CN109546874A - The source of the isolated power system of tape pulse load carries decoupling model modelling approach - Google Patents
The source of the isolated power system of tape pulse load carries decoupling model modelling approach Download PDFInfo
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- CN109546874A CN109546874A CN201811390711.9A CN201811390711A CN109546874A CN 109546874 A CN109546874 A CN 109546874A CN 201811390711 A CN201811390711 A CN 201811390711A CN 109546874 A CN109546874 A CN 109546874A
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
- H02M7/00—Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
- H02M7/02—Conversion of ac power input into dc power output without possibility of reversal
- H02M7/04—Conversion of ac power input into dc power output without possibility of reversal by static converters
- H02M7/12—Conversion of ac power input into dc power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
- H02M7/145—Conversion of ac power input into dc power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a thyratron or thyristor type requiring extinguishing means
- H02M7/155—Conversion of ac power input into dc power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a thyratron or thyristor type requiring extinguishing means using semiconductor devices only
- H02M7/162—Conversion of ac power input into dc power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a thyratron or thyristor type requiring extinguishing means using semiconductor devices only in a bridge configuration
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/28—Arrangements for balancing of the load in a network by storage of energy
- H02J3/32—Arrangements for balancing of the load in a network by storage of energy using batteries with converting means
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/36—Arrangements for transfer of electric power between ac networks via a high-tension dc link
-
- 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
- H02P6/00—Arrangements for controlling synchronous motors or other dynamo-electric motors using electronic commutation dependent on the rotor position; Electronic commutators therefor
- H02P6/34—Modelling or simulation for control purposes
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/36—Arrangements for transfer of electric power between ac networks via a high-tension dc link
- H02J2003/365—Reducing harmonics or oscillations in HVDC
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- Power Engineering (AREA)
- Control Of Eletrric Generators (AREA)
Abstract
The invention discloses a kind of sources of the isolated power system of tape pulse load to carry decoupling model modelling approach, is related to motor control modelling technique field.Described method includes following steps: utilizing synchronous generator Simplified equivalent model, constructs the coupling equivalent model of synchronous generator and pulse load；By introducing three bridge arm switch functions of rectifier, the alternating current-direct current side voltage of coupling equivalent-circuit model of synchronous generator and pulse load is derived, the source of electric current carries coupled relation；It is equivalent to DC side by the way that side internal impedance will be exchanged, so that power supply is equivalent to ideal voltage source, constructs the source and carry decoupling model.The method can embody source and carry influence details and reduction analysis difficulty of the coupling to DC side operation mechanism.
Description
Technical field
The present invention relates to the isolated power systems of motor control modelling technique field more particularly to a kind of load of tape pulse
Source carries decoupling model modelling approach.
Background technique
At present to the operation characteristic research of PL-IPS (IPS refers to isolated power system: Isolated Power System,
PL-IPS refers to the isolated power system with pulse load: IPS with Pulsed Load), it is all to source (generator
Group) or end (rectification type pulse load) independent modeling analysis is carried, do not deeply consider mathematical and Coupling Rule between the load of source.
The source of PL-IPS, which carries coupled relation, not only will affect the power output and performance of pulse load itself, can also transport to system and power supply
Row characteristic and stability have an impact.But considers that source carries coupling, then will increase the difficulty of system theory analysis.
Summary of the invention
The technical problem to be solved by the present invention is to how provide one kind to embody source load coupling to DC side operation machine
The influence details of reason, but the source that can reduce the isolated power system of the tape pulse load of analysis difficulty carries decoupling model modeling side
Method.
In order to solve the above technical problems, the technical solution used in the present invention is: a kind of independent power of tape pulse load
The source of system carries decoupling model modelling approach, it is characterised in that includes the following steps:
Using synchronous generator Simplified equivalent model, the coupling equivalent model of synchronous generator and pulse load is constructed；
By introducing three bridge arm switch functions of rectifier, the equivalent electricity of coupling of synchronous generator and pulse load is derived
The alternating current-direct current side voltage of road model, the source of electric current carry coupled relation；
It is equivalent to DC side by the way that side internal impedance will be exchanged, so that power supply is equivalent to ideal voltage source, constructs the source and carry solution
Coupling model.
