CN105897092A - Design method for achieving single-phase operation of star-connection three-phase asynchronous generator - Google Patents
Design method for achieving single-phase operation of star-connection three-phase asynchronous generator Download PDFInfo
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- CN105897092A CN105897092A CN201610273297.8A CN201610273297A CN105897092A CN 105897092 A CN105897092 A CN 105897092A CN 201610273297 A CN201610273297 A CN 201610273297A CN 105897092 A CN105897092 A CN 105897092A
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- sequence
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P9/00—Arrangements for controlling electric generators for the purpose of obtaining a desired output
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P2103/00—Controlling arrangements characterised by the type of generator
- H02P2103/10—Controlling arrangements characterised by the type of generator of the asynchronous type
Abstract
The invention belongs to the technical field of analysis and design of asynchronous generators, and relates to a design method for achieving the single-phase operation of a star-connection three-phase asynchronous generator. The method carries out the modeling design of an asynchronous generator system based on a symmetric component method for a single-phase operation mode of the star-connection three-phase asynchronous generator, and designs the coupling relation between a positive sequence electric quantity and a negative sequence electric quantity according to the circuit structure of the asynchronous generator system when the generator is in stable operation. A flow-control voltage source is used for presenting the coupling relation in a composite sequence network, thereby simplifying the constraint condition of the operation of the generator. The method is scientific and reliable in design principle, is simple in modeling and design techniques, is flexible and convenient in operation, is good in application effect, and is high in energy saving and electricity saving performances.
Description
Technical field:
The invention belongs to the analytical design technique field of asynchronous generator, relate to a kind of star and connect three phase induction generator and realize single-phase fortune
The method for designing of row.
Background technology:
At present, the three phase induction generator used in industry is than the simple in construction of three-phase synchronous generator, reliable, maintenance side
Just, it is not necessary to DC excitation, can not only be used for TRT to be applied in isolated power system, it is possible to be incorporated into the power networks, become
The study hotspot of field of new energy generation both at home and abroad.Star connect three phase induction generator on naval vessel, aircraft, communication platform, drilling well put down
The isolated power systems such as platform are widely applied, but conventional single-phase load in these systems such as illumination, air-conditioning, although single
Phase asynchronous generator can directly send single-phase electricity, but single-phase asynchronous generator capacity is little, loss big, efficiency is low, it is difficult to full
Full border operation demand.And three phase induction generator technology maturation, can be selected for that specification is many and efficiency is higher, therefore, go out and star is connect
Three phase induction generator connected mode improves so that it is outwards directly output single-phase electric energy has important practical significance and extensively
Application prospect.
In the prior art, for judging the feasibility that electromotor bringing onto load runs, need to analyze the steady-state operation shape of asynchronous generator
State, thus, according to asynchronous generator steady operational status, seek a kind of star and connect three phase induction generator and realize setting of single-phase operation
Meter method is most important.
Summary of the invention:
It is contemplated that the shortcoming overcoming prior art to exist, propose a kind of star and connect three phase induction generator and realize setting of single-phase operation
Meter method, simplifies the analysis process of System with Induction Generator, and designing for asynchronous generator steady-state operation and electric system provides quickly
Effective technical support, the method connects three phase induction generator single-phase operation pattern for star, based on symmetrical component method to asynchronous
Electric system is modeled design, according to the circuit structure of System with Induction Generator, designs positive sequence during generator stable operation
Electricity, the coupled relation of negative phase-sequence electricity, and by stream control voltage source, coupled relation is embodied in compound sequence network, simplify and generated electricity
The constraints that machine runs.
