CN104319817B - A kind of analytical method for wind energy turbine set and electric iron reciprocal effect - Google Patents
A kind of analytical method for wind energy turbine set and electric iron reciprocal effect Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
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Abstract
The invention discloses a kind of analytical method for wind energy turbine set and electric iron reciprocal effect, it is according to electric railway load character, sets up the mathematics mechanism model containing high ferro and general iron, multiple stage blower fan is equivalent to a certain equivalent parameters
separate unit blower fan set up windfarm system Equivalent Model; Set up unbalanced source voltage that electrified railway traction load causes to running of wind generating set characteristic mathematical analysis model; Set up the mathematic simulated mode that Voltage Drop that electrified railway traction load causes affects Wind turbines, utilize electric locomotive model, the windfarm system Equivalent Model that integrating step 1 is set up, analyzing wind farm wind velocity change affects electrified railway traction load; The unbalanced source voltage that electrified railway traction load causes is analyzed Wind turbines impact the Voltage Drop that running of wind generating set impact, electrified railway traction load cause; Solve imbalance of three-phase voltage and Voltage Drop may cause Wind turbines unstability, have a strong impact on the problem such as safe and stable operation and electrified railway power supply reliability of electrical network.
Description
Technical field
The invention belongs to Study on Power Grid Planning technical field, particularly relate to a kind of analytical method for wind energy turbine set and electric iron reciprocal effect.
Background technology
Because wind energy has stochastic volatility and intermittent feature, along with the large-scale development of wind power generation, wind-powered electricity generation brings huge challenge to Electric Power Network Planning, run and control etc., and the relevant issues of research and solution wind-powered electricity generation have become the new focus of domestic and international power industry.Double-fed type induction generator is most widely used among all Wind turbines types, mainly owing to it using AC excitation speed governing flexibly, rotating speed along with the external world change response rapidly and excursion is wider, the change of extraneous wind speed can be followed the tracks of fast thus obtain best running speed and obtain high wind energy capturing efficiency.Meanwhile, the Converter Capacity of double-fed type induction generator is only about 30% of Wind turbines rated capacity, and its power control capabilities is very flexible, and cost is lower.
After large-scale nonlinear height iron load access electrical network, mainly can produce the impact of power, voltage fluctuation and flicker, electrical network asymmetrical three-phase and harmonic influence to electrical network.The asymmetry of high iron load itself can add Iarge-scale system three-phase imbalance; The reactive power impact produced can make electrical network produce voltage fluctuation and flicker; The active power produced is impacted meeting influential system frequency change and is changed generator amature rotating speed; The harmonic wave produced can produce certain impact to the electric equipment (generator, transformer, Capacitor banks etc.) in electrical network, thus add the operation of bulk power grid and the difficulty of control, the quality of power supply of severe exacerbation electrical network, reduce the safe and stable operation of electrical network power consumption equipment, affect the power quality of local resident.
Along with the situation of being incorporated into the power networks jointly of electric railway in recent years and wind energy turbine set increases, the imbalance of three-phase voltage that electrization railway draught load produces and the stable operation of Voltage Drop to Wind turbines propose baptism, even likely cause Wind turbines unstability, have a strong impact on the safe and stable operation of electrical network.When after electric railway connecting system, the unbalanced source voltage caused can make wind energy turbine set set end voltage introduce negative sequence voltage, and the constraints causing control system normally to work is broken, and has a negative impact to the operation of Wind turbines; The Voltage Drop caused can cause falling rapidly of the stator terminal voltage of double-feedback aerogenerator group, thus the electromagnetic transient causing generator violent.And wind energy turbine set is owing to being subject to the fluctuation impact of wind speed, exerting oneself also presents fluctuation, also can cause the electrization railway draught load high voltage bus voltage and current fluctuation of access electrical network, affect the power supply reliability of electric railway.
Summary of the invention
The technical problem to be solved in the present invention: a kind of analytical method for wind energy turbine set and electric iron reciprocal effect is provided, the imbalance of three-phase voltage produced with the electrization railway draught load that exists of being jointly incorporated into the power networks solving prior art electric railway and wind energy turbine set and Voltage Drop may cause Wind turbines unstability, the problems such as the safe and stable operation having a strong impact on electrical network and the power supply reliability that affects electric railway.