A further technical solution lies in: synchronous generator and the coupling equivalent model of pulse load structures by the following method
It builds:
Synchronous generator is simplified, the rotor loop flux linkage equations of synchronous generator are constructed are as follows:
Wherein,Respectively d axis excitation winding magnetic linkage, q axis short-circuited winding electric current magnetic linkage, d axis
Damper Winding magnetic linkage and q axis Damper Winding magnetic linkage；ifd、ifq、ikd、ikqRespectively d axis excitation winding electric current, q axis short-circuited winding electricity
Stream, d axis Damper Winding electric current and q axis Damper Winding electric current；id、iqRespectively unit output d shaft current and q shaft current；WithRespectively ifd、ifq、idAnd iqAperiodic component；xfds、xfqs、xkds、xkqsRespectively d axis excitation around
Group, q axis short-circuited winding, d axis Damper Winding and q axis Damper Winding leakage reactance；xadSynchronous reactance, as d axis are reacted for d armature axis
The transreactance sense of three windings；xaqSynchronous reactance, as the transreactance sense of three windings of q axis are reacted for q armature axis；
I is found out by formula (1)fd、ikd、ifqAnd ikqAfterwards, Park flux linkage equations are substituted into, d, q axis magnetic linkage formula are obtained are as follows:
Wherein,For d axis magnetic linkage,For q axis magnetic linkage, xd、xqRespectively d, q axis winding is from induction reactance, x "d、x”qRespectively
D, the super transition equivalent reactance of q axis；
C phase arrives the alternate current equation of a are as follows:
Wherein, idcFor commutation system DC side electric current, θ is rotor angle, i.e. θ=ω t；
The voltage equation that formula (2) and formula (3) are substituted into motor, can obtain d, q shaft voltage are as follows:
Wherein, udFor synchronous generator d shaft voltage, uqFor synchronous generator q shaft voltage, r is the armature electricity of synchronous generator
Resistance；
If x "d=x "q, then the Simplified equivalent model for obtaining synchronous generator is as follows:
Wherein, ua、ub、ucRespectively a, b, c phase voltage of synchronous generator alternating current side output, xtFor commutating reactance, xT=
(x”d+x”q)/2；R is armature resistance；E1For the electromotive force amplitude of synchronous generator, δ is the initial phase angle of synchronous generator；
x'd、x'qRespectively d, q axis transient state reactance；
The rectifier of pulse load uses three-phase bridge fully controlled rectifier structure, 6 turn on thyristors in isolated power system
Sequence is VT1 → VT2 → VT3 → VT4 → VT5 → VT6, if Trigger Angle α=0 °, state switching times M=6, draws in a period
Enter the switch function S of tri- bridge arms of abca、Sb、Sc:
Then power supply output exchange side voltage ua、ub、ucWith pulse load DC voltage udcCoupled relation be
udc=Saua+Sbub+Scuc (7)
Formula (5), (6) are substituted into formula (7), obtain DC voltage udc
rs=r, Ls=xt；
Enabling pulse load DC side electric current is idc, then power supply exports exchange side three-phase current ia、ib、icIt is straight with pulse load
Flow side electric current idcCoupled relation be
ix=Sxidc(x=a, b, c) (9)
Formula (8) and formula (9) are the source load coupling of synchronous generator (source) and pulse load (carrying end) voltage, electric current
Close equivalent model.
Preferably, synchronous generator is simplified by the following method:
1) ignore the aperiodic component of Damper Winding electric currentWith
2) ignore influence of the rotor loop to alternating current.
A further technical solution lies in: ideal voltage source obtains by the following method in the equivalent voltage of DC side:
Formula (9) are substituted into formula (8) and obtain DC voltage u through mathematical derivationdc
rs=r, Ls=xt；
S is learnt in calculatinga 2+Sb 2+Sc 2=2, and?
It is found that Saea+Sbeb+ScecFor ideal voltage source pulse load DC side equivalent voltage.
A further technical solution lies in the formula that the source carries decoupling model is as follows:
In formula, ea、eb、ecFor ideal voltage source voltage, then Saea+Sbeb+ScecFor ideal source voltage eabcIt is equivalent to arrive arteries and veins
The voltage for rushing load DC side enables it for edc；(-2Ls(didc/dt)-2rsidc) it is the coupling that the synchronous generator internal resistance of source resists
Voltage.
