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core.py
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core.py
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import numpy as np
import gurobipy as gb
import Disturb as db
def make_Bdc(market):
Nb = market.Nb
Nl = market.Nl
Cft = np.zeros([Nl, Nb])
Bf = np.zeros([Nl, Nb])
Bbus = np.zeros([Nb, Nb])
Lines = market.Line
for idx, l in enumerate(Lines):
status = l.status
Bf[idx, int(l.fbus - 1)] = status / l.x
Bf[idx, int(l.tbus - 1)] = -status / l.x
Cft[idx, int(l.fbus - 1)] = 1
Cft[idx, int(l.tbus - 1)] = -1
Bbus = np.matmul(np.transpose(Cft), Bf)
market.Bbus = Bbus
market.Bf = Bf
market.Cft = Cft
def make_PTDF(market):
Nb = market.Nb
Nl = market.Nl
sw = market.sw
nosw = range(Nb)
nosw = np.setdiff1d(nosw, sw - 1)
Bf = market.Bf
Bbus = market.Bbus
PTDF = np.matmul(Bf[:, nosw], np.linalg.inv(Bbus[np.ix_(nosw, nosw)]))
PTDF = np.insert(PTDF, int(sw - 1), 0, axis=1)
market.PTDF = PTDF
def ecnomic_dispatch(market):
make_Bdc(market)
make_PTDF(market)
opt_model = gb.Model(str(market.Type) + 'Ecnomic_dispatch')
pg = {}
load_level = 0
obj = 0
gen_bus = np.zeros([len(market.genco), 1])
# add pg cap
for idx, gen in enumerate(market.genco):
gen_bus[idx] = gen.bus
pg[idx] = opt_model.addVar(name='Power generation' + str(idx), vtype=gb.GRB.CONTINUOUS,
ub=gen.pmax * gen.status, lb=gen.pmin * gen.status)
if gen.bid_type == 2:
cost = gen.bids
obj += pg[idx] * cost
elif gen.bid_type == 3:
cost = gen.bids
obj += (pg[idx] * pg[idx]) * cost[0] + pg[idx] * cost[1] + cost[2]
# add line flow cons
line_flow = {}
for line_idx, line in enumerate(market.Line):
line_flow[line_idx] = 0
for bus_idx in range(market.Nb):
load = market.load[bus_idx].P
line_flow[line_idx] = line_flow[line_idx] + market.PTDF[line_idx, bus_idx] * (-load)
line_flow[line_idx] = line_flow[line_idx] + market.PTDF[line_idx, bus_idx] * sum([pg[x] for x in sum(np.where(gen_bus == bus_idx + 1))])
opt_model.addConstr(line_flow[line_idx] <= line.rating, name='TC p' + str(line_idx))
opt_model.addConstr(line_flow[line_idx] >= -line.rating, name='TC n' + str(line_idx))
# add power balance
load_level = sum([np.sum(market.load[i].P) for i in range(market.load.__len__())])
gen_level = sum([np.sum(pg[i]) for i in range(market.Ng)])
opt_model.addConstr(gen_level == load_level, name="balance")
opt_model.setObjective(obj, gb.GRB.MINIMIZE)
opt_model.optimize()
#opt_model.write('math_model.lp')
for idx, gen in enumerate(market.genco):
gen.opt_pg = pg[idx].X
for idx, line in enumerate(market.Line):
line.opt_fl = line_flow[idx].getValue()
# LMP and dispatched settlements
lamda = opt_model.getConstrByName('balance').Pi
LMP = np.zeros([1, market.Nb])
for b, ld in enumerate(market.load):
LMP[0, b] = lamda
for l, line in enumerate(market.Line):
ng = opt_model.getConstrByName('TC n' + str(l)).Pi
po = opt_model.getConstrByName('TC p' + str(l)).Pi
LMP[0, b] += market.PTDF[l, b]*(ng-po)
market.LMP = LMP
for gen in market.genco:
gen.revenue = market.LMP[0, int(gen.bus-1)]*gen.opt_pg