Technical solution of the present invention:
For an analytical method for wind energy turbine set and electric iron reciprocal effect, it comprises the steps:
Step 1, according to electric railway load character, set up the mathematics mechanism model containing high ferro and general iron, according to typical double-fed wind power generator mathematical formulae, multiple stage blower fan is equivalent to a certain equivalent parameters
separate unit blower fan, set up windfarm system Equivalent Model as follows:
In formula:
,
,
be respectively the i-th Fans capacity, wind sweeping area and power coefficient in wind energy turbine set;
,
,
be respectively equivalent wind electric field blower capacity, wind sweeping area and power coefficient;
The equivalent parameters X ˊ of Wind turbines, introduces weight coefficient
,
Wind energy turbine set equivalence becomes a certain equivalent parameters of separate unit Wind turbines
according to formula
draw,
it is the i-th Fans equivalent parameters;
Step 2, the windfarm system Equivalent Model set up according to step 1, set up unbalanced source voltage that electrified railway traction load causes to running of wind generating set characteristic mathematical analysis model:
In formula
for positive sequence synchronous rotating angle matrix,
for electrical network instantaneous voltage
transform to the magnitude of voltage under dq synchronous rotating frame,
for two-phase static coordinate transformation matrix,
for DC bus-bar voltage,
for DC capacitor electric current, p is positive sequence component, and n is negative sequence component,
,
be respectively and transform to dq synchronous rotating frame d axle, q axle positive sequence voltage component;
,
be respectively and transform to dq synchronous rotating frame d axle, q axle negative sequence voltage components;
,
be respectively and transform to dq synchronous rotating frame d axle, q axle forward-order current component;
,
be respectively and transform to dq synchronous rotating frame d axle, q axle negative-sequence current component;
Step 3, the windfarm system Equivalent Model set up according to step 1, set up the mathematic simulated mode that Voltage Drop that electrified railway traction load causes affects Wind turbines, this model comprises with lower part:
The electromagnetic torque of generator and stator magnetic linkage analytical model:
Wherein,
for the number of pole-pairs of double feedback electric engine,
stator magnetic linkage,
for rotor q shaft current,
and
be respectively excitation and stator inductance
Generator unit stator active power of output, Reactive Power Analysis model:
Wherein,
for electromagnetic torque,
for stator voltage,
for stator electric rotating angular speed
Generator amature motion analysis model:
Wherein,
for machine torque,
represent rotor electric rotating angular speed;
Step 4, utilize electric locomotive model, the windfarm system Equivalent Model that integrating step 1 is set up, analyzing wind farm wind velocity change affects electrified railway traction load;
Step 5, the model utilizing step 1-3 to set up, analyze Wind turbines impact the Voltage Drop that running of wind generating set impact, electrified railway traction load cause the unbalanced source voltage that electrified railway traction load causes.
Windfarm system Equivalent Model described in step 1 also comprises: wind energy turbine set equivalent impedance parameter
，
,
,
,
wherein be respectively stator impedance, rotor impedance and excitation impedance,
,
,
be respectively the stator impedance of equivalent model, rotor impedance and excitation impedance,
,
,
be respectively the stator impedance of the i-th Fans, rotor impedance and excitation impedance,
for blower fan equiva lent impedance.
Analysis wind farm wind velocity change described in step 4 is on electrified railway traction load impact, and its analytical method content comprises: analyze wind energy turbine set and be subject to the impact that wind speed changes and electrified railway traction load normally runs; Analyze wind farm wind velocity and be subject to wind speed change and impact when normally running of output of wind electric field half, electrified railway traction load.
Beneficial effect of the present invention:
The present invention is adopted the analysis wind-powered electricity generation of quantitative and qualitative and electric railway to influence each other, by the interactional mechanism model of both foundation, can better extensive electrified railway traction load cause three-phase imbalance, Voltage Drop on double-fed blower fan rotor and converter impact, and the impact of blower fan power output change on electric iron power supply reliability, so that the coordinated development that better both replies are following, main innovate point of the present invention is as follows:
(1) from the general principle that dual feedback wind power generation system runs, equivalence has been carried out to Large Scale Wind Farm Integration, established the equivalent simulation mathematical model of windfarm system;
(2) establish the impact analysis model that unbalanced source voltage that electrified railway traction load causes exports double feedback electric engine, qualitative, quantitative have studied imbalance that electric iron causes to the influence degree of blower fan;
(3) when establishing machine end generation Voltage Drop, situation of change mathematical analysis model of double feedback electric engine each amount inner, have studied situation of change of each amount of the double feedback electric engine of double feedback electric engine when Voltage Drop;
(4) wind energy turbine set has been formulated as the impact analysis method of a fluctuation power supply to the electric railway traction load power quality in electrical network and power supply reliability;
The Voltage Drop of negative sequence component and generation that the present invention analyzes electrization railway draught load generation is on the operation characteristic of double-feedback aerogenerator group and the impact on output of wind electric field feature, next have studied wind farm wind velocity change and the impact of Power Output for Wind Power Field change on electrization railway draught load power supply performance, the imbalance of three-phase voltage and the Voltage Drop that solve the electrization railway draught load generation existed of being jointly incorporated into the power networks of prior art electric railway and wind energy turbine set may cause Wind turbines unstability, the problems such as the safe and stable operation having a strong impact on electrical network and the power supply reliability affecting electric railway.