For achieving the above object, method for designing of the present invention comprises the following steps that:
(1) first star is connect three phase induction generator rotor-side parameter to convert to stator side, then by stator side parameter and rotor-side parameter
Conversion is arrived under base value frequency, and derivation three phase induction generator positive sequence equivalent circuit and negative phase-sequence equivalent circuit respectively, generator windings is
Wye connection and non-zero-sequence current path, making zero-sequence current and residual voltage is zero;
(2) positive sequence impedance and negative sequence impedance, wherein, positive sequence voltage are respectively obtained according to positive sequence equivalent circuit and negative phase-sequence equivalent circuit
Equal to forward-order current and positive sequence impedance long-pending, negative sequence voltage is equal to negative-sequence current and negative sequence impedance long-pending;
(3) three phase voltages are represented with positive sequence voltage, negative sequence voltage respectively by symmetrical component method, with forward-order current, negative phase-sequence electricity
Stream represents three phase currents;
(4) relation between three phase voltages and positive sequence voltage, negative sequence voltage is substituted into the table between three line voltages and three phase voltages
Reach in formula, it is achieved represent three line voltages with positive sequence voltage, negative sequence voltage;
(5) connecing three formed loop voltages of line voltage of threephase generator according to star is the constraints of zero, the 3rd line voltage
Representing with other two line voltage, relational expression between two the line voltages and positive sequence voltage, the negative sequence voltage that obtain also is write as matrix
Form, then matrix is done inverse transformation, it is achieved represent two line voltages with positive sequence voltage, negative sequence voltage;
(6) connect three phase induction generator stator side from star and select to comprise two independent loops of above-mentioned line voltage, loop current respectively
For phase current, according to Kirchhoff's second law, write out the relation between the line voltage and phase current represented with matrix, according to
Two the line voltages obtained and positive sequence voltage, the relation of negative sequence voltage and two phase currents and forward-order current, the relation of negative-sequence current,
Obtain the coupled relation between positive sequence voltage, negative sequence voltage and forward-order current, negative-sequence current;
(7) use stream control voltage source to characterize coupling of positive sequence electricity quantity and negative phase-sequence electricity, set up star and connect that three phase induction generator is single-phase to be born
Carry the compound sequence network model of steady-state operation, by simple circuit transformations, carry out the change of negative phase-sequence circuit part in compound sequence network model
Letter and conversion, negative phase-sequence circuit and controlled source simplified partial are a simple impedance connected with positive sequence impedance the most at last, and then obtain
Simplify positive sequence equivalent circuit;
(8) using the impedance loop sum of simplification positive sequence equivalent circuit as object function, optimized variable stator electricity is obtained by optimization
Stream frequency perunit value and the excitatory reactance of positive sequence;
(9) search three phase induction generator magnetization curve further according to the excitatory reactance of positive sequence and obtain positive sequence induced potential, then by positive sequence etc.
Value circuit counting goes out forward-order current, relation between forward-order current and negative-sequence current obtain negative-sequence current, and then obtained by sequence electric current
Star connects the phase current of three phase induction generator, phase current and impedance obtain the load voltage under base value frequency, and anti-by frequency
Conversion is loaded virtual voltage accordingly,
(10) electricity such as electromotive force during three phase induction generator single-phase operation, electric current, voltage are obtained by above-mentioned analysis, it is achieved that
Star connects the design of three phase induction generator single-phase operation model.
Compared with prior art, its design principle science is reliable for the present invention, and Modeling and Design process is simple, runs nimble, should
With effective, energy-saving is the strongest.
Accompanying drawing illustrates:
Fig. 1 is the FB(flow block) that the star that the present invention relates to connects three phase induction generator single-phase operation design methods.
Fig. 2 is the star that the present invention relates to stator connection structure principle schematic when connecing three phase induction generator single-phase operation.
Fig. 3 is that the star that the present invention relates to connects positive sequence equivalent circuit structural principle schematic diagram under three phase induction generator base value frequency.
Fig. 4 is that the star that the present invention relates to connects negative phase-sequence equivalent circuit structural principle schematic diagram under three phase induction generator base value frequency.
Fig. 5 is that the star that the present invention relates to connects compound sequence network model schematic under three phase induction generator base value frequency.
Fig. 6 is that the star that the present invention relates to connects simplification positive sequence circuit structure principle schematic under three phase induction generator base value frequency.
Detailed description of the invention:
The present invention is described in further detail with embodiment below in conjunction with the accompanying drawings.
Embodiment: first select the star of routine to connect three phase induction generator, its rated power PNFor 2.2kW, rated voltage UNFor 380V,
Rated current INFor 5A, rated speed nNFor 1500r/min, rated frequency (base value frequency) fNFor 50Hz, stator resistance Rs
It is 2.80 Ω, rotor resistance (reduced value) RrIt is 3.20 Ω, stator reactance XsIt is 3.44 Ω, rotor reactance (reduced value) Xr' it is
3.44Ω;Induced potential E under base value frequency(1)Reactance X excitatory with positive sequencem(1)Relational representation be:
Balancing capacitance C as in figure 2 it is shown, motor stator b phase and c phase output terminal are respectively connectedbl, and together as node 2,
