What is wrong with the paper ”The IEEE Standard 1459, the CPC Power Theory and Geometric Algebra in Circuits with Nonsinusoidal Sources and Linear Loads”?

• Autorzy: Czarnecki Leszek S. , Almousa Motab

Identyfikatory

DOI

10.15199/48.2020.07.01

Warianty tytułu

PL

Co jest nie tak z artykułem ”The IEEE Standard 1459, the CPC Power Theory and Geometric Algebra in Circuits with Nonsinusoidal Sources and Linear Loads”?

• Języki publikacji: EN

Abstrakty

EN

There are published opinions that the complex number algebra as used for circuits analysis, power theory of electrical circuits and methods of reactive compensators design should be superseded by geometric algebra. Such opinions were presented in the paper ”The IEEE Standard 1459, the CPC-based Power Theory, and Geometric Algebra in Circuits with Nonsinusoidal Sources and Linear Loads”, and “Advantages of Geometric Algebra Over Complex Numbers in the Analysis of Linear Networks with Nonsinusoidal Sources and Linear Loads”, published in IEEE Transactions on Circuits and Systems-I, in 2012. These opinions were supported in these papers by results obtained using the geometric algebra for describing power properties of electrical circuits and reactive compensator design. This paper presents critical comments to these papers. It shows that their authors were able to apply the geometric algebra to only single-phase circuits with linear loads but the current decomposition they obtained was known 40 years earlier. The same applies to reactive compensators design, thus the results obtained in the commented papers are dramatically obsolete with regard to the current state the power theory development and state of the knowledge on compensation. The suggestion that the algebra of complex numbers, successfully used now for linear circuits analysis, should be superseded by the geometric algebra was not supported by any credible argument. It was not shown that geometric algebra is superior over the circuit analysis based on the algebra of the complex numbers. Quite opposite, it makes this analysis dramatically much more complex, without any benefits for this complexity. It does not contribute to our comprehension of power-related phenomena in electrical circuits.

PL

Istnieją opublikowane opinie sugerujące, że algebra liczb zespolonych, tak jak jest ona używana w analizie obwodów, teorii mocy i syntezie kompensatorów reaktancyjnych, powinna być zastąpiona algebrą geometryczną. Takie opinie zostały przedstawione w artykułach “The IEEE Standard 1459, the CPC-based Power Theory, and Geometric Algebra in Circuits with Nonsinusoidal Sources and Linear Loads”, oraz “Advantages of Geometric Algebra Over Complex Numbers in the Analysis of Linear Networks with Nonsinusoidal Sources and Linear Loads”, opublikowanych w IEEE Transactions on Circuits and Systems-I, w 2012 roku. Opinie te zostały poparte wynikami ilustującymi zastosowanie algebry geometrycznej w teorii mocy oraz w metodach syntezy kompensatorów reaktancyjnych. Niniejszy artykuł przedstawia krytyczną ocenę tych artykułów. Pokazuje, że ich autorzy byli w stanie zastosować algebrę geometryczną wyłącznie do obwodów jedno-fazowych z odbiornikami liniowymi, jednak otrzymali jedynie ortogonalny rozkład prądu odbionika, znany już od lat 40-tu. To samo dotyczy syntezy kompensatorów reaktancyjnych. Wyniki te są dramatycznie opóźnione w stosunku do obecnego stanu teorii mocy i wiedzy o syntezie kompensatorów. Opinia o tym, że algebra liczb zespolonych, która jest obecnie skutecznym i całkowicie wystarczającym narzędziem analizy obwodów liniowych, powinna być zastąpina algebrą geometryczną, nie została poparta żadnym przekonywującym argumentem. Przeciwnie, komplikuje ona dramatycznie tę analizę, bez jakichkolwiek korzyści. Nie przyczynia się też do pogłębienia interpretacji zjawisk fizycznych w obwodach elektrycznych.

Słowa kluczowe

EN

power definition; power equation; Tellegen theorem; power balance principle

PL

definicja mocy; równanie mocy; prawo Tellegena; zasada bilansu mocy

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2020
• Tom: R. 96, nr 7
• Strony: 1--7
• Opis fizyczny: Bibliogr. 20 poz., rys.

Twórcy

autor

Czarnecki Leszek S.

• IEEE Life Fellow, Distinguished Professor at the School of Electrical Eng. and Comp. Science, Louisiana State Univ., 824 Louray Dr., Baton Rouge, USA, LA 70808

autor

Almousa Motab

• IEEE Life Fellow, Distinguished Professor at the School of Electrical Eng. and Comp. Science, Louisiana State Univ., 824 Louray Dr., Baton Rouge, USA, LA 70808

Bibliografia

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• [2] Castro-Nunez, M. Castro-Puche, R., Advantages of Geometric Algebra Over Complex Numbers in the Analysis of Linear Networks with Nonsinusoidal Sources and Linear Loads, IEEE Trans. on Circ. and Syst.-I, Vol. 59, No. 12, pp. 2056-2064, 2012.
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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).