NDLI: Static voltage stability margin calculation of power systems with high wind power penetration based on the interval optimisation method

Content Provider	IET Digital Library
Author	Lin, Shunjiang Yang, Yuerong Liu, Mingbo Xie, Yuquan Lu, Yuan
Abstract	Calculation of the static voltage stability margin (SVSM) of a power system with high wind-power penetration requires consideration of the uncertain fluctuation of wind farms' (WFs') output. Using interval numbers to describe the uncertain WF output fluctuation and based on the interval optimisation theory, a new SVSM interval calculation method is proposed. The method establishes two bi-level optimal power flow (OPF) models to calculate the SVSM interval, including a min–min model for the upper bound and a max–min model for the lower bound. Through the dual theory of convex programming, the max–min model is transformed into a max–max model, which is solved by transforming it into a one-layer optimisation model. Using correlation angles to describe the correlation of different WF output intervals and using linear transformation to decorrelate them into independent intervals, two bi-level OPF models of calculating the SVSM interval considering different WFs' correlation are established. Take the IEEE-39 bus system and an actual 964-bus provincial power grid as examples, compared with the Monte-Carlo method and the continuous power flow and affine interval integrated method, the results indicate the proposed method obtains more accurate SVSM interval and has better calculation efficiency.
Starting Page	1728
Ending Page	1737
Page Count	10
ISSN	17521416
Volume Number	14
e-ISSN	17521424
Issue Number	Issue 10, Jul (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-rpg/14/10
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-rpg.2019.1115
Journal	IET Renewable Power Generation
Publisher Date	2020-04-03
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	964-bus Provincial Power Grid Affine Interval Integrated Method Bi-level OPF Model Bi-level Optimal Power Flow Model Continuous Power Flow Control of Electric Power System Convex Programming High Wind Power Penetration IEEE-39 Bus System Interval Optimisation Method Interval Optimisation Theory Linear Transformation Load Flow Max–min Model Minimax Technique Monte Carlo Method Monte-Carlo Method One-layer Optimisation Model Optimisation Technique Power Grid Power System Power System Control Power System Economics Power System Managemen Power System Operation Power System Stability Stability in Control Theory Static Voltage Stability SVSM Interval Wind Farm Wind Power Plant Wind-power Penetration
Content Type	Text
Resource Type	Article
Subject	Renewable Energy, Sustainability and the Environment

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