Abstract
The paper is related to the problem of modeling and optimizing power systems supplying, among others, nonlinear loads. A software solution that allows the modeling and simulation of power systems in the frequency domain as well as the sizing and allocation of active power filters has been developed and presented. The basic assumptions for the software development followed by the models of power system components and the optimization assumptions have been described in the paper. On the basis of an example of a low-voltage network, an analysis of the selection of the number and allocation of active power filters was carried out in terms of minimizing losses and investment costs under the assumed conditions for voltage total harmonic distortion (THD) coefficients in the network nodes. The presented examples show that the appropriate software allows for an in-depth analysis of possible solutions and, furthermore, the selection of the optimal one for a specific case, depending on the adopted limitations, expected effects, and investment costs. In addition, a very high computational efficiency of the adopted approach to modeling and simulation has been demonstrated, despite the use of (i) element models for which parameters depend on the operating point (named iterative elements), (ii) active filter models taking into account real harmonics reduction efficiency and power losses, and (iii) a brute force algorithm for optimization.
Highlights
This paper is the result of a few years of research related to the active power filter sizing and allocation in a power supply system with distorted current and voltage waveforms
Studies have shown that this issue has a significant impact both on the quality of compensation and the cost of active power filter (APF) connection
Finding a solution to the optimization problem enables us to answer the question: How many APFs, and in which nodes should they be installed in order to minimize the power losses and the financial cost, keeping the maximum voltage total harmonic distortion (THD) coefficient below the level imposed by the standards?
Summary
This paper is the result of a few years of research related to the active power filter sizing and allocation in a power supply system with distorted current and voltage waveforms. In dete th amplitude-frequency amplitude-frequency and phase-frequency and phase-frequency characteristics characteristics of the system of are the obtained This type ofuses analysis type isofofpossible analysis type with isof possible analysis assumption with isof possible that assumption with theimpedances analysed the that assumption the signals analys ar th in this way, the relationships between the current and voltage as well as the method [27], the which method decomposition [27], the which decomposition uses current the and decomposition voltage current waveforms and voltage current in waveforms and the (other types of modeling, such as hybrid or fractional order [29], each are of the developed). Athe good seems solution be seems to be of active power filters in the system, as itIn is associated with aa development large number of built-in the combination the combination of the properties the combination of the of properties programs of the from of properties programs both groups
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