CN106981940A - Magnetic suspension switched reluctance motor biases the number of turn design method of winding and armature winding - Google Patents

Abstract

The invention discloses the number of turn design method of magnetic suspension switched reluctance motor biasing winding and armature winding, belong to magnetic suspension motor field.The magnetic suspension switched reluctance motor is formed by magnetic bearing and switched reluctance machines set, and three of magnetic bearing bias windings with the threephase armature winding of switched reluctance machines by the way of common excitation of connecting, while providing torque and biasing magnetic flux；Power voltage-drop coefficient is introduced, the series connection partial pressure of armature winding is acted on quantifying to bias winding, and give the method that power voltage-drop coefficient is calculated using parameters such as structure and electromagnetism；The actual pulse current waveform of armature winding is equivalent to a ladder square wave, and power voltage-drop coefficient is incorporated into the calculating of each winding current design load；Finally, based on magnetic equivalent circuit method, the computational methods of biasing and armature winding are obtained.The inventive method considers the partial pressure effects of biasing and armature winding, and Current calculation is simple, accurate, and umber of turn design accuracy is high, practical.

Description

Magnetic suspension switched reluctance motor biases the number of turn design method of winding and armature winding

Technical field

The present invention relates to the number of turn design method of magnetic suspension switched reluctance motor biasing winding and armature winding, belong to magnetcisuspension Floation switch reluctance motor and its design field.

Background technology

Magnetic suspension switched reluctance motor effectively solves axle during high-speed cruising because integrating rotation and two functions that suspend, not only The problems such as holding the loss and heating that friction belt is come, moreover it is possible to the high-speed adaptability of switched reluctance machines is further played, so as to strengthen Its application foundation in High Speed Fields such as Aero-Space, flywheel energy storage, naval vessels.

Magnetic suspension switched reluctance motor is formed by a magnetic bearing and a switched reluctance machines set, m of magnetic bearing Winding is biased with the m phases armature winding of switched reluctance machines by the way of common excitation of connecting, while providing torque and biasing Magnetic flux.Due to the double-salient-pole structure of switched reluctance machines, nonlinearity is presented in magnetic field when it runs so that its armature winding circle Several accurately calculating is increasingly difficult.In addition, displacement rigidity and current stiffness to improve magnetic bearing, to lift the dynamic of the control that suspends State property energy, magnetic bearing often works in the range of linearity.However, the biasing winding and the armature winding string of switched reluctance machines of magnetic bearing It is linked togather, using identical excitation mode, the difficulty for causing the two number of turn to design is higher.

Therefore, invention introduces a power voltage-drop coefficient, to quantify to bias series connection partial pressure of the winding to armature winding Effect, and give the method that power voltage-drop coefficient is calculated using parameters such as structure and electromagnetism；By the actual pulse of armature winding Current waveform is equivalent to a ladder square wave, and power voltage-drop coefficient is incorporated into the calculating of each winding current design load；Most Afterwards, based on magnetic equivalent circuit method, the computational methods of biasing and armature winding are obtained.Consider the partial pressure effects of biasing and armature winding, Current calculation is simple, accurate, and umber of turn design accuracy is high, practical.

The content of the invention

The present invention seeks in view of the shortcomings of the prior art, propose magnetic suspension switched reluctance motor biasing winding and armature around The number of turn design method of group, methods described considers the partial pressure effects of biasing winding and armature winding, and each winding current calculates accurate Really, and turns calculations precision is high.

In order to solve the above-mentioned technical problem, the present invention is adopted the following technical scheme that：

The biasing winding and the design method of armature winding of magnetic suspension switched reluctance motor, the magnetic levitation switch magnetic resistance electricity Machine includes motor stator, rotor and machine winding；The motor stator is made up of reluctance motor stator and magnetic bearing stator； The rotor is made up of field spider and cylindrical rotor；The machine winding is made up of torque winding and suspending windings；Institute State cylindrical rotor to be arranged in magnetic bearing stator, field spider is arranged in reluctance motor stator；The magnetic bearing stator and magnetic Motor stator axial series arrangement is hindered, the cylindrical rotor and field spider are enclosed in rotating shaft；The reluctance motor stator and convex Pole rotor is salient-pole structure, and the cylindrical rotor is cylindrical structure；

