CAJ | 학술논문

针对交直流混联系统的状态估计问题，分析了其数学模型，对其求解方法进行了研究，并开发了软件。介绍了交直流混联系统的抗差状态估计模型，根据该模型的特点进行变量等价转换，以降低其复杂度。在利用内点法进行求解时，通过对原问题的海森矩阵进行近似，确保其正定且提升了算法的效率。通过IEEE 9节点、14节点、30节点、118节点、145节点系统这5个算例，分析了算法效率以及收敛域。结果表明，与牛顿法相比，基于内点法的状态估计的收敛域更宽广，可以应对更恶劣的现场状况，具备现场应用潜力。
침대교직류혼련계통적상태고계문제，분석료기수학모형，대기구해방법진행료연구，병개발료연건。개소료교직류혼련계통적항차상태고계모형，근거해모형적특점진행변량등개전환，이강저기복잡도。재이용내점법진행구해시，통과대원문제적해삼구진진행근사，학보기정정차제승료산법적효솔。통과IEEE 9절점、14절점、30절점、118절점、145절점계통저5개산례，분석료산법효솔이급수렴역。결과표명，여우돈법상비，기우내점법적상태고계적수렴역경관엄，가이응대경악렬적현장상황，구비현장응용잠력。
A robust SE model is introduced for AC/DC hybrid system. First, to simplify its formulation, the SE model is transformed into an equivalent form by introducing equality constraints and new variables. In this model, the hybrid system is formulated as a whole. Then, an interior point method is used to solve this problem. And an approximating technique is proposed to guarantee the Hessian matrix positive definite, which can significantly improve the efficiency of the solution. Five numerical tests with IEEE 9 node system, IEEE 14 node system, IEEE 30 node system, IEEE 118 node system, and IEEE 145 node system show that the proposed algorithm is efficient, robust and reliable. It has the potential to be applied in real application.