for idx, ld in enumerate(market.load):
ld.revenue = -market.LMP[0, idx]*ld.P
del opt_model
def multi_ED(market):
make_Bdc(market)
make_PTDF(market)
for t in range(market.N_T):
opt_model = gb.Model(str(market.Type) + 'Ecnomic_dispatch')
pg = {}
load_level = 0
obj = 0
gen_bus = np.zeros([len(market.genco), 1])
# add pg cap
for idx, gen in enumerate(market.genco):
gen_bus[idx] = gen.bus
pg[idx] = opt_model.addVar(name='Power generation' + str(idx), vtype=gb.GRB.CONTINUOUS)
if not gen.T_status:
opt_model.addConstr(pg[idx] <= gen.pmax * gen.status, name='T_' + str(t) + 'Capacity_max' + str(idx))
opt_model.addConstr(pg[idx] >= gen.pmin * gen.status, name='T_' + str(t) + 'Capacity_min' + str(idx))
else:
opt_model.addConstr(pg[idx] <= gen.pmax * gen.T_status[t], name='T_' + str(t) + 'Capacity_max' + str(idx))
opt_model.addConstr(pg[idx] >= gen.pmin * gen.T_status[t], name='T_' + str(t) + 'Capacity_min' + str(idx))
if gen.bid_type == 2:
cost = gen.bids
obj += pg[idx] * cost
elif gen.bid_type == 3:
cost = gen.bids
obj += (pg[idx] * pg[idx]) * cost[0] + pg[idx] * cost[1] + cost[2]
# add line flow cons
line_flow = {}
for line_idx, line in enumerate(market.Line):
line_flow[line_idx] = 0
for bus_idx in range(market.Nb):
load = market.load[bus_idx].T_P[t]
line_flow[line_idx] = line_flow[line_idx] + market.PTDF[line_idx, bus_idx] * (-load)
line_flow[line_idx] = line_flow[line_idx] + market.PTDF[line_idx, bus_idx] *\
sum([pg[x] for x in sum(np.where(gen_bus == bus_idx + 1))])
opt_model.addConstr(line_flow[line_idx] <= line.rating, name='TC p' + str(line_idx))
opt_model.addConstr(line_flow[line_idx] >= -line.rating, name='TC n' + str(line_idx))
# add power balance
load_level = market.load_level
gen_level = sum([np.sum(pg[i]) for i in range(market.Ng)])
opt_model.addConstr(gen_level == load_level[t], name="balance")
opt_model.setObjective(obj, gb.GRB.MINIMIZE)
opt_model.optimize()
if opt_model.Status == 2:
for idx, gen in enumerate(market.genco):
gen.T_pg.append(pg[idx].X)
for idx, line in enumerate(market.Line):
line.T_Lf.append(line_flow[idx].getValue())
# LMP and dispatched settlements
lamda = opt_model.getConstrByName('balance').Pi
LMP = np.zeros([1, market.Nb])
for b, ld in enumerate(market.load):
LMP[0, b] = lamda
for l, line in enumerate(market.Line):
ng = opt_model.getConstrByName('TC n' + str(l)).Pi
po = opt_model.getConstrByName('TC p' + str(l)).Pi
LMP[0, b] += market.PTDF[l, b]*(ng-po)
market.LMP = LMP
market.T_LMP.append(LMP)
for gen in market.genco:
gen.T_revenue.append(LMP[0, int(gen.bus-1)]*gen.T_pg[t])
for idx, ld in enumerate(market.load):
ld.T_revenue.append(-LMP[0, idx]*ld.P)
else:
for idx, gen in enumerate(market.genco):
gen.T_pg.append([])
gen.T_revenue.append([])
for idx, line in enumerate(market.Line):
line.T_Lf.append([])
for idx, ld in enumerate(market.load):
ld.T_revenue.append([])
market.T_LMP.append([])
market.LMP = []
del opt_model
def unit_commitment(market):
make_Bdc(market)
make_PTDF(market)
opt_model = gb.Model(str(market.Type) + 'Unit Commitment')
pg = {}
status = {}
comm_up = {}
