CN105205192B - A kind of three-phase ac electric arc furnace adaptive modeling device and its simulation algorithm - Google Patents
A kind of three-phase ac electric arc furnace adaptive modeling device and its simulation algorithm Download PDFInfo
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Abstract
The present invention relates to power quality analysis and control field, specially a kind of three-phase ac electric arc furnace adaptive modeling device and its simulation algorithm.The adaptive modeling device of three-phawse arc furnace can not only reflect the three-phase imbalance problem of electric arc furnaces, and can change accordingly model parameter according to the change of operating condition to be corresponding to it.The present invention is optimized and is adjusted to simulation parameters according to actual operating mode, electric arc furnaces can more be accurately reflected and really use electrical characteristics, to promote power grid and receive arc furnace load ability, provide fundamental basis to study the arc furnace power quality phenomenon under different operating conditions.
Description
Technical field
The present invention relates to power quality analysis and control field, specially a kind of three-phase ac electric arc furnace adaptive modeling dress
It sets and its simulation algorithm.
Background technique
In recent years, the increase of various nonlinear-loads causes electric power quality problem to get worse, and jeopardizes electric power
The safe and economic operation of system.Ac arc furnace is typical nonlinear-load, and influences maximum load to power quality
One of.
Electric arc furnaces modeling is the premise of arc furnace power quality analysis work.Model it is accurate whether, rationally whether, be applicable in
Property by force whether determine that can follow-up work smoothly be unfolded.Electric arc furnaces operating condition is complicated and changeable, so needing to establish a kind of suitable
Electric arc furnaces model building device for various working.
Current electric arc furnaces model often assumes three-phase equilibrium, represents three-phase with single-phase arc funace and is studied, main to wrap
Include nonlinear time-varying Resistance model for prediction, nonlinear time-varying voltage source model, time-varying reactance model based on the conservation of energy etc..And it is practical
Electric arc furnaces three phase power is simultaneously unequal, and three-phase imbalance problem is serious, carries out the electric arc furnaces model that above-mentioned hypothesis obtains and is difficult to instead
Reflect electric arc furnaces actual motion state.And this single-phase arc funace model tends not to be adjusted according to the change of electric arc furnaces operating condition
It is whole, it can not be corresponding with actual condition.
Summary of the invention
(1) technical problems to be solved
(1) model is adjusted according to the variation of three phase power in real time；
(2) the arc furnace power quality problem under different operating conditions is studied.
(2) technical solution
In order to solve the above-mentioned technical problems, the present invention provides a kind of three-phase ac electric arc furnace adaptive modeling device,
It is characterized in that, the three-phase ac electric arc furnace adaptive modeling device includes: bus 1, electric arc furnaces 3, tester 6, comprehensive modeling
Machine 7 and basic modeling engine 8；Transformer 2, electric arc furnaces 3 and voltage transformer 5 have been electrically connected on the bus 1；The electric arc
Furnace 3 is equipped with current transformer 4；The secondary side of the voltage transformer 5 and the voltage waveform input terminal of the tester 6 are electrically connected
It connects；The secondary side of the current transformer 4 is electrically connected with the current waveform input terminal of the tester 6；The number of the tester 6
It is connect according to output end with the operation data collection terminal of the comprehensive modeling machine 7；The model communication terminal of the basis modeling engine 8 passes through
Ethernet line 9 is connect with the model communication terminal of the comprehensive modeling machine 7.
In order to solve the above-mentioned technical problems, the present invention provides a kind of application three-phase ac electric arc furnace adaptive modeling devices
The method for carrying out the emulation of three-phase ac electric arc furnace adaptive modeling, the method are divided into following steps:
The three-phase ac electric arc furnace equivalent model of concentrated expression arc furnace power quality problem is established, in the equivalent model
Containing the parameter in need sought according to actual condition；
It is equivalent to power supply system progress, and the electric arc furnaces model simplification in the first step is calculated with facilitating, and then establish electricity
Arc furnace simplified model and its power supply system mathematical model；It containing parameter to be determined and is able to reflect in the electric arc furnaces simplified model
The output characteristics of electric arc furnaces；
According to power supply line and transformer parameter, mathematical model in electric arc furnaces three-phase operation power and second step, really
Three-phawse arc furnace adaptive algorithm is determined, to seek electric arc furnaces model parameter；
Model parameter is updated in electric arc furnaces model and completes modeling.