The magnetic bearing stator is made up of 4 E type structures, and 4 E type structures are circumferentially uniformly distributed, and are spatially differed 90°；The number of teeth of each E type structures is 3, and the center tooth of the E types structure is wide tooth, and two heel teeths are narrow tooth；In each E type structures Two narrow teeth on have the 1 narrow tooth winding of windings in series formation on 1 winding, each two narrow teeth of E types structure, 4 E types The 4 narrow tooth winding of structure formation；It is separated by 180 ° of two winding differential concatenations in the 4 narrow tooth winding, forms a suspension Winding；Two other is separated by 180 ° of narrow tooth winding differential concatenation, forms another suspending windings；Described two suspending windings Spatially it is separated by 90 °；

The torque winding number is identical with the number of phases m of reluctance motor, and each torque winding is by an armature winding and one Individual biasing windings in series is constituted；

The reluctance motor stator salient-pole structure, which includes, is wound with 1 winding on n stator tooth, each stator tooth, own Winding on reluctance motor stator tooth, point m groups, is respectively connected together, and constitutes m armature winding；Wherein, n is m multiple；

The biasing winding common m, m coil is wound with each wide tooth of E types structure；In 4 E type structures, each 1 coil is chosen on wide tooth, 1 biasing winding is connected into, so as to form m biasing winding；

The number of turn design method of the magnetic suspension switched reluctance motor biasing winding and armature winding, comprises the following steps：

Step A, is calculated per mutually biasing winding terminal voltage U_biasWith armature winding end electric current U_a；Comprise the following steps that：

Step A-1, is calculated per mutually biasing winding self-induction L_biasWith the maximum self-induction L of every phase armature winding_max；Its expression formula point It is not：

Wherein, μ₀For space permeability, δ is gas length, and l is the effective axial length of magnetic bearing, l_SRMHave for reluctance motor Imitate axial length, α_sFor reluctance motor stator polar arc angle, α_s1For the polar arc angle of the wide tooth of magnetic bearing stator, r is rotor radius, and N is The armature winding number of turn, N_bFor biasing umber of turn, k_FeFor iron core laminating coefficient, k_αFor the ratio between E type structure width stator polar arcs, Its expression formula isα_s2For the polar arc angle of the narrow tooth of magnetic bearing stator；

Step A-2, is obtained per mutually biasing winding terminal voltage U_biasWith armature winding end electric current U_a；

According to the L_biasAnd L_max, and calculation formula：

Obtain：

Wherein, L_biasWinding self-induction, L are biased for every phase_maxFor the maximum self-induction of every phase armature winding, i be per phase torque around Group electric current, t is time, k_LFor the ratio between the maximum self-induction of armature winding and minimum self-induction, k_LInterval is [5,8]；

Step B, calculates N²α_sl_SRMWithIts expression formula is respectively：

Wherein, P_NFor the rated power of reluctance motor, n is rated speed, F_loadFor the radial load of magnetic bearing, I_PTo be every The peak value of equivalent electric current, η is reluctance motor efficiency, Z_rFor the rotor number of poles of reluctance motor, γ is the wide tooth of magnetic bearing stator With narrow between cog angle, k is the magnetic pressure-drop coefficient of reluctance motor, k=1.1~1.2；

Step C, calculates power voltage-drop coefficient k_U, according to the expression formula：

Obtain：

Wherein, k_tfFor moment coefficient,T_NFor nominal torque,U is every The supply voltage of phase torque winding, U=U_a+U_bias；

Step D, calculates the current value of biasing winding and the design of the armature winding number of turn, comprises the following steps that：

Step D-1, according to the P_N, U and k_U, and calculation formulaCalculate every equivalent electric current Peak I_P；

Step D-2, according to the I_P, and calculation formulaCalculate the current value of armature winding number of turn design I_m；

Step D-3, according to the I_P, and calculation formulaCalculate the current value of biasing umber of turn design I_av；

Step E, calculates the number of turn of armature winding and biasing winding, comprises the following steps that：

Step E-1, calculates armature winding number of turn N；

According to the I_m, and calculation formulaThe number of turn N of armature winding is calculated, wherein, B_δFor magnetic resistance The air gap flux density that armature winding is produced, B_δ=1.0~1.5T；