The beneficial effects of adopting the technical scheme are that source is carried coupling key parameters from source by the method
It exchanges equivalent arrive in side and carries end DC side, so that power supply is equivalent to an ideal source, the coupled relation of the two is released, to DC side
When carrying out theory analysis, source can be embodied and carry coupling to theoretical point of the influence details and reduction for carrying end DC side operation mechanism
The difficulty of analysis.
Detailed description of the invention
The present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments.
Fig. 1 is the functional block diagram of pulse load in the method for the embodiment of the present invention；
Fig. 2 is d axis subtransient reactance equivalent circuit diagram in the embodiment of the present invention；
Fig. 3 is q axis subtransient reactance equivalent circuit diagram in the embodiment of the present invention；
Fig. 4 is that the source PL-IPS carries coupling model equivalent circuit diagram in the embodiment of the present invention；
Fig. 5 is u in the embodiment of the present inventiondcWith u⊥ dc'sWaveform diagram；
Fig. 6 is the decoupling model equivalent circuit diagram that the source PL-IPS carries in the embodiment of the present invention；
Fig. 7 is the flow chart of the method for the embodiment of the present invention.
Specific embodiment
With reference to the attached drawing in the embodiment of the present invention, technical solution in the embodiment of the present invention carries out clear, complete
Ground description, it is clear that described embodiment is only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other
Embodiment shall fall within the protection scope of the present invention.
In the following description, numerous specific details are set forth in order to facilitate a full understanding of the present invention, but the present invention can be with
Implemented using other than the one described here other way, those skilled in the art can be without prejudice to intension of the present invention
In the case of do similar popularization, therefore the present invention is not limited by the specific embodiments disclosed below.
As shown in fig. 7, the source load the embodiment of the invention discloses a kind of isolated power system of tape pulse load is decoupling
Model modelling approach includes the following steps:
Using synchronous generator Simplified equivalent model, the coupling equivalent model of synchronous generator and pulse load is constructed；
By introducing three bridge arm switch functions of rectifier, the equivalent electricity of coupling of synchronous generator and pulse load is derived
The alternating current-direct current side voltage of road model, the source of electric current carry coupled relation；
It is equivalent to DC side by the way that side internal impedance will be exchanged, so that power supply is equivalent to ideal voltage source, constructs the source and carry solution
Coupling model.
Above-mentioned steps are described in detail below with reference to particular content:
Pulse load definition and feature:
The appearance of pulse load is derived from special functional requirement, such as high power pulse weapon, magnetic artillery, radar, electromagnetism bullet
Injection device, laser emitter etc..With the development of High pulse power technology, the control precision of pulse load is also increased accordingly, work
Working frequency range is also widened.These pulsing units all have with electrical characteristics mean power is low, peak power is high, continue week
The characteristics of phase property is pulsed.
By the research to various machine utilization characteristics, be defined as: " electricity consumption characteristic parameter value is in short duration
After mutation, its original state is rapidly returned back to, the peak power of mutation is very high, but mean power is lower, and has some cycles
Load." for example, the working frequency of certain phased-array radar transmitter is up to 400Hz, peak power is up to 50kW, and average function
Rate only has 2.8kW.The feature of pulse load shows themselves in that
(1) there is continuous cycles, duty cycle TPLGenerally less than 1s；
(2) there is mutability, load condition can be in instantaneous variation, and action time is short；
(3) changed power is fast, and peak power is very high, and mean power is lower；
According to the height of working frequency, pulse load can be divided into high-frequency impulse load (such as AC-DC, DC-DC, DC-AC unsteady flow
Device etc.), medium-frequency pulse load (such as if radar, aviation electronics load) and low-frequency pulse load (such as magnetic artillery, ships electronics
Load etc.)；By power supply characteristic, and AC and DC pulse load can be divided into.
Rectification type pulse load typical structure:
Various pulsing unit circuit structures are complicated, and parameter is various, and building pulse load typical structure is the research source PL-IPS
Carry the premise of coupled characteristic.The method is directed to rectification type pulse load, simplifies non-key parameter and characteristic, retains its power arteries and veins
Dynamic outer feature constructs the model structure with typicalness.
Rectification type pulse load typical structure:
By the research to a variety of pulsing units it is found that diesel generating set can not be straight since electro-mechanical adjustment speed is slow
It is connected in power emission module and instantaneous electric energy is provided, be necessarily required to that energy storage device is added in its front end, to provide instantaneous high power
Pulse.Therefore, rectification type pulse load typical structure can be described as " exchange side rectification module → energy-storage units → direct current lateral vein
Rush power energy consumption unit " cascade structure, as shown in Figure 1, wherein DC side pulse power energy consumption unit switch on-off can be used
Ohmic load is simulated.
