【作者】 武鹏；

【导师】 程浩忠；

【作者基本信息】 上海交通大学 ， 电力系统及其自动化， 2009， 博士

【摘要】 电网规模的不断增大和电力系统的市场化改革给电网规划工作带来了很多的不确定性。传统确定性因素下的输电网规划方法得到的规划方案对未来年不确定性环境的适应性较低。本文基于灵活规划的思想,针对目前输电网灵活规划研究中存在的问题,着重研究了考虑不确定因素的系统安全性判定方法和系统性能评价指标,建立了适合不同要求的输电网灵活规划新模型,完善了考虑不确定因素的输电网灵活规划理论。其主要成果如下:1)建立了区间最小切负荷模型,证明了该模型最优解的存在性,求解此模型能够精确求得区间负荷下区间最小切负荷量的全局最优解,为区间负荷下的电力系统安全性评估提供了新的思路。求解时将该模型分解为基于双层线性规划模型的区间至多切负荷模型和基于线性规划模型的区间至少切负荷模型两个子模型,分别求解两个子模型即可求得区间最小切负荷量的区间上下限值。2)使用参数线性规划的相关理论,证明了区间至多切负荷量所对应负荷取值的负荷边界特性,利用此特性并结合双层线性规划理论,提出了改进的分支定界算法,可快速准确求得系统的区间至多切负荷量,大大缩短了区间不确定信息下系统安全性的判定时间。3)建立了区间负荷下的输电网灵活规划模型,求解该模型得到满足区间负荷下系统安全性的输电网规划方案。结合区间最小切负荷的相关理论,使用改进的贪婪随机自适应搜索算法可快速有效的求解该模型。4)建立了模糊负荷下基于可信性理论的输电网灵活规划模型,引入可信度指标来评价模糊不确定信息下系统的性能,该指标具有严格的数学基础和物理意义。证明了可信度指标等价定理,得到给定可信度指标下的等效区间输电网灵活规划模型,可直接使用区间输电网灵活规划理论对该模型进行分析求解。5)建立了考虑线路负载率和可用传输能力的输电网灵活规划模型,通过引入线路负载率约束和可用传输能力约束来应对未来年负荷增长大小和地点的不确定性,新模型无需对未来年的不确定因素进行详细建模,易于求解并可处理系统中区域负荷增长的不确定性。6)建立了考虑发电备用容量的输电网灵活规划模型,通过在模型中引入发电机故障约束和负荷增长约束,确保系统在出现发电机故障或负荷不确定性增长时,网络有足够的可用传输容量来传输系统中的发电备用以满足考虑不确定因素的系统安全性要求。通过Garver-6节点系统和某实际地区77节点系统算例的分析和比较,说明了本文研究成果的可行性、有效性和适用范围。更多还原

【Abstract】 The enlargement of power grid and revolution of power market bring many uncertainties into the transmission network expansion planning problem. The planning scheme solved by the traditional transmission expansion planning model under certain information doesn’t have enough adaptability for future uncertain environment. Based on the idea of transmission network flexible planning, this dissertation studies the safety evaluation index and method of the system considering uncertain factors, builds some new transmission network flexible planning models that can be used for different requirements under uncertain environment and perfects the transmission network flexible planning theory. The main results in this dissertation are as follows:1) The interval minimum load cutting model is built and proved to have optimal solution. After solving this model, the precise global optimal solution of the interval minimum load cutting number can be gotten. The proposed interval analysis method starts a new way for the safety evaluation work of power system under interval information. When solving the interval planning model, it is decoupled into two sub-models that are solved separately. One is the interval most minimum load cutting model that is based on bilevel linear programming model, the other is the interval least minimum load cutting model that is based on linear programming model. After solving these two models, the upper and lower limits of the interval minimum load cutting number can be gotten.2) Using parametric linear programming theory, the“load edges”characteristic existing in the interval most minimum load cutting problem is proved. Using this characteristic and combing the bilevel linear programming theory, the improved branch-and-bound algorithm is proposed. Using this algorithm, the interval most minimum load cutting number can be solved quickly and precisely, and the time to evaluate the safety of power system under interval information can be greatly reduced.3) The transmission network flexible planning model under interval load is built. After solving this model, the planning scheme that is safe under interval load can be gotten. Combing the theory of interval minimum load cutting problem, the improved greedy randomized adaptive search procedure (GRASP) is used to solve this model. The improved GRASP is adaptive to solve the transmission network flexible planning model under uncertain information and improves a lot in calculation speed.4) The transmission network flexible planning model based on credibility theory when the load is fuzzy uncertain is built. The credibility index, which has strict mathematic base and realistic physical meaning, is introduced to evaluate the performance of the system under fuzzy information. Furthermore, the equivalent credibility theorem is proposed and proved. By this theorem, the fuzzy planning model based on credibility theory can be converted into the equivalent interval planning model which can be solved much easier.5) The transmission network flexible planning model considering the line loadability and zone available transfer capability is built. By including the line loadability constraint and zone available transfer capability constraint, the new planning model can better accommodate the load increasing magnitude uncertainty and location uncertainty.6) The transmission network flexible planning model considering the power reserve is built. By including the constraints of generator failure and load increment, the planning scheme solved from the new model can make certain that it is able to transfer the power reserve to maintain the safety of the system when there are generator uncertain failure and load uncertain increment.Analysis and comparison on the Garver 6-node system and a real 77-node system prove the feasibility, validity and applicability of returns of this dissertation.更多还原