New approach to power-system load-flow analysis in a digital computer

Abstract

The paper describes a method of evaluating power-system load flow on a digital computer, which is based on established network-analyser techniques. The technique does not rely on sophisticated mathematics for convergence. It has been used satisfactorily on a wide range of power systems, for which previously reported digital load-flow techniques completely failed.List of princpal symbols V = nodal-admittance matrix / = injected nodal-current vector / = injected nodal current V = nodal-voltage vector V = voltage P = active power Q = reactive power (lagging reactive power flowing in the same direction as active power is assumed positive) S= P + jQ Z = coefficient of inverse-admittance matrix y = admittance 6 = generator angle, deg. electrical U = unit matrix, per-unit quantities are used throughout the paper Subscripts g generation quantities L load quantities e instantaneous value during the solution of the differential equations Bold type is used to represent a matrix or a vector An asterisk is used to indicate complex conjugate, e.g. /* The superscript T is used to indicate a transpose, e.g. S T

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