The structure disposes rectifier (wherein, switching may be selected the components such as diode, thyristor, IGBT) in exchange side,
Energy-storage units use capacitor Ces(battery, super capacitor or other energy storage devices can be selected) in energy storage, DC side inductance LdcFor
Filter out DC side switch S1、S2Caused peak current, Inductor LsFor smoothly exchanging the dash current of side, pass through tune
The size of whole rheostat R carrys out the different power loss in analog DC side.Analog controller output sequence sH、sLControl switch respectively
S1、S2, with the high frequency of analog pulse load, low-frequency pulse characteristic.
Pulse characteristic simulation and the model scope of application:
To make DC side power generate pulse characteristic shown in Fig. 1, if g (t) is unit cycle rectangular wave expression formula, then have
sH=gH(t), sL=gL(t) (1)
gHIt (t) is high frequency period rectangular wave, period TH, duty ratio rH；gLIt (t) is high frequency period rectangular wave, the period is
TL, duty ratio rL.As it can be seen that the waveform has two kinds of high frequency, low frequency parameters, such as the repetition rate f of radar equipmentLAnd carrier frequency
Rate fH.This makes it possible to obtain pulse power waveform pPL(t) general expression are as follows:
pPL(t)=ppeak×gL(t)×gH(t) (2)
Then its mean power are as follows:
PPL=ppeak×rL×rH (3)
The formula has generality, can represent the pulse power characteristic of pulse load, work as rHWhen=100%, there is gH(t)=1,
Then pPL(t)=ppeak×gL(t), continuous work in the pulse load low-frequency cycle at this time；Work as rLWhen=100%, there is gL(t)=
1, then pPL(t)=ppeak×gH(t), the pulse load continues working under high frequency mode at this time.
It, can be by two control switch S for easy analysis1、S2It is considered as a switch S0, switch function
s0(t)=gH(t)×gL(t) (4)
s0(t) the variable cycle T havingPL(frequency fPL) and duty ratio r.
By Fig. 1 structure it is found that DC side energy consumption unit is subjected to maximum surge current, because of the needs of high frequency switching, herein
Switch S0It is suitable to select IGBT device.Voltage class 600V~1700V of IGBT device, power bracket are often used according to current market
60kW (100A/600V)~1020kW (600A/1700V), therefore, which is suitable for simulation middle low power, and (peak power is small
In 1MW), the rectification type pulsing unit of low pressure (DC voltage be less than 2kV) occasion.
The source PL-IPS carries mathematical model coupling and establishes:
PL-IPS diesel-driven generator pool-size is limited, inertia coeffeicent is small, and pulse load is lasting, period power pulsations are bound to
It will cause the fluctuation of busbar voltage virtual value, busbar voltage is the power supply of pulse load DC side via rectifier, fluctuates and then draws
The fluctuation for playing bearing power and peak power, to aggravate the oscillation of power of whole system.This load running characteristic and power supply
The interactional relationship of operation characteristic, referred to as " source carries coupling ".
Intense source carry coupling make PL-IPS operation characteristic and rule be different from public network system, therefore, to PL-IPS into
When row theory analysis, it can neither be detached from the operation characteristic that power supply individually discusses pulse load, load can not be detached from and individually discussed
The operation characteristic of diesel generating set.Coupling mathematical relationship will be carried to the source PL-IPS below to derive, source of finding out carries crucial ginseng
The coupled relation of (voltage, frequency and power) is measured, lays theoretical base for the temporary Steady research in PL-IPS alternating current-direct current side
Plinth.
Synchronous generator couples equivalent circuit with pulse load:
When bulk power system models, power supply often uses ideal voltage source；And in the small isolated power system of inertia, this
Kind of processing can not stability problem in reflection system.The mechanical process of synchronous generator will be slower than electromagnetic process, therefore disturb
The dynamic moment occurred, operation characteristic depend primarily on the variation of each electromagnetic quantities.
