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Research on Main-Auxiliary Decomposition Computational Methord for the Power System Unit Commitment Problem

Author: HuangWen
Tutor: YuJiLai
School: Harbin Institute of Technology
Course: Electrical Engineering
Keywords: Main-Auxiliary Decomposition Generation Unit Commitment Optimization Economic Dispatch Load Allocation
CLC: TM744
Type: Master's thesis
Year: 2009
Downloads: 88
Quote: 0
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Abstract


Unit commitment is one of the most basic works in the field of power system economic dispatch. It can be summed up as a typical large-scale nonlinear mixed-integer programming problem. If lacks the target-oriented classified processing measure to the different constraint in the whole solution process, then it’s easy to cause the algorithm to be difficult to design and low counting yield . According to the different constraint function characteristic in unit commitment, this article discussed how to structure a new computational method through the decomposition, and then achieves the goal of reducing the algorithm design difficulty and enhancing counting yield.There has numerous constraints with different characteristic in electric power system generation unit commitment; their influence to the solution is also different. This article first comprehensively analyze each kind of the constraint’s characteristic in unit commitment, and then carry on the classification to the related constraint with different view as linear and non-linear, integer and non-integer, equality and inequality, simple variable and function constraint, gives out feasible processing countermeasure to different constraint, provides the foundation to further study to the new decomposition method.On the foundation of constraint characteristic classification and countermeasure analysis, this article proposes a kind of main-auxiliary decomposition method to solve the unit commitment problem, and design the concrete algorithm flow and computation steps. After the decomposition,the main-auxiliary problem does not only includes the original objective function, but also augments the system load balance constraints and the spinning reserve constraints into the objective function through the Lagrange multiplier’s form; the auxiliary sub-questions after decomposition includes: unit available generation capacity constraints sub-questions, unit ramp-up/ramp-down limits constraints sub-questions, unit minimum-up/minimum-down time constraints sub-questions, unit availability constraints sub-questions, network line power flow constraints sub-questions; the first two sub-questions are directly inserted into the main iterative process, the middle two sub-questions are put into the outer layer of main iterative process to carry on processing, the last one is put into the most outer layer as check of the solution. This inside and outside iterative way reduces the algorithm design difficulty, and nonessential double counting, raises the counting yield.Finally, this article use an example system contained 17 units to carry on the simulation analysis. The result indicates that: the main-auxiliary decomposition method this article proposed, because it has implemented constraints classified process, the main iterative computation difficulty is obviously reduced, the related sub-questions complexity is simplified, so it can improve the performance of the unit commitment computation, and is helpful to improve the practicality of algorithm.

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CLC: > Industrial Technology > Electrotechnical > Transmission and distribution engineering, power network and power system > Power system simulation and calculation > The calculation of the power system
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