Research website of Vyacheslav Gorchilin
2017-08-10
The graph of dependence of magnetic permeability on intensity of magnetic field
β-version
 The oscillator frequency, Hz The Resistance Of R1 In Ohms The number of turns of winding L1 Length of the middle line of the core, mm The number of turns of the winding L2 The cross-sectional area of the core, mm2
 Table (editing)tableGraph μ(H)Schedule M(I)
 # U1, IN U2IN H, A/m B, MT μ +1 —
To clear the table
μ0= μmin= μmax= μmax0= Kη2()=
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Detail
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The calculator is intended for carrying out laboratory work for obtaining some of the parameters and graphs of dependence of magnetic permeability of ferromagnetic materials on the magnetic field. Another important parameter calculated in this calculator, — potentially attainable growth rate of the efficiency of the second kind — Kη2, the theory of which is fully reflected in these studies. This ratio is calculated for the parametric change of inductance with back EMF in the coil, which can be done on the basis of this laboratory work. Also, you can determine the current settings of the generator, which will output this coil on the working mode to a real device. An example of an actual measured performance of the ferrite ring is here.
The scheme of the stand for laboratory work is shown below. Generator of sinusoidal signals G1 through a resistance R1, energizes the toroidal winding L1 of the transformer T1. The entire transformer contains two coils that are wound on a ferromagnetic core with its different sides. On the second winding (L2) measured voltage U2. Actually, the laboratory work consists in feeding gradually increasing the amplitude of the signal of the generator G1, and record the readings of the voltages U1 and U2 in the table. The program calculator will automatically convert them to values of induction and magnetic field strength, to plot and find the value of Kη2. The more obtained values (dots), the more accurate will the result.

Program for automatic calculation is very important that the voltages U1 increased with time (svehu and down according to the table). If you want to add another point between the already previously created — just tap (+) between the desired table rows.

To delete the same row in a table just by clicking on (—).
But the program starts its calculations, you must first enter data on the frequency of the generator G1 and constructive parameters of the transformer core T1. These data are entered once at the beginning and do not change throughout the laboratory work. And, if the frequency of the generator resistance R1 and winding L1 data-L2 all clear, the "Length of the midline core, and cross-sectional Area of the core", there may be questions. Depending on the core construction, these parameters can be calculated in different ways. For example, for a toroidal core mean line length is: lm = (D + d)*π/2, and the cross-sectional area, as follows: Sc = (D - d)*h/2 where: D — external diameter of the ring torroid, d — inner diameter, π is the number PI, h is the height of the ring.

The stand shows the toroidal transformer, but its design may be different: square, s-shaped, armor, etc. For the calculator will suit any — it is important to set the parameters length and area of the core.

In more detail, and other structures of the cores, the calculation of these parameters can be found here.

Please note that all length and area are considered to be in millimeters.

What initial settings should I choose?
The oscillator frequency is selected within the range of operating frequencies of the ferromagnetic core. If there are several studies, then first select the lowest frequency, for example 50Hz. The number of turns of the windings L1 and L2, for greater accuracy, you need to do as much as possible, but not less than 50. The resistance R1 should be selected in area 10..30 Ohm.
How to measure?
To measure the voltage U1-U2 can be like two multimeters and a dual beam oscilloscope. The first method is suitable for small frequencies: usually the multimeters is designed for the frequency range 50..1000 Hz. The second method allows you to ascend to a higher frequency. In this case, the oscilloscope, you should select the measurement mode of voltage — RMS.

Generally speaking, for a full study of the ferromagnetic core need few laboratory works, each at its operating frequency. For example, 100, 1000 and 10,000 Hz.

What is output?
As a result of constructing the table, we get a graph of the dependence μ(H) and one M(I), which may be needed for these calculations and finding the optimal mode current in a real device. Also, displays some key values of magnetic permeability (μ0 is the initial permeability, μmin is the minimum for the whole chart is the permeability, μmax — maximum) and coefficient Kη2.
The value of this coefficient can be recalculated for a different range of values, it is enough to click on schedule to be recalculated Kη2 in the selected range. The range will be highlighted in green. It may be useful to adjust the work area is current in a real device. We must remember that the range reduces the number of measurement points, and hence the accuracy of the calculation.
Can the calculator calculate only the initial permeability?
Yes. If the core feature is not needed, simply enter the basic data and to bring at least one dimension in the table. It must be carried out at the smallest input voltage, but such that the accuracy of the measurements U1 and U2, were sufficient.
Will be lost if the table data if you close the browser window?
Data is stored in the local storage of the browser and when opening the window, they regenerate.
How much data is stored in the browser?
The data is stored until you open a new project the link. Such a reference can be obtained if you click on the "Share" button. In this case, the data is overwritten with the new project.
You can also click on the button "Clear table" then local memory is cleared along with the table. It may be convenient to start a new laboratory work.
As it is more reliable to store data?
Click on the "Share" button and copy the link to your computer. By the way, this link can be shared with friends and teachers to show their laboratory work (your project).
To remove
Two fields must contain numeric values!
The field can contain only numbers and a point!
Not filled in some basic fields.
Are you sure you want to clear the table and local memory?