CONSIDERATION OF THE NONLINEARITY OF THE MAGNETIZATION CURVE IN THE CALCULATION OF MAGNETIC CHAINS WITH A MOVING ELECTROMAGNETIC SCREEN

ABSTRACT

In the article, it was found that using the method of quadrupole theory to take into account the nonlinearity of the magnetization curve in the calculation of magnetic chains of moving screen converters, this method allows to obtain results that are very close to practice. It is also based on the fact that it is possible to further increase the accuracy of the calculation by determining the magnetic resistances in each section of the converter magnetic circuit by the average value of the induction.

АННОТАЦИЯ

В статье определено, что использование метода четырехполюсной теории для учета нелинейности кривой намагничивания при расчете магнитных цепей преобразователей с подвижным экраном позволяет получить результаты, очень близкие к практике. Он также основан на том, что можно еще больше повысить точность расчета, определяя магнитные сопротивления в каждом сечении магнитопровода преобразователя по среднему значению индукции.

Keywords: moving screen, magnetic system, magnetization curve, magnetic capacitance, magnetic flux, excitation coil.

Ключевые слова: подвижной экран, магнитная система, кривая намагничивания, магнитная емкость, магнитный поток, обмотка возбуждения.

Introduction

By calculating the magnetic chains of the moving screen converter magnetic circuits taking into account the curvature of the magnetization curve, the results can be approximated to the results obtained on an experimental basis. The simplest method of calculating magnetic chains by considering the magnetization curve is B.K. Proposed by Bul. According to it, the calculated magnetic circuit is divided into several parts (usually 2 to 6 for magnetic chambers with a moving electromagnetic screen) and each part is described as a P- or T-shaped passive quadrupole with a permanent complex magnetic resistance. These quadrupoles will consist of  complex magnetic resistance ( magnetic virginity according to the energy-information model of chains) and  conductivity (magnetic capacity according to the energy-information model of chains). The parameters of the quadrupoles are determined using the expressions given in the literature.

A newly created device protected by a patent for the invention [1] A moving screen device developed using a magnetic core is symmetrical, so it is sufficient to create an exchange circuit for a part of it.

When the electrical conductivity of the moving screen is infinitely large, the switching scheme of this magnetic chain is further simplified (Fig. 1). That is, since  it is sufficient to perform calculations only for the left part of the magnetic chain exchange circuit. In this case, the value of the scattering magnetic fluxes of the screen is considered to be so small that it cannot be taken into account.

Figure 1. Switching circuit of the converter magnetic chain

Results and Discussion

Given that the exchange scheme of the magnetic circuit under consideration is described as T-shaped passive quadrupoles, the determination of the input and output magnitudes of these quadrupoles is carried out in the following sequence.

Based on the given  magnetic flux, the equivalent complex magnetic resistance at the first quadrupole output   and the magnetic voltage  are determined.

The length of the first section is , the induction is  and the magnetization curve Using Figure 2, the complex magnetic resistance of a ring core with a moving screen and a ring core without a moving screen is determined by  and the magnetic capacitance   between these ring cores:

Where is  specific complex magnetic resistance of the first section and у  the magnetization curve of the material through the expression is determined using Figure 2;  – the magnetic capacity per unit length of the air gap between the annular cores.

Figure 2. Current of magnetic induction dependence of active and reactive specific magnetic resistance of 3413 steel

Т from the expressions of the simon quadrupole ,  magnetic resistance for the first part, taking into account the equations   is determined as follows:

The magnetic voltage at the first quadrupole input  and the magnetic flux  are determined using the following expressions:

 and  after determining the values of s, the magnetic voltage  and the magnetic flux  at the second quadrupole input are determined as follows:

Where is

   – the relative complex magnetic resistance of the second section and у  The magnetization curve of the material through the expression is determined using Figure 2;  – the magnetic capacity per unit length of the air gap between the annular cores.

The total magnetic flux, scattering magnetic flux and magnetic voltage in the newly created moving screen converter magnetic circuit exchange circuit are determined as follows:

Conclusion

Given the nonlinearity of the material magnetization curve in movable screen converter magnetic chains, this method allows to obtain results that are very close to practice, although they are simpler than other methods. In the considered method it is possible to further increase the accuracy of the calculation by determining the magnetic resistances in each section of the magnetic circuit by the average value of the induction.

List of used literature:

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