In order to solve the above-mentioned technical problems, the present invention provides a kind of application three-phase alternating current electric arcs described in claim 1
Furnace adaptive modeling device carries out three-phase ac electric arc furnace adaptive modeling method, the described method comprises the following steps:
The secondary side of the voltage transformer 5 is electrically connected by the first step with the voltage waveform input terminal of the tester 6；
The secondary side of the current transformer 4 is electrically connected with the current waveform input terminal of the tester 6；The number of the tester 6
It is connect according to output end with the operation data collection terminal of the comprehensive modeling machine 7；The tester 6 is real-time to the electric arc furnaces 3
Operation data is tested and is counted, and test data result is transferred to comprehensive modeling machine 7；
The electric arc furnace parameters collected are input in the basic modeling engine 8 by second step；The basis modeling engine 8
Equivalent model adaptable therewith is established according to the basic model and typing parameter of the electric arc furnaces 3；Obtained equivalent model is passed through
It crosses and simplifies calculating, form corresponding mathematics model, founding mathematical models are transmitted to by the comprehensive modeling machine 7 by both-way communication
In；
The mathematical modulo that third step, the measured data of tester 6 according to first two steps and basic modeling engine 8 export
Type, 7 operation of comprehensive modeling machine obtain collective model and parameter suitable for the electric arc furnaces operating system, finally obtain close
In the simulation model of the true operating condition of the electric arc furnaces 3, and realize to function derived from model data.
(3) beneficial effect
The adaptive modeling device of three-phawse arc furnace can not only reflect the three-phase imbalance problem of electric arc furnaces, and can basis
The change of operating condition changes model parameter accordingly to be corresponding to it.The present invention according to actual operating mode to simulation parameters into
Row optimization and adjustment, can more accurately reflect electric arc furnaces and really use electrical characteristics, thus to study the electricity under different operating conditions
Arc furnace power quality phenomenon promotes power grid and receives arc furnace load ability, provides fundamental basis.
Detailed description of the invention
In order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, to embodiment or will show below
There is attached drawing needed in technical description to be briefly described, it should be apparent that, the accompanying drawings in the following description is only this
Some embodiments of invention for those of ordinary skill in the art without creative efforts, can be with
It obtains other drawings based on these drawings.
Fig. 1 is a kind of structural representation of three-phase ac electric arc furnace adaptive modeling device one embodiment according to the present invention
Figure；
Fig. 2 is a kind of electric arc furnaces output of three-phase ac electric arc furnace adaptive modeling device one embodiment according to the present invention
I-V characteristic curve；
Fig. 3 is a kind of three-phase alternating current of three-phase ac electric arc furnace adaptive modeling device one embodiment according to the present invention
Arc furnace model equivalent circuit.
Specific embodiment
With reference to the accompanying drawings of the specification and embodiment, specific embodiments of the present invention will be described in further detail.With
Lower embodiment is merely to illustrate the present invention, but cannot be used to limit the scope of the invention.
The present invention provides a kind of three-phase ac electric arc furnace adaptive modeling device, including bus 1, electric arc furnaces 3, tester 6,
Comprehensive modeling machine 7 and basic modeling engine 8.Transformer 2, electric arc furnaces 3 and voltage transformer 5 have been electrically connected on bus 1；?
Electric arc furnaces 3 is equipped with current transformer 4.The secondary side of voltage transformer 5 is electrically connected with the voltage waveform input terminal of tester 6,
The secondary side of current transformer 4 is electrically connected with the current waveform input terminal of tester 6, the data output end and synthesis of tester 6
The operation data collection terminal of modeling engine 7 connects, and the model communication terminal of basic modeling engine 8 passes through ethernet line 9 and comprehensive modeling machine 7
Model communication terminal connection, realize both-way communication.
The present invention provides a kind of three-phase ac electric arc furnace adaptive modeling method, comprising the following steps:
The secondary side of voltage transformer 5 is electrically connected, Current Mutual Inductance by the first step with the voltage waveform input terminal of tester 6
The secondary side of device 4 is electrically connected with the current waveform input terminal of tester 6, data output end and the comprehensive modeling machine 7 of tester 6
The connection of operation data collection terminal.Tester 6 is tested and is counted to the real-time running data of electric arc furnaces 3, and by test data
As a result it is transferred to comprehensive modeling machine 7.
The electric arc furnace parameters collected are input in basic modeling engine 8 by second step, and basic modeling engine 8 is according to electric arc furnaces 3
Basic model and typing parameter, establish equivalent model adaptable therewith, and calculate by simplifying, form corresponding mathematical modulo
Founding mathematical models are transmitted in comprehensive modeling machine 7 by type by both-way communication.
Third step, the mathematical model exported according to the measured data of tester 6 in first two steps and basic modeling engine 8, it is comprehensive
It closes 7 operation of modeling engine and obtains collective model and parameter suitable for the electric arc furnaces operating system, finally obtain close to electric arc furnaces 3
Really it is the simulation model of operating condition, and model data export function is provided.