The outfan of a phase winding as node 1, connects three phase induction generator build press strip part, between node 1 and node 2 for meeting star
Connect and build voltage capacitance Cex, single-phase load is also connected between node 1 and node 2;
Star first connects three phase induction generator side be analyzed by symmetrical component method, do not contain owing to star connects in three phase induction generator
Zero-sequence current path, zero-sequence current and residual voltage are 0, if a=ej120°For complex operator, by asymmetric a, b, c tri-
Phase voltage Ua、Ub、UcUse positive sequence voltage U(1), negative sequence voltage U(2)It is expressed as:
Correspondingly, asymmetric a, b, c three-phase current Ia、Ib、IcUse forward-order current I(1), negative-sequence current I(2)It is expressed as:
Fig. 3 Yu Fig. 4 is respectively the star converted under base value frequency and connects positive sequence equivalent circuit and the negative phase-sequence equivalence of three phase induction generator
Circuit, the most each induction reactance value corresponds to base value frequency;
According to positive sequence impedance Z in positive sequence equivalent circuit Fig. 3, negative phase-sequence equivalent circuit Fig. 4Σ(1), negative sequence impedance ZΣ(2), negative phase-sequence excitatory
Reactance Xm(2), stator frequency perunit value bef, just simultaneously taking account of positive sequence, the positive direction of negative sequence voltage and positive sequence, negative-sequence current
Direction, following relationship is set up
Wherein,
Then load-side is analyzed modeling, meets three phase induction generator line voltage U according to starab、Ubc、UcaWith phase voltage Ua、
Ub、UcRelation obtain:
Simultaneous phase voltage and sequence voltage, the relational expression of line voltage and phase voltage obtain the relation of line voltage and sequence voltage:
Connecing three phase induction generator neutral voltage composition loop in view of star, three line voltage sums are 0, according to linear dependence
Eliminate the 3rd line voltage Uca, then have:
Above formula inverse transformation is obtained the sequence voltage represented by line voltage:
Connect two independent loops of three phase induction generator winding and load composition corresponding to star, and use XexWith XblRepresent base respectively
Build voltage capacitance capacitive reactance and balancing capacitance capacitive reactance under value frequency, then between line voltage and line current, relation meets:
The relational expression of joint line electric current and sequence electric current can obtain the relation between line voltage and sequence electric current:
Finally can derive relation between positive sequence voltage, negative sequence voltage and forward-order current, negative-sequence current:
Wherein,
Being obtained by above-mentioned derivation, positive sequence voltage is both relevant to forward-order current, also relevant to negative-sequence current, negative sequence voltage both with just
Sequence voltage is correlated with, also relevant to negative-sequence current, shows that positive sequence electricity quantity there occurs with negative phase-sequence electricity and couples;
The present embodiment uses stream control voltage source to process the coupled relation of positive sequence electricity quantity and negative phase-sequence electricity, sets up star and connects phase asynchronous generating
Compound sequence network model when machine realizes single-phase load steady-state operation is as it is shown in figure 5, at the positive sequence loop of compound sequence network model shown in Fig. 5
In, if with positive sequence impedance ZΣ(1)The impedance of series connection is Ze, then:
Negative phase-sequence loop in compound sequence network model is arranged and writes Kirchoff s voltage equation:
Z21I(1)+Z22I(2)+ZΣ(2)I(2)=0
And then obtain relation between positive sequence, negative-sequence current and be:
It is derived from impedance
It is the positive sequence circuit shown in Fig. 6 by compound sequence network model simplification again;In the positive sequence circuit diagram 6 simplified, according to Kiel suddenly
Husband's voltage law, loop pressure drop is 0, and forward-order current is not 0, then impedance loop Z must be 0, it may be assumed that
Z=Ze+ZΣ(1)=0
Above formula connects three phase induction generator by star and realizes the essential condition that single-phase operation is met;
The present embodiment uses optimization method to solve the nonlinear equation that impedance loop is 0, objective function:
f(f,Xm(1))=| Z |
The minima of this object function is 0, can be asked for by two dimension optimizingfWith Xm(1)The two variable, connects phase asynchronous at star
During motor single-phase zone carries the analysis of steady-state operation,fAnd Xm(1)For key variables, it is the premise calculating other each electricity;
By the asynchronous generator magnetization curve piecewise function given by the present embodiment, then by positive sequence excitatory reactance Xm(1)Just table look-up
Sequence induced potential E(1);
If the phase angle of positive sequence induced potential is 0, draw forward-order current according to electricity relation each in positive sequence equivalent circuit Fig. 3:
Negative-sequence current is obtained by relation between the forward-order current above derived and negative-sequence current:
In the case of known to forward-order current and negative-sequence current, relation between phase current and sequence electric current obtain each phase current:
Further according to Ohm's law, the product of each phase current Yu each phase load try to achieve star and connect under three phase induction generator base value frequency
Output voltage, for obtaining virtual voltage, need to be multiplied by frequency perunit value by the voltage under required base value frequencyf;
Finally provide star and connect the analysis design result of three phase induction generator single-phase operation, and value of calculation is compared with measured value,
Correctness and accuracy with checking design methods;
Star meets three phase induction generator institute band single-phase load resistance RL=100.0 Ω, fundamental reactance XL=125.7 Ω;When building voltage capacitance
Cex=35 μ F, balancing capacitance CblDuring=45 μ F, design methods calculating load voltage virtual value is 241.0V, actual measurement
Value is 242.4V;When building voltage capacitance Cex=50 μ F, balancing capacitance CblDuring=80 μ F, design methods calculate load electricity
Being pressed with valid value is 312.4V, and measured value is 315.7V;
Result shows that model is correct, method is effective, it is possible to realizes star and connects the single-phase operation of three phase induction generator.
