DC Power Flow

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Assumptions:

1. Voltage Magnitude = 1

2. Resistances are negligible

3. Bus angle differences are small (Radians):

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Hence:

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and:

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Therefore:

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(Where: Xkm is Reactance (ohms))

 

This rule can be applied to matrix equations:

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Where: P = Power Matrix, B = Susceptance Matrix

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Hence power angles can be determined by inverting the susceptance matrix: