Entry 4

1 Three-phase electric Lanziug 5

1.1 Designation of phase and line jets 6

1.2. The value of the stress between points a and b 8

1.3 Designation of active tension triphasic lanceug 9

1.4 Pobudova vector diagrams strum and topographic

voltage diagrams 10

Visnovok 15

List of vowels gerel 16

Entry

Usі methodi rozrahunka lanzyugіv snake struma are subdivided into two groups: rozrahunok for mittevim meanings and rozrahunok for important meanings strumіv that tension.

Under the hour of rozrahunka for mittevim meanings, there are equalities for the laws of Kirchhoff for mittievih meanings. Whom has a system of differential equals. Razrakhovuєmo mittєvі znachennya strumіv that naprug for okremih momentіv o'clock, scho vіdstayut one type of one per hour interval t.

When rozrahunku for fluctuating values ​​lead the form of tension and strums to sinusoidal. Virazhayut sinusoidal value in a complex view and establish a system of equalities in a complex view. The algebraic system of equals emerges from complex coefficients, as if it were violating in the mind of a savage person through the variables.

Most often, the analysis of the fluctuations in the fluctuations of the stream and the voltage is measured by the method of complex amplitudes (symbolic method).

Nine low programs for EOM, with the help of which it is easy to find out about the clock area. For example, Micro-Cap.

1 Three-phase electric lanceug

On little one 1, a scheme of a three-phase lanzug is induced. It has a three-phase generator (which creates a three-phase symmetrical sinusoidal EPC system) and a symmetrical drive. Chinne value of the EPC phase of the generator E A period T, parameters R 1 L, C 1 are indicated in table 1. Take the zero phase of the EPC e A.

Required:

1.1 Significance of phases and linear streams;

1.2 Calculate the stress between points a and b;

1.3 Signify the active tension of the triphasic lancet;

1.4 Induce vector flow diagram and topographic stress diagram;

Table 1 - Weekly dates before the date

Figure 1 - Scheme 1.19

Designation of phase and line streams

To know whether it's a strain, it's necessary to know the strumi. When z'ednanny with a starry linear stream phase strumam. The aim is more symmetrical, so the null wire can be omitted, so that the strum is all the same equal to zero. The modules of the strum phases are adjusted, and the phase response between them is 120 degrees. At the link with cym, it is possible to carry out a rozrahunok for more than one phase, for example, phase A.

Zastosovuєmo symbolically method of rozrahunka, for some support, strumi and tension is necessary for a complex look. Anteriorly, it is necessary to open up the opir of reactive elements. Frequency f=1/T=1/0.02=50 Hz. Kutova frequency ω = 2πf = 314 s -1.

Opir drotu line (div. baby 2)

Figure 2 - Three-phase line diagram

We know the complex of repeated support phase A

Complex of infancy significance struma pershoї phase dorіvnyuє

Here is the complex of the developing value of the EPC phase A dorіvnyuє

EPC and strums of two other phases are ventilated one by one only at the same time as 120 pro phases.

1.2 Determining the stress between pointsaіb

In order to know the voltage U ab, it is necessary to fold the contour, until the voltage is increased, and apply another Kirchhoff law (div. Fig. 3).

Figure 3 - Dіlyanka lanceug

Mitteve the value of the voltage is correct

314t+119 0) B.

1.3 Designation of active tension in the triphasic lancet

Significantly active tension in phase A

P A \u003d I 2 A * R 1 \u003d

2 * 17.32 = 146.66 watts.

Active straining of the entire triphasic lancet is healthy

P = 3 * P A = 3 * 146.66 = 439.98 W.

1.4 Pobudova vector flow diagrams and topographic stress diagrams

We choose the scale of the stream and the voltage. The number of volts and amperes in units can be a multiple of 1, 2, 5, multiply by 10 ± n, where n is a whole number. Choose the scale to deposit according to the value of the stream and the pressure, as it is necessary to depict on the diagram. We write down the complex of the strum and the voltage phase A:

On the topographic diagram (Fig. 4) it is necessary to show the potentials of all points shown on the scheme small 1.

Figure 4 - Strum diagram and topographic stress diagram

Visnovok

In this robot, a three-phase electric lance is given, it is presented in small 1. For this scheme, I have determined the phase and linear streams, the voltage between points a and b, the active tension of the three-phase lance, inducing a vector diagram of the stream and a topographic diagram of the voltage.

