CN102810388A - Transformer and shunting magnet voltage adjustment method thereof - Google Patents

Abstract

The invention discloses a transformer and a shunting magnet voltage adjustment method thereof. The transformer mainly comprises a main magnetic flux closed iron core frame (1), a primary coil (2) and a secondary coil (3), and is connected in parallel with one or more magnetic valves; one or more pairs of coils with equal winding turns are respectively arranged on magnetic columns on two opposite sides of a magnetic valve closed iron core frame (4) of each magnetic valve; the end sockets of each pair of the coils are connected directly, and the other end sockets are connected in series with a direct current supply; and a connection iron core (5) is arranged between the main magnetic flux closed iron core frame (1) and the magnetic valve closed iron core frame (4). The shunting magnet voltage adjustment method of the transformer comprises the steps as follows: the main magnetic flux closed iron core frame (1) divides the whole magnetic circuit into a primary magnetic circuit and a secondary magnetic circuit according to the primary coil (2) and the secondary coil (3), and then is connected in parallel with one or more magnetic valves, so as to form one or more shunting magnet circuit(s); in addition, the shunting magnet circuits change the magnetic flux traversing through a secondary winding loop by controlling the saturation degree of the magnetic valves, and can adjust the magnitude of the secondary output voltage, and can output constant voltage. The transformer and the shunting magnet voltage adjustment method thereof can satisfy the stabilized voltage requirement of a user.

Description

A kind of transformer and transformer thereof divide the method for magnetic regulation voltage

Technical field

The present invention relates to the method that a kind of transformer and transformer thereof divide the magnetic regulation voltage.

Background technology

Traditional transformer is an iron core frame, around last first and second coil.First and second voltage and first and second coil turn concern as follows: transformer one of which, the secondary coil number of turn of

practicality are fixed; I.e.

this formula explanation; The secondary voltage of distribution transformer changes with the electrical network primary voltage, and almost linear.In case electrical network is because load variations will cause voltage ripple of power network, and the magnitude of voltage that is fed to user side departs from the GB limits, and the user side electric equipment can not be operated near its rated voltage, and the electric equipment energy conversion efficiency is low, waste of energy is big.When voltage deviation is serious, also can cause power consumption equipment cisco unity malfunction or damage.

The mode of electrical network regulation voltage mainly relies on equipment such as main transformer, generator, reactive power compensator to carry out the voltage pressure regulation.But a large amount of at present distribution transformers that use can not carry out real-time regulated voltage; Can only be seasonal and under power down mode; Carry out manual operation and regulate shunting switch; Reach the purpose of regulation voltage, promptly existing distribution transformer can not can not satisfy the stable requirement of user side voltage according to grid voltage change real-time regulated voltage swing.

Summary of the invention

For addressing the above problem, the method that the present invention provides a kind of minute magnetic pressure-adjusting type transformer and transformer thereof to divide the magnetic regulation voltage.

A kind of minute magnetic pressure-adjusting type of the present invention transformer mainly is made up of the iron core-closed frame of main flux, primary winding, secondary coil, and the iron core-closed frame of its main flux both sides are the magnetic post; Be provided with primary winding on one side, another side is provided with secondary coil, it is characterized in that parallelly connected one or more magnet valve; Its magnet valve is provided with the iron core-closed frame of magnet valve; The relative both sides of the iron core-closed frame of its magnet valve are the magnetic post, are respectively equipped with one or more pairs of coils of the equal number of turn on the magnetic post of both sides, and every pair of coil branch is located on the magnetic post of both sides; Directly tie mutually every pair of coil one termination, another termination serial connection DC power supply; Iron core-closed frame of main flux and the iron core-closed frame of magnet valve are overall structure.

Magnet valve in the middle of the iron core-closed frame of main flux, both sides or solid space become the parallel connection relation.The serial connection DC power supply is preferably by this transformer secondary coil out-put supply rectification direct-furnish.

A kind of transformer divides the method for magnetic regulation voltage; The iron core-closed frame of its main flux; According to primary winding, secondary coil whole magnetic circuit is divided into magnetic circuit and secondary magnetic circuit; Parallelly connected more one or more magnet valves, its magnet valve be provided with the iron core-closed frame of magnet valve link to each other with a secondary part the iron core-closed frame of main flux, form one or more fen magnetic magnetic circuit; The relative both sides of the iron core-closed frame of its magnet valve are the magnetic post, are respectively equipped with one or more pairs of coils of the equal number of turn on the magnetic post of both sides, and every pair of coil branch is located on the magnetic post of both sides, and directly tie mutually every pair of coil one termination, another termination serial connection power supply; Divide the degree of saturation of magnetic magnetic circuit, change and pass through secondary winding loop magnetic flux, regulate the size of secondary output voltage, form the constant voltage output of setting through the control magnet valve.Be the real-time voltage that magnet valve is gathered electrical network automatically, compare,, realize that the secondary output voltage values equates with set point according to the size that both differences are regulated magnet valve DC excitation electric current automatically with voltage setting value.

In transformer, increase the method for dividing the magnetic magnetic circuit.After a winding is connected sinusoidal ac, promptly in iron core, produce magnetic flux Φ ₁, its external voltage U ₁With the magnetic flux phi that produces ₁Relation is: U ₁=4.44fN Φ _1m=2 π fN Φ ₁=ω N Φ ₁(annotate: U ₁, Φ ₁Be effective value, Φ _1mBe amplitude).Magnetic flux Φ ₁Flow through behind " O " point, be divided into magnetic flux Φ ₂With magnetic flux Φ _z, magnetic flux Φ ₂The secondary winding of flowing through induces voltage U ₂, U ₂=4.44fN Φ _2m=2 π fN Φ ₂=ω N Φ ₂(annotate: U ₂, Φ ₂Be effective value, Φ _2mBe amplitude), magnetic flux Φ _zFlow to magnet valve.Φ ₂=Φ ₁-Φ _Z, Φ ₁Size is by external voltage U ₁Size decision, i.e. U ₁Necessarily, Φ ₁Also certain.If reduce Φ _ZΦ then ₂Increase U ₂Increase thereupon; Otherwise increase Φ _ZΦ then ₂Reduce U ₂Reduce thereupon.Through changing Φ _ZSize, can realize secondary winding output voltage U ₂Size, promptly realize the regulation voltage function.

