IEEE Trans Neural Netw Learn Syst. 2016 Aug;27(8):1604-14. doi: 10.1109/TNNLS.2014.2381853. Epub 2015 Jan 7.
In this paper, a recursive filter algorithm is developed to deal with the state estimation problem for power systems with quantized nonlinear measurements. The measurements from both the remote terminal units and the phasor measurement unit are subject to quantizations described by a logarithmic quantizer. Attention is focused on the design of a recursive filter such that, in the simultaneous presence of nonlinear measurements and quantization effects, an upper bound for the estimation error covariance is guaranteed and subsequently minimized. Instead of using the traditional approximation methods in nonlinear estimation that simply ignore the linearization errors, we treat both the linearization and quantization errors as norm-bounded uncertainties in the algorithm development so as to improve the performance of the estimator. For the power system with such kind of introduced uncertainties, a filter is designed in the framework of robust recursive estimation, and the developed filter algorithm is tested on the IEEE benchmark power system to demonstrate its effectiveness.
本文提出了一种递归滤波器算法,用于处理具有量化非线性测量的电力系统的状态估计问题。来自远程终端单元和相量测量单元的测量都受到对数量化器描述的量化的影响。本文的重点是设计一种递归滤波器,使得在存在非线性测量和量化效应的情况下,保证并随后最小化估计误差协方差的上界。我们没有使用传统的非线性估计中的近似方法,这些方法简单地忽略了线性化误差,而是在算法开发中将线性化和量化误差视为范数有界不确定性,以提高估计器的性能。对于引入这种不确定性的电力系统,我们在鲁棒递归估计的框架内设计了一个滤波器,并在 IEEE 基准电力系统上对所开发的滤波器算法进行了测试,以验证其有效性。