February 2015
Intermediate
656 pages
24h 7m
English
Content preview from Transient Analysis of Power Systems
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2 Solution Techniques for Electromagnetic Transients in Power Systems
Jean Mahseredjian, Ilhan Kocar and Ulas Karaagac
2.1 Introduction
Modern power systems are complex and require advanced mathematical analysis methods for their design and operation. Numerical techniques are used to simulate and analyse power systems. Such numerical techniques are programmed in specialized software packages. The power system simulation and analysis tools can be subdivided into three main categories: steady-state, electromechanical transients and electromagnetic transients.
The computation of a power system load-flow falls into the steady-state category. It is often based on the positive sequence approximation of the studied network. The positive sequence approximation uses the balanced network assumption: balanced loads and continuously transposed transmission lines. It is often an acceptable approximation for balanced transmission systems, but in some systems transmission lines may not be balanced, and unbalanced loading may occur. Distribution systems are not balanced by nature and require multiphase and unbalanced load-flow calculation methods. The load-flow solution is the first initialization stage of a power system. It determines all the voltage phasors in the studied system and establishes all the initial conditions.
The load-flow solution of a power system is a nonlinear problem that can be solved using Jacobian matrices and iterations. When all the load-flow constraints are converted ...
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