A kind of three-phase ac electric arc furnace adaptive modeling simulation algorithm, comprising the following steps:
Step 1: establishing the three-phase ac electric arc furnace equivalent model of concentrated expression arc furnace power quality problem, equivalent mould
Containing the parameter in need sought according to actual condition in type.
Electric arc furnaces exports I-V characteristic curve as shown in Fig. 2, relationship right and wrong between electric arc furnaces voltage and electric current as seen from the figure
Linear, this to model extremely difficult.For this purpose, being carried out segment processing.First stage: electric arc starts to light, and works as electric arc
Voltage is increased to zero, electric current also zero crossing.Equivalent circuit can be regarded as one open circuit, leakage current be it is existing, in this stage
With a constant resistance (Vg/ig) description voltage and current relationship；Second stage: electric arc has been established, during arc-melting,
Arc voltage declines suddenly, then tends towards stability.This process has the reciprocal function of time constant (b1) with one to describe.The
Three stages, electric arc start to extinguish, the more gentle decline of arc voltage.This process is still described with a reciprocal function, wherein band
Some time constants are b2.The mathematical model for obtaining the electric arc furnaces output characteristics as shown in formula (1) in summary (is with A phase
Example).
WhereinImFor the amplitude of electric current, unit is ampere；igFor invariable current, unit is ampere, Vg
For fixed voltage；B1 and b2 is time constant；VaIt (t) is A phase electric arc furnaces voltage, unit is volt, iaIt (t) is A phase current, it is single
Position is ampere；Vd1It is intended to electric arc furnaces voltage value when maximum value for electric current, unit is volt.
Step 2: it is equivalent to power supply system progress, and the electric arc furnaces model simplification in the first step is calculated with facilitating, in turn
Establish electric arc furnaces and its power supply system mathematical model.Wherein containing parameter to be determined and electricity is able to reflect in electric arc furnaces simplified model
The output characteristics of arc furnace.
Electric arc furnaces and its equivalent circuit diagram of power supply system are as shown in Figure 3.Wherein, in order to which convenience of calculation is by three-phawse arc furnace
Model simplification are as follows:
In formula, Va(t)、Vb(t)、VcIt (t) is respectively electric arc furnaces A, B, C phase voltage, unit is volt；Vd1、Vd2、Vd3Respectively
Corresponding electric arc furnaces voltage when being intended to maximum value for A, B, C phase current, unit is volt.
It can be obtained according to Fig. 3 and Thevenin's theorem:
Wherein R and L respectively represents the value of power supply system line resistance and inductance reduction to Circuit Fault on Secondary Transformer, unit difference
For ohm and henry.UA、UB、UCFor the three-phase voltage of supply voltage reduction to Circuit Fault on Secondary Transformer, expression formula are as follows:
Step 3: the mathematics according to power supply line and transformer parameter, in electric arc furnaces three-phase operation power and second step
Model determines three-phawse arc furnace adaptive algorithm, to seek electric arc furnaces model parameter.
Because Va, Vb, Vc are the discrete functions about the time, it has not been convenient to calculate, be carried out Fourier decomposition and take preceding 4
:
WhereinRespectively represent three-phase current ia、ib、icInitial phase angle.
It is brought into formula (5)~(7) respectively, the expression formula of ia, ib, ic can be acquired, then acquire Pa、Pb、PcTable
Up to formula.It is as follows:
Wherein
Wherein
BecauseSo can be obtained according to formula (11)-(13):
Enable Pa、Pb、PcEqual to electric arc furnaces three-phase actual motion power Pa,n、Pb,n、Pc,n, the other three can be obtained and describe Vd1、
Vd2、Vd3、Equation:
Ask the equation group being made of equation (17)~(22) that can acquire corresponding to actual motion power using iterative method
Vd1、Vd2、Vd3Value.To realize adaptively seeking for the parameter corresponding to actual condition.Whenever operating condition change is i.e. available
This algorithm seeks corresponding model parameter.
4th: the model parameter value sought in third step being substituted into formula (1), obtains reflection electric arc furnaces actual motion state
Triphase flow.
In conjunction with actual power situation, arc furnace power quality phase under different operating conditions can be analyzed using the model of above-mentioned foundation
Pass problem.
This model building device and its emulation mode are based on conventional electric energy quality test instrument and Modeling Analysis System, wiring shape
Formula is simple, focuses on simulation calculation in conjunction with measured data, modeling and simulating visual result is accurate.
The above embodiments are only used to illustrate the present invention, rather than limitation of the present invention.Although referring to embodiment to this hair
It is bright to be described in detail, those skilled in the art should understand that, to technical solution of the present invention carry out it is various combination,
Modification or equivalent replacement should all cover and want in right of the invention without departure from the spirit and scope of technical solution of the present invention
It asks in range.