The iron core-closed frame of main flux, connection iron core and the iron core-closed frame of magnet valve are overall structure, help adapting to the traditional handicraft of transformer production, because the iron core of transformer is ferromagnetic substance (like silicon steel sheet, a non-crystaline amorphous metal etc.).For the ease of explanation, the present invention explains with silicon steel sheet.And the present invention to be every silicon steel sheet all the be provided with iron core-closed frame of main flux zone, connect iron core zone and the iron core-closed frame of magnet valve zone.Many silicon steel sheets just become the iron core-closed frame of main flux after superimposed, connect iron core and the iron core-closed frame overall structure of magnet valve.The magnet valve power supply adopts by the direct-furnish of this transformer secondary coil out-put supply rectification becoming DC power supply.Prevent to adopt other DC power supply generation feed to influence operate as normal.

Magnet valve is gathered the real-time voltage of electrical network automatically, compares with voltage setting value, and the size according to both differences are regulated magnet valve DC excitation electric current realizes that the secondary output voltage values equates with set point.

The adjusting of magnet valve magnetic flux size: magnet valve by the parallel connection of two magnetic posts after, linking to each other with main magnetic circuit is integrally formed again; Be wound with the coil of the equal number of turn on two magnetic posts respectively, an end is knot mutually directly, other end serial connection DC power supply; When direct current when a pair of coil midstream is moving, the magnetic flux of generation forms loop in two magnetic posts, direct current is big more, the loop magnetic flux is big more; To a fixing magnetic circuit, magnetic flux is big more, and the magnetic saturation degree is high more, and magnetic resistance is big more, and the size of promptly controlling direct current is the magnetic resistance size of may command magnet valve; The change of magnet valve magnetic resistance size can change the size of the magnetic flux of flowing through.Each magnet valve can have some to dc coil, all can reach as above effect.

Description of drawings

Fig. 1 is a traditional single phase transformer device structure sketch map

Fig. 2 is traditional three-phase transformer structural representation

Fig. 3 is the magnetic circuit topological diagram

Fig. 4 is a branch magnetic circuit composition diagram

Fig. 5 is the single-phase minute magnetic transformer structure chart of a kind of magnet valve of the present invention in the centre

Fig. 6 is the single-phase minute magnetic transformer structure chart of a kind of magnet valve of the present invention in a side

Fig. 7 is the single-phase variation magnetic pressure device structure chart that a kind of magnet valve of the present invention is the ∏ type

Fig. 8 is a branch magnetic pressure-adjusting type transformer magnetic circuit isopleth map

Fig. 9 is a branch magnetic pressure-adjusting type transformer equivalent circuit diagram

Figure 10 is a branch magnetic pressure-adjusting type transformer equivalent circuit diagram of ignoring leakage reactance

Figure 11 is a branch magnetic pressure-adjusting type transformer equivalent circuit diagram of taking into account leakage reactance

Figure 12 is abundant saturated minute magnetic pressure-adjusting type transformer of a magnet valve equivalent circuit diagram

Figure 13 is that secondary side breaks off equivalent circuit diagram

Figure 14 is that primary side breaks off equivalent circuit diagram

Figure 15 is a magnet valve excitation control chart

Figure 16 is the control chart of magnet valve excitation DC and output voltage

Figure 17 is the equivalent magnetic circuit Parameter Map

Figure 18 is the equivalent magnetic circuit reduced graph

Figure 19 is equivalent mutual inductance circuit figure

Figure 20 is equivalent self-induction circuit figure

Figure 21 is equivalent self neutralizing frequency figure

Figure 22 takes into account leakage field equivalence self neutralizing frequency figure

Figure 23 is a mutual inductance conversion equivalent magnetic circuit Parameter Map

Figure 24 is a secondary side voltage relationship figure

Embodiment

According to common single-phase transformer shown in Figure 1; Main flux iron core-closed 1 is that square frame is iron core-closed, mainly is made up of the iron core-closed frame of main flux 1, primary winding 2, secondary coil 3, and the iron core-closed frame of its main flux both sides are the magnetic post; Be provided with primary winding 2 on one side, another side is provided with secondary coil 3.The present invention is parallelly connected one or more magnet valves on the basis of common single-phase transformer; Its magnet valve is provided with the iron core-closed frame 4 of magnet valve; The iron core-closed frame of its magnet valve 4 relative both sides are the magnetic post, are respectively equipped with one or more pairs of coils of the equal number of turn on the magnetic post of both sides, and every pair of coil branch is located on the magnetic post of both sides; Directly tie mutually every pair of coil one termination, another termination serial connection power supply.Be provided with between the iron core-closed frame 1 of main flux and the iron core-closed frame 4 of magnet valve and be connected iron core 5, the iron core-closed frame of main flux 1, to connect iron core 5 be overall structure with the iron core-closed frame 4 of magnet valve.The present invention can be divided into magnetic circuit and secondary magnetic circuit with whole magnetic circuit according to first and second winding.On the basis of a present magnetic circuit and secondary magnetic circuit, parallelly connected again branch magnetic magnetic circuit.Divide the magnetic magnetic circuit by the magnet valve iron core with once, the secondary magnetic circuit iron core partly that links to each other forms.

The magnet valve iron core by two magnetic column iron core 4 parallel connections after, be connected as a body with the single-phase transformer iron core again; Be wound with the coil of the equal number of turn on two magnetic posts respectively, this two coil is called " a pair of coil "; Its connected mode is shown in figure 15, and directly tie mutually a termination, another termination serial connection direct current.

Magnet valve iron core 4 has multiple mode by the form of two magnetic column iron core parallel connections.Its single-phase minute magnetic transformer version that is a kind of magnet valve of the present invention in the centre shown in Figure 5; The single-phase minute magnetic transformer structure chart form that is a kind of magnet valve of the present invention in a side shown in Figure 6, the single-phase variation magnetic pressure device structure chart form that is the ∏ type for a kind of magnet valve of the present invention shown in Figure 7.

Iron core is that traditional silicon steel sheet is formed by stacking, and the easiest way is to comprise the iron core-closed zone of square frame, connection iron core zone and magnet valve iron core zone on the every silicon steel sheet, and is overall structure, and whole stamping.Each sheet is overlapped into whole iron core then.