Step E-2, calculates biasing umber of turn N_b；

According to the I_m, and calculation formulaCalculate the number of turn N of biasing winding_b, wherein, B_b The air gap flux density that winding is produced, B are biased for magnetic bearing_b=0.3~0.5T；

The reluctance motor stator number of teeth n is that 12, the field spider number of teeth is that 8, number of motor phases m is 3, and every 4 are separated by 90 ° Reluctance motor stator tooth on winding, using series connection or side by side or connected mode go here and there and combine, link together, composition 1 armature winding, forms 3 armature winding altogether；3 armature winding is connected with described 3 biasing windings respectively again, And then constitute 3 torque windings, as three-phase torque winding.

Beneficial effects of the present invention：The present invention propose the biasing winding and armature of a kind of magnetic suspension switched reluctance motor around The design method of the group number of turn, using technical scheme, can reach following technique effect：

(1) consider the partial pressure effects of biasing winding and armature winding, introduce a power voltage-drop coefficient；

(2) based on stepped equivalent current waveform, meter and influence of the freewheeling period to electromagnetic power, each winding current meter Calculate accurately really；

(3) turns calculations precision height, versatility are good.

Brief description of the drawings

Fig. 1 is a kind of three dimensional structure diagram of magnetic suspension switched reluctance motor of the invention.

Fig. 2 is a kind of equivalent waveform of magnetic suspension switched reluctance motor A phases torque winding of the invention.

Fig. 3 is the design flow diagram of present invention biasing winding and armature winding.

Description of reference numerals：Fig. 1 is into Fig. 3, and 1 is reluctance motor stator, and 2 be field spider, and 3 be armature winding, and 4 be magnetic Bearing stator, 5 be cylindrical rotor, and 6 be biasing winding, and 7 be narrow tooth winding, and 8 be rotating shaft, and 9 be the self-induction curve of armature winding, 10 It is the equivalent grading current waveform of torque winding for the actual current waveform of torque winding, 11,12 be that excitation is interval, and 13 be afterflow Interval, 14 be rotor angle constant interval, and 15 be the current value for biasing umber of turn design, and 16 be the design of the armature winding number of turn Current value.

Embodiment

Below in conjunction with the accompanying drawings, to the biasing winding and the armature winding number of turn of a kind of magnetic suspension switched reluctance motor of the invention The technical scheme of design method is described in detail：

As shown in figure 1, be the three dimensional structure diagram of magnetic suspension switched reluctance motor embodiment 1 of the present invention, wherein, 1 is Reluctance motor stator, 2 be field spider, and 3 be armature winding, and 4 be magnetic bearing stator, and 5 be cylindrical rotor, and 6 be biasing winding, 7 It is narrow tooth winding, 8 be rotating shaft.

The magnetic suspension switched reluctance motor, including motor stator, rotor and machine winding；The motor stator by Reluctance motor stator and magnetic bearing stator are constituted；The rotor is made up of field spider and cylindrical rotor；The motor around Group is made up of torque winding and suspending windings；The cylindrical rotor is arranged in magnetic bearing stator, and field spider is arranged in magnetic resistance In motor stator；The magnetic bearing stator and reluctance motor stator axial series arrangement, cylindrical rotor and the field spider set In rotating shaft；The reluctance motor stator and field spider are salient-pole structure, and the cylindrical rotor is cylindrical structure；

The magnetic bearing stator is made up of 4 E type structures, and 4 E type structures are circumferentially uniformly distributed, and are spatially differed 90°；The number of teeth of each E type structures is 3, and the center tooth of the E types structure is wide tooth, and two heel teeths are narrow tooth；In each E type structures Two narrow teeth on have the 1 narrow tooth winding of windings in series formation on 1 winding, each two narrow teeth of E types structure, 4 E types The 4 narrow tooth winding of structure formation；It is separated by 180 ° of two winding differential concatenations in the 4 narrow tooth winding, forms a suspension Winding；Two other is separated by 180 ° of narrow tooth winding differential concatenation, forms another suspending windings；Described two suspending windings Spatially it is separated by 90 °；

The torque winding number is identical with the number of phases m of reluctance motor, and each torque winding is by an armature winding and one Individual biasing windings in series is constituted；

