Error Bound Restriction of Linear Power Flow Model

被引：10

作者：

Fan, Zhexin ^{[1
]}

Yang, Zhifang ^{[1
]}

Yu, Juan ^{[1
]}

机构：

[1] Chongqing Univ, Coll Elect Engn, Key Lab Power Transmiss Equipment & Syst Secur, Chongqing 400044, Peoples R China

来源：

IEEE TRANSACTIONS ON POWER SYSTEMS | 2022年 / 37卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Power measurement; Taylor series; Power systems; Measurement uncertainty; Finite wordlength effects; Analytical models; Upper bound; Power flow model; linearization; error bound; truncation error;

D O I：

10.1109/TPWRS.2021.3124136

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：

Linear power flow models are widely used in power system analysis. To control the maximum influence of linearization error on decision making, it is important to evaluate the worst-case linearization error (i.e., the error bound). This letter theoretically derives the error bound of linear power flow models based on the truncation error analysis of Taylor series expansion. A cold-start approach is proposed to restrain the error bound. Case studies show that 1) the proposed error bound is tight and effective and 2) the maximum linearization error can be successfully reduced using the proposed method.

引用

页码：808 / 811

页数：4

共 10 条

[1]

[Anonymous], FIGSHARE, DOI [10.6084/m9.figshare.14484525.v8, DOI 10.6084/M9.FIGSHARE.14484525.V8]

[2]

Bolognani S, 2015, ANN ALLERTON CONF, P402, DOI 10.1109/ALLERTON.2015.7447032

[3]

Cain M. B., 2012, History of optimal power flow and formulations

[4]

Dyijotham K, 2016, IEEE DECIS CONTR P, P2411, DOI 10.1109/CDC.2016.7798623

[5] A critical review of the integration of renewable energy sources with various technologies [J].

Erdiwansyah ;

Mahidin ;

Husin, H. ;

Nasaruddin ;

Zaki, M. ;

Muhibbuddin .

PROTECTION AND CONTROL OF MODERN POWER SYSTEMS, 2021, 6 (01)

[6] Bounding Regression Errors in Data-Driven Power Grid Steady-State Models [J].

Liu, Yuxiao ;

Xu, Bolun ;

Botterud, Audun ;

Zhang, Ning ;

Kang, Chongqing .

IEEE TRANSACTIONS ON POWER SYSTEMS, 2021, 36 (02) :1023-1033

[7] DC Power Flow Revisited [J].

Stott, Brian ;

Jardim, Jorge ;

Alsac, Ongun .

IEEE TRANSACTIONS ON POWER SYSTEMS, 2009, 24 (03) :1290-1300

[8] A State-Independent Linear Power Flow Model With Accurate Estimation of Voltage Magnitude [J].

Yang, Jingwei ;

Zhang, Ning ;

Kang, Chongqing ;

Xia, Qing .

IEEE TRANSACTIONS ON POWER SYSTEMS, 2017, 32 (05) :3607-3617

[9] A General Formulation of Linear Power Flow Models: Basic Theory and Error Analysis [J].

Yang, Zhifang ;

Xie, Kaigui ;

Yu, Juan ;

Zhong, Haiwang ;

Zhang, Ning ;

Xia, Qing .

IEEE TRANSACTIONS ON POWER SYSTEMS, 2019, 34 (02) :1315-1324

[10] A Linearized OPF Model With Reactive Power and Voltage Magnitude: A Pathway to Improve the MW-Only DC OPF [J].

Yang, Zhifang ;

Zhong, Haiwang ;

Bose, Anjan ;

Zheng, Tongxin ;

Xia, Qing ;

Kang, Chongqing .

IEEE TRANSACTIONS ON POWER SYSTEMS, 2018, 33 (02) :1734-1745

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