Topology Identification in Distribution Systems Using Line Current Sensors: An MILP Approach

被引:95
作者
Farajollahi, Mohammad [1 ]
Shahsavari, Alireza [1 ]
Mohsenian-Rad, Hamed [1 ]
机构
[1] Univ Calif Riverside, Dept Elect & Comp Engn, Riverside, CA 92521 USA
基金
美国国家科学基金会;
关键词
Current measurement; Voltage measurement; Topology; Power measurement; Switches; Network topology; Pollution measurement; Topology identification; line current sensors; distribution network; mixed integer linear program; single-period and multi-period optimization; radial topology; loop topology; STATE ESTIMATION; LOAD; STATUSES; FLOW;
D O I
10.1109/TSG.2019.2933006
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
This study is motivated by the recent advancements in developing non-contact line sensor technologies that come at a low cost, but have limited measurement capabilities. While they are intended to measure current, they cannot measure voltage and power. This poses a challenge to certain distribution system applications, such as topology identification (TI), because they commonly use voltage and power measurements. To address this open problem, a new TI algorithm is proposed based on measurements from a few line current sensors, together with available pseudo-measurements for nodal power injections. A TI problem formulation is first developed in the form of a mixed integer nonlinear program (MINLP). Several reformulation steps are then adopted to tackle the nonlinearities to express the TI problem in the form of a mixed integer linear program (MILP). The proposed method is able to identify all possible topologies, including radial, loop, and island configurations, which extends the application of TI to identify switch malfunctions and to detect outages. In addition, recommendations are made with respect to the number and location of the line current sensors to ensure performance accuracy of the TI method. A novel multi-period TI algorithm is also proposed to use multiple measurement snapshots to improve the TI accuracy and robustness against errors in pseudo-measurements. The effectiveness of the proposed TI algorithms is examined on the IEEE 33-bus test case as well as a test case based on a real-world feeder in Riverside, CA.
引用
收藏
页码:1159 / 1170
页数:12
相关论文
共 54 条
[1]  
ABUR A, 1995, IEEE INT SYMP CIRC S, P1127, DOI 10.1109/ISCAS.1995.521611
[2]  
[Anonymous], 2014, Convex Optimiza- tion
[3]  
[Anonymous], 2004, MATH ANAL I
[4]  
Arghandeh Reza, 2015, 2015 IEEE Power & Energy Society General Meeting, P1, DOI 10.1109/PESGM.2015.7286053
[5]  
Ash R.B., 2015, Complex Variables
[6]   NETWORK RECONFIGURATION IN DISTRIBUTION-SYSTEMS FOR LOSS REDUCTION AND LOAD BALANCING [J].
BARAN, ME ;
WU, FF .
IEEE TRANSACTIONS ON POWER DELIVERY, 1989, 4 (02) :1401-1407
[7]   Progress in computational mixed integer programming - A look back from the other side of the tipping point [J].
Bixby, Robert ;
Rothberg, Edward .
ANNALS OF OPERATIONS RESEARCH, 2007, 149 (01) :37-41
[8]   Distributed Reactive Power Feedback Control for Voltage Regulation and Loss Minimization [J].
Bolognani, Saverio ;
Carli, Ruggero ;
Cavraro, Guido ;
Zampieri, Sandro .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (04) :966-981
[9]  
Bolognani S, 2013, IEEE DECIS CONTR P, P1659, DOI 10.1109/CDC.2013.6760120
[10]   An algorithmic framework for convex mixed integer nonlinear programs [J].
Bonami, Pierre ;
Biegler, Lorenz T. ;
Conna, Andrew R. ;
Cornuejols, Gerard ;
Grossmann, Ignacio E. ;
Laird, Carl D. ;
Lee, Jon ;
Lodi, Andrea ;
Margot, Francois ;
Sawaya, Nicolas ;
Wachter, Andreas .
DISCRETE OPTIMIZATION, 2008, 5 (02) :186-204