The reluctance motor stator salient-pole structure, which includes, is wound with 1 winding on n stator tooth, each stator tooth, own Winding on reluctance motor stator tooth, point m groups, is respectively connected together, and constitutes m armature winding；Wherein, n is m multiple；

The biasing winding common m, m coil is wound with each wide tooth of E types structure；In 4 E type structures, each 1 coil is chosen on wide tooth, 1 biasing winding is connected into, so as to form m biasing winding；

The reluctance motor stator number of teeth n is that 12, the field spider number of teeth is that 8, number of motor phases m is 3, and every 4 are separated by 90 ° Reluctance motor stator tooth on winding, using series connection or side by side or connected mode go here and there and combine, link together, composition 1 armature winding, forms 3 armature winding altogether；3 armature winding is connected with described 3 biasing windings respectively again, And then constitute 3 torque windings, as three-phase torque winding.

The resultant flux that the three-phase torque winding current sum is produced, is used as the biasing magnetic flux of rotor suspension；3 phases turn The control method of square winding current is identical with Conventional switched reluctance motor；The magnetic flux that x-axis direction suspending windings are produced, in the direction It is identical with the flow direction that torque winding is produced in this place at an air gap in magnetic bearing stator, and the direction another Then on the contrary, size and Orientation by controlling electric current in the suspending windings of x-axis direction, i.e., produce one in the positive and negative direction of x-axis at air gap Individual controllable radial magnetic force；Similarly, a controllable radial magnetic force is also produced in the positive and negative direction of y-axis；And then obtain a size With the synthesis magnetic pull of direction controlling so that meet suspension needed for.

Fig. 2 is a kind of equivalent waveform of magnetic suspension switched reluctance motor A phases torque winding of the invention.The magnetic levitation switch The direct torque of reluctance motor is identical with traditional 12/8 pole switching reluctance motor, in the high speed operation phase generally using angle position Control mode is put, for ease of armature winding and biasing Winding Design, actual pulsion phase current segmenting equivalent amplitude value is not waited Constant current, as shown in Figure 2.Interval is turned in every phase excitation, i.e., [0,15 °], current amplitude is I_p；Interval is turned in afterflow, That is [15 °, 22.5 °], current amplitude is I_p/2；Thus the electromagnetic power for facilitating calculating motor is the input power in excitation stage And the difference of the feedback power of freewheeling period.

If electromagnetic power is P_em, DC bus current is I_dc, then electromagnetic power P is obtained_emWith electric current I_pRelation：

Electromagnetic power P_emWith rated power P_NRelation be：

In formula, U is the supply voltage per phase torque winding, and η is efficiency.

Fig. 3 is the design flow diagram of present invention biasing winding and armature winding.The maximum self-induction of armature winding is calculated first With the self-induction of biasing winding, the product of the number of turn square, polar arc angle and the axial length of two windings is then calculated, power supply is calculated afterwards Pressure-drop coefficient, then solves the current value of each equivalent current and the design of two umber of turns, is finally based on magnetic equivalent circuit method, calculate two The number of turn of winding, it is concretely comprised the following steps：

Step A, is calculated per mutually biasing winding terminal voltage U_biasWith armature winding end electric current U_a；Comprise the following steps that：

Step A-1, is calculated per mutually biasing winding self-induction L_biasWith the maximum self-induction L of every phase armature winding_max；Its expression formula point It is not：

Wherein, μ₀For space permeability, δ is gas length, and l is the effective axial length of magnetic bearing, l_SRMHave for reluctance motor Imitate axial length, α_sFor reluctance motor stator polar arc angle, α_s1For the polar arc angle of the wide tooth of magnetic bearing stator, r is rotor radius, and N is The armature winding number of turn, N_bFor biasing umber of turn, k_FeFor iron core laminating coefficient, k_αFor the ratio between E type structure width stator polar arcs, Its expression formula isα_s2For the polar arc angle of the narrow tooth of magnetic bearing stator；

Step A-2, is obtained per mutually biasing winding terminal voltage U_biasWith armature winding end electric current U_a；

According to the L_biasAnd L_max, and calculation formula：

Obtain：

Wherein, L_biasWinding self-induction, L are biased for every phase_maxFor the maximum self-induction of every phase armature winding, i be per phase torque around Group electric current, t is time, k_LFor the ratio between the maximum self-induction of armature winding and minimum self-induction, k_LInterval is [5,8]；

