Modeling and Formulation of Delayed Cyber-Physical Power System for Small-Signal Stability Analysis and Control

被引:33
作者
Ye, Hua [1 ]
Liu, Kehan [1 ]
Mou, Qianying [1 ]
Liu, Yutian [1 ]
机构
[1] Shandong Univ, Minist Educ, Key Lab Power Syst Intelligent Dispatch & Control, Jinan 250061, Shandong, Peoples R China
关键词
Cyber-physical power system; delayed differential algebraic equation; delayed differential equation; eigen-analysis; small signal stability; time delay; wide-area damping control; wide-area measurement system; DIFFERENTIAL-ALGEBRAIC EQUATIONS; EIGEN-ANALYSIS; INCLUSION; DESIGN;
D O I
10.1109/TPWRS.2018.2890540
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
Modeling and formulation of a delayed cyber-physical power system (DCPPS) are the basis of small-signal stability analysis and control synthesis of the system. First, a logic describing the interconnections between various systems of delayed differential algebraic equations (DDAEs) and delayed differential equations (DDEs) is established. It clearly shows the transformation of the most general DDAEs of the non-index-1 Hessenberg form to the widely used DDEs with finite terms of actual delays. Second, the DDAE model of the index-1 Hessenberg form is formulated in detail for DCPPS, which features in preserving the inherent sparsity in system's augmented state matrix. Exploiting the sparsity guarantees the scalability in stability analysis and controller design of a large DCPPS. Third, three delay merge properties are presented with complete proofs, which indicate that the feedback and control delays in one control loop can be treated as one single time delay. The properties facilitate modeling and formulating DCPPS. Last, numerical studies are carried out on a real-life large DCPPS with wide-area damping controllers embedded. Test results validate the correctness of the presented theoretical backgrounds.
引用
收藏
页码:2419 / 2432
页数:14
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