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”?

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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used for circuits analysis, power theory of electrical circuits and methods of reactive compensators design should be superseded by geometric algebra.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 The suggestion that the algebra of complex numbers, successfully used now for linear circuits analysis, should be superseded by the geometric algebra was not supported by any credible argument.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.

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Przeglad Elektrotechniczny

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