Step B, calculates N²α_sl_SRMWithIts expression formula is respectively：

Wherein, P_NFor the rated power of reluctance motor, n is rated speed, F_loadFor the radial load of magnetic bearing, I_PTo be every The peak value of equivalent electric current, η is reluctance motor efficiency, Z_rFor the rotor number of poles of reluctance motor, γ is the wide tooth of magnetic bearing stator With narrow between cog angle, k is the magnetic pressure-drop coefficient of reluctance motor, k=1.1~1.2；

Step C, calculates power voltage-drop coefficient k_U, according to the expression formula：

Obtain：

Wherein, k_tfFor moment coefficient,T_NFor nominal torque,U is every The supply voltage of phase torque winding, U=U_a+U_bias；

Step D, calculates the current value of biasing winding and the design of the armature winding number of turn, comprises the following steps that：

Step D-1, according to the P_N, U and k_U, and calculation formulaCalculate every equivalent electric current Peak I_P；

Step D-2, according to the I_P, and calculation formulaCalculate the current value of armature winding number of turn design I_m；

Step D-3, according to the I_P, and calculation formulaCalculate the current value of biasing umber of turn design I_av；

Step E, calculates the number of turn of armature winding and biasing winding, comprises the following steps that：

Step E-1, calculates armature winding number of turn N；

According to the I_m, and calculation formulaThe number of turn N of armature winding is calculated, wherein, B_δFor magnetic resistance The air gap flux density that armature winding is produced, B_δ=1.0~1.5T；

Step E-2, calculates biasing umber of turn N_b；

According to the I_m, and calculation formulaCalculate the number of turn N of biasing winding_b, wherein, B_b The air gap flux density that winding is produced, B are biased for magnetic bearing_b=0.3~0.5T.

Its detailed calculating process is as follows：

The pressure drop for making armature winding is U_a, the pressure drop of biasing winding is U_bias, power voltage-drop coefficient is k_U, then have

In formula, L_aFor armature winding self-induction, L_biasTo bias around self-induction, i is torque winding current, and t is the time, and θ is rotor Position angle, ω is angular speed.

For 12/8 pole SRM, phase inductance L_aConstant is essentially in interval [0,7.5 °], Based Motional Electromotive Force is zero, phase Electric current reaches maximum in the interval monotonic increase, and near θ=7.5 °, as shown in Figure 2.To simplify meter during Winding Design Difficulty is calculated, the partial pressure effect of [0,7.5 °] interval interior biasing winding is only considered, power voltage-drop coefficient is obtained for k according to formula (3)_UTable It is up to formula：

Wherein, L_minNot line up per phase armature winding self-induction at position, i.e., minimum self-induction.

Because the phase inductance Analytical Solution for not lining up SRM at position is complex, using calculating relatively simple alignment bit Put place (i.e. θ_a=22.5 °) inductance L_max, the L in substituted (4)_min, then pressure-drop coefficient k_UCalculation formula be changed into：

In formula, k_LFor the ratio between the maximum self-induction of A phases armature winding and minimum inductance, for 12/8 pole SRM, k_L=5~8.

Using magnetic equivalent circuit method, L is obtained_maxAnd L_biasCalculation formula be：

In formula, μ₀For space permeability, δ is gas length, and l is the effective axial length of magnetic bearing, l_SRMHave for reluctance motor Imitate axial length, α_sFor reluctance motor stator polar arc angle, α_s2For the wide stator poles arc angle of magnetic bearing, r is rotor radius, and N is armature Umber of turn, N_bFor the armature winding number of turn, k_FeFor iron core laminating coefficient, k_αFor the ratio between E type structure width stator polar arcs, its table It is up to formulaα_s1For the narrow stator poles arc angle of magnetic bearing.

Formula (6), (7) are brought into formula (5), obtained

If the rated current for biasing winding is I_av, the rated current of suspending windings is I_s, according to Calculation of the levitation force formula, then RMB radial load F_loadIt is defined as：

In formula, γ is the angle of magnetic bearing stator width stator between cog.

