Prob. 1 (100pt) Consider the power system shown in Fig. 1. The system has four bus with two generators and two loads, an

[answerhappygod]

Prob 1 100pt Consider The Power System Shown In Fig 1 The System Has Four Bus With Two Generators And Two Loads An 1 (59.13 KiB) Viewed 35 times

Prob 1 100pt Consider The Power System Shown In Fig 1 The System Has Four Bus With Two Generators And Two Loads An 2 (139.52 KiB) Viewed 35 times

Prob. 1 (100pt) Consider the power system shown in Fig. 1. The system has four bus with two generators and two loads, and the resistance and reactance of all transmission lines are zero. Further, all transmission lines have no power/voltage limit. An Lambda: 59.00 /MWh TH slack 60 MW O Mvar AIT OTS 80 MW -0 Mvar 40 MW O Mvar 100 MW O Mvar Figure 1: System for Prob. 1. In this problem, we aim at solving the following economic dispatching problem min C(P) + C(P) s.t. Pi + P = L3 + L4 30MW <P < 100MW (1) 25MW <P, < 80MW (2) Here P, and P, are active power output of generator 1 and 2, respectively. Lz and LA are active power consumption of loads on bus 3 and bus 4, respectively. C(P) and
C(P) are the generators' cost functions and they are given as : C(P) = 0.05P+0.421 + 10P. + 25 C(P) = 0.02P3 +0.1P3 + 30P, + 20 We consider the following three scenarios in this problem: (I) L3 = 20MW, LA = 40MW (II) L3 = 40MW, L4 = 80MW (III) L3 = 40MW, LA 100MW = (a) (20pt) First we ignore the power limit constrains (1) and (2). Determine the optimal power output for each generator, the incremental operating cost and the total operating cost under the scenario (I). (b) (40pt) Now we consider the economic dispatching problem of all three scenarios (1)-(III) with the generator power limit constrains (1) and (2) taken into account. Implement a Lambda-iteration algorithm in MATLAB to solve the three prob- lems. (c) (40pt) Carry out a simulation using Power World simulator (When setting up the Power World simulation, you should enable the Economic Dispatch control option, for more detailed introduction, please refer to Tutorial_For HW6.pdf on elearn- ing.) For each scenario, record the power output of generators and its incremental cost(Take a screen shot, and you should submit them in your solution). Compare the Power World simulator result with the matlab simulation result. wind power generator on bus 4, a local generator on bus 5 and a load on bus 6. generator and wind power generator, you want to tune the output of the local generator to minimize the total cost for the microgrid in four slots. In other words, you want to solve the following optimization problem. generator, respectively. C (PG) is the cost function for the local generator and Ci(t) is the unit cost for the external generator at time t. C, is the peak price and Pp(t) is the active power demand for the load at time slot t. C2(PG) = p2 + 20P+30 The unit cost C (t) for external generator is time varying, which is given as: wind power generator and the local generator). Run the time step simulation and load the file 'Ass6 2.tsb', which contains the active power output of solar power generator, wind power generator and the active power demand of the load at each time slot. You can specify the active power output of local generator first and then run the simulation, use the result to compute the cost for the microgrid by hand. Try your best to minimize the cost. the corresponding total cost for the microgrid.