Necessary simplification is carried out to synchronous generator first: 1. ignoring the aperiodic component i of Damper Winding electric currentkdAnd ikq
(decaying is very fast)；2. ignoring influence of the rotor loop to alternating current；③xadSynchronous reactance, as d axis three are reacted for d armature axis
The transreactance sense of a winding (d axis, excitation and damping)；xaqFor q armature axis react synchronous reactance, as three windings of q axis (q axis, temporarily
State process corresponds to the biggish equivalent damping of time constant and time transient process correspond to the equivalence of time constant very little and damps) transreactance
Sense.Then rotor loop flux linkage equations are as follows:
Wherein,Respectively d axis excitation winding magnetic linkage, q axis short-circuited winding electric current magnetic linkage, d axis
Damper Winding magnetic linkage and q axis Damper Winding magnetic linkage；ifd、ifq、ikd、ikqRespectively d axis excitation winding electric current, q axis short-circuited winding electricity
Stream, d axis Damper Winding electric current and q axis Damper Winding electric current；id、iqRespectively unit output d shaft current and q shaft current；WithRespectively ifd、ifq、idAnd iqAperiodic component；xfds、xfqs、xkds、xkqsRespectively d axis excitation around
Group, q axis short-circuited winding, d axis Damper Winding and q axis Damper Winding leakage reactance；xadSynchronous reactance, as d axis are reacted for d armature axis
The transreactance sense of three windings；xaqSynchronous reactance, as the transreactance sense of three windings of q axis are reacted for q armature axis；D, the super transition of q axis
Reactance equivalent circuit is as shown in Figure 3.
I is found out by formula (5)fd、ikd、ifqAnd ikqAfterwards, Park flux linkage equations are substituted into, it is as follows to obtain d, q axis magnetic linkage formula:
Wherein,For d axis magnetic linkage,For q axis magnetic linkage, xd、xqRespectively d, q axis winding is from induction reactance, x "d、x”qRespectively
D, the super transition equivalent reactance of q axis；
(1) current equation during commutation has at this time by taking c phase → a phase as an example:
Wherein, idcFor commutation system DC side electric current, θ is rotor angle, i.e. θ=ω t.
The voltage equation that formula (6) and formula (7) are substituted into motor, can obtain d, q shaft voltage equation are as follows:
Wherein, udFor synchronous generator d shaft voltage, uqFor synchronous generator q shaft voltage, r is the armature electricity of synchronous generator
Resistance；
If x "d=x "q, then
Wherein, ua、ub、ucRespectively a, b, c phase voltage of synchronous generator alternating current side output, xtFor commutating reactance, xT=
(x”d+x”q)/2；R is armature resistance；E1For the electromotive force amplitude of synchronous generator, δ is the initial phase angle of synchronous generator.
x'd、x'qRespectively d, q axis transient state reactance；
(2) voltage equation during being connected has at this time by taking a, b are conducted as an example
The voltage equation that formula (6) and formula (10) are substituted into motor, can obtain
Equally set x "d=x "q, then
Contrast (9) and formula (12) as it can be seen that synchronous generator commutate with conducting during, output end voltage equation phase
Together, i.e., all it is represented by an ideal voltage source eabc(t) form being connected in series with internal impedance is distinguished source for convenience and is carried
Inner parameter is held, r is enableds=r (armature resistance), Ls=xt(commutating reactance, value are (x "d+x”q)/2), synchronous generator and arteries and veins
Load equivalent circuit model is rushed, i.e. it is as shown in Figure 4 to carry coupling model for the source PL-IPS.
PL-IPS key parameters source carries coupled relation:
The source PL-IPS carries coupling model based on shown in Fig. 4, further derives PL-IPS key parameters (voltage, power and frequency
Rate) source carry coupling relationship.
Source carries voltage coupled relation and derives:
1, the source of pulse load DC voltage carries coupled relation
In order to facilitate derivation, rectifier uses relatively simple three-phase bridge fully controlled rectifier structure, 6 thyristors in Fig. 4
Turn-on sequence is VT1 → VT2 → VT3 → VT4 → VT5 → VT6, if Trigger Angle α=0 °, state switching times M=6 in a period
(6 pulse wave rectifier circuits, according to 12 pulse wave rectifiers, then M=12).Introduce the switch function S of tri- bridge arms of abca、Sb、Sc:
Then power supply output exchange side voltage ua、ub、ucIt is equivalent to arrive DC voltage udcAre as follows:
udc=Saua+Sbub+Scuc (14)
Enabling pulse load DC side electric current is idc, then ac-side current ia、ib、icFor
ix=Sxidc(x=a, b, c) (15)
Formula (12), (13), (15) are substituted into formula (14), obtain DC voltage udc
S is known in calculatinga 2+Sb 2+Sc 2=2, and?