accompanying drawing illustrates:
Fig. 1 is area power grid structure diagram;
Fig. 2 is direct voltage spectrogram;
Fig. 3 is AC voltage spectrum figure;
Fig. 4 is active power and the reactive power of Wind turbines output;
110kV bus three-phase fundamental voltage effective value (for A phase) figure when Fig. 5 is wind farm grid-connected;
Fig. 6 be wind energy turbine set not grid-connected time 110kV bus three-phase fundamental current effective value (for A phase) figure;
Fig. 7 is wind farm grid-connected and half 110kV bus three-phase fundamental voltage effective value (for the A phase) figure that exerts oneself;
Fig. 8 is not grid-connected and general 110kV bus three-phase fundamental voltage effective value (for the A phase) figure that exerts oneself of wind energy turbine set.
Embodiment
For an analytical method for wind energy turbine set and electric iron reciprocal effect, it comprises the steps:
Step 1, according to electric railway load operation characteristic, set up the mathematics mechanism model containing high ferro and general iron, according to the unit mathematical formulae of typical double-fed wind power generator, multiple stage blower fan is equivalent to a certain equivalent parameters
separate unit blower fan, set up windfarm system Equivalent Model as follows:
In formula:
,
,
be respectively the i-th Fans capacity, wind sweeping area and power coefficient in wind energy turbine set, n is blower fan total quantity.
The equivalent parameters of Wind turbines
, introduce weight coefficient
,
Wind energy turbine set equivalence becomes a certain equivalent parameters of separate unit Wind turbines
according to formula
draw;
,
,
be respectively equivalent wind electric field blower capacity, wind sweeping area and power coefficient
it is the i-th Fans equivalent parameters.
Windfarm system Equivalent Model described in step 1 also comprises: wind energy turbine set equivalent impedance parameter
，
,
,
,
wherein be respectively stator impedance, rotor impedance and excitation impedance,
,
,
be respectively the stator impedance of equivalent model, rotor impedance and excitation impedance;
for blower fan equiva lent impedance,
,
,
be respectively the stator impedance of the i-th Fans, rotor impedance and excitation impedance.
Step 2, the windfarm system Equivalent Model set up according to step 1, set up unbalanced source voltage that electrified railway traction load causes to running of wind generating set characteristic mathematical analysis model:
In formula
for positive sequence synchronous rotating angle matrix,
for electrical network instantaneous voltage
transform to the magnitude of voltage under dq synchronous rotating frame,
for two-phase static coordinate transformation matrix,
for DC bus-bar voltage,
for DC capacitor electric current, p is positive sequence component, and n is negative sequence component;
for d axle negative-sequence current component,
for q axle forward-order current component,
,
be respectively and transform to dq synchronous rotating frame d axle, q axle positive sequence voltage component;
,
be respectively and transform to dq synchronous rotating frame d axle, q axle negative sequence voltage components;
,
be respectively and transform to dq synchronous rotating frame d axle, q axle forward-order current component;
,
be respectively and transform to dq synchronous rotating frame d axle, q axle negative-sequence current component;
In described step 2, the unbalanced source voltage that electrified railway traction load causes also comprises running of wind generating set characteristic mathematical analysis model:
,
the disturbance being negative sequence voltage respectively to electromagnetic torque and reactive power.
To running of wind generating set characteristic mathematical analysis model, further refinement explanation is carried out to the unbalanced source voltage that electrified railway traction load causes below: because electric iron is not three-phase symmetrical load, no matter which kind of mode of connection traction transformer takes, all inject larger negative-sequence current by system, thus cause the imbalance of three-phase voltage of system.
