the dynamical equation to the system description:
invsys.dyn = dyn_inv
demand_values = [0, 1, 2, 3]
demand_proba = [0.2, 0.4, 0.3, 0.1]
demand_law = stats.rv_discrete(values=(demand_values, demand_proba))
demand_law = demand_law.freeze()
demand_law.pmf([0, 3]) # Probality Mass Function
demand_law.rvs(10) # Random Variables generation
invsys.perturb_laws = [demand_law] # a list, to support several perturbations
def admissible_orders(x):
U1 = (P_neg, P_pos)
return (U1, )
def cost_model(k, E_sto, P_sto):
'''penalty on the power that is not absorbed
P_dev = P_req - P_sto
penal = P_dev**2
'''
P_req = p['P_req_data'][k]
P_dev = P_req - P_sto
penal = P_dev**2
return penal
### Create the system description:
sto_sys = SysDescription((1,1,0), name='Deterministic Storage', stationnary=False)
sto_sys.dyn = dyn_sto
sto_sys.control_box = admissible_controls
sto_sys.cost = cost_model
sto_sys.print_summary()
### Create the DP solver:
dpsolv = DPSolver(sto_sys)
# discretize the state space
N_E = 100
E_grid = dpsolv.discretize_state(0, p['E_rated'], N_E)[0]
dpsolv.control_steps=(.001,)
dpsolv.print_summary()
def cost_model(E_sto, Speed, Accel, P_sto, innov):
"""penalty on the power injected to the grid
P_grid = P_prod - P_sto
penal = (P_grid/power_max)**2
"""
P_prod = searev_power(Speed)
P_grid = P_prod - P_sto
penal = (P_grid / power_max) ** 2
return penal
cost_label = "quadratic cost"
### Create the system description:
searev_sys = SysDescription((3, 1, 1), name="Searev + Storage")
searev_sys.dyn = dyn_searev_sto
searev_sys.control_box = admissible_controls
searev_sys.cost = cost_model
searev_sys.perturb_laws = [innov_law]
# searev_sys.print_summary()
### Create the DP solver:
dpsolv = DPSolver(searev_sys)
# discretize the state space
N_E = 31
N_S = 61
N_A = 61
S_min, S_max = -4 * 0.254, 4 * 0.254
A_min, A_max = -4 * 0.227, 4 * 0.227
x_grid = dpsolv.discretize_state(0, E_rated, N_E, S_min, S_max, N_S, A_min, A_max, N_A)
