The model of the position-dependent noncommutativety in quantum mechanics is proposed. We start with a given commutation relations between the operators of coordinatesˆx i , ˆ x j = ω ij (ˆ x), and construct the complete algebra of commutation relations, including the operators of mo-menta. The constructed algebra is a deformation of a standard Heisenberg algebra and obey the Jacobi identity. T...

A new configuration of a resonant full-bridge flying capacitor multicell inverter has been designed and constructed with the aim of achieving an extended output voltage frequency range with low harmonic distortion and reduced semiconductor commutation losses. This configuration was tested as a power supply for two different coaxial dielectric barrier discharge reactors, one of them employed for...

The centralizer of a set of words X is the largest set of words C(X) commuting with X: XC(X) = C(X)X. It has been a long standing open question due to Conway, 1971, whether the centralizer of any rational set is rational. While the answer turned out to be negative in general, see Kunc 2004, we prove here that the situation is different for codes: the centralizer of any rational code is rational...

This paper presents a power control structure for a brushless permanent magnet electric machine, where both generating and motoring operation modes using the same power stage coexist using a digital control scheme. In the generating mode, desired dynamic output such as constant power and constant torque can be achieved for use in an exercise bicycle, where the input power generated by pedaling ...

This paper presents a combined phase-shift and frequency modulation scheme of a dual–active-bridge (DAB) ac– dc converter with power factor correction (PFC) to achieve zero voltage switching (ZVS) over the full range of the ac mains voltage. The DAB consists of a half bridge with bidirectional switches on the ac side and a full bridge on the dc side of the isolation transformer to accomplish si...

In this Brief Communication we present a new mathematical tool, which we call local spectrum analysis, that can be used to obtain information about local spectral content of the commutation error in large eddy simulations and its dependence on the filter shape and the non-uniformity of the filter width. To illustrate these theoretical findings, the local commutation spectrum analysis is applied...

US conscription in the Civil War is analyzed. Conscription was designed to gain federal control of enlistments, leaving state and local governments much of the fiscal and administrative responsibility for raising troops. Due to the hiring of substitutes, the payment of a fee to avoid service (commutation), and community-provided funds, only 2% of those who served were conscripted. Theory sugges...

An exact discretization of the canonical commutation and corresponding uncertainty relations are suggested. We prove that the canonical commutation relations of discrete quantum mechanics, which is based on standard finite difference, holds for constant wave functions only. In this paper, we use the recently proposed exact discretization of derivatives, which is based on differences that are re...

In this paper, an intelligent control strategy based on combination of the “flatness based control technique” and the “perturbation and observation (P&O) MPPT algorithm” is developed and investigated to control a hybrid electric energy source (HEPS). This EHPS is composed of a fuel cell system (FC) and a solar panel (SP), as the main source and a supercapacitor bank (SC), as the auxiliary sourc...