Power Systems Engineering and Mathematics by U. G. Knight and D. J. Silverleaf (Auth.)

By U. G. Knight and D. J. Silverleaf (Auth.)

Strength platforms Engineering and arithmetic, through Knight, U.G

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1. e. Xii9 Xu are the phase angles assumed by nodes / a n d j respectively with unit power injection between / and reference. Their values will depend on the choice of reference. The [X] matrix will be symmetrical, Xu = Xn. 2. Network Modifications and the Matrix Since many network studies require investigation of a wide range of configurations often differing in only minor respects, it is advantageous to be able to modify the nodal impedance matrix to include such changes, all of which can be made up by appropriate addition or deletion of nodes and branches.

Transmission limitations can be included as group constraints. As these factors are introduced, the computations will tend towards the types used in day-to-day operation as described in Chapters 12 and 13. In the ultimate, the main difference will be in the number of system states studied— say between 100 and 500 in simulation of a year's operation as against 25,000 upwards in actual operation. 3* CHAPTER 4 THE E S T I M A T I O N OF D E M A N D A N D TOTAL G E N E R A T I O N REQUIREMENT A MAJOR decision made annually by the management of an electricity-supply undertaking will be the adoption of a set of demand estimates for planning-system extensions.

Assuming V2 = V3 = ··· = 1-0 the first equation yields an improved value for V1. This can be used immediately in the second equation with V3 = F 4 = · · · = 1 to determine an improved value of V2 (Gauss-Seidel) or held unused until all equations have been treated in the same way (Gauss). New It are then calculated, and the process repeated until successive voltages agree within the tolerance specified. Convergence is improved by using "acceleration factors" to change the nodal voltages at each iteration by rather more than the increments as calculated above.

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