Interior Point Method Meritorious Optimal Scheduling Of Reduced-order Method And Applied Research

With the enlargement of the system's dimension and the enhancement of the automation's level, It is rigorous both in the time and scale for the decision-making of the optimal power dispatch. It is obviously meaningful for this thesis to choose this topic.Based on the work of the predecessor and after reading a lot of documents about the optimal power dispatch problem, this thesis lays emphasis on the following several important problems: Firstly, the network flow model that is based on the dc power flow is used to make the power in the branch obviously expressed. Secondly, the KCL and KVL laws and their combination are deeply digged. Thirdly, the interior method especially for the quadratic programming is deeply analyzed and coped well to apply to the research problem. The main work in this thesis is listed as follows:(1) A large sparse linear system must be solved during its iteration when using interior point method to solve the optimal active power dispatch problem. The speed of the algorithm and the scale of the problem just depend on this linear system. This thesis reduces the dimension of the linear system by using the electric network law. The original linear system dimension can be reduced to the number of buses after primary derivation. Moreover, by the analysis of the variable matrix element formed, the Sherman-Morrison- Woodbury equation is used to reduce more linear system dimension to the number of units participated. So, the speed of calculations is quick obviously. Therefore, the method proposed in this thesis has a good adaptation for the solution of speed and size to the optimal active power dispatch problem.(2) The speed of the interior method that is especially used to solve the quadratic programming has certain relationship with the sparsity of the basic network loop reactance matrix. Based on the theory of the topology, this thesis puts forwards a method to get the relatively sparser loop reactance matrix.(3) For the variant of the branch, this thesis uses two network models based on the...