CAJ | 학술논문

随着间歇性能源接入电网，电网的潮流具有一定的随机性。考虑高压输电网中直流潮流的不确定性问题，文中提出了一种带预处理的区间 Hull(P-Hull)算法来求解区间直流潮流。该方法首先通过预处理，形成主对角占优的区间系数矩阵，然后利用区间 Hull算法得到系数 H-矩阵。为了提高结果的精度，分别利用向上近似和向下近似方法处理 H-矩阵的比较矩阵，进而采用迭代方法求得区间直流潮流分布的上下界。采用9节点系统，将文中所提出的算法与蒙特卡洛算法进行比较，揭示了误差主要受网络参数不确定性的影响。此外，采用IEEE 57和 IEEE 118节点系统分别对P-Hull算法、区间 Hull算法、Krawczyk算子迭代法以及高斯消去法在精度和计算时间上进行比较分析，可以看出P-Hull算法能够得到最高的精度，并且其时间复杂度远小于蒙特卡洛算法。
수착간헐성능원접입전망，전망적조류구유일정적수궤성。고필고압수전망중직류조류적불학정성문제，문중제출료일충대예처리적구간 Hull(P-Hull)산법래구해구간직류조류。해방법수선통과예처리，형성주대각점우적구간계수구진，연후이용구간 Hull산법득도계수 H-구진。위료제고결과적정도，분별이용향상근사화향하근사방법처리 H-구진적비교구진，진이채용질대방법구득구간직류조류분포적상하계。채용9절점계통，장문중소제출적산법여몽특잡락산법진행비교，게시료오차주요수망락삼수불학정성적영향。차외，채용IEEE 57화 IEEE 118절점계통분별대P-Hull산법、구간 Hull산법、Krawczyk산자질대법이급고사소거법재정도화계산시간상진행비교분석，가이간출P-Hull산법능구득도최고적정도，병차기시간복잡도원소우몽특잡락산법。
With intermittent sources integrated into the power grid,power flows of the power grid are getting stochastic. Considering the uncertainty problem of DC power flow in the high voltage transmission system,this paper recommends an interval Hull algorithm with preconditioning to solve the interval DC power flow.Firstly,the diagonal dominant interval coefficient matrix is formed by preconditioning,then the H-matrix is obtained using the interval Hull algorithm.Different approximation methods are employed for the comparison matrix of H-matrix to improve precision.And the upper and lower bound of the distribution of interval DC power flow is obtained with the iterative method.The interval Hull algorithm and Monte Carlo algorithm are compared in the 9-bus test system,the result of which shows that the uncertainty in grid parameters is the main cause of errors.Furthermore,the Hull algorithm with preconditioning,the interval Hull method,the Krawczyk operator iteration method and the Gauss elimination method are compared in terms of accuracy and computing time on an IEEE 57-bus and an IEEE 118-bus test system,respectively.It is shown that the Hull method with preconditioning has the best accuracy,and the time complexity is far lower than that of the Monte Carlo algorithm.