Safe operation of the power grid requires a complete and robust control network to ensure full observability;However,redundancy measurements can create problems in expense,management,and control.The optimal phasor mea...Safe operation of the power grid requires a complete and robust control network to ensure full observability;However,redundancy measurements can create problems in expense,management,and control.The optimal phasor measurement unit(PMU)positioning problem(OPPP)is proposed to limit the number of PMUs deployed in the power grid and ensure the whole grid's observability in the meantime.A modified branch-and-bound algorithm(MBBA)to unravel the OPPP is presented.Original BBA,which uses a single search order to create a binary tree,gives only one solution to the OPPR although more than one optimal solution exists.The proposed MBBA method consists of two different stages:the vertexes in the search tree are investigated by depth-first search(DFS)in stage 1,and the search route continues as the breadth-first search.In stage 1,the LP relaxing problems are solved by dual simplex,and in stage 2,the basic viable solution from stage 1 is used to configure the primary simplex until the optimum solution is found.OPPP is formulated as a binary decision variable MBBA model,minimizing linear objective function subject to linear matrix observability constraints.The MBBA model is unravelled using a linear integer-based external approximation scheme.IEEE test systems are used to check the feasibility of the proposed approach.Matlab software performs simulation based on a number of graph theory-based methods such as DFS,graph-theoretical method,simulated annealing,and recursive N-algorithms.These algorithms are compared to the algorithmic perspective of the proposed MBBA method.IEEE test network results confirm the validity of the proposed methodology.展开更多
Phasor measurement units(PMUs)are preferred for installation at weak buses in a power network.Therefore,the weak buses need to be located and the strategic locations of PMUs identified to ensure network observability....Phasor measurement units(PMUs)are preferred for installation at weak buses in a power network.Therefore,the weak buses need to be located and the strategic locations of PMUs identified to ensure network observability.Thus,the primary aim of this work is to identify the placements of the maximum number of PMUs installed at the weak buses in the electrical network.The voltage collapse proximity indicator,line stability index,fast voltage stability index,and a new voltage stability indicator utilizing load flow measurement are used to determine the weak buses.A novel deterministic methodology based on a binary-integer linear programming model is then proposed to determine the optimal locations of PMUs.The effect of a single PMU outage considering the weak buses is also demonstrated.The effectiveness of the developed approach is tested and validated on the standard IEEE 14-,118-,300-,and New England 39-bus systems.The obtained results are also compared to those using different weak bus methodologies.展开更多
文摘Safe operation of the power grid requires a complete and robust control network to ensure full observability;However,redundancy measurements can create problems in expense,management,and control.The optimal phasor measurement unit(PMU)positioning problem(OPPP)is proposed to limit the number of PMUs deployed in the power grid and ensure the whole grid's observability in the meantime.A modified branch-and-bound algorithm(MBBA)to unravel the OPPP is presented.Original BBA,which uses a single search order to create a binary tree,gives only one solution to the OPPR although more than one optimal solution exists.The proposed MBBA method consists of two different stages:the vertexes in the search tree are investigated by depth-first search(DFS)in stage 1,and the search route continues as the breadth-first search.In stage 1,the LP relaxing problems are solved by dual simplex,and in stage 2,the basic viable solution from stage 1 is used to configure the primary simplex until the optimum solution is found.OPPP is formulated as a binary decision variable MBBA model,minimizing linear objective function subject to linear matrix observability constraints.The MBBA model is unravelled using a linear integer-based external approximation scheme.IEEE test systems are used to check the feasibility of the proposed approach.Matlab software performs simulation based on a number of graph theory-based methods such as DFS,graph-theoretical method,simulated annealing,and recursive N-algorithms.These algorithms are compared to the algorithmic perspective of the proposed MBBA method.IEEE test network results confirm the validity of the proposed methodology.
文摘Phasor measurement units(PMUs)are preferred for installation at weak buses in a power network.Therefore,the weak buses need to be located and the strategic locations of PMUs identified to ensure network observability.Thus,the primary aim of this work is to identify the placements of the maximum number of PMUs installed at the weak buses in the electrical network.The voltage collapse proximity indicator,line stability index,fast voltage stability index,and a new voltage stability indicator utilizing load flow measurement are used to determine the weak buses.A novel deterministic methodology based on a binary-integer linear programming model is then proposed to determine the optimal locations of PMUs.The effect of a single PMU outage considering the weak buses is also demonstrated.The effectiveness of the developed approach is tested and validated on the standard IEEE 14-,118-,300-,and New England 39-bus systems.The obtained results are also compared to those using different weak bus methodologies.