Claims (1)
1. a kind of application three-phase ac electric arc furnace adaptive modeling device carries out three-phase ac electric arc furnace adaptive modeling method, institute
State method the following steps are included:
The three-phase ac electric arc furnace adaptive modeling device includes: bus (1), electric arc furnaces (3), tester (6), comprehensive modeling
Machine (7) and basic modeling engine (8)；Transformer (2), electric arc furnaces (3) and voltage transformer have been electrically connected on the bus (1)
(5)；The electric arc furnaces (3) is equipped with current transformer (4)；The secondary side of the voltage transformer (5) and the tester (6)
Voltage waveform input terminal electrical connection；The secondary side of the current transformer (4) and the current waveform of the tester (6) input
End electrical connection；The data output end of the tester (6) is connect with the operation data collection terminal of the comprehensive modeling machine (7)；Institute
The model communication terminal for stating basic modeling engine (8) is connected by the model communication terminal of ethernet line (9) and the comprehensive modeling machine (7)
It connects；
The secondary side of the voltage transformer (5) is electrically connected by the first step with the voltage waveform input terminal of the tester (6)；
The secondary side of the current transformer (4) is electrically connected with the current waveform input terminal of the tester (6)；The tester
(6) data output end is connect with the operation data collection terminal of the comprehensive modeling machine (7)；The tester (6) is to the electricity
The real-time running data of arc furnace (3) is tested and is counted, and test data result is transferred to comprehensive modeling machine (7), described
The mathematical model of electric arc furnaces output characteristics is as follows:
WhereinImFor the amplitude of electric current, unit is ampere；igFor invariable current, unit is ampere, VgFor not
Time variant voltage；B1 and b2 is time constant；VaIt (t) is A phase electric arc furnaces voltage, unit is volt, iaIt (t) is A phase current, unit is
Ampere；Vd1It is intended to electric arc furnaces voltage value when maximum value for electric current, unit is volt；
The electric arc furnace parameters collected are input in the basic modeling engine (8) by second step；Described basis modeling engine (8) root
Equivalent model adaptable therewith is established according to the basic model and typing parameter of the electric arc furnaces (3)；The equivalent model that will be obtained
It is calculated by simplifying, forms corresponding mathematics model, founding mathematical models are transmitted to by the comprehensive modeling machine by both-way communication
(7) in, the electric arc furnaces model simplification are as follows:
In formula, Va(t)、Vb(t)、VcIt (t) is respectively electric arc furnaces A, B, C phase voltage, unit is volt；Vd1、Vd2、Vd3Respectively A,
B, it is volt that C phase current, which is intended to corresponding electric arc furnaces voltage, unit when maximum value,；
The mathematical modulo that third step, the measured data of the tester according to first two steps (6) and basic modeling engine (8) export
Type, comprehensive modeling machine (7) operation obtain collective model and parameter suitable for the electric arc furnaces operating system, finally obtain and connect
It is bordering on the simulation model of the electric arc furnaces (3) operating condition, and is realized to function derived from model data, wherein is obtained applicable
In the collective model of the electric arc furnaces operating system and the specific steps of parameter are as follows: by Thevenin's theorem, Fourier is equivalent and Fu
In leaf decomposition method obtain three-phase current ia、ib、icInitial phase angle, finally enable Pa、Pb、PcEqual to electric arc furnaces three-phase actual motion
Power Pa,n、Pb,n、Pc,nFind out actual motion power Vd1、Vd2、Vd3Method.
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| CN201410274434.0A CN105205192B (en) | 2014-06-19 | 2014-06-19 | A kind of three-phase ac electric arc furnace adaptive modeling device and its simulation algorithm |
| PCT/CN2014/000879 WO2015192273A1 (en) | 2014-06-19 | 2014-09-28 | Self-adaptive modeling apparatus for three-phase alternating-current electric arc furnace, and simulation algorithm therefor |
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| CN201410274434.0A CN105205192B (en) | 2014-06-19 | 2014-06-19 | A kind of three-phase ac electric arc furnace adaptive modeling device and its simulation algorithm |
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| CN106096109A (en) * | 2016-06-03 | 2016-11-09 | 江苏大学 | A kind of centrifugal broadcast application dish work layout method |
| CN109472063B (en) * | 2018-10-19 | 2023-06-30 | 中国地质大学（武汉） | Modeling method of energy efficiency model of hot galvanizing unit |
| CN111579940A (en) * | 2020-05-06 | 2020-08-25 | 国网山东省电力公司电力科学研究院 | Electric arc furnace modeling and harmonic wave analysis method and system |
| CN113868817A (en) * | 2021-09-30 | 2021-12-31 | 山东大学 | Method and system for predicting stability of power system based on industrial power load simulation model |
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