After a winding is connected sinusoidal ac, produce magnetic flux Φ in the winding iron core ₁, this magnetic flux Φ ₁A part flows into secondary winding iron core Φ ₂, a part flows into magnet valve iron core Φ _Z, satisfy Φ ₁=Φ ₂+ Φ _Z

According to shown in Figure 7 be following voltage-regulation principle:

After a winding is connected sinusoidal ac, promptly in iron core, produce magnetic flux Φ ₁, its external voltage U ₁With the magnetic flux phi that produces ₁Relation is: U ₁=4.44fN Φ _1m=2 π fN Φ ₁=ω N Φ ₁(annotate: U ₁, Φ ₁Be effective value, Φ _1mBe amplitude).Magnetic flux Φ ₁Flow through behind " O " point, be divided into magnetic flux Φ ₂With magnetic flux Φ _z, magnetic flux Φ ₂The secondary winding of flowing through induces voltage U ₂, U ₂=4.44fN Φ _2m=2 π fN Φ ₂=ω N Φ ₂(annotate: U ₂, Φ ₂Be effective value, Φ _2mBe amplitude), magnetic flux Φ _zFlow to magnet valve.Φ ₂=Φ ₁-Φ _Z, Φ ₁Size is by external voltage U ₁Size decision, i.e. U ₁Necessarily, Φ ₁Also certain.If reduce Φ _ZΦ then ₂Increase U ₂Increase thereupon; Otherwise increase Φ _ZΦ then ₂Reduce U ₂Reduce thereupon.Through changing Φ _ZSize, can realize secondary winding output voltage U ₂Size, promptly realize the regulation voltage function.

The adjusting of magnet valve magnetic flux size: magnet valve by the parallel connection of two magnetic posts after, linking to each other with main magnetic circuit is integrally formed again; Be wound with the coil of the equal number of turn on two magnetic posts respectively, this two coil is called " a pair of coil ", and its connected mode is as shown in Figure 7, and an end is knot mutually directly, other end serial connection DC power supply; When direct current when a pair of coil midstream is moving, the magnetic flux of generation forms loop in two magnetic posts, direct current is big more, the loop magnetic flux is big more; To a fixing magnetic circuit, magnetic flux is big more, and the magnetic saturation degree is high more, and magnetic resistance is big more, and the size of promptly controlling direct current is the magnetic resistance size of may command magnet valve; The change of magnet valve magnetic resistance size can change the size of the magnetic flux of flowing through.Each magnet valve can have some to dc coil.

2, divide magnetic pressure-adjusting type transformer pressure regulation method

According to (, ignoring leakage flux) shown in Figure 7 for ease of explanation.

(1) with a minute magnetic pressure-adjusting type transformer magnetic circuit principle of induction explanation pressure regulation method:

As a winding N ₁After connecting sinusoidal ac, produce magnetic flux Φ in the winding iron core ₁, this magnetic flux Φ ₁A part flows into secondary winding N ₂Iron core Φ ₂, part flows into magnet valve iron core Φ _Z, satisfy Φ ₁=Φ ₂+ Φ _Z

After a winding energising, promptly in iron core, produce magnetic flux Φ ₁, its external voltage U ₁With the magnetic flux phi that produces ₁Relation is: U ₁=4.44fN Φ _1m=2 π fN Φ ₁=ω N Φ ₁Magnetic flux Φ ₁Flow through behind " O " point, be divided into magnetic flux Φ ₂With magnetic flux Φ _z, magnetic flux Φ ₂The secondary winding of flowing through induces voltage U ₂(U ₂=4.44fN Φ _2m=2 π fN Φ ₂=ω N Φ ₂), magnetic flux Φ _zFlow to magnet valve.Φ ₂=Φ ₁-Φ _Z, Φ ₁Size is by external voltage U ₁Size decision, i.e. U ₁Necessarily, Φ ₁Also certain.If reduce Φ _ZΦ then ₂Increase U ₂Increase thereupon; Otherwise increase Φ _ZΦ then ₂Reduce U ₂Reduce thereupon.Through changing Φ _ZSize, can realize secondary winding output voltage U ₂Size, promptly realize the regulation voltage function.

Magnet valve magnetic flux Φ _ZThe size adjusting: magnet valve by the parallel connection of two magnetic posts after, linking to each other with main magnetic circuit is integrally formed again; Be wound with the coil of the equal number of turn on two magnetic posts respectively, this two coil is called " a pair of coil ", and its connected mode such as Fig. 7, an end be knot mutually directly, other end serial connection DC power supply; When direct current when a pair of coil midstream is moving, the magnetic flux of generation forms loop in two magnetic posts, direct current is big more, the loop magnetic flux is big more; To a fixing magnetic circuit, magnetic flux is big more, and the magnetic saturation degree is high more, and magnetic resistance is big more, and the size of promptly controlling direct current is the magnetic resistance size of may command magnet valve; The change of magnet valve magnetic resistance size can change the size of the magnetic flux of flowing through.Each magnet valve can have some to dc coil.

(2) with a minute magnetic pressure-adjusting type transformer equivalent circuit explanation pressure regulation method:

According to shown in Figure 8 for dividing a magnetic pressure-adjusting type transformer magnetic circuit isopleth map.R _M1, R _M2, R _MzThe magnetic resistance of winding of difference, secondary winding, magnet valve iron core.

According to shown in Figure 9 for dividing a magnetic pressure-adjusting type transformer equivalent circuit diagram.

${\mathrm{<figure-callout\; id="1"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{R}_{m2}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})},$ ${{\mathrm{<figure-callout\; id="2"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c}^{\&prime;}=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{R}_{m1}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})},$

$X_m=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{R}_{\mathrm{mz}}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})}.$

l _c, S _c, μ _cBe respectively equivalent length, sectional area, the magnetic permeability of magnet valve magnetic circuit, μ _c=B/H.Saturated along with minute magnetic magnetic circuit magnet valve, μ _cConstantly reduce R _MzThen constantly increase, at this moment X _C1, X _C2Constantly reduce X _mConstantly increase.

Work as R _Mz→ ∞, X _C1→ 0, X _C2→ 0,

The branch magnetic pressure-adjusting type transformer of this moment has become conventional transformer.

Obviously, along with X _C1→ 0, X _C2→ 0, U ' ₂→ U ₁, i.e. transformer transmission pressure drop constantly changes, and has realized the voltage-regulation process.

