Abstract

Large-scale wind farm (WF) constitutes dozens or even hundreds of wind turbines (WTs), making it complex and even impractical to develop each individual WT in detail when building WF model. Thus, the equivalent model of WF, with a reasonable reduction of the detailed model, is essential to be developed. In this paper, we propose a multi-view transfer clustering and stack sparse auto encoder (SSAE) based WF equivalent method, which can be used in the low voltage ride through (LVRT) analysis of WF. First, to obtain distinguishable deep-level and multi-view representation of wind turbine (WT), stack sparse auto encoder (SSAE) is used to extract features from the time series of several WT physical quantities, and these features are used as the clustering indicator (CI). Then, a multi-view transfer FCM (MVT-FCM) clustering algorithm, which combines transfer learning with multi-view FCM (MV-FCM), is put forward for WTs clustering. Two transfer rules are designed in this algorithm, and the clustering center and membership degree in the source domain are transferred to guide the clustering process of target domain samples. Finally, the calculation method of equivalent parameters is presented. To verify the effectiveness of the proposed method, a modified actual system in East Inner Mongolia of China is utilized for case study, and the performance of the proposed model is compared with several state-of-the-art models. Simulation results show that the equivalent errors of the proposed model decrease at least 3% when comparing with other models. Also, the error fluctuations are within 6% under different simulation conditions, which illustrates the well-performed robustness of the proposed model.

Highlights

  • DATA SELECTION TRANSFERRED FROM SOURCEVref,i voltage reference value of the ith wind turbines (WTs) that adopts constant voltage control

  • The installed capacity of wind turbines (WTs) would be 2.1 billion kW in China until 2020 [1]

  • Voltage dips and control modes shown in TABLE 1, a total of 5,610 low voltage ride through (LVRT) experiments are performed to acquire the active power, reactive power, voltage and current time series, which are used as the training samples of sparse auto encoder (SSAE)

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Summary

DATA SELECTION TRANSFERRED FROM SOURCE

Vref,i voltage reference value of the ith WT that adopts constant voltage control. Vref,j voltage reference value of the jth LVRT experiment that adopts constant voltage control pref,i power factor reference value of the ith WT that adopts constant power factor control pref,j power factor reference value of the jth LVRT experiment that adopts constant power factor control. Vdip,j voltage dip value of the jth LVRT experiment w1, w2, w3 weight coefficient, and w1 + w2 + w3 = 1 sij comprehensive similarity coefficient between the ith WT in WF and the jth LVRT experiment nsim a positive integer. NE,pf number of equivalent WTs that would adopt constant power factor control pE,pf,i proportion of WTs adopting constant power factor control in the ith equivalent WT. ERROR METRIC eRMSE root mean square error eMAE mean absolute error eMAPE mean absolute percentage error

INTRODUCTION
THE PROPOSED CLUSTERING METHOD MVT-FCM
DATA SELECTION TRANSFERRED FROM SOURCE DOMAIN
WTs CLUSTERING AFTER INTRODUCING SOURCE DOMAIN DATA
CALCULATION OF EQUIVALENT PARAMETERS AFTER W
CONCLUSION
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