Power Flow Analysis Essay

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2.3 Power Flow Analysis 2.3.1 Introduction The power flow problem, or load flow problem, is the problem of determining the operating characteristics of a power system in steady-state [19, 36]. A power system usually has plenty of pathways, the power flow analysis technique is expected to compute the power flows over all the pathways and the voltage magnitude and angle at each bus with the help of a certain number of non-linear mathematical equations[10]. Besides the calculation of electrical characteristics of the power system, power flow analysis can also help to optimize the system operating conditions and minimize the power losses [19]. 2.3.2 Node Equations and Admittance Matrix All power system components, such as generators, transmission lines, loads and reactive compensation devices, are connected to the buses, or nodes, which can also be seen as terminals of the system [10]. Assuming the ith node or bus bar of a power system is a connection of three lines, as shown in Figure 2.12. Figure 2.12 Node k as a connection of lines[10] Based on Kirchhoff’s current law it’s easy to obtain the current injection of node k as: (2.50) The complex power injected into node k is presented as: …show more content…

Depending on excitation, a synchronous generator can either generate or consume reactive power within its capacity. Cables generate reactive power due to high shunt capacitance, while overhead lines and transformers are reactive power consumers, which cause most of reactive power losses. Most loads, either by industry consumer or by private consumer, are inductive loads, thus they also absorb reactive power. The reactive power generated by synchronous generators is usually less than the demand of loads. Hence, the generation and requirement need to be equalized by capacitive compensation devices, such as capacitor banks, SVC and STATCOM

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