P11. Write down the binary connectivity matrix (BCM) for PMU placement for IEEE 30 bus system, and formulate the LP constraints. Run the code in AMPL and obtain the optimal solution of PMUs for the following system. Assume the cost of a PMU is $3000 per unit Your overall goal is to minimize the total cost of PMU while finding the optimal placement of PMUs in appropriate bus locations. Note: The buses 6, 9,11, 25, and 28 in the following figure are zero injection buses. 1. Find the optimal placement of PMUs with no zero injection constraints considered. Show binary connectivity matrix, and LP formulations. Also, compute SORI index (See class notes on SORI). 2. Find the optimal placement with zero injection constraints considered. Show binary connectivity matrix, and LP formulations. Also compute SORI index. 3. Show the AMPL run with model and data files for question 2. 29 27 28 26-25- 30 23 24 15 18 19 20 21 7 416 10 1312 19 IEEE 30 bus system