Ni. Deeb et Sm. Shahidehpour, CROSS DECOMPOSITION FOR MULTIAREA OPTIMAL REACTIVE POWER PLANNING, IEEE transactions on power systems, 8(4), 1993, pp. 1539-1544
This paper presents a novel decomposition-based algorithm to solve the
reactive power planning problem in large scale multi-area power syste
ms. Extensive studies based on the application of the Benders decompos
ition method (BDM) have been conducted to solve this complex problem.
Nevertheless, these applications are based on the difficult evaluation
of the plane cuts from the solution of the master problem. In this pa
per, we are introducing the possibility of solving the reactive power
planning based on an iterative optimization process between the BDM su
bproblem and the subproblem of a Lagrangean relaxation decomposition m
ethod (LRDM). The overall process is referred to as a cross decomposit
ion algorithm (CDA). The merits of the proposed approach are shown by
the evaluation of plane cuts based on the solution of easy-to-solve su
bproblems. Moreover, the proposed approach is extremely efficient in m
ulti-area (zone decomposition) power systems. Test results are demonst
rated for the 3-area IEEE 30-bus and the 6-area 180-bus systems.