comm_down = {}
obj = 0
for t in range(market.N_T):
gen_bus = np.zeros([len(market.genco), 1])
# add pg cap and obj
for idx, gen in enumerate(market.genco):
gen_bus[idx] = gen.bus
pg[t, idx] = opt_model.addVar(name='T_' + str(t) + 'P_g' + str(idx), vtype=gb.GRB.CONTINUOUS)
status[t, idx] = opt_model.addVar(name='T_' + str(t) + 'Status' + str(idx), vtype=gb.GRB.BINARY)
comm_up[t, idx] = opt_model.addVar(name='T_' + str(t) + 'comm_up' + str(idx), vtype=gb.GRB.BINARY)
comm_down[t, idx] = opt_model.addVar(name='T_' + str(t) + 'comm_down' + str(idx), vtype=gb.GRB.BINARY)
# commit key: if 1 then 0/1; if 2 then 1 Must_run_unit
if gen.commit_key == 2:
opt_model.addConstr(status[t, idx] == 1)
elif gen.commit_key == 3:
opt_model.addConstr(status[t, idx] == 0)
# min down time
if t <= gen.min_dowm-1:
if gen.status == 0:
opt_model.addConstr(status[t, idx] == 0)
elif t >= gen.min_dowm:
if t != 0:
opt_model.addConstr((sum([comm_up[t-i, idx] for i in range(gen.min_dowm-1)])) <= 1-status[t-gen.min_dowm, idx])
if t <= gen.min_up-2:
if gen.status == 1:
opt_model.addConstr(status[t, idx] == 1)
elif t >= gen.min_up-1:
if t != 0:
opt_model.addConstr((sum([comm_up[t-i, idx] for i in range(gen.min_up-1)])) <= status[t, idx])
# state transition constraint
if t == 0:
opt_model.addConstr(status[t, idx] - gen.status == comm_up[t, idx]-comm_down[t, idx])
else:
opt_model.addConstr(status[t, idx] - status[t-1, idx] == comm_up[t, idx]-comm_down[t, idx])
# ramp
if t >= 1:
opt_model.addConstr(pg[t, idx] - pg[t-1, idx] <= gen.ramp_up, #gen.T_ramp_up[t],
name='T_' + str(t) + 'ramp_up' + str(idx))
opt_model.addConstr(pg[t, idx] - pg[t-1, idx] >= -gen.ramp_down, #gen.T_ramp_down[t],
name='T_' + str(t) + 'ramp_down' + str(idx))
# power capacity
opt_model.addConstr(pg[t, idx] <= gen.pmax*status[t, idx], name='T_' + str(t) + 'Capacity_max' + str(idx))
opt_model.addConstr(pg[t, idx] >= gen.pmin*status[t, idx], name='T_' + str(t) + 'Capacity_min' + str(idx))
# obj
cost = gen.bids
no_load_c = 0 #gen.T_no_load[t]
start_up_c = 0 #gen.T_no_load[t]
obj += pg[t, idx]*cost+status[t, idx]*no_load_c+comm_up[t, idx]*gen.start_up+comm_down[t, idx]*gen.shut_down
# add line flow cons
line_flow = {}
for line_idx, line in enumerate(market.Line):
line_flow[t, line_idx] = 0
for bus_idx in range(market.Nb):
load = market.load[bus_idx].T_P[t]
line_flow[t, line_idx] = line_flow[t, line_idx] + market.PTDF[line_idx, bus_idx] * (-load)
line_flow[t, line_idx] = line_flow[t, line_idx] + market.PTDF[line_idx, bus_idx] *\
sum([pg[t, x] for x in sum(np.where(gen_bus == bus_idx + 1))])
opt_model.addConstr(line_flow[t, line_idx] <= line.rating, name='T_' + str(t) + 'TC_p' + str(line_idx))
opt_model.addConstr(line_flow[t, line_idx] >= -line.rating, name='T_' + str(t) + 'TC_n' + str(line_idx))
# add power balance
load_level = market.load_level
gen_level = sum([np.sum(pg[t, i]) for i in range(market.Ng)])
opt_model.addConstr(gen_level == load_level[t], name='T_' + str(t) + 'balance')
opt_model.update()
opt_model.setObjective(obj, gb.GRB.MINIMIZE)
