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basically u need to know load flow in order to make sure that the current on the lines does not exceed their ratings (overload condition)
also, load flow currents are used in various setting of relays
it also gives you an idea as to the power losses on the line and the reactive power sunk into the line or produced by cap banks
Newton-Raphson is the one used in most software programs
PSSE is available for sale, not for illegal download