List of vicorists dzherel

Bezsonov L.A. Theoretical foundations electrical engineering. Electric stake. Great school. M: - 1984-559 p.

Nekrasova N.R., Panfilov S.A. course work from electrical engineering. MDU. Saransk: -2004-102 p.

Line strum when the phases are connected, priimach with a tricutnik is more different in vectors in two phase streams, which is connected with it by the first law of Kirchhoff.
The shape of the curved phase e.d. for the manifestness of the third harmonic in the magnetic flux of the shear. The designation of the shape of the curve of the reactive warehouse struma, which is magnetized, for the presence of the third harmonic in the magnetic flux of the shear. Viniknennya ptokospetslennya FS, umovlenny struma r3 potrynoї frequency, scho create electromagnetic transitions IN LINES ZV'YAZKU. Linear strum, which is more common in phase strums, may have a characteristic slender shape (Fig. 2 - 59, i); third harmonies, which are in phase streams, in linear streams are daily.
Linear strum is better than the difference of phase strums, hence, there will be no third harmonics in the linear strum: stench will establish a system of zero sequence, so the difference of the third harmonics of phase strums will be equal to zero.
Linear jets can be assigned to additional vector diagrams, as shown in fig. 5.6. At asymmetric ambition systems of phase and linear streams are non-symmetrical. However, the change in the bias at the phases of the priming does not break the symmetry of the voltage just the same, as in the case of a star with a zero dart.
The line strum is installed in the boundaries of 40-t-b Pro with a single-wire system and 20 - 1 - 25 mA with chotiri.
Linear strum looks like a field of two parallels - near the flat boundary, there are linear wires with strums / і 4, straightened in the opposite side. Por_vnyuyuchi rice. 3 - 17 and 3 - 18, we reconsider that in the region / (above the xOy area) wash both heads the same. Yakshcho pіdіbrati fіktivny strum It in such a rank, schob buli vykonnі borderline minds of the main task, the vector of the field can be in the area / easily rozrahuvat.
Linear strum / flow along the Z axis from the far point z - oo to the cob of coordinates. At the XY plane, it expands into the cob of coordinates on all sides step by step.
Linear strum / flow along axis Z in a positive direction, taking the cob at the infinitely distant point z - oo.
Linear streams are significantly graphically behind additional vector diagrams.
Linear streams are graphically significant behind additional vector diagrams, for which we know active jet streams phases.
Linear streaks with an even navantage, equal to differences in phase streaks, also establish a symmetrical system of streaks (Fig.
The linear strum at the time of the phases is priymacha with a tricot with a more varied vector in two phase currents, as it is related to it by the first law of Kirchhoff.
Linear strum is a more geometrical difference between two phase strums. The vector of the linear stream from the bottom of the vector of the phase streams, drawn from one point, and straightened to change.
Linear strum/A depends on vector diagrams.

Linear streams are designed graphically with vector diagrams, presented on the page.
Deadline 8 – 10. | Deadline 8 – 10. | Up to tasks 8 - 10.
Linear strum 1A is marked by vector diagrams.
Linear streaks 1B and 1c are similar in magnitude to the phasic streaks IAB and ICA, as shown in fig. 51, a y equal. It is necessary to determine the speed of the phases of the strums as much as possible, it is possible to work for the help of a protractor, swaying the winds between the opposite nectors on the diagram, slewed in a great scale.
Linear strum looking at the two-parallel field - near the flat boundary, there are linear wires with strums /i/x, straightened in the opposite side. The middle, in which there are qi droti, is the same as the penetration of qg. Por_vnyuyuchi rice. 3 - 17 and 3 - 18, we reconsider that in the region / (above the xOy area) wash both heads the same.
Linear streams, which are included in the case of bipolar telegraphing, must be changed over the streams of inductive jumps by 15 mA.
A linear stream of force / flow along an unskinned contour, made by the sides of a straight cut.
Linear strums IAg, Ivs and AC make a closed tricutnik.
Linear jets of saving electric power are shown by the vector diagrams in fig. 7.8: 1l - 15 9 A; / - 15 9 A; /s 27 32 A.
Three-phase circuit from the middle point. Strum curves when connecting the windings of the D/Y transformer. Linear streams of the primary windings, as a rule for a three-phase system, are calculated by way of calculation of the difference between phase streams.
On the surface and linear streams connected with singularities / (d), you can’t see the sound of roses. Tse vіdpovіdaє znevagi ruhom vzdovzh osі z realї zіrtsі.
If small linear streams, which are stuck in membrane electrolyzers, can technically be stuck in such kind of contacts.
The first harmonic linear strumi 1A, 1B and 1C are dependent on the first law of Kirchhoff.

