Calculation of leakage inductance at the end of stator winding of AC/DC hybrid power supply generator

1 Introduction Stator leakage reactance plays an important role in the transient process of the motor. Therefore, the accurate calculation of the leakage inductance at the end of the winding is important for the analysis and simulation of the generator's juice setting and motor over-wave process. The power supply generator can provide both AC and DC power.

There are multiple sets of symmetrical windings on the stator, and the sleeve provides phase alternating current. Known as the 卞 winding, the other phase windings provide DC power through the rectifier bridge. Known as the secondary hunger, the end of the hairpin is actually a multi-layer coil with different sizes. The calculation of the leakage inductance at the end of the end, especially the leakage inductance at the end between the main and auxiliary windings, has not been reported in the literature.

In the past, in the design and simulation analysis of ordinary motors, the empirical formula was used to calculate the leakage of the stator end. 3. With the development of the electromagnetic field calculation method, many scholars have studied the end electromagnetic field, mainly in analyzing the motor around the end of the hunger. The force and end heating groups use the equivalent current plate method to process the relative current 35, taking into account the total effect of the phase winding. However, in the method of using one line as the base 1, this method can be handled in a discrete manner. 4, the National Natural Science Foundation of China, 59777007, and the State Education Commission's doctoral key research fund 97,00367 funded projects.

Wang Shanming was born in 1972. He is a Ph.D. student in the Department of Electrical Engineering at Tsinghua University. He currently studies motor analysis and control.

The concept of ferromagnetic mirroring and air gap current is used in the calculation. However, the analysis of Document 4 is obtained without considering the position of the winding end bell and the lower layer of the winding, which will cause a certain error. V.

Under the condition of position, the calculation formula of the leakage inductance at the end of AC/DC hybrid power supply generator is deduced. According to the formula, the calculation program of the end leakage inductance is compiled. The results are compared with the experimental results of the test coil on the prototype.

The calculated end magnetic field of the end leakage inductance is a dimensional field, and there are various media such as air and iron in the end portion, which needs to be simplified. First, the air gap current is used instead of the air gap. When an imaginary air gap current flows through the air gap, the air gap no longer exists, and the analyzed question becomes that the side is iron and the other side is air. Then, according to the concept of ferromagnetic mirroring, the effect of the ferromagnetic medium is replaced by the mirror current, and the end magnetic field is simplified as the magnetic field generated by the end current air gap current and their mirror image in a uniform air medium.

A cylindrical coordinate system of 1 is established, which is a line end of a curtain. 00 and Ke 7 are on a cylindrical surface with two radii and ugly and +. Let the coil end, 0 5, and the path be short and the current direction is opposite, which can be ignored in the calculation. It also shows the location of the field. The magnetic density generated by each current on the conical surface is described below, at the end cylindrical surface! The resulting magnetic density can be seen as a special case of magnetic density produced on a conical surface. As long as the cone angle is taken to be zero degrees, the magnetic flux density of the current at the end of the straight line at the end of the 2.1 is the axial current source of the point on the cylindrical surface (4) the normal magnetic force generated by the radius of the cone surface and the point at one point. dense.

The projection on the circular surface is 0, especially determined by Biotsal.

6 flows through the turbulent flow, then the air gap current is divided into the line MllUJW4MrTt.rSk ratio, the factory is the pole logarithm, the mechanical angle of the coil space 9 air gap current and radial current also have their own mirror image. The radial current is 18 perpendicular to 1 and the elevation, so 15 is particularly in the end face 05, and 18 is perpendicular to the 5 plane, so 16 is perpendicular to 5. The normal component on the cylindrical surface at the special point is a must, =, it is projected to the normal direction of the conical surface to obtain the normal component on the conical surface, that is, this = if the axial coordinate of the point is the point of mind The axial coordinate is then = 2, 2, 8 =, and the straight portion of the opposite end is stretched and summed. The entire straight line can be used for 6 points in the normal magnetic density factory where the point is produced. It is the straight line part of the upper and lower line, and they are mirrored on two cylindrical faces with different radii.

In order to obtain the straight portion of the end portion, the normal magnetic density generated at the point 1 of the conical blood at the end conical blood can be changed as follows: the change of the stone segment is changed to 02 in the formula 2, and the day is changed into the hole +, and + The hole is the radius of the cylindrical surface where it is located.

The paragraph replaces the change of the formula 2 into 62, 7 and replaces it with 2+5, and the negative sign is preceded by a minus sign. At 1 o'clock, the magnetic flux is generated by the current of the end portion of the 12-end portion of the extension line. If the current is 71, it is decomposed into axial circumferential and radial components, that is, 2 from 6 to sum. Then, when the action of each segment of current is also applied, the corresponding change is also made. 2.2.2 The magnetic density generated by the circumferential current is the point on the circular surface where the fire point is located, such as the circumferential current from the point. The resulting 45 is perpendicular to the plane, but 18 is not perpendicular to the cylindrical surface where the defect is located. , 6 can be broken down into two separate shots. One of the squares in the circular plane is the most square, and the other is not perpendicular to the axial component 5 of the cylindrical surface. Both will produce a normal component on the conical surface, = the total normal component of the conical surface generated by the circumferential current is 22.1. The magnetic capacitance generated by the axial current is the same as the result of the formula 1 in Equation 7. 7 from 6 to sum. The current of each segment of the current is also used as a corresponding transformation. 2.2.3 The magnetic density generated by the current is a point, and the projection of the 1 point on the circular surface where the ruler is located. Such as the pavilion 5, the vertical line from the ruler 6, the intersection with 05, the past 3 points for the intersection with the 0.