Due to N_bI_av=N_sI_sWhen, magnetic utilization rate highest, then formula (9) be changed into：

According to average current I_avDefinition, obtain itself and electric current I_PRelation be：

Bring formula (11) into (10), obtain

For SRM, ignore the influence of magnetic field saturation and alternate mutual inductance, then per the T of phase electromagnetic torque_avRepresented with following formula：

In formula, Z_rFor SRM rotor numbers of poles, I_mThe half-period average value of equivalent electric current is represented, wherein

In formula：C is winding connection in series-parallel circuitry number, Z_sFor stator tooth number of poles, β_sFor SRM stator pole embraces, δ is SRM gas Gap length, l_SRMFor SRM axial lengths, D is SRM diameter of stator bores, and k is the coefficient of magnetic circuit meter and magnetic pressure drop unshakable in one's determination, k=1.1~ 1.2, N be the armature winding number of turn of a stator tooth, and its expression formula is：

In formula, B_δFor the air gap flux density of aligned position.

Phase average torque T_avWith electromagnetic power P_emRelation be：

In formula, n is rotating speed

Convolution (1)~(2) and (13)~(18), derive SRM basic size calculation formula：

Further formula (19) is rewritten as：

And because：

Formula (14), (17) and (21) is brought into formula (20), obtained

Bring formula (12) and (22) into (8), obtain

Wherein k_tfFor moment coefficient,T_NFor nominal torque,

When known to the structure and electromagnetic parameter of magnetic suspension switched reluctance motor, power voltage-drop system is calculated by formula (23) Number, further calculates each winding current values.

The peak I of armature winding equivalent current_PFor：

The current value I of armature winding number of turn design_mWith the current value I of biasing umber of turn design_avRespectively：

Then, armature winding and biasing are conveniently write according to switched reluctance machines and the equivalent magnetic circuit equation of magnetic bearing respectively The turns calculations formula of winding is respectively：

Wherein, B_δThe air gap flux density produced for reluctance motor armature winding, B_δ=1.0~1.5T, B_bFor magnetic bearing biasing around The air gap flux density that group is produced, B_b=0.3~0.5T.

The inventive method, introduces a power voltage-drop coefficient, to quantify to bias series connection partial pressure of the winding to armature winding Effect, and give the method that power voltage-drop coefficient is calculated using parameters such as structure and electromagnetism；By the actual pulse of armature winding Current waveform is equivalent to a ladder square wave, and power voltage-drop coefficient is incorporated into the calculating of each winding current design load；Most Afterwards, based on magnetic equivalent circuit method, the computational methods of biasing and armature winding are obtained.Consider the partial pressure effects of biasing and armature winding, Current calculation is simple, accurate, and umber of turn design accuracy is high, practical.

For those skilled in the art, according to above implementation type be easy to the other advantages of association and Deformation.Therefore, the invention is not limited in above-mentioned instantiation, it carries out detailed as just example to a kind of form of the present invention Carefully, exemplary explanation.In the range of without departing substantially from present inventive concept, those of ordinary skill in the art are according to above-mentioned instantiation By the technical scheme obtained by various equivalent substitutions, should be included in scope of the presently claimed invention and its equivalency range it It is interior.

Claims (2)

1. magnetic suspension switched reluctance motor biases the number of turn design method of winding and armature winding, the magnetic levitation switch magnetic resistance electricity Machine includes motor stator, rotor and machine winding；The motor stator is made up of reluctance motor stator and magnetic bearing stator； The rotor is made up of field spider and cylindrical rotor；The machine winding is made up of torque winding and suspending windings；Institute State cylindrical rotor to be arranged in magnetic bearing stator, field spider is arranged in reluctance motor stator；The magnetic bearing stator and magnetic Motor stator axial series arrangement is hindered, the cylindrical rotor and field spider are enclosed in rotating shaft；The reluctance motor stator and convex Pole rotor is salient-pole structure, and the cylindrical rotor is cylindrical structure；

The magnetic bearing stator is made up of 4 E type structures, and 4 E type structures are circumferentially uniformly distributed, and spatially differs 90 °； The number of teeth of each E type structures is 3, and the center tooth of the E types structure is wide tooth, and two heel teeths are narrow tooth；Two in each E type structures There are the 1 narrow tooth winding of windings in series formation on 1 winding, each two narrow teeth of E types structure, 4 E type structures on individual narrow tooth Form 4 narrow tooth winding；It is separated by 180 ° of two winding differential concatenations in the 4 narrow tooth winding, forms a suspending windings； Two other is separated by 180 ° of narrow tooth winding differential concatenation, forms another suspending windings；Described two suspending windings are spatially It is separated by 90 °；

