Efficient sequential non-linear optimal power flow approach using incremental variables

Linear programming (LP) techniques and interior point methods (IPMs) have been used extensively for optimal power flow´s solution. Both have their merits as well as limitations. There are situations in which a technique which combines the merits of both, is desirable. This study attempts to develop this technique using the well-known compact model, with hitherto unused non-linear approximation, in terms of incremental variables. Sequential applications of this non-linear incremental model, which is solved by using any of the IPM variants, leads to solution of the original problem. It avoids the vexed step-size restrictions, so common in sequential LP techniques. This model also allows for speed-accuracy trade-off. Results for few IEEE test systems and a fictitious 1000 bus system, have been obtained to explore the potential of this technique.