Power System Analysis
Power System AnalysisPower Flow AnalysisFault AnalysisPower System Dynamics and StabilityLecture 227-0526-00, ITET ETH Z urichG oran AnderssonEEH - Power Systems LaboratoryETH Z urichSeptember 2012iiContentsPrefaceviiI Static Analysis11 Power Flow Analysis . . . . . . . . . . . . . . . . . . . . . . . Fault Current Analysis . . . . . . . . . . . . . . . . . . . . . . Literature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 Network Lines and Cables . . . . . . . . . . . . . . . . . . . . . . . . . Transformers . . . . . . . . . . . . . . . . . . . . . . . . . . . In-Phase Transformers . . . . . . . . . . . . . . . . . . Phase-Shifting Transformers . . . . . . . . . . . . . . . Unified Branch Model . . . . . . . . . . . . . . . . . . Shunt Elements . . . . . . . . . . . . . . . . . . . . . . . . . . Loads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Generators.
equations harder to solve. For the solution of the equations, the linearization ∂f ∂x ∆x = ∆y (1.2) is quite often used and solved. These equations give also very useful infor-mation about the system. The Jacobian matrix ∂f ∂x, whose elements are given by ∂f ∂x ij = ∂f i ∂x j (1.3)
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