When electricity iron runs in an asymmetrical fashion, can comprise negative sequence component in double-fed fan stator voltage, negative sequence component can produce very high slippage, makes the phenomenon of overvoltage and overcurrent more serious.Increasing sharply of rotor-side electric current can cause rotor-exciting current transformer DC voltage to raise, and the electric current of generator excitation current transformer, meritorious and reactive power all can produce vibration.If the power of Wind turbines is enough large relative to electrical network, the Wind turbines lacking unbalance voltage control ability will be had to off-the-line from electrical network.The degree of unbalance that grid side electricity iron causes will produce serious influence to wind energy turbine set.
Degree of unbalance can be expressed as:
（3）
In formula (3),
it is the positive sequence fundametal compoment root mean square value of three-phase voltage;
it is the negative phase-sequence fundametal compoment root mean square value of three-phase voltage;
it is the zero sequence fundametal compoment root mean square value of three-phase voltage.
Because residual voltage can be eliminated by transformer connection mode, so when analyzing unbalanced source voltage to the affecting of running of wind generating set, can only consider that a line voltage comprise positive sequence component and negative sequence component, not containing zero-sequence component.Line voltage can be expressed as follows:
（4）
In formula (4),
for line voltage,
with
for representing positive sequence fundametal compoment and the negative phase-sequence fundametal compoment of line voltage respectively, subscript p, n represent positive sequence amount and negative phase-sequence amount respectively, as follows.
By electrical network instantaneous voltage
transform in dq synchronous rotating frame and can obtain
（5）
In formula (5),
for two-phase static coordinate transformation matrix;
,
be respectively positive sequence, negative phase-sequence synchronous rotating angle matrix.
When electrical network contains negative sequence voltage, grid side frequency converter AC voltage
also containing negative sequence voltage components:
（6）
Now, the electric current of side frequency converter AC is netted
also containing positive sequence, negative sequence component:
（7）
If disregard loss, then there is the transmission power of net side frequency converter DC side and AC equal, namely
（8）
In formula (7),
for DC bus-bar voltage,
for DC capacitor electric current.
Formula (7) is converted, the electric current of the DC capacitor of net side frequency converter can be drawn:
（9）
Formula (9) is launched, and only considers DC side output current
in DC component, the DC component in known DC side electric current is
（10）
Secondary ripple wave component in DC side electric current is:
（11）
When only considering that line voltage contains negative phase-sequence fundamental voltage, will there is secondary ripple wave component in the DC side electric current of net side frequency converter.
In addition, above-mentioned analysis only considered the situation that line voltage contains negative phase-sequence fundamental voltage, does not consider that electric current that rotor-side frequency converter produces is on the impact of DC capacitor voltage.Rotor-side frequency converter is regarded as the load of DC capacitor, can obtain:
（12）
Load current in theory
for any current waveform, thus can think secondary ripple wave component that the net side frequency converter derived above produces with
irrelevant, only with
relevant.So the negative sequence voltage of electrical network can cause the DC bus netting side frequency converter to occur secondary ripple wave component.
The switch function of note a phase PWM is:
（13）
By the acting in conjunction of frequency converter DC voltage 2 ripples and positive sequence switching value, the harmonic voltage can netting side frequency converter AC is:
（14）
In formula (14),
for direct voltage 2 ripple amplitudes;
for the fundamental voltage amplitude of positive sequence switching value;
be 3 subharmonic voltage initial phase angles.
Can show that 2 ripple components of net side frequency converter DC side will cause net side frequency converter AC to produce 3 subharmonic voltages by formula (14).
By further calculating, can derive net frequency converter alternating current-direct current side, side reciprocal effect, cause DC voltage to produce even-times ripple, AC produces odd harmonics.
Step 3, the windfarm system Equivalent Model set up according to step 1, set up the mathematic simulated mode that Voltage Drop that electrified railway traction load causes affects Wind turbines, this model comprises with lower part:
The electromagnetic torque of generator and stator magnetic linkage analytical model:
Wherein,
for the number of pole-pairs of double feedback electric engine,
stator magnetic linkage,
for rotor q shaft current,
and
be respectively excitation and stator inductance
Generator unit stator active power of output, Reactive Power Analysis model:
Wherein,
for electromagnetic torque,
for stator voltage,
for stator electric rotating angular speed
Generator amature motion analysis model:
Wherein,
for machine torque,
represent rotor electric rotating angular speed;
On the mathematic simulated mode that Wind turbines affects, further refinement explanation is carried out to the Voltage Drop that electrified railway traction load causes below:
Electric railway due to operating mode more, be a kind of typical impact load, can grid voltage sags be caused.The stator terminal of double-fed wind power generator group is directly connected with electrical network, thus the electromagnetic transient that generator can be caused violent.
