On the Convergence of Newton's Method in Power Flow Studies for DC Microgrids

被引：114
作者：
Garces, Alejandro [1 ]
机构：
[1] Univ Tecnol Pereira, Dept Elect Power Engn, Pereira 660003, Colombia
来源：
IEEE TRANSACTIONS ON POWER SYSTEMS | 2018年 / 33卷 / 05期
关键词：
DC grids; load flow; Newton-Raphson; microgrids; decoupled load flow; EXISTENCE;
D O I：
10.1109/TPWRS.2018.2820430
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The power flow is a nonlinear problem that requires a Newton's method to be solved in dc microgrids with constant power terminals. This paper presents sufficient conditions for the quadratic convergence of the Newton's method in this type of grids. The classic Newton's method as well as an approximated Newton's method are analyzed in both master-slave and island operation with droop controls. Requirements for the convergence as well as for the existence and uniqueness of the solution starting from voltages close to 1 pu are presented. Computational results complement this theoretical analysis.
引用
收藏
页码：5770 / 5777
页数：8
相关论文
共 31 条
[1]  
Baldick R., 2009, APPL OPTIMIZATION FO
[2]   On Existence and Stability of Equilibria of Linear Time-Invariant Systems With Constant Power Loads [J].
Barabanov, Nikita ;
Ortega, Romeo ;
Grino, Robert ;
Polyak, Boris .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2016, 63 (01) :114-121
[3]   On the Existence and Linear Approximation of the Power Flow Solution in Power Distribution Networks [J].
Bolognani, Saverio ;
Zampieri, Sandro .
IEEE TRANSACTIONS ON POWER SYSTEMS, 2016, 31 (01) :163-172
[4]   Equivalent Relaxations of Optimal Power Flow [J].
Bose, Subhonmesh ;
Low, Steven H. ;
Teeraratkul, Thanchanok ;
Hassibi, Babak .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (03) :729-742
[5]   DC Microgrids-Part II: A Review of Power Architectures, Applications, and Standardization Issues [J].
Dragicevic, Tomislav ;
Lu, Xiaonan ;
Vasquez, Juan C. ;
Guerrero, Josep M. .
IEEE TRANSACTIONS ON POWER ELECTRONICS, 2016, 31 (05) :3528-3549
[6]  
Farasat M, 2015, IEEE ENER CONV, P3372, DOI 10.1109/ECCE.2015.7310136
[7]  
Gan LW, 2013, IEEE DECIS CONTR P, P5614, DOI 10.1109/CDC.2013.6760774
[8]   Optimal Power Flow in Direct Current Networks [J].
Gan, Lingwen ;
Low, Steven H. .
IEEE TRANSACTIONS ON POWER SYSTEMS, 2014, 29 (06) :2892-2904
[9]  
Ganesan K., 1973, International Journal for Numerical Methods in Engineering, V7, P325, DOI 10.1002/nme.1620070309
[10]  
Garces A., 2016, MATLAB CENTRAL FILE
1234