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| 摘要: |
| 提出基于仿射变换的内点算法求解大规模电力系统可靠性评估。首先，给出了基于仿射变换的内点算法原理和计算步骤，用Fortran语言编写了求解最小切负荷子程序，在使用时需要把电力系统切负荷模型化为标准形式。为验证该算法的有效性，采用IEEE-RTS系统为例，用蒙特卡洛(Monte-Carlo)法模拟系统状态，用直流潮流进行状态评估，对于超负荷故障状态进行有功优化调整。采用基于仿射变换的内点算法求解最小切负荷量。计算结果表明，采用基于仿射变换的内点算法求解最小切负荷量过程中，最大迭代次数为16次，最小迭代次数为3次。该方法不仅适用于求解大规模电力系统的有功调整优化，也适于其他大型线性规划问题。系统规模越大，迭代次数的优势越明显。 |
| 关键词: 仿射变换 内点算法 有功优化 最小切负荷模型 |
| DOI： |
| 分类号:TM744 TM732 |
| 基金项目: |
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| Interior point algorithm using similar mapping transformation and its application in power system reliability estimation |
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HE Guo-feng TAN Zhen-yu
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| Abstract: |
| The interior point algorithm using similar mapping transformation is applied to reliabilityevaluation of power system. Its theory and method are introduced. The subordinate program of mi-nimum load shedding is written with Fortran. The minimum load shedding model of power system is converted into standard norm of linear programming before the program is applied. IEEE-RTS system is taken as an example to testify the effectiveness of the algorithm. Monte Carlo method is used to simulate system states and direct current flow model is used to evaluate the states. The interior point algorithm is applied to calculate the minimum curtailment load in active power optimization to treat the abnormal state resulting in overload. It shows that the maximum iterate times is sixteen and the minimum is three. The interior point algorithm may also apply to large-scale linear programming. The larger the system scale is,the more obvious the advantage is. |
| Key words: similar mapping transformation,interior point algorithm,active power optimization,minimum load shedding model |
