Power System State Estimation via Globally Convergent Methods

Pajic, S.; Clements, K.A.

doi:10.1109/tpwrs.2005.857383

Cited by 42 publications

(26 citation statements)

References 14 publications

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“…4) The generation of active and reactive power from different DG units might be governed by their droop characteristics. Furthermore, in this work a globally convergent Newton-trust region method [15]- [17] is proposed to solve the newly formulated set of nonlinear equations. The proposed generic power flow algorithm can be a powerful tool that helps the distribution network operator (DNO) to perform the steady analysis for islanded microgrids of considerably large dimensions with different DG operating modes.…”

Section: Introductionmentioning

confidence: 99%

A Novel and Generalized Three-Phase Power Flow Algorithm for Islanded Microgrids Using a Newton Trust Region Method

Abdelaziz

Farag

El-Saadany

et al. 2013

IEEE Trans. Power Syst.

300

206

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A new formulation is required to provide a proper power flow analysis in islanded microgrids taking into consideration their special philosophy of operation. In this paper, a novel and generic three-phase power flow algorithm is formulated for islanded microgrids. The algorithm is novel since it adapts the real characteristics of the islanded microgrid operation; i.e., 1) some of the distributed generation (DG) units are controlled using the droop control methods and their generated active and reactive power are dependent on the power flow variables; 2) the steady-state system frequency is considered as one of the power flow variables. The proposed algorithm is generic, where the features of distribution systems, i.e., three-phase feeder models, unbalanced loads and load models have been taken in consideration. Further, all possible operation modes of DG units (droop, PV, or PQ) have been considered. The problem has been formulated as a set of nonlinear equations. A globally convergent Newton-trust region method has been proposed to solve this set of nonlinear equations. The proposed algorithm is a helpful tool to perform accurate steady state studies of the islanded microgrid. Different case studies have been carried out to test the effectiveness and the robustness of the proposed algorithm.

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Section: Introductionmentioning

confidence: 99%

A Novel and Generalized Three-Phase Power Flow Algorithm for Islanded Microgrids Using a Newton Trust Region Method

Abdelaziz

Farag

El-Saadany

et al. 2013

IEEE Trans. Power Syst.

300

206

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“…The concept of this descent direction can be applied to establish the convergence of the Gauss–Newton algorithm. The convergence can be followed in fact by testing the following condition (Pajic and Clements 2005). …”

Section: Methodsmentioning

confidence: 99%

The computation of confidence intervals for the state parameters of power systems

et al. 2016

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BackgroundIn the past few decades, a significant volume of work has been carried out on various aspects of the state estimation problem to estimate an optimum state vector of the power system. This problem has been focused on, in previous studies regarding the computational efficiency and numerical robustness in view to find point estimates for system state parameters. This current investigation, constructed confidence intervals for the unknown state parameters of the system. The research indicates that confidence intervals can yield addition useful information about the estimated parameters.MethodsThe feasible interval estimates for the system state parameters have been modelled in this study by considering the random uncertainty in the processing measurements. The statistical assumptions of the measurement errors have been utilized to characterize the probabilistic behavior of the estimated parameters in terms of confidence intervals. The Gauss–Newton algorithm has been adopted for maximizing the likelihood function of the processing measurements and obtaining the confidence intervals.ResultsThe usage of the confidence intervals was demonstrated through Monte Carlo experiments on a real dataset of the 6-bus and IEEE 14-bus power systems for both small and large sample sizes. The confidence intervals were constructed for the test networks for the sample of measurements 18, 28, 44 and 68 based on the redundancy ratio R. The proposed interval estimates outperformed for the sample sizes of 28 in the 6 bus and 68 in the IEEE 14-bus systems, respectively. The poor performance for the constructed interval estimates have been reported even for the large sample sizes in the existence of contaminated measurements.ConclusionsThe results of the study show that the method is effective and practically applicable in the state estimation of a power system. The constructed confidence intervals for the system state parameters adequately perform for the lager sample size. However, the existence of the gross errors in the processing measurements had severe effect on the performance of the proposed interval estimates.

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“…In literature, some research work has been devoted to address these issues. For example, a backtracking and trust region based method is proposed to enhance the convergence properties of SE in [20]. In [21], a novel RSE approach using mixed integer nonlinear programming (MINP) formulation is proposed.…”

Section: Introductionmentioning

confidence: 99%

A mixed-integer linear programming approach for robust state estimation

Chen

Jin

2014

J. Mod. Power Syst. Clean Energy

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In this paper, a mixed integer linear programming (MILP) formulation for robust state estimation (RSE) is proposed. By using the exactly linearized measurement equations instead of the original nonlinear ones, the existing mixed integer nonlinear programming formulation for RSE is converted to a MILP problem. The proposed approach not only guarantees to find the global optimum, but also does not have convergence problems. Simulation results on a rudimentary 3-bus system and several IEEE standard test systems fully illustrate that the proposed methodology is effective with high efficiency.

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Power System State Estimation via Globally Convergent Methods

Cited by 42 publications

References 14 publications

A Novel and Generalized Three-Phase Power Flow Algorithm for Islanded Microgrids Using a Newton Trust Region Method

A Novel and Generalized Three-Phase Power Flow Algorithm for Islanded Microgrids Using a Newton Trust Region Method

The computation of confidence intervals for the state parameters of power systems

A mixed-integer linear programming approach for robust state estimation

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