Claims (1)
1. a star connects three phase induction generator and realizes the method for designing of single-phase operation, it is characterised in that: the method connects three for star
Phase asynchronous generator single-phase operation pattern, is modeled design based on symmetrical component method to System with Induction Generator, according to asynchronous
The circuit structure of electric system, positive sequence electricity quantity when designing generator stable operation, the coupled relation of negative phase-sequence electricity, and by flowing
Coupled relation is embodied in compound sequence network by control voltage source, simplifies the constraints obtaining generator operation, its specific embodiment
Comprise the following steps:
(1) first star is connect three phase induction generator rotor-side parameter to convert to stator side, then by stator side parameter and rotor-side parameter
Conversion is arrived under base value frequency, and derivation three phase induction generator positive sequence equivalent circuit and negative phase-sequence equivalent circuit respectively, generator windings is
Wye connection and non-zero-sequence current path, making zero-sequence current and residual voltage is zero;
(2) positive sequence impedance and negative sequence impedance, wherein, positive sequence voltage are respectively obtained according to positive sequence equivalent circuit and negative phase-sequence equivalent circuit
Equal to forward-order current and positive sequence impedance long-pending, negative sequence voltage is equal to negative-sequence current and negative sequence impedance long-pending;
(3) three phase voltages are represented with positive sequence voltage, negative sequence voltage respectively by symmetrical component method, with forward-order current, negative phase-sequence electricity
Stream represents three phase currents;
(4) relation between three phase voltages and positive sequence voltage, negative sequence voltage is substituted into the table between three line voltages and three phase voltages
Reach in formula, it is achieved represent three line voltages with positive sequence voltage, negative sequence voltage;
(5) connecing three formed loop voltages of line voltage of threephase generator according to star is the constraints of zero, the 3rd line voltage
Representing with other two line voltage, relational expression between two the line voltages and positive sequence voltage, the negative sequence voltage that obtain also is write as matrix
Form, then matrix is done inverse transformation, it is achieved represent two line voltages with positive sequence voltage, negative sequence voltage;
(6) connect three phase induction generator stator side from star and select to comprise two independent loops of above-mentioned line voltage, loop current respectively
For phase current, according to Kirchhoff's second law, write out the relation between the line voltage and phase current represented with matrix, according to
Two the line voltages obtained and positive sequence voltage, the relation of negative sequence voltage and two phase currents and forward-order current, the relation of negative-sequence current,
Obtain the coupled relation between positive sequence voltage, negative sequence voltage and forward-order current, negative-sequence current;
(7) use stream control voltage source to characterize coupling of positive sequence electricity quantity and negative phase-sequence electricity, set up star and connect that three phase induction generator is single-phase to be born
Carry the compound sequence network model of steady-state operation, by simple circuit transformations, carry out the change of negative phase-sequence circuit part in compound sequence network model
Letter and conversion, negative phase-sequence circuit and controlled source simplified partial are a simple impedance connected with positive sequence impedance the most at last, and then obtain
Simplify positive sequence equivalent circuit;
(8) using the impedance loop sum of simplification positive sequence equivalent circuit as object function, optimized variable stator electricity is obtained by optimization
Stream frequency perunit value and the excitatory reactance of positive sequence;
(9) search three phase induction generator magnetization curve further according to the excitatory reactance of positive sequence and obtain positive sequence induced potential, then by positive sequence etc.
Value circuit draws forward-order current, relation between forward-order current and negative-sequence current obtain negative-sequence current, and then obtained star by sequence electric current
Connect the phase current of three phase induction generator, phase current and impedance obtain the load voltage under base value frequency, and by frequency opisthotonos
Calculation is loaded virtual voltage accordingly;
(10) electricity such as electromotive force during three phase induction generator single-phase operation, electric current, voltage are obtained by above-mentioned analysis, it is achieved that
Star connects the design of three phase induction generator single-phase operation model.
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CN110133420A (en) * | 2019-05-08 | 2019-08-16 | 华南理工大学 | A kind of singlephase earth fault fast linear calculation method for uneven power distribution network |
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Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
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CN108736448A (en) * | 2018-06-14 | 2018-11-02 | 长春市腾新电气有限责任公司 | A kind of MKB motors accident alarming processing method |
CN110133420A (en) * | 2019-05-08 | 2019-08-16 | 华南理工大学 | A kind of singlephase earth fault fast linear calculation method for uneven power distribution network |
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