The curves of the linear streaks of the EDSP were created by a significantly smaller world, the lower curves of the strums of the transformation; the smaller ones appear and create curves of the voltage, called by the EDSP robot.
The first harmonious linear strumi І A, 1B and 1C are determined according to the first law of Kirchhoff.
Z'ednannya with a star. Z'ednannya trikutnik. A linear strum/l is a strum that flows in one of the wires of a three-wire (three-phase) line.
Designate the line voltage and the voltage, as if the charge is starry, and the phase voltage is more than 220 V.
Designate linear streaks and tension and induce a vector diagram of stresses and strums.
Designate linear strums and strums zero dart yakscho support zero drota can be nekhtuvat, and support priymachiv: Zl 6 j8 ohm; Z2 - / 20 ohm; Z3 10 ohm.
Know linear streams, how to support a group of lamps to control: ZAB10 ohm; ZBC 2Q ohm; ZCA22 ohm.
Calculate the linear struma and voltage of the skin phase, as if the focus is on the eyes, and the phase voltage is the same 127 Art.
Designate the linear strum at the rail (strum at the primary winding of the autotransformer), as it seems that the transformation coefficient is 173, and the linear strum of the motor with no middle connection is 60 A.
Indicate a total linear strum, slowing down the dviguns.
The rozrahunkovy line strum is indicated in amperes by two the highest values phase streams
Wash your mind §.| The Lanzug vector diagram is shown in. Indicate the phase and linear streams, as well as the active tension of the entire lance, as long as the linear voltage is 380 V.

Choose phases and linear streams, even up to a measure with a symmetrical linear voltage Un 220 V, connecting priymach, phases of any plant with a tricutnik.
Choose phases and linear streams, even up to a measure with a symmetrical linear tension and 127 V connections to a phase receiver, which is connected with a tricutnik.
Boundary allowable value of idling struma d. 1st three-phase asynchronous motors. For the linear stream of an unfriendly move, the arithmetic mean of the results of the win in three phases is taken.
Designate phases and linear streams; induce the scale of the vector diagram by specifying the new vector and voltage and strum.
The arithmetic mean of three streaks is taken as the effective value of the linear strum.
Designate phases and linear streams; tightness, which spozhivaetsya priymach; 2) induce the vector diagram of the voltage and strum.
The arithmetic mean of the three digits is taken for the effective linear strum of idling / about the arithmetic mean.

Triphasic lances: phasic and linear struma, tension, tightness

Three-phase electric lance call the name of the marriage of three electric lancers, They have sinusoidal EPCs of the same and the same frequency, the destruction of one at the same time in phase and the creation of a powerful energy jet - a three-phase generator. Okremi lancers that enter the warehouse of such a lancer are called phases and sound are denoted by letters A, AT, W, And the consistency of EPC, which occurs in these phases, as well as the consistency of the flow and the voltage of the phases are called three-phase EPC system, strum_v and voltage. The three-phase EPC system (strum, voltage) is called symmetrical, even the EPC (stream, voltage) of all phases are equal in amplitude and damage, one of one in phase per cut 2π / 3, otherwise a three-phase system is called asymmetrical. Vrіvnovazhenoyu call such a triphasic lanceug, mitteva tightness elements that do not lie in the hour, that neuro-important- in a different direction. Vrіvnovazhenіst є important yakіstyu triphazny lantsyug. So, the moment on the shaft three-phase generator in such systems it is constant, and not pulsing with a cutoff frequency of 2? We show the price on the butt of the lancet from the symmetrical EPC system:

Todi mitteva pressure of a three-phase generator p = p A + p B + pc = 3EI cosφ = R= const deposit at hour.

