基于量子算法的电力系统潮流计算  

Power flow system based on quantum algorithms

作　　者：白林飞 郭奋卓[1] BAI Lin-fei;GUO Fen-zhuo(School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,China)

机构地区：[1]北京邮电大学理学院,北京100876

出　　处：《哈尔滨商业大学学报（自然科学版）》2022年第6期730-734,共5页Journal of Harbin University of Commerce：Natural Sciences Edition

基　　金：国家自然科学基金(62171056)。

摘　　要：潮流计算是各种电力系统计算的核心基础.求解节点导纳矩阵和节点阻抗矩阵是电力系统潮流计算中非常重要的一步.当电力系统规模非常大时,使用经典算法来求解需要大量计算.为了解决这一计算难题,将量子计算引入到传统的电力系统分析计算中,通过对节点电压方程的转化及矩阵分块等一系列操作,利用HHL算法和量子迭代算法求解节点电压矩阵方程,然后得到节点导纳矩阵和节点阻抗矩阵.与已有的经典方法相比,量子算法使电力系统潮流计算的复杂度达到了指数级别的降低.Power flow calculation is the core foundation of various power system calculations.Obtaining the nodal admittance matrix and nodal impedance matrix plays an important role in the power flow calculation.When the scale of the power system was large,using classical algorithms to gain the matrix knowledge requires a lot of calculations.In this paper,quantum computing was introduced into the traditional power system analysis and calculation.Through certain transformation conversion and matrix block processing,HHL algorithm and quantum iterative algorithm were used to solve the node voltage matrix equation,and then obtained the nodal admittance matrix and nodal impedance matrix.Compared with the existing classical methods,using quantum algorithms to deal with power flow calculation achieved an exponential speedup.

关 键 词：量子计算 量子算法 电力系统 潮流计算 量子迭代算法 线性系统 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]