(3) with first and second side voltage relationship explanation pressure regulation method:

${\stackrel{\&CenterDot;}{U}}_2=-\frac{\frac{R_{\mathrm{mz}}}{R_{\mathrm{mz}}+R_{m2}}\frac{N_2}{N_1}}{(1+\frac{\mathrm{j\&omega;}{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2/Z_L}{R_{\mathrm{mz}}+R_{m2}})}{\stackrel{\&CenterDot;}{U}}_1=-\frac{R_{\mathrm{mz}}\frac{N_2}{N_1}}{(R_{\mathrm{mz}}+{\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+\mathrm{j\&omega;}{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2/Z_L)}{\stackrel{\&CenterDot;}{U}}_1,Z_L=R_L+j{X}_L$

Saturated along with minute magnetic magnetic circuit magnet valve, μ _cConstantly reduce R _MzThen constantly increase, at this moment U ₂Constantly increase; Work as R _Mz→ ∞,

The magnetic pressure-adjusting type transformer of this moment has become conventional transformer.

According to above-mentioned principle, as long as just establish branch magnetic magnetic circuit magnet valve when unsaturated, output voltage U ' ₂Be in the lower limit of voltage, control the magnetic circuit degree of saturation then, can realize the adjusting of voltage.

3, divide magnetic pressure-adjusting type transformer parameter method of measurement

(1) it is shown in figure 10 to ignore the branch magnetic pressure-adjusting type transformer equivalent circuit of leakage reactance:

Wherein, $\left\{\begin{array}{c}{{\mathrm{<figure-callout\; id="2"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c}^{\&prime;}=\frac{{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2}{{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2}{X}_{c2}\\ {{\mathrm{<figure-callout\; id="2"\; label="U"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">U</figure-callout>}}_2}^{\&prime;}=\frac{N_1}{N_2}{U}_2\\ {I_2}^{\&prime;}=\frac{N_2}{N_1}{I}_2\end{array}\right.,$

${\mathrm{<figure-callout\; id="1"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{R}_{m2}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})},$ ${{\mathrm{<figure-callout\; id="2"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c}^{\&prime;}=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{R}_{m1}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})},$

$X_m=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{R}_{\mathrm{mz}}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})}.$

(2) take into account branch magnetic pressure-adjusting type transformer equivalent circuit such as Figure 11 of leakage reactance:

X ₁, X ₂Be leakage reactance, X _C1, X _C2Anti-for minute magnetic magnetic circuit to the branch magnetoelectricity that first and second coil produces, ignore its coil loss, can draw by above:

$\left\{\begin{array}{c}{\stackrel{\&CenterDot;}{U}}_1=({\mathrm{<figure-callout\; id="1"\; label="X"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_1+X_{c1}){\stackrel{\&CenterDot;}{I}}_1+X_M{\stackrel{\&CenterDot;}{I}}_0\\ {{\stackrel{\&CenterDot;}{U}}_2}^{\&prime;}=-({{\mathrm{<figure-callout\; id="2"\; label="X"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_2}^{\&prime;}+{{\mathrm{<figure-callout\; id="2"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c}^{\&prime;}){{\stackrel{\&CenterDot;}{I}}_2}^{\&prime;}-X_M{\stackrel{\&CenterDot;}{I}}_0\\ {{\stackrel{\&CenterDot;}{U}}_2}^{\&prime;}=-{{\stackrel{\&CenterDot;}{I}}_2}^{\&prime;}{Z_L}^{\&prime;}\end{array}\right.$

Wherein $\left\{\begin{array}{c}\frac{{{\mathrm{<figure-callout\; id="2"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c}^{\&prime;}}{{\mathrm{<figure-callout\; id="2"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c}=\frac{{{\mathrm{<figure-callout\; id="2"\; label="X"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_2}^{\&prime;}}{{\mathrm{<figure-callout\; id="2"\; label="X"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_2}=\frac{{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2}{{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2}\\ \frac{{{\mathrm{<figure-callout\; id="2"\; label="U"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">U</figure-callout>}}_2}^{\&prime;}}{{\mathrm{<figure-callout\; id="2"\; label="U"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">U</figure-callout>}}_2}=\frac{N_1}{N_2}\\ \frac{{I_2}^{\&prime;}}{I_2}=\frac{N_2}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}\end{array}\right.$

(3) leakage reactance X ₁, X ₂Measurement method

The measurement method of leakage reactance, order divide magnetic magnetic circuit magnet valve iron core fully saturated:

Promptly $R_{\mathrm{mz}}=\frac{l_c}{{\mathrm{\&mu;}}_c{S}_c}\&RightArrow;\&infin;$

At this moment: ${\mathrm{<figure-callout\; id="1"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{R}_{m2}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})}\&RightArrow;0,$

${{\mathrm{<figure-callout\; id="2"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c}^{\&prime;}=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{R}_{m1}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})}\&RightArrow;0,$

$X_m=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{R}_{\mathrm{mz}}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})}\&RightArrow;\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2}{({\mathrm{<figure-callout\; id="1"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{m2})}.$

Divide magnetic pressure-adjusting type transformer equivalent circuit such as Figure 12:

Above circuit is conventional transformer, can measure leakage reactance by conventional method.

(4) divide magnetoimpedance X _C1, X _C2And excitation impedance X _mThe measurement method of value

Divide magnetic magnetic circuit magnet valve core sataration degree different, corresponding branch magnetoimpedance X _C1, X _C2And excitation impedance X _mValue is also different, and concrete measurement method is following:

1. let secondary side break off, can draw following equivalent electric circuit Figure 13:

Thereby, can obtain:

$\left\{\begin{array}{c}{\stackrel{\&CenterDot;}{U}}_1=({\mathrm{<figure-callout\; id="1"\; label="X"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_1+X_{c1}){\stackrel{\&CenterDot;}{I}}_{10}+X_m{\stackrel{\&CenterDot;}{I}}_{10}\\ {{\stackrel{\&CenterDot;}{U}}_2}^{\&prime;}=-X_m{\stackrel{\&CenterDot;}{I}}_{10}\end{array}\right.$

2. let primary side break off, can draw following equivalent electric circuit Figure 14:

Thereby, can obtain:

$\left\{\begin{array}{c}{{\stackrel{\&CenterDot;}{U}}_2}^{\&prime;}=-({{\mathrm{<figure-callout\; id="2"\; label="X"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_2}^{\&prime;}+{{\mathrm{<figure-callout\; id="2"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c}^{\&prime;}){{\stackrel{\&CenterDot;}{I}}_{20}}^{\&prime;}-X_m{{\stackrel{\&CenterDot;}{I}}_{20}}^{\&prime;}\\ {\stackrel{\&CenterDot;}{U}}_1=X_m{{\stackrel{\&CenterDot;}{I}}_{20}}^{\&prime;}\end{array}\right.$

Can calculate impedance X by no load test _C1, X _C2And excitation impedance X _mValue.

