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In this paper, a technique for estimating frequency and amplitude of noncircular complex sinusoid has been presented. A cascade scheme of first-order complex notch filters has been introduced where complex sequence with negative frequency is rejected in the first section and sequence with positive frequency is removed in the second section. Closed-form expressions for bias and mean square error (MSE)...
In this paper, a new complex adaptive notch filters using the oscillator based algorithm has been proposed. The approach presented for second-order real coefficient IIR filters has been applied to derive a coefficient-update algorithm for a first-order complex adaptive notch filter. Convergence characteristics of the proposed algorithm have been analyzed. Unbiased frequency estimation of a complex...
This paper presents a new technique for adaptive estimation of the frequency of unbalanced three-phase power systems using complex coefficient first-order notch filters. The input complex sinusoid is given by a sum of sequences with positive and negative frequencies. Analytical expressions of mean square error due to an oscillating error introduced by the sequence with negative frequency and input...
In this paper, we consider load control in a multiple residence setup where energy consumption scheduling (ECS) devices in smart meters are employed for Demand-side management (DSM). Several residential end-users share the same energy source and each residential user has non adjustable loads, adjustable loads and a storage device. The ECS devices interact automatically by running an iterative distributed...
Demand-side management (DSM) will play an important role in balancing the energy distribution and demand in future smart grids. Indeed DSM is one of the important functions in a smart grid that allows customers to make informed decisions regarding their energy consumption, and help the energy providers reduce the peak load demand and reshape the load profile [1]-[4]. Achieving effective DSM is crucial...
This paper presents a new realization of adaptive notch filter based on a cascade of adaptive IIR notch filters using complex coefficient first-order notch filters. The input is multiple real linear chirp signals embedded in a white Gaussian noise. Closed-form expression for frequency tracking mean square error (MSE) is given. Optimum step size parameter and notch bandwidth coefficient that minimize...
This paper presents a new technique for adaptive estimation of the frequency of unbalanced three-phase power systems using complex coefficient first-order notch filters. The input complex sinusoid is given by a sum of sequences with positive and negative frequencies. The analytical expression of a estimation error oscillation introduced by the sequence with negative frequency has been derived. Closed...
This paper presents a state-space approach for implementation of a continuous-time adaptive notch filter with a gradient-based algorithm for a single sinusoid frequency estimation. Transient analysis of the proposed algorithm is carried out under the assumption of slow adaptation. Tracking characteristics are also investigated for linear chirp and sinusoidally-varying input signal frequency. Closed-form...
This paper presents a new realization of adaptive notch filter based on a cascade of complex first-order notch filters. Unbiased frequency estimation of a real sinusoid has been achieved by thinning the notch bandwidth. It has been shown that the simple closed form of mean square error (MSE) for frequency estimation is given by using the results for first-order complex notch filter and its robustness...
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