@article{dup-yan-cao-zha-yan-20-aa-acdc, author = {Du, Pingjing and Yang, Ming and Cao, Liangjing and Zhai, Hefeng and Yang, Jiajun}, title = {Affine Power Flow Algorithm for {AC}/{DC} Systems with Voltage Source Converter}, journal = {Transactions of China Electrotechnical Society}, year = 2020, volume = {35}, number = {5}, pages = {1106-1117}, month = mar, doi = {10.19595/j.cnki.1000-6753.tces.190351 }, url = {http://dgjsxb.ces-transaction.com/CN/article/downloadArticleFile.do?attachType=PDF&id=6382}, note = {In Chinese.}, comment = {Uses AA to evaluate power flow in an AC/DC grid with uncertain supply.}, abstract = {In this paper, an affine arithmetic based AC/DC system power flow algorithm is proposed to provide a conservative estimation result when the injection power of the system is uncertain. The impacts of each uncertain variable on the system state variables can also be calculated. Firstly, the affine calculation method of the trigonometric function was proposed. And then the uncertain power flow model of the AC/DC system with voltage source converter (VSC) based on affine arithmetic was established. The VSC nodes were equivalent to different types of AC nodes and DC nodes respectively to correspond the solutions of AC and DC power flow models. Furthermore, the fast-decoupled method was used to solve the sequential AC/DC affine power flow. Finally, the effectiveness and rapidity of the proposed algorithm were verified by case studies. And the impacts of the uncertain variables on the system state variables of AC/DC systems were also be given.} }