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Investigation of the load-flow problem

Investigation of the load-flow problem

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A mesh approach is developed for the formulation of the network equations in load-flow analysis. It is shown to converge at least as fast as the usual methods using the nodal-impedance matrix. A hybrid approach is then developed, using a combination of an impedance-matrix method and a nodal-admittance-matrix method. The hybrid exhibits very fast convergence, and is the most powerful method encountered by the authors. It needs no optimum acceleration, and the number of iterations appear to be independent of system size and configuration. Finally, an investigation into the choice of an optimum swing/reference bus produced the only reliable criterion known to the authors.

References

    1. 1)
      • Digital methods applied to power-flow studies
    2. 2)
      • Numerical techniques in solution of power-system load-flow problems
    3. 3)
      • Sasson, A.M.: `Mesh-impedance-matrix solution of load-flow problems', Paper 31 PP 67-2, IEEE Winter Power Meeting, 1967
    4. 4)
      • Some improved methods for digital-network analysis
    5. 5)
      • Automatic calculations of load flows
    6. 6)
      • Carrè, B.A.: `Solution of load-flow problems by partitioning systems into trees', Paper 68 TP 112-PWR, IEEE Winter Power Meeting, 1968
    7. 7)
      • Some new aspects on load-flow calculation. Part I: Impedance-matrix generation controlled by network topology
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