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Title: Small-signal model and stability of electric springs in power grids
Authors: Yang, Y 
Ho, SS
Tan, SC
Hui, SYR
Issue Date: Mar-2018
Source: IEEE transactions on smart grid, Mar. 2018, v. 9, no. 2, p. 857-865
Abstract: When multiple stable systems are combined into one system, the newly formed hybrid system has a certain possibility to be unstable. Such a natural phenomenon has been verified in the fields of chemistry and biology over the last century. The implementation of electric springs (ESs) in large quantity over the power grids can also suffer from the same issue if specified design are not performed. As an initial feasibility study of multiple ES in smart grids, in this paper, based on the concept of relative stability, a method of tuning Kp and Ki of the proportional-integral controllers of the ES to ensure the overall system stability of a weak grid is investigated and is achieved through the aid of simulation on an extended low-voltage (LV) network of IEEE 13-node test feeder. Both simulation and experimental results validate that as the number of ES in the isolated LV network (weak grid) increases, more stringent values of Kp and Ki are required to achieve system stability. Besides, a hypothesis that if the optimal values of Kp and Ki are adopted, a maximum number of ES can be stably installed over the grid is proposed. It is also shown experimentally that by eliminating the instability of voltage fluctuation in the distribution line, the subsequent frequency fluctuation of the power generation can also be eliminated.
Keywords: Electric spring (ES)
Low-voltage (LV) network
PI controller
Small-signal model
Smart grid
Smart-load unit
Stability
Publisher: Institute of Electrical and Electronics Engineers
Journal: IEEE transactions on smart grid 
ISSN: 1949-3053
EISSN: 1949-3061
DOI: 10.1109/TSG.2016.2569618
Rights: ©2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
The following publication Y. Yang, S. Ho, S. Tan and S. R. Hui, "Small-Signal Model and Stability of Electric Springs in Power Grids," in IEEE Transactions on Smart Grid, vol. 9, no. 2, pp. 857-865, March 2018 is available at https://doi.org/10.1109/TSG.2016.2569618.
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