The radial current of the point produces a vertical point 纟 and that is, it must be perpendicular to the flat of the box. It is not a conical surface. It can be decomposed into a component in the circular surface. 1 and the axial component 14 of the cylindrical surface. Both components will be Produces a normal component on the conical surface. The total normal component of the conical surface generated by the radial current is, for example, 2 from 6 to sum. When the action of each segment current is applied, the corresponding transformation is also performed.

The magnetically dense air gap current generated by the air gap current includes a mirrored common section. The effect of the air gap current is similar to the effect of the circumferential current in the involute line portion. It can be found in a similar way. The air gap current inside the coil is generated at a particular point and is the radius of the air gap current. From 02 to the air gap current outside the coil, the normal magnetic density generated at the point of the coil divides the current of each part of the energized coil into many small currents. The source can find the normal magnetic density generated by each current source at a certain point on the cylindrical or conical surface, and sum it to obtain the total normal magnetic density generated by the energized coil at a certain point. The magnetic flux surrounded by the non-energized coil is obtained by summing the product of the normal magnetic density and the cell area on the two inter-coil units, and multiplied by the number of turns divided by the current to obtain the mutual leakage inductance. When calculating the leakage magnetic self-inductance coefficient at the end of the coil, the internal inductance caused by the inner flux linkage of the wire rod should also be added. The value is 2. It is the end of the coil.

3 Experimental verification According to the above method, the end leakage sensing program was compiled and verified on the prototype. The stator of the prototype has a set of alternating current windings around the stator, wherein the sleeve is different from the rest of the sleeve, called the main winding, and the other sets are the secondary winding sisters. The set of turns 纟1 is evenly distributed in the stator. In order to verify the convenience and accuracy, the coils of the same shape and size as the end portions of the winding phase are also wound, which are also referred to as the main and auxiliary test coils respectively, and are tied to the end portions of the sleeves of the stator. The line test line has an end portion, and a portion in the special groove is energized in each phase of the main and auxiliary windings during the closing experiment at the end face of the Stator Core, and the voltage on the test coil is measured and compared with the calculated value. The number of slots per phase per pole of the main winding is 5, 44, 5 for the number of windings of the bucket; the number of windings per phase of the secondary winding is 16 for the number of windings; the test coils are all 40 turns. The comparison between the measured value and the calculated value is as shown in 1 and 2.

It can be seen from the comparison of the data in the data that the calculation of the end leakage inductance is close to the actual riding value. When the auxiliary winding is energized, the number of slots and the number of turns of the auxiliary test coil are small, and the current of the energization is small, and the induced voltage is higher than that of the energized winding. Main test coil phase voltage, test calculation test coil test calculation test coil 2 phase voltage, test calculation test coil test calculation test coil test calculation main winding phase main winding 8 phase main winding phase sub winding, 1 phase sub winding, phase sub winding 1 phase secondary winding. 42 phase secondary winding 32 phase secondary winding 02 phase secondary winding, 3-phase secondary winding 83 phase secondary winding 03 phase secondary winding person 4 phase secondary winding 134 phase secondary winding 04 phase main test coil test coil energization winding current A test calculation test calculation test Computational test calculation, calculation of the influence of the main winding phase winding 1 phase winding 2 phase secondary winding 3 phase secondary winding 4 phase 4 end geometry to the end leakage. The mutual leakage inductance of the end portion 1 of each phase winding becomes larger as the length of the tapered portion of the end portion increases.

The relationship between the size and the leakage inductance of the end is studied by the method of calculating the end leakage inductance of the front end. The possible conditions of the dimensions of the end are calculated separately. The summary is as follows: 1 without changing the end extension. When the angle of the bell is long and the angle of the bell mouth, the mutual leakage inductance of each phase winding is long with the end straight portion without changing the straight portion of the end portion and the total elongation of the end portion, and the ends of the respective phase windings are self-leakage. The sense will increase as the angle of the end flare increases. In the case where the straight portion of the end portion and the total length of the end portion are constant, the mutual leakage inductance of the end portions of the respective phase windings increases and then decreases with the angle of the end bell mouth.

5 Conclusion From the perspective of output voltage equivalent, the phase single switching power factor calibration is equivalent to the team converter of the working corpse 01. The simplified equivalent circuit can correctly reflect the fire of the original circuit; the dynamic and steady state characteristics of the first . So far. The single-switching power factor corrector can only be designed with trial and error and the simplified model proposed by Muwen makes the design straightforward and easy. Another contribution of this paper is to make the frequency domain design of the regulator possible and very easy.

1 Cai Xuan. Gong Shaowen. High-frequency power electronics DC-DC conversion part. Beijing: Science Press. 1993.

3 Yu Xiangxu, Hou Zhencheng. Simplified large-signal model of phase-switched power factor corrector. 2000 China Power New Technology and Application Seminar, North g, Received 20017, connected to page 5, when increasing the radius of the cylindrical surface where the windings are located, the end of each phase winding is self-leakage with the radius of the cylindrical surface. Adding and decreasing, the mutual leakage inductance between the main and auxiliary windings is not only related to the above factors, but also related to the relative size of the two, and needs to be calculated and analyzed according to the situation.

5 Conclusion The calculation method of the end leakage inductance when the mouth and winding are layered, the experimental measurement of the end of the motor is called the method, and the influence of the end geometry on the leakage inductance is studied. In the text, 6696002 Gao Jingde, Qiu Shiban, Li Fahai. Analysis of AC motors and their systems. Beijing Tsinghua University Press. 1993.

Received date 2000