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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 .. Stator Current Heating Limit .. Field Current Heating Limit .. Stator End Region Heating Limit .. 203 Active and Reactive Power Transmission Lines .. In-phase Transformers .. Phase-Shifting Transformer withakm= 1.. Unified Power Flow equations .. 254 Nodal Formulation of the Network Equations275 Basic Power Flow Basic Bus Types .. Equality and Inequality Constraints .. Problem Solvability .. 346 Solution of the Power Flow Solution by Gauss-Seidel Iteration.

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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