AT three-phase systems there are two main ways to get the elements together - z'ednannya trikutnikі Z'ednannya with a star. On fig. 1.25 a presents a complex replacement circuit for the Lanziug, the phase of the generator ( BUT, AT, W) that priymacha ( a, b, h) like a star hit with a neutral dart that hits a node 0 and 0 " ; in fig. 1.25 b- scheme for closing with a star without neutral dart; in fig. 1.25 in a complex scheme for replacing the lancet, the phase of the generator and the priymacha, which is connected with a tricot, is presented. At the same time, the symmetry is like a generator, and so is the strum I 0 in neutral dart, what are the nodes 0 and 0 " in lanceuzi rice. 1.25 a, up to zero: I 0 = I A + I B + I C\u003d 0. Often the faults in such cases are daily (Fig. 1.25, b), and also for starting generators and accepting victories there are only three line darts strumami I A, I B, I C Deputy of six wires single-phase lances. Tshomu has one more advantage of three-phase systems. In case of non-symmetry of the streaks in the phases, a strum flows along the neutral dart I 0 , the amplitude of which sound is less than the amplitude of the linear streams I A, I B, I C. Therefore, the neutral wire cut is chosen by a smaller cut of the line wires.

When connecting a symmetrical generator with a tricot (div. Fig. 1.25, in) the sum of phase EPCs is equal to zero, due to the presence of linear streams I A, I B, I C(mode "idle") streams at the phases of the generator are also daily. It is important that the scheme in Fig. 1.25 in for the power of the generator, that vanity requires only three darts.

On fig. 1.26 a the vector diagram of the strum and the voltage of the lance shown in fig. 1.25 a, in the case of the symmetry of the EPC system, i navantage, but in fig. 1.26 b a similar diagram is presented for symmetrical lanceug Rice. 1.25 in. The idea is important for active-inductive (tobto. ). From the view of the tricot of the tension (Fig. 1.26, a) next, what are the linear voltages U AB = U BC = UCA = U l connected with phase voltage U A = U B = U C = U f spіvvіdnoshennyam . Similarly, looking at the tricot strumiv (Fig. 1.26, b), it is possible to record a call for line calls I A = I B = I Z = I l and phase I AB = I BC = ICA = I f strumiv: . Take it to respect U f = U l/, I f = I l U f = U l, U f = I l /, may be for active pressure on the priymach independently from the air R= Z U f I f cosφ = , U l I l cosφ.

Similarly, for a new reactive tension symmetrical three-phase primach

The more symmetrical three-phase system EPC (voltage, strum) is called symmetrical system of direct sequence. In the next phase, the EPC (voltage, strum) changes by 2l; / 3 in the order of the passage of the phases A, B, C- Oskіlki tse shown for EPC in fig. 1.28 a. Order of such a system in electrical engineering symmetrical system of reverse sequence, in the current phase, the EPC (voltage, strum) changes by 2l / 3 in the order of the phases BUT, Z, AT(Div. fig. 1.28, b)і symmetrical system EPC (voltage, strum) zero sequence, in yakіy faznі kuti EPC (voltage, strumіv) zbіgayutsya. It is obvious that the analysis of symmetrical systems of reversal and zero sequences can also lead to the task of analyzing one phase, for example, phase BUT.

To complete the task of analyzing the triphasic lancet infamous looking, then. such a lance, in which the system of phase EPCs (voltage, strum) is not

symmetrical systems, tobto. the amplitude of the EPC (voltage, strum) is not equal to the values ​​and / or cuti zsuvu EPC (voltage, strum) is not equal to 0, (Fig. 1.28, in), then such a three-phase lancet can be looked at just like a folding lancet. In electrical engineering, however, rozrahunka navit such lances lead to rozrahunku only one phase - call the phase BUT. Tse appear possible when vikoristanny the method of symmetrical warehouses (the Fortesque method). Vіdpovіdno to tsgogo method be-yaku asymmetric system Three-phase EPCs (voltage, streams) represent a total of three symmetrical three-phase EPC systems (voltage, streams) in the form of direct, reverse and zero sequences, some simpler ones and can be carried out for one phase. In this way, understanding about the symmetrical three-phase EPC systems (voltage, strum) in electrical engineering is used to describe the processes of navit such lances, in which the systems of such EPC (voltage, strum) are really similar.

Line voltages are ventilated as phase voltages at √3 times.

U AB \u003d U A -U B, V

U BC \u003d U B -U C, V

U CA \u003d U C -U A,

Strumi in zero dart:

I N \u003d I A + I B + I C, A

P=√3Uicosφ, W

Q=√3Uisinφ, var

Trikutnik- this is the same way, if the end of the first winding of the dzherel comes to the cob of the other, the end of the other - to the cob of the third, the end of the third - to the cob of the first; linear rods are attached to the windings' closing points.

