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20142021
most citedOptimal PMU Placement for Power System Dynamic State Estimation by Using Empirical Observability Gramian

204 citations · 1.1k across the 39 of their papers we have counts for

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Showing 2014Show all

6 papers · 1 filter

math.DS2014★ 10 cited

Finding Semi-Analytic Solutions of Power System Differential-Algebraic Equations for Fast Transient Stability Simulation

Nan Duan, Kai Sun

This paper studies the semi-analytic solution (SAS) of a power system's differential-algebraic equation. A SAS is a closed-form function of symbolic variables including time, the i…

math.OC2014★ 7 cited

Adaptive Optimal PMU Placement Based on Empirical Observability Gramian

Junjian Qi, Kai Sun, Wei Kang

In this paper, we compare four measures of the empirical observability gramian, including the determinant, the trace, the minimum eigenvalue, and the condition number, which can be…

physics.soc-ph2014★ 55 cited

Estimating the Propagation of Interdependent Cascading Outages with Multi-Type Branching Processes

Junjian Qi, Wenyun Ju, Kai Sun

In this paper, the multi-type branching process is applied to describe the statistics and interdependencies of line outages, the load shed, and isolated buses. The offspring mean m…

cs.IT2014

Power System Dynamic State Estimation by Unscented Kalman Filter with Guaranteed Positive Semidefinite State Covariance

Junjian Qi, Kai Sun

In this paper an unscented Kalman filter with guaranteed positive semidefinite state covariance is proposed by calculating the nearest symmetric positive definite matrix in Frobeni…

math.OC2014★ 204 cited

Optimal PMU Placement for Power System Dynamic State Estimation by Using Empirical Observability Gramian

Junjian Qi, Kai Sun, Wei Kang

In this paper the empirical observability Gramian calculated around the operating region of a power system is used to quantify the degree of observability of the system states unde…

eess.SY2014★ 182 cited

An Interaction Model for Simulation and Mitigation of Cascading Failures

Junjian Qi, Kai Sun, Shengwei Mei

In this paper the interactions between component failures are quantified and the interaction matrix and interaction network are obtained. The quantified interactions can capture th…