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《Proceedings of the Csee》 1987-01
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Optimal Power Flow and Optimal Reactive Power Compensation by Newton's Method

Zhang Liping He Dayu Zhu Taixiu EPRI, Ministry of Water Resources and Electric Power  
A new approch which is based on Newton's method and penalty function for the optimal power flow and reactive power compensation Is presented in this paper. Using Lag-rangian multiplier method, Hessian matrix and Jacobian matrix is solved simultaneously to get the correction of all variables. The sparse scheme is used. The inequality constraints violation is treated by penalty method. The objective function of the optimal power flow is to minimize the production cost or power loss. For optimal reactive power compensation,to maximize the saving which is the difference between power loss saving and the investment of reactive power compensation devices. The voltage constrains of all notes, real and reactive power output limits of all generators and synchronous condensers, angle difference limits between two terminals of every transmission line can be added.The advantage of this method is that it is suitable to solve large scale power system problem which has more than 500 notes. The convergence is easy to reach and it takes a few iterations. The memory requirement and computation time is comparable with power flow solution by Newton's method. It can be started from flat start without solving power flow case in advance.There is a great saving in production cost aftter using optimal power flow solution. It is possible to reduce 4-25% power loss after redispatching. For reactive power planning, the computer helps you to decide the best allocation plan for capacitors and reactors to get the maximum economic benefit, In power system dispatch center it can be used as an on-line voltage and reactive power control program to keep good voltage level.IEEE 3, 5, 11, 14,30 notes test systems and several Chinese systems(133, 328 notes) have been tested. The results show that: the performance of this method is good. It is valuable for power system planning and operation not only in economy but also in security.A decoupled mode! has been proposed. It seems that the decoupled method is faster -than others.
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