The torque winding number is identical with the number of phases m of reluctance motor, and each torque winding is inclined by an armature winding and one Put windings in series composition；

The reluctance motor stator salient-pole structure, which includes, is wound with 1 winding, all magnetic resistance on n stator tooth, each stator tooth Winding on motor stator tooth, point m groups, is respectively connected together, and constitutes m armature winding；Wherein, n is m multiple；

The biasing winding common m, m coil is wound with each wide tooth of E types structure；In 4 E type structures, in each wide tooth 1 coil of upper selection, is connected into 1 biasing winding, so as to form m biasing winding；

Characterized in that, the number of turn design method of the magnetic suspension switched reluctance motor biasing winding and armature winding, including such as Lower step：

Step A, is calculated per mutually biasing winding terminal voltage U_biasWith armature winding end electric current U_a；Comprise the following steps that：

Step A-1, is calculated per mutually biasing winding self-induction L_biasWith the maximum self-induction L of every phase armature winding_max；Its expression formula is respectively：

$L_{bias}=\left(\frac{2k_{\mathrm{\α}}}{k_{\mathrm{\α}}+2}\right)4N_b^2\left(\frac{{\mathrm{\α}}_{s2}\mathrm{\π}}{180}\right)\frac{{\mathrm{\μ}}_0{\mathrm{rlk}}_{Fe}}{\mathrm{\δ}},$

$L_{max}=4N^2\left(\frac{{\mathrm{\α}}_s\mathrm{\π}}{180}\right)\frac{{\mathrm{\μ}}_0{\mathrm{rl}}_{SRM}{k}_{Fe}}{\mathrm{\δ}},$

Wherein, μ₀For space permeability, δ is gas length, and l is the effective axial length of magnetic bearing, l_SRMFor the effective axle of reluctance motor To length, α_sFor reluctance motor stator polar arc angle, α_s1For the polar arc angle of the wide tooth of magnetic bearing stator, r is rotor radius, and N is armature Umber of turn, N_bFor biasing umber of turn, k_FeFor iron core laminating coefficient, k_αFor the ratio between E type structure width stator polar arcs, it is expressed Formula isα_s2For the polar arc angle of the narrow tooth of magnetic bearing stator；

Step A-2, is obtained per mutually biasing winding terminal voltage U_biasWith armature winding end electric current U_a；

According to the L_biasAnd L_max, and calculation formula：

$U_{bias}=L_{bias}\frac{\∂i}{\∂t},$

$U_a=\frac{L_{max}}{k_L}\frac{\∂i_a}{\∂t},$

Obtain：

$U_{bias}=\left(\frac{2k_{\mathrm{\α}}}{k_{\mathrm{\α}}+2}\right)4N_b^2\left(\frac{{\mathrm{\α}}_{s2}\mathrm{\π}}{180}\right)\frac{{\mathrm{\μ}}_0{\mathrm{rlk}}_{Fe}}{\mathrm{\δ}}\frac{\∂i}{\∂t},$

$U_a=\frac{1}{k_L}4N^2\left(\frac{{\mathrm{\α}}_s\mathrm{\π}}{180}\right)\frac{{\mathrm{\μ}}_0{\mathrm{rl}}_{SRM}{k}_{Fe}}{\mathrm{\δ}}\frac{\∂i_a}{\∂t},$

Wherein, L_biasWinding self-induction, L are biased for every phase_maxFor the maximum self-induction of every phase armature winding, i is per phase torque winding electricity Stream, t is time, k_LFor the ratio between the maximum self-induction of armature winding and minimum self-induction, k_LInterval is [5,8]；

Step B, is calculatedWithIts expression formula is respectively：

$N^2{\mathrm{\α}}_s{l}_{SRM}=\frac{2592k_L{P}_{N}k\mathrm{\δ}}{\mathrm{\π}(k_L-1)k_{Fe}{Z}_r{\mathrm{nr\μ}}_0{I}_p^2}\left(\frac{\mathrm{\η}+1}{2\mathrm{\η}}\right),$