4, the control method of magnet valve structure and magnet valve excitation DC size:

Magnet valve by the parallel connection of two magnetic posts after, linking to each other with main magnetic circuit is integrally formed again; Be wound with the coil of the equal number of turn on two magnetic posts respectively, this two coil is called " a pair of coil ", and each magnet valve can have some to coil, its connected mode such as figure below.One end is directly tied mutually, other end serial connection DC power supply.When direct current when a pair of coil midstream is moving, the magnetic flux of generation forms loop in two magnetic posts; Direct current is big more, and the loop magnetic flux is big more; To a fixing iron circuit, magnetic flux is big more, and the magnetic saturation degree is high more, and promptly magnetic resistance is big more; Therefore the size of controlling direct current is the size of may command magnet valve magnetic resistance, has realized the size of exchange flux in the control magnet valve.

According to Figure 15, be the control method of magnet valve excitation DC size shown in 16.Gather the transformer secondary voltage U in real time ₂, according to given transformer secondary voltage desired value U _2e, calculate Δ U ₂=U ₂-U _2e, again according to Δ U ₂Calculate magnet valve excitation DC I _d, the size through regulating the DC power supply electromotive force or the size of its loop resistance change the size of direct current, finally make the transformer secondary output voltage change; For the second time, gather the transformer secondary voltage U more in real time ₂Move in circles, constantly revise the Circuit Fault on Secondary Transformer output voltage U ₂, make it approach desired value U _2e

5, use

Such transformer can be widely used in city, the public distribution transforming in rural area, isolated user, and is more important for the rural area long distance powedr transmission especially, can realize stablizing the user side quality of voltage, guarantees the operation of electric equipment energy-saving safe.

6, divide magnetic pressure-adjusting type transformer equivalent circuit inference method:

(1) equivalent circuit parameter is shown in figure 17

In magnet valve, the direct current equal and opposite in direction, in the opposite direction, thus external circuit there is not influence, only because of the direct current size influences the magnet valve saturation, to R _MzBig or small influential, so simplify magnetic circuit figure shown in figure 18:

Kirchhoff's law by magnetic circuit gets,

$\left\{\begin{array}{c}{\mathrm{<figure-callout\; id="1"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m{\mathrm{\&phi;}}_1+{\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m{\mathrm{\&phi;}}_2=N_1{\mathrm{<figure-callout\; id="1"\; label="i"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">i</figure-callout>}}_1+N_2{i}_2\\ {\mathrm{<figure-callout\; id="1"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m{\mathrm{\&phi;}}_1+R_{\mathrm{mz}}{\mathrm{\&phi;}}_z=N_1{\mathrm{<figure-callout\; id="1"\; label="i"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">i</figure-callout>}}_1\end{array}\right.$

Again by ∑ φ _i=0, draw φ _z=φ ₁-φ ₂

Thereby, obtain:

$\left\{\begin{array}{c}{\mathrm{\&phi;}}_1=\frac{({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{Mz}})N_i{i}_1+R_{\mathrm{Mz}}{N}_2{i}_2}{R_{m2}{R}_{\mathrm{Mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{Mz}})}\\ {\mathrm{\&phi;}}_2=\frac{R_{\mathrm{Mz}}{N}_1{\mathrm{<figure-callout\; id="1"\; label="i"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">i</figure-callout>}}_1+({\mathrm{<figure-callout\; id="1"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{Mz}})N_2{i}_2}{R_{m2}{R}_{\mathrm{Mz}}+R_{m1}\left({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m{+R}_{\mathrm{Mz}}\right)}\end{array}\right.,$ If $\left\{\begin{array}{c}{\mathrm{\&phi;}}_1=k_{11}{N}_1{\mathrm{<figure-callout\; id="1"\; label="i"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">i</figure-callout>}}_1+k_{12}{N}_2{\mathrm{<figure-callout\; id="2"\; label="i"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">i</figure-callout>}}_2\\ {\mathrm{\&phi;}}_2=k_{21}{N}_1{\mathrm{<figure-callout\; id="1"\; label="i"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">i</figure-callout>}}_1+k_{22}{N}_2{\mathrm{<figure-callout\; id="2"\; label="i"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">i</figure-callout>}}_2\end{array}\right.$

Promptly $\left\{\begin{array}{c}{\stackrel{\&CenterDot;}{\mathrm{\&Phi;}}}_1=\frac{({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{Mz}})N_1{\stackrel{\&CenterDot;}{I}}_1+R_{\mathrm{Mz}}{N}_2{\stackrel{\&CenterDot;}{I}}_2}{R_{m2}{R}_{\mathrm{Mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{Mz}})}\\ {\stackrel{\&CenterDot;}{\mathrm{\&Phi;}}}_2=\frac{R_{\mathrm{Mz}}{N}_1{\stackrel{\&CenterDot;}{I}}_1+({\mathrm{<figure-callout\; id="1"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{Mz}})N_2{\stackrel{\&CenterDot;}{I}}_2}{R_{m2}{R}_{\mathrm{Mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{Mz}})}\end{array}\right.,$ If $\left\{\begin{array}{c}{\stackrel{\&CenterDot;}{\mathrm{\&Phi;}}}_1=k_{11}{N}_1{\stackrel{\&CenterDot;}{I}}_1+k_{12}{N}_2{\stackrel{\&CenterDot;}{I}}_2\\ {\stackrel{\&CenterDot;}{\mathrm{\&Phi;}}}_2=k_{21}{N}_1{\stackrel{\&CenterDot;}{I}}_1+k_{22}{N}_2{\stackrel{\&CenterDot;}{I}}_2\end{array}\right.$

Again from this magnetic circuit of angle analysis of phasor:

Known

then can draw (ignoring leakage flux):

