基于Carathéodory-Fejér插值定理考虑误差界的负荷建模方法

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Abstract The random perturbation of power load can influence the accuracy of load model. By considering the measurement error and random perturbation of power load as an unknown-but-bounded (UBB) error, a load modeling method was proposed based on the Hardy space theory and Carathéodory-Fejér interpolation (CFI). The load model was mapped into linear load model set with prior information in Hardy space. Consistency problem between measured data and model set was formulated to a linear matrix inequality. The feasible solution here was used to construct a high-order transfer function. Simulation results show that when the random perturbation error range from 1%~10%, the output root mean square error（RMSE）is below 0.03, and the model can still match the output well under inaccurate UBB error boundary. The variations of load composition in a certain scale have little effect on model parameters. Simulations using measured data from the phase measurement unit in a power station demonstrate the practicality and validation of the proposed method when exiting UBB error.

Key words： Load modeling error boundary linear matrix inequality Carathéodory-Fejér interpolation

Received: 14 May 2014 Published: 30 October 2015

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TM714

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	Tang Xiuming
	Yuan Rongxiang
	Chen Jun
	Peng Xiaoqi

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Tang Xiuming,Yuan Rongxiang,Chen Jun等. Load Modeling Considering Error Boundary Based on Carathéodory-Fejér Interpolation Theorem[J]. Transactions of China Electrotechnical Society, 2015, 30(20): 176-184.

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https://dgjsxb.ces-transaction.com/EN/ OR https://dgjsxb.ces-transaction.com/EN/Y2015/V30/I20/176

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