$N_b^2{\mathrm{\α}}_{s2}l=\frac{144{(2+k_{\mathrm{\α}})}^2}{5k_{\mathrm{\α}}(2+k_{\mathrm{\α}}cos\mathrm{\γ})}\frac{{\mathrm{\δ}}^2}{{\mathrm{\μ}}_0{\mathrm{\πrk}}_{Fe}}\frac{F_{load}}{I_p^2},$

Wherein, P_NFor the rated power of reluctance motor, n is rated speed, F_loadFor the radial load of magnetic bearing, I_PFor per equal The peak value of electric current is imitated, η is reluctance motor efficiency, Z_rFor the rotor number of poles of reluctance motor, γ for magnetic bearing stator wide tooth with it is narrow Between cog angle, k is the magnetic pressure-drop coefficient of reluctance motor, k=1.1~1.2；

Step C, calculates power voltage-drop coefficient k_U, according to the expression formula：

$U_{bias}=\left(\frac{2k_{\mathrm{\α}}}{k_{\mathrm{\α}}+2}\right)4N_b^2\left(\frac{{\mathrm{\α}}_{s2}\mathrm{\π}}{180}\right)\frac{{\mathrm{\μ}}_0{\mathrm{rlk}}_{Fe}}{\mathrm{\δ}}\frac{\∂i}{\∂t},$

$U_a=\frac{1}{k_L}4N^2\left(\frac{{\mathrm{\α}}_s\mathrm{\π}}{180}\right)\frac{{\mathrm{\μ}}_0{\mathrm{rl}}_{SRM}{k}_{Fe}}{\mathrm{\δ}}\frac{\∂i_a}{\∂t},$

$N^2{\mathrm{\α}}_s{l}_{SRM}=\frac{2592k_L{P}_{N}k\mathrm{\δ}}{\mathrm{\π}(k_L-1)k_{Fe}{Z}_r{\mathrm{nr\μ}}_0{I}_p^2}\left(\frac{\mathrm{\η}+1}{2\mathrm{\η}}\right),$

$N_b^2{\mathrm{\α}}_{s2}l=\frac{144{(2+k_{\mathrm{\α}})}^2}{5k_{\mathrm{\α}}(2+k_{\mathrm{\α}}cos\mathrm{\γ})}\frac{{\mathrm{\δ}}^2}{{\mathrm{\μ}}_0{\mathrm{\πrk}}_{Fe}}\frac{F_{load}}{I_p^2},$

$k_U=\frac{U_a}{U},$

Obtain：

Wherein, k_tfFor moment coefficient,T_NFor nominal torque,U is per phase torque The supply voltage of winding, U=U_a+U_bias；

Step D, calculates the current value of biasing winding and the design of the armature winding number of turn, comprises the following steps that：

Step D-1, according to the P_N, U and k_U, and calculation formulaCalculate the peak value of every equivalent electric current I_P；

Step D-2, according to the I_P, and calculation formulaCalculate the current value I of armature winding number of turn design_m；

Step D-3, according to the I_P, and calculation formulaCalculate the current value I of biasing umber of turn design_av；

Step E, calculates the number of turn of armature winding and biasing winding, comprises the following steps that：

Step E-1, calculates armature winding number of turn N；

According to the I_m, and calculation formulaThe number of turn N of armature winding is calculated, wherein, B_δFor reluctance motor electricity The air gap flux density that pivot winding is produced, B_δ=1.0~1.5T；

Step E-2, calculates biasing umber of turn N_b；

According to the I_m, and calculation formulaCalculate the number of turn N of biasing winding_b, wherein, B_bFor magnetic The air gap flux density that bearing offset winding is produced, B_b=0.3~0.5T.

2. the number of turn design method of magnetic suspension switched reluctance motor biasing winding according to claim 1 and armature winding, When characterized in that, the reluctance motor stator number of teeth n is 12, the field spider number of teeth, to be 8, number of motor phases m be 3, every 4 are separated by Winding on 90 ° of reluctance motor stator tooth, using series connection or connected mode that is arranged side by side or going here and there and combine, links together, 1 armature winding is constituted, 3 armature winding are formed altogether；3 armature winding is carried out with described 3 biasing windings respectively again Series connection, and then constitute 3 torque windings, as three-phase torque winding.