$\left\{\begin{array}{c}{\stackrel{\&CenterDot;}{U}}_1=-{\stackrel{\&CenterDot;}{E}}_1=\mathrm{j\&omega;}{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1{\stackrel{\&CenterDot;}{\mathrm{\&Phi;}}}_1\\ {\stackrel{\&CenterDot;}{U}}_2={\stackrel{\&CenterDot;}{E}}_2=-\mathrm{j\&omega;}{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2{\stackrel{\&CenterDot;}{\mathrm{\&Phi;}}}_2\end{array}\right.\&DoubleRightArrow;\left\{\begin{array}{cc}{\stackrel{\&CenterDot;}{U}}_1=\mathrm{j\&omega;}{N}_1(k_{11}{N}_1{\stackrel{\&CenterDot;}{I}}_1+k_{12}{N}_2{\stackrel{\&CenterDot;}{I}}_2)& \left(1\right)\\ {\stackrel{\&CenterDot;}{U}}_2=-\mathrm{j\&omega;}{N}_2(k_{21}{N}_1{\stackrel{\&CenterDot;}{I}}_1+k_{22}{N}_2{\stackrel{\&CenterDot;}{I}}_2)& \left(2\right)\end{array}\right.$

From the angle analysis of mutual inductance, can there be following circuit diagram shown in figure 19

By the definition of mutual inductance, $\left\{\begin{array}{c}{\stackrel{\&CenterDot;}{U}}_1=\mathrm{j\&omega;}{L}_1{\stackrel{\&CenterDot;}{I}}_1+\mathrm{j\&omega;M}{\stackrel{\&CenterDot;}{I}}_2\\ {\stackrel{\&CenterDot;}{U}}_2=-\mathrm{j\&omega;}{L}_2{\stackrel{\&CenterDot;}{I}}_2-\mathrm{j\&omega;M}{\stackrel{\&CenterDot;}{I}}_1\end{array}\right.$

Wherein, $\left\{\begin{array}{c}\mathrm{\&omega;M}=\mathrm{\&omega;}{N}_1{N}_2{k}_{12}=\mathrm{\&omega;}{N}_1{N}_2\frac{R_{\mathrm{mz}}}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}\\ \mathrm{\&omega;}{\mathrm{<figure-callout\; id="1"\; label="L"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">L</figure-callout>}}_1=\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{k}_{11}=\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2\frac{{\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}}}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}\\ \mathrm{\&omega;}{\mathrm{<figure-callout\; id="2"\; label="L"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">L</figure-callout>}}_2=\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2{k}_{22}=\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2\frac{{\mathrm{<figure-callout\; id="1"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}}}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}\end{array}\right.$

Promptly $\left\{\begin{array}{c}\mathrm{\&omega;M}=\frac{\mathrm{\&omega;}{N}_1{N}_2}{{\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+{\mathrm{<figure-callout\; id="1"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+\frac{R_{m1}{R}_{m2}}{R_{\mathrm{mz}}}}\\ \mathrm{\&omega;}{\mathrm{<figure-callout\; id="1"\; label="L"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">L</figure-callout>}}_1=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2}{\frac{R_{m2}{R}_{\mathrm{mz}}}{({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}+{\mathrm{<figure-callout\; id="1"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m}\\ \mathrm{\&omega;}{\mathrm{<figure-callout\; id="2"\; label="L"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">L</figure-callout>}}_2=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2}{{\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+\frac{R_{m1}{R}_{\mathrm{mz}}}{({\mathrm{<figure-callout\; id="1"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}}\end{array}\right.$

Can find out by top formula,

$\left\{\begin{array}{c}\mathrm{\&omega;}{\mathrm{<figure-callout\; id="1"\; label="L"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">L</figure-callout>}}_1=\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2\frac{{\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}}}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{R}_{m2}}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}+\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{R}_{\mathrm{mz}}}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}\\ \mathrm{\&omega;}{\mathrm{<figure-callout\; id="2"\; label="L"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">L</figure-callout>}}_2=\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2\frac{{\mathrm{<figure-callout\; id="1"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}}}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2{R}_{m1}}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}+\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2{R}_{\mathrm{mz}}}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}\end{array}\right.$

Can the transformer that transformer is told a routine be come out (ignoring leakage flux) thus, equivalence is that following circuit diagram is shown in figure 20

Wherein:

${\mathrm{<figure-callout\; id="1"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{R}_{m2}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})},$ ${\mathrm{<figure-callout\; id="2"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2{R}_{m1}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})}$

$\mathrm{\&omega;}{\mathrm{<figure-callout\; id="1"\; label="L"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">L</figure-callout>}}_1^{\&prime;}=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{R}_{\mathrm{mz}}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})},$ $\mathrm{\&omega;}{\mathrm{<figure-callout\; id="2"\; label="L"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">L</figure-callout>}}_2^{\&prime;}=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2{R}_{\mathrm{mz}}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})}$

$\mathrm{\&omega;M}=\frac{\mathrm{\&omega;}{N}_1{N}_2{R}_{\mathrm{mz}}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})}$

According to Figure 20, can derive following equation:

$\left\{\begin{array}{c}{\stackrel{\&CenterDot;}{U}}_1=j{\stackrel{\&CenterDot;}{I}}_1{X}_{c1}-{\stackrel{\&CenterDot;}{U}}_2\left(\frac{N_1}{N_2}\right)-j{\stackrel{\&CenterDot;}{I}}_2\left(\frac{N_2}{N_1}\right)\&CenterDot;X_{c2}\left(\frac{{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2}{{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2}\right)\\ {\stackrel{\&CenterDot;}{U}}_1=j{\stackrel{\&CenterDot;}{I}}_1{\mathrm{<figure-callout\; id="1"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c+j({\stackrel{\&CenterDot;}{I}}_1+{\stackrel{\&CenterDot;}{I}}_2\left(\frac{N_2}{N_1}\right))\&CenterDot;\mathrm{\&omega;M}\left(\frac{N_1}{N_2}\right)\end{array}\right.$

It is shown in figure 21 to go up according to this equation following equivalent circuit diagram that can draw

Wherein, $\left\{\begin{array}{c}{{\mathrm{<figure-callout\; id="2"\; label="X"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_2}^{\&prime;}=\frac{{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2}{{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2}{X}_2\\ {{\mathrm{<figure-callout\; id="2"\; label="U"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">U</figure-callout>}}_2}^{\&prime;}=\frac{N_1}{N_2}{U}_2\\ {I_2}^{\&CenterDot;}=\frac{N_2}{N_1}{I}_2\end{array}\right.,$

${\mathrm{<figure-callout\; id="1"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{R}_{m2}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})},$ ${{\mathrm{<figure-callout\; id="2"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c}^{\&prime;}=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{R}_{m1}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})},$

$X_m=\frac{\mathrm{\&omega;}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{R}_{\mathrm{mz}}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})}.$

