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Groebner bases algorithm for optimal PMU placement

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/etep.2027openalex-snapshot
A sequential quadratic programming method for contingency-constrained phasor measurement unit placement
inferredcites →https://doi.org/10.1007/978-0-387-76537-2openalex-snapshot
Synchronized Phasor Measurements and Their Applications
inferredcites →https://doi.org/10.1007/978-3-642-59048-1_2openalex-snapshot
Introduction to Groebner Bases
inferredcites →https://doi.org/10.1007/s40313-018-0389-4openalex-snapshot
ILP-Based Optimal PMU Placement with the Inclusion of the Effect of a Group of Zero-Injection Buses
inferredcites →https://doi.org/10.1007/s40565-016-0211-xopenalex-snapshot
Improving the performance of power system protection using wide area monitoring systems
inferredcites →https://doi.org/10.1016/j.epsr.2011.02.005openalex-snapshot
An integer-arithmetic algorithm for observability analysis of systems with SCADA and PMU measurements
inferredcites →https://doi.org/10.1016/j.epsr.2012.04.010openalex-snapshot
Optimal placement of PMUs with limited number of channels
inferredcites →https://doi.org/10.1016/j.ijepes.2005.05.005openalex-snapshot
Optimal PMU placement for full network observability using Tabu search algorithm
inferredcites →https://doi.org/10.1016/j.ijepes.2012.03.011openalex-snapshot
An optimal PMU placement technique for power system observability
inferredcites →https://doi.org/10.1016/j.ijepes.2014.03.068openalex-snapshot
Optimal PMU placement method for complete topological observability of power system under various contingencies
inferredcites →https://doi.org/10.1016/j.jare.2016.06.003openalex-snapshot
Optimal PMU placement using topology transformation method in power systems
inferredcites →https://doi.org/10.1016/j.jsc.2005.09.007openalex-snapshot
Bruno Buchberger’s PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal
inferredcites →https://doi.org/10.1049/cp.2014.1656openalex-snapshot
Optimal placement of PMUS in power systems using binary integer programming and genetic algorithm
inferredcites →https://doi.org/10.1049/iet-gtd.2015.0662openalex-snapshot
Optimal phasor measurement unit placement for numerical observability in the presence of conventional measurements using semi‐definite programming
inferredcites →https://doi.org/10.1049/iet-gtd.2015.1005openalex-snapshot
Genetic algorithm‐based phasor measurement unit placement method considering observability and security criteria
inferredcites →https://doi.org/10.1049/iet-gtd.2016.0287openalex-snapshot
Optimal PMU placement for full observability of the power network with maximum redundancy using modified binary cuckoo optimisation algorithm
inferredcites →https://doi.org/10.1080/15325008.2015.1057781openalex-snapshot
A Novel Topological Genetic Algorithm-Based Phasor Measurement Unit Placement and Scheduling Methodology for Enhanced State Estimation
inferredcites →https://doi.org/10.1080/15325008.2019.1605635openalex-snapshot
Optimal Phasor Measurement Unit Placement for Numerical Observability Using Branch-and-Bound and a Binary-Coded Genetic Algorithm
inferredcites →https://doi.org/10.1109/access.2018.2865513openalex-snapshot
An Optimal PMU Placement With Reliable Zero Injection Observation
inferredcites →https://doi.org/10.1109/iscas.2010.5537854openalex-snapshot
Impact of network sparsity on strategic placement of phasor measurement units with fixed channel capacity
inferredcites →https://doi.org/10.1109/isgteurope.2014.7028797openalex-snapshot
Optimal PMU placement for state estimation robustness
inferredcites →https://doi.org/10.1109/isgteurope.2016.7856306openalex-snapshot
Optimal PMU placement for topological observability of power system: Robust measurement design in the space of phasor variables
inferredcites →https://doi.org/10.1109/issp.2013.6526867openalex-snapshot
Optimal placement of PMUs using differential evolution
