Improvement of Maximum Load-ability of Power system by FACTS devices:Part 2

In the last part some fundamentals of this problem was discussed.In this part the modelling of the the problem is to be completed.

λ: The load-ability parameter

P_li- Scheduled real power load of ‘i’th bus

Q_li- Scheduled reactive power load of ‘i’th bus

P_gi- Generated real power of ‘i’th bus

Q_li- Generated real power of ‘i’th bus

V_i-Voltage of ‘i’th bus

LF_ij-Line Flow (MVA)of transmission line connecting buses ‘i’ and ‘j’

If a power system has 'm' generator buses, 'n' load buses and 'k' transmission lines.

The number of parameters to be determined is 'm+1'

The number of equality constraints are 2*(n+m-1)

The number of inequality constraints are 2*m+n+k

In the figure the equations are clearly written. It can be solved by any conventional or unconventional optimization algorithm.