Leakage flux is taken into account, and then equivalent electric circuit is shown in figure 22:

X ₁, X ₂Be leakage reactance, X _C1, X _C2Anti-for magnet valve to the branch magnetoelectricity that first and second coil produces, ignore its coil loss, can draw by above:

$\left\{\begin{array}{c}{\stackrel{\&CenterDot;}{U}}_1=({\mathrm{<figure-callout\; id="1"\; label="X"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_1+X_{c1}){\stackrel{\&CenterDot;}{I}}_1+X_m{\stackrel{\&CenterDot;}{I}}_0\\ {{\stackrel{\&CenterDot;}{U}}_2}^{\&prime;}=-({{\mathrm{<figure-callout\; id="2"\; label="X"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_2}^{\&prime;}+{{\mathrm{<figure-callout\; id="2"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c}^{\&prime;}){{\stackrel{\&CenterDot;}{I}}_2}^{\&prime;}-X_m{\stackrel{\&CenterDot;}{I}}_0\\ {{\stackrel{\&CenterDot;}{U}}_2}^{\&prime;}=-{{\stackrel{\&CenterDot;}{I}}_2}^{\&prime;}{Z_L}^{\&prime;}\end{array}\right.$

Wherein $\left\{\begin{array}{c}\frac{{{\mathrm{<figure-callout\; id="2"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c}^{\&prime;}}{{\mathrm{<figure-callout\; id="2"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c}=\frac{{{\mathrm{<figure-callout\; id="2"\; label="X"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_2}^{\&prime;}}{{\mathrm{<figure-callout\; id="2"\; label="X"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_2}=\frac{{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2}{{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2}\\ \frac{{{\mathrm{<figure-callout\; id="2"\; label="U"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">U</figure-callout>}}_2}^{\&prime;}}{{\mathrm{<figure-callout\; id="2"\; label="U"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">U</figure-callout>}}_2}=\frac{N_1}{N_2}\\ \frac{{I_2}^{\&prime;}}{I_2}=\frac{N_2}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}\end{array}\right.$

(2) mutual inductance conversion

Shown in figure 23:

$\left\{\begin{array}{c}{\mathrm{\&phi;}}_1=\frac{({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})N_i{i}_1+R_{\mathrm{mz}}{N}_2{i}_2}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}\\ {\mathrm{\&phi;}}_2=\frac{R_{\mathrm{mz}}{N}_1{\mathrm{<figure-callout\; id="1"\; label="i"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">i</figure-callout>}}_1+({\mathrm{<figure-callout\; id="1"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})N_2{i}_2}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}\left({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m{+R}_{\mathrm{mz}}\right)}\end{array}\right.$

Transformer is carried out no-load test:

1) secondary side is opened a way:

$\left\{\begin{array}{c}{\mathrm{\&phi;}}_{10}=\frac{({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})N_i{i}_{10}}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}\\ {\mathrm{\&phi;}}_{20}=\frac{R_{\mathrm{mz}}{N}_1{i}_{10}}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}\left({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m{+R}_{\mathrm{mz}}\right)}\end{array}\right.$

Can draw thus:

$\left\{\begin{array}{c}{\stackrel{\&CenterDot;}{U}}_{10}=\frac{\mathrm{j\&omega;}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}}){{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2{\stackrel{\&CenterDot;}{I}}_{10}}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}\\ {\stackrel{\&CenterDot;}{U}}_{20}=\frac{-\mathrm{j\&omega;}{R}_{\mathrm{mz}}{N}_1{N}_2{\stackrel{\&CenterDot;}{I}}_{10}}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}\end{array}\right.$

By defining of mutual inductance and self-induction:

Mutual inductance: $\frac{-{\stackrel{\&CenterDot;}{U}}_{20}}{j{\stackrel{\&CenterDot;}{I}}_{10}}=\mathrm{\&omega;M}=\frac{\mathrm{\&omega;}{N}_1{N}_2{R}_{\mathrm{mz}}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})}$

Self-induction: $\frac{{\stackrel{\&CenterDot;}{U}}_{10}}{j{\stackrel{\&CenterDot;}{I}}_{10}}=\frac{\mathrm{j\&omega;}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}}){{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}^2}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}={\mathrm{<figure-callout\; id="1"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c+\frac{N_1}{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}\mathrm{\&omega;M}$

2) primary side is opened a way:

$\left\{\begin{array}{c}{\mathrm{\&phi;}}_{10}=\frac{R_{\mathrm{mz}}{N}_2{i}_{20}}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}\\ {\mathrm{\&phi;}}_{20}=\frac{({\mathrm{<figure-callout\; id="1"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})N_2{i}_{20}}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}\end{array}\right.$

Can draw thus:

$\left\{\begin{array}{c}{\stackrel{\&CenterDot;}{U}}_{10}=\frac{\mathrm{j\&omega;}{R}_{\mathrm{mz}}{N}_1{N}_2{\stackrel{\&CenterDot;}{I}}_{20}}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}\\ {\stackrel{\&CenterDot;}{U}}_{20}=\frac{-\mathrm{j\&omega;}{({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}}){{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2\stackrel{\&CenterDot;}{I}}_{20}}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}\end{array}\right.$

By defining of mutual inductance and self-induction:

Mutual inductance: $\frac{{\stackrel{\&CenterDot;}{U}}_{10}}{j{\stackrel{\&CenterDot;}{I}}_{20}}=\mathrm{\&omega;M}=\frac{\mathrm{\&omega;}{N}_1{N}_2{R}_{\mathrm{mz}}}{R_{m1}{R}_{\mathrm{mz}}+R_{m2}(R_{\mathrm{mz}}+R_{m1})}$

Self-induction: $-\frac{{\stackrel{\&CenterDot;}{U}}_{20}}{j{\stackrel{\&CenterDot;}{I}}_{20}}=\frac{\mathrm{\&omega;}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}}){{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2}{R_{m2}{R}_{\mathrm{mz}}+R_{m1}({\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+R_{\mathrm{mz}})}={\mathrm{<figure-callout\; id="2"\; label="X\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">X</figure-callout>}}_c+\frac{N_2}{{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}\mathrm{\&omega;M}$

(3) once shown in figure 24 with the secondary side voltage relationship

By ${\mathrm{\&phi;}}_2=\frac{R_{\mathrm{mz}}}{R_{\mathrm{mz}}+{\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m}{\mathrm{\&phi;}}_1+\frac{N_2{i}_2}{R_{\mathrm{mz}}+{\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m}$

