Banca de DEFESA: RAFAEL FURQUIM JUNIOR

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : RAFAEL FURQUIM JUNIOR
DATA : 09/12/2020
HORA: 14:00
LOCAL: Videoconferência
TÍTULO:

Employment of the Clifford Geometric Algebra for the Analysis of Non-Linear Circuits

PALAVRAS-CHAVES:

Electric power; Harmonics; Non-linear circuits; Reactive power; Clifford algebra; Steady-state.

PÁGINAS: 126
GRANDE ÁREA: Engenharias
ÁREA: Engenharia Elétrica
SUBÁREA: Sistemas Elétricos de Potência
RESUMO:

The first theory created for the analysis of power in electric circuits under nonsinusoidal steady-state conditions

was proposed by Budeanu in 1927. It is based on an extrapolation of the classical method used for sinusoidal

steady-state conditions.

Since it does not explain adequately some aspects of the behavior of non-active

power flow, it has allowed the proposition of several other theories for almost the last

100 years.

Among the most recent propositions is the one by Castro-Nuñez, which uses, in

order to model the non-active power and the multivector aspect of the electric power, a

mathematical tool called Clifford Algebra or Geometric Algebra. However, this proposal

still does not reach its goal since its results diverge in the time-domain.

In this work, a new approach for the transformation between the time and

Clifford domains is presented, which is capable of reproducing the results from the

analysis of the instantaneous power in the time-domain. Also, it is proposed, for the first

time, a rotating operator, different for each frequency present in the circuit. Therefore,

the time-domain is perfectly reproduced in the Clifford-domain, a characteristic that is

not present in the proposal of other authors.

In order to validate the proposed method, four single-phase circuits in nonsinusoidal steady-state conditions

were solved in the time-domain and in the Clifford domain. These circuits contain fundamental frequency and

third harmonic voltage sources together with RLC loads. Also, a circuit containing a fundamental frequency

voltage source, a linear load, and a non-linear load consisting of a single-phase fullwave rectifier, was solved.

MEMBROS DA BANCA:
Presidente - 2182129 - NIRALDO ROBERTO FERREIRA
Interno - 1484412 - FERNANDO AUGUSTO MOREIRA
Interno - 288126 - KLEBER FREIRE DA SILVA
Externo à Instituição - ALESSANDRA FREITAS PICANÇO - IFBA