Add basic_example

basic_example

@@ -0,0 +1,76 @@
+from pyomo.environ import *
+from numpy import *
+import matplotlib.pyplot as plt
+
+# model
+model = ConcreteModel()
+
+# Set
+model.t = Set(initialize=[1, 2, 3, 4], doc='time')
+
+# Parameter
+model.pb = Param(model.t, initialize={1: 3, 2: 1, 3: 2, 4: 4}, doc='Base load')
+model.c = Param(model.t, initialize={1: 0.5, 2: 0.1, 3: 1, 4: 0.3}, doc='Cost ')
+model.dt = Param(initialize=1, doc='time duration ')
+# Variable
+
+model.pl = Var(model.t,bounds=(0, None)) #todo example: 2
+# model.pl = Var(RangeSet(1, 4),bounds=(0, 3)) #todo example: 3
+# model.pl = Var(RangeSet(1, 4),bounds=(0, 3)) #todo example: 4
+# Constraints
+model.c1 = Constraint(expr=sum([model.pl[i] for i in model.t]) * model.dt == 8)
+
+# Objective
+
+model.obj = Objective(expr=sum([(model.pb[i] + model.pl[i]) * model.c[i] for i in model.t]) * model.dt)
+
+# Solve
+
+opt = SolverFactory('cplex')
+result = opt.solve(model)
+print(result)
+# model.display()
+# model.pprint()
+
+# print variables
+
+
+# print('------------Countable variable Solution------------------------')
+for i in model.t:
+    print('x[%i] = %i' % (i, value(model.pl[i])))
+print('objective function = ', value(model.obj))
+
+# Plotting
+time = []
+pbase = []
+pload = []
+cost = []
+
+for ll in range(len([model.t, model.pb, model.pl, model.c])):
+    if ll == 0:
+        for i in model.t:
+            time.append(value(model.t[i]))
+    elif ll == 1:
+        for i in model.pb:
+            pbase.append(value(model.pb[i]))
+    elif ll == 2:
+        for i in model.pl:
+            pload.append(value(model.pl[i]))
+    else:
+        for i in model.c:
+            cost.append(value(model.c[i]))
+
+fig, (ax0, ax1) = plt.subplots(nrows=2,ncols= 1)
+
+ax0.plot(time, pbase, 'b-', label='Base')
+ax0.plot(time, pload, 'g--', label='Controable Load')
+ptotal = [pbase[i] + pload[i] for i in range(len(pbase))]
+ax0.plot(time, ptotal, 'r', label='Total Load')
+ax0.set_ylabel('Electric power (W)')
+ax0.legend(loc='upper left')
+ax1.plot(time, cost, 'y-+', label='Cost')
+ax1.legend(loc='upper left')
+ax1.set_xlabel('Time (hour)')
+ax1.set_ylabel('Electricity price ($/W/h)')
+plt.suptitle("Energy management system-Example (4)")
+plt.show()