Can get ${\stackrel{\&CenterDot;}{\mathrm{\&Phi;}}}_2=\frac{R_{\mathrm{mz}}}{R_{\mathrm{mz}}+{\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m}{\stackrel{\&CenterDot;}{\mathrm{\&Phi;}}}_1+\frac{N_2{\stackrel{\&CenterDot;}{I}}_2}{R_{\mathrm{mz}}+{\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m}$

Thereby, ${\stackrel{\&CenterDot;}{U}}_2\&ap;{\stackrel{\&CenterDot;}{E}}_2=-\mathrm{j\&omega;}{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2{\stackrel{\&CenterDot;}{\mathrm{\&Phi;}}}_2=-\frac{\mathrm{j\&omega;}{N}_2{R}_{\mathrm{mz}}}{R_{\mathrm{mz}}+{\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m}{\stackrel{\&CenterDot;}{\mathrm{\&Phi;}}}_1-\frac{\mathrm{j\&omega;}{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2{\stackrel{\&CenterDot;}{I}}_2}{R_{\mathrm{mz}}+{\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m}$

By ${\stackrel{\&CenterDot;}{\mathrm{\&Phi;}}}_1=\frac{{\stackrel{\&CenterDot;}{U}}_1}{\mathrm{j\&omega;}{\mathrm{<figure-callout\; id="1"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_1}$ Substitution gets,

${\stackrel{\&CenterDot;}{U}}_2=-\frac{R_{\mathrm{mz}}}{R_{\mathrm{mz}}+R_{m2}}\frac{N_2}{N_1}{\stackrel{\&CenterDot;}{U}}_1-\frac{\mathrm{j\&omega;}{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2{\stackrel{\&CenterDot;}{I}}_2}{R_{\mathrm{mz}}+{\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m}$

${\stackrel{\&CenterDot;}{I}}_2=\frac{{\stackrel{\&CenterDot;}{U}}_2}{Z_L}$ Substitution gets:

${\stackrel{\&CenterDot;}{U}}_2=\frac{\frac{R_{\mathrm{mz}}}{R_{\mathrm{mz}}+R_{m2}}\frac{N_2}{N_1}}{(1+\frac{\mathrm{j\&omega;}{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2/Z_L}{R_{\mathrm{mz}}+R_{m2}})}{\stackrel{\&CenterDot;}{U}}_1=-\frac{R_{\mathrm{mz}}\frac{N_2}{N_1}}{(R_{\mathrm{mz}}+{\mathrm{<figure-callout\; id="2"\; label="R\; m"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">R</figure-callout>}}_m+\mathrm{j\&omega;}{{\mathrm{<figure-callout\; id="2"\; label="N"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">N</figure-callout>}}_2}^2/Z_L)}{\stackrel{\&CenterDot;}{U}}_1,$ Z _L＝R _L+jX _L

(4) R _MzCalculate:

The DC excitation electric current, only the magnetic permeability to the magnet valve iron core has effect, and to the not influence of first and second magnetic circuit.i _cVariation cause u _cVariation, specific as follows:

By $H_c=\frac{N_c{i}_c}{l_c},$ $B_c=f\left(H_c\right)=f\left(\frac{N_c{i}_c}{l_c}\right),$ ${\mathrm{\&mu;}}_c=\frac{B_c}{H_c}$

Magnet valve magnetic resistance then $R_{\mathrm{Mc}}=\frac{l_c}{{\mathrm{\&mu;}}_c{S}_c}=\frac{l_c{H}_c}{B_c{S}_c},$ Divide magnetic magnetic circuit magnetic resistance $R_{\mathrm{Mz}}=\frac{{\mathrm{<figure-callout\; id="2"\; label="l\; c"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">l</figure-callout>}}_c}{2{\mathrm{\&mu;}}_c{S}_c}+\frac{2{\mathrm{<figure-callout\; id="3"\; label="l"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">l</figure-callout>}}_3}{{\mathrm{\&mu;}}_3{\mathrm{<figure-callout\; id="3"\; label="S"\; filenames="HSA00000772248100011.png,HSA00000772248100021.png"\; state="\{\{state\}\}">S</figure-callout>}}_3}.$

(wherein: l _cBe the length of magnet valve, l ₃For magnet valve and the length that first and second iron circuit links to each other, can be 0).

Claims (5)

1. a transformer mainly is made up of the iron core-closed frame of main flux (1), primary winding (2), secondary coil (3), and the iron core-closed frame of its main flux both sides are the magnetic post; Be provided with primary winding (2) on one side, another side is provided with secondary coil (3), it is characterized in that parallelly connected one or more magnet valve; Its magnet valve mainly is provided with iron core-closed frame of magnet valve (4) and coil; The iron core-closed frame of its magnet valve (4) both sides relatively is the magnetic post, is respectively equipped with one or more pairs of coils of the equal number of turn on the magnetic post of both sides, and every pair of coil branch is located on the magnetic post of both sides; Directly tie mutually every pair of coil one termination, another termination serial connection DC power supply; Be provided with between the iron core-closed frame of main flux (1) and the iron core-closed frame of magnet valve (4) and be connected iron core (5), the iron core-closed frame of main flux (1), connect iron core (5) and the iron core-closed frame of magnet valve (4) is an overall structure.

2. transformer according to claim 1 is characterized in that magnet valve becomes the parallel connection relation at the iron core-closed frame of main flux (1) centre, both sides or solid space.

3. transformer according to claim 1, magnet valve iron core frame (4) is rectangle, circle, ellipse, polygon.

4. transformer according to claim 1 is characterized in that DC power supply is rectified into DC power supply by this transformer secondary coil (3) out-put supply.

5. method that transformer divides the magnetic regulation voltage, the iron core-closed frame of its main flux (1) is divided into magnetic circuit and secondary magnetic circuit according to primary winding (2), secondary coil (3) with whole magnetic circuit, and parallelly connected more one or more magnet valves form one or more fen magnetic magnetic circuit; Divide the degree of saturation of magnetic magnetic circuit, change and pass through secondary winding loop magnetic flux, regulate the size of secondary output voltage, require the output constant voltage according to setting through the control magnet valve; Be the real-time voltage that magnet valve is gathered electrical network automatically, compare,, realize that the secondary output voltage values equates with set point according to the size that both differences are regulated magnet valve DC excitation electric current automatically with voltage setting value.

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