A Topological Investigation of Power Flow
نویسندگان
چکیده
This paper combines the fundamentals of an electrical grid, such as flow allocation according to Kirchhoff’s laws and the effect of transmission line reactances, with spectral graph theory, and expresses the linearised power flow behaviour in slackbus independent weighted graph matrices to assess the relation between the topological structure and the physical behaviour of a power grid. Based on the pseudo-inverse of the weighted network Laplacian, the paper further analytically calculates the effective resistance (Thevenin) matrix and the sensitivities of active power flows to the changes in network topology by means of transmission line removal and addition. Numerical results for the IEEE-118 bus power system are demonstrated to identify the critical components to cascading failures, node isolation and Braess’ paradox in a power grid.
منابع مشابه
experimental investigation of power consumption, mass transfer coefficient and flow regime in gas-liquid dispersion systems
متن کامل
Distributed Generation Effects on Unbalanced Distribution Network Losses Considering Cost and Security Indices
Due to the increasing interest on renewable sources in recent years, the studies on integration of distributed generation to the power grid have rapidly increased. In order to minimize line losses of power systems, it is crucially important to define the size and location of local generation to be placed. Minimizing the losses in the system would bring two types of saving, in real life, one is ...
متن کاملFluid Dynamics in a Copper Converter: an Investigation on Mixing Phenomena in an Experimental Model
In this study, the mixing phenomena and fluid dynamics in a copper converter have been experimentally investigated using a physical model. The physical model is a 1:5 horizontal tank made of Plexiglas. The mixing phenomena have been characterized by experimentally measuring the mixing time using a tracer dispersion technique. Moreover, the effects of the air flow rate and lance submergence on t...
متن کاملDistributed Generation Effects on Unbalanced Distribution Network Losses Considering Cost and Security Indices
Due to the increasing interest on renewable sources in recent years, the studies on integration of distributed generation to the power grid have rapidly increased. In order to minimize line losses of power systems, it is crucially important to define the size and location of local generation to be placed. Minimizing the losses in the system would bring two types of saving, in real life, one is ...
متن کاملAn Investigation on Performance of Shrouding a Small Wind Turbine with a Simple Ring in a Wind Tunnel
Ducted wind turbines are a kind of small wind turbine having a diffuser or any other shape around the rotor which increases the air flow through the blades and absorbs more power. In the present study, a small wind turbine was ducted with a relatively simple ring and its performance was investigated in a wind tunnel. The duct is shaped using rolling steel sheets on a sloping surface and finally...
متن کامل