Formula (16) and formula (15) are the source load of synchronous generator (source) and pulse load (carrying end) voltage, electric current
Couple equivalent model.
It is found that Sa ea+Sb eb+Sc ecIt is ideal voltage source in the equivalent voltage of pulse load DC side, then the formula table
It is bright: to carry end DC voltage udcIt is determined by unit equivalent internal resistance is anti-.
The source of electric power output voltage carries coupled relation formula:
The known instantaneous value expression of synchronous generator three-phase voltage is ua、ub、uc, synchronized coordinate is transformed to ud, uq:
Wherein, VtIt is power supply virtual value U's for generator end phase voltage amplitudeTimes.As can be seen from the above equation
Formula (16) are substituted into formula (12) again, then substitute into formula (18), are obtained
S is known in calculatinga 2+Sb 2+Sc 2=2, and SaSb+SbSc+ScSa=-1, obtains
It is found thatFor the phase voltage amplitude of ideal voltage source, its value is enabled to beU0For ideal voltage source virtual value, haveThen have
The formula shows: since the equivalent internal resistance of diesel generating set is anti-, synchronous generator output voltage amplitude VtBy negative
Carry DC voltage idcInfluence.
Therefore, formula (16) and formula (19) are that the source of PL-IPS carries voltage coupled relation formula.The formula shows power supply output phase
Voltage magnitude Vt(or voltage effective value U) and pulse load DC voltage udcSince the equivalent internal resistance of diesel generating set is anti-tight
Close association.
Source carries power coupled relation and derives:
Based on instantaneous power theory, definition exchange side instantaneous active power pPLWith instantaneous reactive power qPLSuch as formula (20) institute
Show, wherein instantaneous reactive power corresponds to traditional reactive power, and the positive energy exchange between each phase of system is directly proportional, but carries it to source
Between energy transmission do not work, and with symbol " vai " indicate.Formula (12), (16) are substituted into formula (20), can be obtained:
Know udc=(ua Sa+ub Sb+uc Sc) it is DC voltage, define u⊥dc=(uab Sc+ubc Sa+uca Sb)。
Above formula shows to exchange side instantaneous active power pPLFor DC voltage udcWith DC side electric current idcProduct, and qPL
For u⊥dcAnd idcProduct.Therefore, corresponding with exchange side instantaneous active, virtual work concept, by udc=(ua Sa+ub Sb+uc
Sc) and u⊥dc=(uab Sc+ubc Sa+uca Sb) it is referred to as DC side " equivalent active voltage " and " equivalent virtual work voltage ",
Theoretical waveform is as shown in Figure 5.
As can be seen from Figure 5: udcIt is the output voltage of rectifier, principal mode is the direct current with ripple, ripple frequency
Rate is 6f0, and fluctuation amplitude is smaller；And u⊥dcBe a frequency be 6f0Sawtooth voltage, average value 0, physical significance
For rectifier is used for the voltage of Power Exchange in the process of running.
It is noted that 1. the practical instantaneous active power of pulse load generates p at resistance RR, but pPL≠pR, from
The angle of power conservation, has②qPLEssence be DC side inductance Ldc, capacitor CesIn the process of running for handing over
The power changed, the power are not consumed, have
Formula (20) is PL-IPS exchange side instantaneous power pPL、qPLCoupling with pulse load DC voltage electric current is closed
It is formula.
The analysis of source carrier frequency rate coupled relation:
Formula (20) are substituted into the synchronous generator rotor equation of motion, are obtained
Wherein, δ is generator's power and angle, and H is rotary inertia, PmFor mechanical output, PDFor Damping Power, PeFor electromagnetic work
Rate, ω are generator actual angular frequency, ω0For the specified angular frequency of generator, f is system frequency, f0For system nominal frequency.
The formula shows that system frequency and pulse load DC voltage electric current are interrelated, which is PL-IPS system
The coupled relation formula of frequency and pulse load voltage and current.