inferredcites →https://doi.org/10.1109/naps.2009.5484033openalex-snapshot
The application of the Groebner Basis technique in power flow study
inferredcites →https://doi.org/10.1109/naps.2015.7335254openalex-snapshot
Unified PMU placement algorithm for power systems
inferredcites →https://doi.org/10.1109/pes.2009.5275529openalex-snapshot
Placement of PMUs with channel limits
inferredcites →https://doi.org/10.1109/pesgm.2012.6345003openalex-snapshot
Optimal incremental placement of PMUs for power system observability
inferredcites →https://doi.org/10.1109/pesgm.2015.7286479openalex-snapshot
Analysis of power system oscillation frequency using Differential Groebner Basis and the Harmonic Balance Method
inferredcites →https://doi.org/10.1109/psce.2011.5772490openalex-snapshot
An improved model in optimal PMU placement considering sensitivity analysis
inferredcites →https://doi.org/10.1109/tpel.2015.2447555openalex-snapshot
Selective Harmonic Elimination With Groebner Bases and Symmetric Polynomials
inferredcites →https://doi.org/10.1109/tpwrd.2005.855457openalex-snapshot
Phasor Measurement Unit Placement Techniques for Complete and Incomplete Observability
inferredcites →https://doi.org/10.1109/tpwrd.2008.2008430openalex-snapshot
Placement of Synchronized Measurements for Power System Observability
inferredcites →https://doi.org/10.1109/tpwrd.2008.919046openalex-snapshot
Optimal Multistage Scheduling of PMU Placement: An ILP Approach
inferredcites →https://doi.org/10.1109/tpwrd.2013.2264022openalex-snapshot
Observability of Hybrid AC/DC Power Systems With Variable-Cost PMUs
inferredcites →https://doi.org/10.1109/tpwrs.2008.926475openalex-snapshot
Generalized Integer Linear Programming Formulation for Optimal PMU Placement
inferredcites →https://doi.org/10.1109/tpwrs.2009.2036474openalex-snapshot
Robust Measurement Design by Placing Synchronized Phasor Measurements on Network Branches
inferredcites →https://doi.org/10.1109/tpwrs.2011.2130544openalex-snapshot
Joint Placement of Phasor and Power Flow Measurements for Observability of Power Systems
inferredcites →https://doi.org/10.1109/tpwrs.2012.2185959openalex-snapshot
Optimal Placement of Phasor Measurement Units via Convex Relaxation
inferredcites →https://doi.org/10.1109/tpwrs.2013.2242698openalex-snapshot
A Weighted Least Squares Algorithm for Optimal PMU Placement
inferredcites →https://doi.org/10.1109/tsg.2011.2167163openalex-snapshot
Optimal PMU Placement by an Equivalent Linear Formulation for Exhaustive Search
inferredcites →https://doi.org/10.1109/tsg.2015.2461558openalex-snapshot
Integrated Model Considering Effects of Zero Injection Buses and Conventional Measurements on Optimal PMU Placement
inferredcites →https://doi.org/10.2307/2370405openalex-snapshot
Finiteness of the Odd Perfect and Primitive Abundant Numbers with n Distinct Prime Factors
inferredcites →https://doi.org/10.5860/choice.30-5053openalex-snapshot
Ideals, varieties, and algorithms: an introduction to computational algebraic geometry and commutative algebra

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.3993184openalex-extracted
A Novel Algorithm for Optimal Phasor Measurement Unit Placement for Full Power System Topological Observability
inferred← citeshttps://doi.org/10.1007/s12667-026-00783-6openalex-snapshot
A novel MILP formulation for optimal placement of phasor measurement units with comprehensive modeling of zero-injection buses and practical constraints
inferred← citeshttps://doi.org/10.1016/j.asej.2020.08.025openalex-snapshot
Dynamic model for transmission lines maximum disconnection time on wind farm
inferred← citeshttps://doi.org/10.1016/j.epsr.2024.111327openalex-snapshot
Enhancing Power Grid Reliability with PMU Placement in Flexibly Rated Cyber-Physical Systems
inferred← citeshttps://doi.org/10.1016/j.ijepes.2020.106577openalex-snapshot
Optimal PMU placement approach for power systems considering non-Gaussian measurement noise statistics