When joining in trikutnik:

Stresses of linear and phase lines

Strumi linear ventilate in phase at √3 times.

I A \u003d I AB -I CA, A

I B \u003d BC -I AB, A

I C \u003d I CA -I BC,

Tension is assigned to the formula

P=√3Uicosφ, W

Q=√3Uisinφ, var

The task of rozrahunka of the three-phase lancer is affected by the designated strums at the phases of the priming, at the wires of the line, as well as the tightness of the priming in the skin phase and in general, as well as setting the linear voltage, phase support. In a symmetrical lance, the support of the phases of the primach is the same, and on the yogo symmetrical system line voltage. For such a lancet, it is sufficient to conduct an examination of one phase, so that the tightness in all phases is the same.

butt 4 . Before the generator (Figure 34) with line voltage U l \u003d 220 In connection with the spozhivach, z'ednany trikutnik. Active Opir skin phase R f \u003d 8 Ohm, inductive X Lf \u003d 6 Ohm.
Designate a strum at the skin phase of the generator, which will make it tighter and induce a vector diagram.

Malyunok 34

Solution. Tension on the skin phase U f one linear pressure generator U l.

U f \u003d U l \u003d 220 V

Opir phase:

Z f \u003d √ R f 2 + X Lf 2 \u003d √ 8 2 + 6 2 \u003d 10 Ohm.

I f \u003d U f / Z f \u003d 220/10 \u003d 22 A.

Linear strum of a gentleman, z'ednanny trikutnik:

I l \u003d √3 If \u003d 1.73 ∙ 22 \u003d 38 A.

Pressure, which is generated by the generator (pressure is active):

P \u003d √3 U l ∙ I l ∙cosφ \u003d 1.73 ∙ 220 ∙ 38 ∙ 0.8 \u003d 11570 W,

cosφ \u003d R f / Z f \u003d 8/10 \u003d 0.8; then φ = 37 pro

so that the strum of the phase is relaxed in the presence of a voltage on the cut = 37 °, an inductive character. The calculated values ​​formed the basis of the vector diagrams (Figure 35).

Malyunok 35

Catering until control robot №2.

Option 1

1. Naphtha and electrical insulating oils. Technology

2.Sklo: warehouse, methods of production, characteristics. Quartz. Quartz slope. Zastosuvannya warehouse in electrical engineering.

Option 2

1. Steatite: warehouse of power. Capacitor ceramics

2. Natural and synthetic rubbers. Your shortcomings. Vulcanization technology.

Option 3

1. Classification of electric ceramics. Electrical porcelain, yoga components, manufacturing technology, basic electrical and mechanical characteristics of porcelain.

2.Ftoroplast-4. physical and chemical, thermal and mechanical power.

Option 4

1. Insulation materials based on mica: mica, micafolia, mica, mica.

2. Electric insulating paper and cardboard. Technology of possession, rіznovidi, technological vimogi, zastosuvannya.

Option 5

1. Zastosuvannya of various gas-like dielectrics.

2.Polystyrene. Polyethylene. Polyurethane. Polyvinyl chloride. Electrical, mechanical, thermal characteristics and zastosuvannya.

Option 6

1. The power of that sphere of plastics stoking. Sharuvaty plastics.

2. Synthetic rare dielectrics. Rіznovidi, domineering, zastosuvannya.

Option 7

1. Mineral dielectrics: asbestos and asbestos cement, their dominance and stagnation.

2. Compounds: classification, recognition, storage, storage in electrical engineering.

Option 8

4. Enamel warehouse, power, classification, stamps, enamels.

5. Polyvinyl chloride. Polyvinylchloride plastic compound. Vihіdnі materials and technology otrimannya. Electrical, mechanical, thermal characteristics and polymerization.

Option 9

1. Organosilicon, polyamide dielectrics. Їх otrimannya, power and zastosuvannya.

2. Fiber, її otrimanna that zastosuvannya. Textile electrical insulation materials.

Option 10

1.Plastics: manufacturing technology, warehouse and classification.

2. Understanding about lacquers, wimogi before them. Warehouse and classification of lacquers, the scope of their zastosuvannya.