The source PL-IPS carries decoupling model:
Since rectification type pulse load is non-linear, consideration source carries the difficulty that theory analysis can be then significantly greatly increased in coupling.If
Both source can be carried to coupling key parameters, and from exchange, side is equivalent so that power supply is equivalent to an ideal source to DC side, release
Coupled relation, then can embody source when carrying out theory analysis to DC side and carry influence of the coupling to DC side operation mechanism
Details, and the difficulty of theory analysis can be reduced.
The source for obtaining PL-IPS by mathematical derivation is carried into " decoupling " model below, formula (16) is written as follow form
In formula, ea、eb、ecFor ideal voltage source voltage, then Sa ea+Sb eb+Sc ecFor ideal source voltage eabcIt is equivalent
To the voltage of pulse load DC side, enable as edc.The formula shows that source carries the DC voltage u under couplingdcTwo parts can be divided into:
1. ideal source eabcThe DC voltage e of generationdc；2. anti-the coupled voltages (- 2L of the internal resistance of sources(didc/dt)-2rsidc)。
As it can be seen that the internal resistance of source can be resisted (resistance r when studying pulse load DC side operation mechanismsWith reactance Ls) equivalent
To DC side, and from carrying for end, power supply then can be considered an ideal voltage source.The source PL-IPS of Fig. 4 carries coupling model as a result,
It can be equivalent to source and carry " decoupling " model, as shown in Figure 6.
In figure, by exchange side equivalent impedance to DC side, equivalent resistance 2rs, equivalent inductance value 2Ls；udcFor
DC side output voltage under " source carries coupling " state, edcFor DC side output voltage under " decoupling " state, physical significance is
Ideal voltage source eabcIn the equivalent voltage of DC side.
By switch function Sa、Sb、ScFourier space is expanded into, e can be obtaineddcExpression formula
Wherein, the π of ω=2 f0, f0To exchange side power supply system (diesel generating set) frequency, f0=50Hz, E are desired electrical
Potential source voltage peak,
It can be seen that edcIt is formed by multiple subharmonic item (Mn times, n=1,2,3 ..., M=6) of DC terms and 6, with
The amplitude of the increase of series n, cosine term is gradually reduced, wherein
Therefore, 6 subharmonic Xiang Weiqi main harmonic item.The value of M is determined by the state switching times in rectifier a cycle
It is fixed, M=6 herein, referred to as " 6 pulse wave rectifier circuit ".If using 12 pulse wave rectifier circuit, M=12.E as a result,dcIt can be close
Seemingly it is expressed as
It can be calculated edcAverage value and maximum value be
Source carries " decoupling " model since coupled voltages are equivalent to load DC side, and source is equivalent to a desired electrical
Potential source, therefore, when carrying out pulse load DC side specificity analysis, it is not necessary to consider influence of the source operation characteristic to it, thus
Greatly reduce analysis difficulty.
It should be pointed out that the model is derived from formula (12) to formula (22), and the derivation process of formula (12) only considered together
Walk generator electromagnetic equation, do not account for prime mover mechanical equation (mechanical separator speed coupled relation derivation sees formula (21), because
And the model is only applicable to the theory analysis that the source PL-IPS carries coupled electric characteristic, to revolving speed (the system frequency of diesel generating set
Rate) analysis be then to reflect from power side, and directly verify from actual tests.
Claims (5)
1. a kind of source of the isolated power system of tape pulse load carries decoupling model modelling approach, it is characterised in that including as follows
Step:
Using synchronous generator Simplified equivalent model, the coupling equivalent model of synchronous generator and pulse load is constructed；
By introducing three bridge arm switch functions of rectifier, the coupling equivalent circuit mould of synchronous generator and pulse load is derived
The alternating current-direct current side voltage of type, the source of electric current carry coupled relation；
It is equivalent to DC side by the way that side internal impedance will be exchanged, so that power supply is equivalent to ideal voltage source, it is decoupling to construct the source load
Model.