inferred← citeshttps://doi.org/10.1016/j.ijepes.2023.108951openalex-snapshot
An ILP model for stochastic placement of μ PMUs with limited voltage and current channels in a reconfigurable distribution network
inferred← citeshttps://doi.org/10.1016/j.matpr.2020.10.470openalex-snapshot
WITHDRAWN: Taxonomy of evolutionary techniques application in power systems
inferred← citeshttps://doi.org/10.1049/gtd2.13264openalex-snapshot
Reconfiguration of active distribution networks as a means to address generation and consumption dynamic variability
inferred← citeshttps://doi.org/10.1049/rpg2.12983openalex-snapshot
A robust state estimation by optimal placement of measurement units considering loads/renewable generations and measurements uncertainty
inferred← citeshttps://doi.org/10.1080/15325008.2022.2145390openalex-snapshot
Designation of Optimal Location of Phasor Measurement Units by Comparing Different Methods for Türkiye 400 kV Power Systems
inferred← citeshttps://doi.org/10.1088/1361-6501/ac849fopenalex-snapshot
Optimal placement of distribution-level synchrophasor sensors for distribution system
inferred← citeshttps://doi.org/10.1108/compel-01-2021-0018openalex-snapshot
A multi-objective grey wolf optimizer (GWO)-based multi-layer perceptrons (MLPs) trainer for optimal PMUs placement
inferred← citeshttps://doi.org/10.1109/icpc2t63847.2025.10958588openalex-snapshot
Strategic Deployment of Phasor Measurement Units in Power Networks Using Binary Brown-Bear Optimization Algorithm
inferred← citeshttps://doi.org/10.1109/icpics55264.2022.9873641openalex-snapshot
PMU monitoring equipment deployment method based on swarm intelligence algorithm
inferred← citeshttps://doi.org/10.1109/intercon50315.2020.9220199openalex-snapshot
Dynamic analysis associated to power plants and overhead lines failure
inferred← citeshttps://doi.org/10.1109/sefet65155.2025.11255511openalex-snapshot
Optimal Placement of PMUs and PDCs using Parrot Optimization Algorithm
inferred← citeshttps://doi.org/10.1109/ssdee64538.2025.10968025openalex-snapshot
Binary Artemisinin Optimization Algorithm for Optimal Phasor Measurement Unit Placement
inferred← citeshttps://doi.org/10.1109/stpec66316.2025.11490621openalex-snapshot
Optimal Placement of PMUs Using AO Algorithm by Considering Data Traffic and Cost Installation Indices in Smart Grid
inferred← citeshttps://doi.org/10.1109/tsg.2025.3564889openalex-snapshot
Optimal PMU Placement via Quantum Optimization
inferred← citeshttps://doi.org/10.1155/2022/1625853openalex-snapshot
Allocation of Optimal PMUs for Power System Observability Using PROMETHEE Approach
inferred← citeshttps://doi.org/10.1371/journal.pone.0293616openalex-snapshot
Smart distribution network voltage estimation using PMU technology considering zero injection constraints
inferred← citeshttps://doi.org/10.17559/tv-20220708091029openalex-snapshot
Optimal PMU Placement for Türkiye 400 kV Interconnected Power System Observability with Dragonfly Algorithm
inferred← citeshttps://doi.org/10.3390/a19010011openalex-snapshot
Avoiding the Maratos Effect in Non-Convex Optimization Through Piecewise Convexity: A Case Study in Optimal PMU Placement Problem
inferred← citeshttps://doi.org/10.3390/axioms12111040openalex-snapshot
The Branch-and-Bound Algorithm in Optimizing Mathematical Programming Models to Achieve Power Grid Observability
inferred← citeshttps://doi.org/10.3390/en14164782openalex-snapshot
Optimal PMU Placement Technique to Maximize Measurement Redundancy Based on Closed Neighbourhood Search
inferred← citeshttps://doi.org/10.3390/en18133283openalex-snapshot
Planning Scheme for Optimal PMU Location Considering Power System Expansion
inferred← citeshttps://doi.org/10.3390/math14183256openalex-snapshot
Disjunctive Programming and Piecewise Convexity: An Algorithmic Trajectory Analysis Toward Stationary Points to Avoid the Maratos Effect in Numerical Optimization
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