ORION, minimizing reactive compensation on the electricity transmission system

Contingency Constrained VAr Planning Using Penalty Successive Conic Programming

“…This creates an enormous optimization problem. A VAr planning solution for each system state can be obtained via an OPF program, an example of which is Optimization of Reactive compensation Installed On the Network (ORION) [17]. What is required is to be able to optimize the compensation over all credible system states so that the cooperative effect of VAr installations for the different states is leveraged, thus allowing the computation of a truly minimum solution.…”

“…Han and Mangasarian [24] also give a value for : Under the second-order sufficiency conditions, the above theorem is valid for , where is a Kuhn-Tucker point of problem (17). With the above conditions, Fletcher [25] demonstrates the converse: If solves (18) and is feasible to (17), then solves (17). In practice, the conditions under which equivalence holds are usually satisfied [25].…”

Optimization of Reactive Power Expansion Planning

“…More systematic solution methods that are based on optimization techniques have since been developed. These techniques include different variations of successive linear programming (SLP) [1][2][3] and successive quadratic programming (SQP) [4]; however, integer variables, which are desirable to model discrete sizes and fixed costs, were not handled in [1][2][3][4]. An approach that is capable of handling such variables is Bender's decomposition [5].…”

“…Unlike the AI/hybrid methods [9][10][11][12][13][14][15], which are limited to a single network configuration, both the hybrid window schema simulated annealing approach in [16] and the evolutionary particle swarm optimization in [17] consider contingency cases; testing was, however, demonstrated on a single contingency case. References [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] were concerned with correcting the voltage profile and did not include constraints on voltage stability. Reactive power planning formulations that guard against voltage collapse were more recently proposed in [18][19][20][21][22].…”

“…Although SLP procedures were among the first methods applied in OPF-type applications, many of them are not based on a rigorous proof of convergence. However, their performance is satisfactory when coupled with logic for reduction and an increase in step bounds [2]. This article employs an improved SLP algorithm called penalty SLP (PSLP).…”