opt_model.optimize()
for idx, gen in enumerate(market.genco):
for t in range(market.N_T):
gen.T_status.append(int(status[t, idx].x))
market.UC_result = 1
def real_time(market):
for t in range(market.N_T):
db.ex_ante_attack(market)
for bus_idx in range(market.Nb):
market.load[bus_idx].P = market.load[bus_idx].T_P[t]
ecnomic_dispatch(market)
P_cog_list = []
N_cog_list = []
for line_idx, line in enumerate(market.Line):
if abs(line.opt_fl - line.rating) <= 0.00001:
P_cog_list.append(line_idx)
if abs(line.opt_fl+line.rating) <= 0.00001:
N_cog_list.append(line_idx)
db.ex_post_attack(market)
d_pg_down = -2
d_pg_up = 0.01
opt_model = gb.Model(str(market.Type) + 'Ex_post_pricing')
pg = {}
obj = 0
gen_bus = np.zeros([len(market.genco), 1])
# add pg cap
for idx, gen in enumerate(market.genco):
gen_bus[idx] = gen.bus
if gen.opt_pg >= -d_pg_down:
pg[idx] = opt_model.addVar(name='Pg' + str(idx), vtype=gb.GRB.CONTINUOUS, lb=d_pg_down, ub=d_pg_up)
else:
pg[idx] = opt_model.addVar(name='Pg' + str(idx), vtype=gb.GRB.CONTINUOUS, lb=-gen.opt_pg, ub=d_pg_up)
if gen.bid_type == 2:
cost = gen.bids
obj += pg[idx] * cost
elif gen.bid_type == 3:
cost = gen.bids
obj += (pg[idx] * pg[idx]) * cost[0] + pg[idx] * cost[1] + cost[2]
# add line flow cons
line_flow = {}
for line_idx, line in enumerate(market.Line):
if line_idx in P_cog_list:
line_flow[line_idx] = 0
for bus_idx in range(market.Nb):
line_flow[line_idx] = line_flow[line_idx] + market.PTDF[line_idx, bus_idx] *\
sum([pg[x] for x in sum(np.where(gen_bus == bus_idx + 1))])
opt_model.addConstr(line_flow[line_idx] <= 0, name='TC p' + str(line_idx))
if line_idx in N_cog_list:
line_flow[line_idx] = 0
for bus_idx in range(market.Nb):
line_flow[line_idx] = line_flow[line_idx] + market.PTDF[line_idx, bus_idx] * \
sum([pg[x] for x in sum(np.where(gen_bus == bus_idx + 1))])
opt_model.addConstr(line_flow[line_idx] >= 0, name='TC n' + str(line_idx))
# add power balance
gen_level = sum([np.sum(pg[i]) for i in range(market.Ng)])
opt_model.addConstr(gen_level == 0, name="balance")
opt_model.setObjective(obj, gb.GRB.MINIMIZE)
opt_model.optimize()
if opt_model.Status == 2:
# LMP and dispatched settlements
lamda = opt_model.getConstrByName('balance').Pi
LMP = np.zeros([1, market.Nb])
for b, ld in enumerate(market.load):
LMP[0, b] = lamda
po = 0
ng = 0
for l, line in enumerate(market.Line):
if l in P_cog_list:
po = opt_model.getConstrByName('TC p' + str(l)).Pi
LMP[0, b] += market.PTDF[l, b] * (-po)
if l in N_cog_list:
ng = opt_model.getConstrByName('TC n' + str(l)).Pi
LMP[0, b] += market.PTDF[l, b] * ng
market.LMP = LMP
market.RT_LMP.append(LMP)
for gen in market.genco:
gen.T_revenue.append(LMP[0, int(gen.bus-1)]*gen.T_pg[t])
for idx, ld in enumerate(market.load):
ld.T_revenue.append(-LMP[0, idx]*ld.P)
else:
for idx, gen in enumerate(market.genco):
gen.T_pg.append([])
gen.T_revenue.append([])
for idx, line in enumerate(market.Line):
line.T_Lf.append([])
for idx, ld in enumerate(market.load):
ld.T_revenue.append([])
market.RT_LMP.append([])
market.LMP = []
del opt_model