2. the source of the isolated power system of tape pulse load as described in claim 1 carries decoupling model modelling approach, special
Sign is: synchronous generator and the coupling equivalent model of pulse load construct by the following method:
Synchronous generator is simplified, the rotor loop flux linkage equations of synchronous generator are constructed are as follows:
Wherein,Respectively d axis excitation winding magnetic linkage, q axis short-circuited winding electric current magnetic linkage, the damping of d axis
Winding magnetic linkage and q axis Damper Winding magnetic linkage；ifd、ifq、ikd、ikqRespectively d axis excitation winding electric current, q axis short-circuited winding electric current, d
Axis Damper Winding electric current and q axis Damper Winding electric current；id、iqRespectively unit output d shaft current and q shaft current；WithRespectively ifd、ifq、idAnd iqAperiodic component；xfds、xfqs、xkds、xkqsRespectively d axis excitation around
Group, q axis short-circuited winding, d axis Damper Winding and q axis Damper Winding leakage reactance；xadSynchronous reactance, as d axis are reacted for d armature axis
The transreactance sense of three windings；xaqSynchronous reactance, as the transreactance sense of three windings of q axis are reacted for q armature axis；
I is found out by formula (1)fd、ikd、ifqAnd ikqAfterwards, Park flux linkage equations are substituted into, d, q axis magnetic linkage formula are obtained are as follows:
Wherein,For d axis magnetic linkage,For q axis magnetic linkage, xd、xqRespectively d, q axis winding is from induction reactance, x "d、x”qRespectively d, q axis
Super transition equivalent reactance；
C phase arrives the alternate current equation of a are as follows:
Wherein, idcFor commutation system DC side electric current, θ is rotor angle, i.e. θ=ω t；
The voltage equation that formula (2) and formula (3) are substituted into motor, can obtain d, q shaft voltage are as follows:
Wherein, udFor synchronous generator d shaft voltage, uqFor synchronous generator q shaft voltage, r is the armature resistance of synchronous generator；
If x "d=x "q, then the Simplified equivalent model for obtaining synchronous generator is as follows:
Wherein, ua、ub、ucRespectively a, b, c phase voltage of synchronous generator alternating current side output, xtFor commutating reactance, xt=(x "d+
x”q)/2；R is armature resistance；E1For the electromotive force amplitude of synchronous generator, δ is the initial phase angle of synchronous generator；
x'd、x'qRespectively d, q axis transient state reactance；
The rectifier of pulse load uses three-phase bridge fully controlled rectifier structure, 6 turn on thyristors sequences in isolated power system
For VT1 → VT2 → VT3 → VT4 → VT5 → VT6, if Trigger Angle α=0 °, state switching times M=6 in a period introduces abc
The switch function S of three bridge armsa、Sb、Sc:
Then power supply output exchange side voltage ua、ub、ucWith pulse load DC voltage udcCoupled relation be
udc=Saua+Sbub+Scuc (7)
Formula (5), (6) are substituted into formula (7), obtain DC voltage udc
rs=r, Ls=xt；
Enabling pulse load DC side electric current is idc, then power supply exports exchange side three-phase current ia、ib、icWith pulse load DC side
Electric current idcCoupled relation be
ix=Sxidc(x=a, b, c) (9)
Formula (8) and formula (9), which are synchronous generator, to be carried with the source of pulse load voltage, electric current and couples equivalent model.
3. the source of the isolated power system of tape pulse load as claimed in claim 2 carries decoupling model modelling approach, special
Sign is: synchronous generator simplified by the following method:
1) ignore the aperiodic component of Damper Winding electric currentWith
2) ignore influence of the rotor loop to alternating current.
4. the source of the isolated power system of tape pulse load as claimed in claim 2 carries decoupling model modelling approach, special
Sign is that ideal voltage source obtains by the following method in the equivalent voltage of DC side:
Formula (9) are substituted into formula (8) and obtain DC voltage u through mathematical derivationdc
rs=r, Ls=xt；
S is learnt in calculatinga 2+Sb 2+Sc 2=2, and?
It is found that Saea+Sbeb+ScecFor ideal voltage source pulse load DC side equivalent voltage.
5. the source of the isolated power system of tape pulse load as claimed in claim 4 carries decoupling model modelling approach, special
Sign be the source carry decoupling model formula it is as follows:
In formula, ea、eb、ecFor ideal voltage source voltage, then Saea+Sbeb+ScecFor ideal source voltage eabcIt is equivalent negative to pulse
The voltage for carrying DC side enables it for edc；(-2Ls(didc/dt)-2rsidc) it is the coupled voltages that the synchronous generator internal resistance of source resists.
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| CN115833547A (en) * | 2023-02-08 | 2023-03-21 | 西南交通大学 | Decoupling circuit suitable for wide-band pulse load and control method |
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