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      A Dual Method for Computing Power Transfer Distribution Factors

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          Abstract

          Power Transfer Distribution Factors (PTDFs) play a crucial role in power grid security analysis, planning, and redispatch. Fast calculation of the PTDFs is therefore of great importance. In this paper, we present a non-approximative dual method of computing PTDFs. It uses power flows along topological cycles of the network but still relies on simple matrix algebra. At the core, our method changes the size of the matrix that needs to be inverted to calculate the PTDFs from \(N\times N\), where \(N\) is the number of buses, to \((L-N+1)\times (L-N+1)\), where \(L\) is the number of lines and \(L-N+1\) is the number of independent cycles (closed loops) in the network while remaining mathematically fully equivalent. For power grids containing a relatively small number of cycles, the method offers a significant speedup of numerical calculations.

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          Author and article information

          Journal
          2015-10-15
          2015-12-15
          Article
          1510.04645
          90663106-80eb-4f7d-8b6b-963df8ccc366

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          physics.comp-ph cs.CE cs.SY

          Applied computer science,Performance, Systems & Control,Mathematical & Computational physics

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