Measurement placement in distribution system state estimation

Abstract

Abstract-This paper introduces a technique for meter placement for the purpose of improving the quality of voltage and angle estimates across a network. The proposed technique is based on the sequential improvement of a bivariate probability index governing relative errors in voltage and angle at each bus. The meter placement problem is simplified by transforming it into a probability bound reduction problem, with the help of the two sided-Chebyshev inequality. A straightforward solution technique is proposed for the latter problem, based on the consideration of 2-error ellipses. The benefits of the proposed technique are revealed by Monte Carlo simulations on a 95-bus UKGDS network model. Index Terms-Bivariate Chebyshev bound, distribution management system, distribution system state estimation, error ellipse, measurement placement.

A Bayesian Approach for Fault Location in Medium Voltage Grids With Underground Cables

“…Given the measured value vector m * , for each particular sampling l * of the fault position L, the integral in (18) has to be calculated to obtain the corresponding conditional pdf f M ( m * |l * ). The number of the dimensions of the integral is the same as the grid condition vector G c , and is shown as dim(G c ) = 2 + 2N Load + 2N DG + 2N CableType (23) where N Load number of MV loads; N DG number of MV DGs; N CableType number of cable types in the faulted feeder (this item can be omitted for nonground faults).…”

“…For the accuracy and the smoothness of the posterior distribution, it is preferred to calculate its values at the densely sampled points of the fault position L. On the other hand, for each sampled point l * , the time consuming integral in (18) has to be evaluated. Thus, a proper sampling strategy for L is essential for the numerical approach, where two important aspects need to be considered.…”

Observability Analysis and Optimal Meter Placement in Active Distribution Networks

“…More recently, DN observability may be achieved by incorporating the prior information (the so-called pseudo-measurements), the meter placement problem has been addressed targeting a given distribution system state estimation (DSSE) accuracy specification [4] or minimizing the number of instruments [5]. Singh et al [4] have proposed a measurement placement algorithm which seeks to reduce the errors in both the voltage magnitude and angle estimates simultaneously.…”

“…Singh et al [4] have proposed a measurement placement algorithm which seeks to reduce the errors in both the voltage magnitude and angle estimates simultaneously. In [5], an optimization algorithm is proposed that is suitable for choosing the optimal number and position of the measurement devices in DSSE procedures used in modern electric distribution networks.…”

Impact of synchrophasor measurement types and uncertainties on the accuracy of distribution system linear state estimators

“…In [13], Li has proved how real-time measurements improve the SE accuracy, whereas the use of pseudomeasurements can degrade the SE results. A Monte Carlobased approach that seeks the buses with the largest errors of voltage and phase estimates as a potential location for meter placement is presented in [14]. In [15], Caro et al propose a heuristic method to optimally locate a predefined number of PMUs throughout an observable system in order to maximize the SE accuracy.…”