Proposição de modelos de fluxo de potência polar intervalar mediante utilização de métodos de compensação

Abstract

In this dissertation, two new strategies are proposed to calculate the problem of power flow subjected to uncertainties in the parameters of transmission lines and loads of electrical systems. In traditional power flow analisys, power system parameters are treated as deterministic quantities. However some data, such as the impedance of transmission lines and the apparent power of loads connected to buses, may present uncertainties associated with measurement or variation over time. Sampling techniques, such as Monte Carlo, present excellent results, but require a high processing time. Therefore, nowadays, soft-computing techniques, which present reliable results in an efficient manner, without the need of many computational resources, have been researched. In this sense, the objective of this work is to adapt existing methodologies in the literature, which are not used for this purpose, for the solution of interval power flow and to evaluate if the results are reliable and efficient. The adaptation is performed considering small uncertainties, as usually occurs in reality, resulting in approximate methods of interval power flow analysis. The first method developed is based on the technique of direct assembly of the bus impedance matrix, without resorting to the inversion of the bus admittance matrix. The second method is based on the Compensation Theorem, used in the sensitivity analysis. The algorithm is developed and tested in Matlab, considering different cases of uncertainty, with the following test systems: Brazilian 33-bus, IEEE 57-bus and Brazilian 107-bus. The results are compared with those generated by the Monte Carlo simulation for validation. In general, the methods present satisfactory performance, as viable intervals of voltage and power flow, as well as losses in the lines, are found as expected, without application of techniques existing in the literature, such as interval mathematics or arithmetic affine.