Research Voltage Drop is generally divided into 2 stages to the impact of double-fed blower fan: first stage is that double-fed blower fan is transitioned into the Voltage Drop stage from normal operating condition, and second stage is that double-fed blower fan is transitioned into the normal operating phase after voltage resume from Voltage Drop.
during Voltage Drop
Electrical network three-phase ground fault causes the rapid drawdown of double-fed fan stator terminal voltage, and set end voltage generation three-phase symmetrical falls.Set end voltage falls stator magnetic linkage can be caused to reduce, thus the electromagnetic torque of generator can reduce accordingly.
Electrical network three-phase ground fault causes the stator terminal voltage rapid drawdown of double feedback electric engine, set end voltage generation three-phase symmetrical, and stator magnetic linkage reaches stable state very soon, can think that stator field rotary speed is constant during this period, so have:
(15)
Because double feedback electric engine adopts stator voltage vector oriented vector control technology, as can be seen from formula (15), when stator field rotating speed
constant, stator magnetic linkage
with stator voltage
be directly proportional, when stator voltage to occur because of electric network fault Voltage Drop significantly reduce time, stator magnetic linkage is corresponding almost proportional minimizing also.
The electromagnetic torque of generator and the relation of stator magnetic linkage as follows,
(16)
Set end voltage falls, and can cause the minimizing that stator magnetic linkage is proportional, thus the electromagnetic torque of generator can reduce accordingly.
During Voltage Drop, can think that the change of wind speed is very slow for the change of the electromagnetic quantities of double feedback electric engine inside, therefore can think that wind speed is constant when analytical voltage falls period double feedback electric engine temporal variations process, namely the mechanical output that inputs to generator of wind energy conversion system is constant.When the machine torque of double feedback electric engine is constant, the double fed electric machine rotor equation of motion is as follows,
(17)
From formula (17), machine torque
constant and electromagnetic torque
minimizing can cause generator speed
rapid rising.By the contact of PI controlling unit, the increase of rotor speed can cause rotor q axle reference current
increase, and rotor q shaft current
also can with q axle reference current
increase and increase.Meanwhile, can find out according to formula (18), the electromagnetic torque of generator
can along with rotor q shaft current
increase and increase, electromagnetic torque
increase and prevent generator speed
further rising, thus make rotating speed
finally trend towards reference value
and reach stable.
Work as rotor speed
when reaching stable state during Voltage Drop, rotating speed can keep reference rotation velocity
constant, have,
(18)
Convolution (17), between the steady state period of Voltage Drop, the electromagnetic torque of generator should be equal with machine torque.When electromagnetic torque is constant, from formula (18), rotor d shaft current during stable state
should increase accordingly.Because generator amature q shaft current
control reactive power, and the output power factor of generator is constant, the reactive power namely exported remains unchanged, so fall period, rotor q shaft current from normally running to break down
should substantially remain unchanged.
Generator unit stator active power of output, reactive power are as follows,
(19)
Can draw from formula (19), when set end voltage falls, because electromagnetic torque
reduce, under the condition that stator field rotating speed is constant, the active power that generator unit stator side exports reduces; And due to set end voltage during Voltage Drop
significantly minimizing, generator unit stator side export reactive power also can reduce accordingly.
Because it is constant that line voltage maintains DC capacitor voltage, when set end voltage falls suddenly, the voltage of DC bus capacitor can reduce; Between Voltage Drop steady state period, DC side busbar voltage can be returned near reference value by the adjustment of PI controlling unit.
after voltage resume
Analysis generator from Voltage Drop step transition to fault clearance after normal operating phase method with analytical engine terminal voltage fall period method similar.After set end voltage recovers, the stator magnetic linkage of generator
can along with set end voltage
recovery and increase accordingly and size before returning to Voltage Drop, the electromagnetic torque of generator
also can increase along with the increase of stator magnetic linkage.As can be seen from the operation equation of generator amature, the increase of electromagnetic torque will cause the rotating speed of generator to reduce.Rotor speed
reduce, rotor d axle reference current
also can reduce,
change directly can have influence on the change of electromagnetic torque, thus make rotating speed
with electromagnetic torque to reference value
approach.
After temporal variations process after voltage resume, each amount of generator reaches a new steady-state value, the electromagnetic torque of generator again
size before getting back to Voltage Drop.Generator amature q axle reference current
controlled by PI controlling unit by the reactive power of generator, thus substantially remain unchanged.
The stator side active power of output of generator
along with the change of electromagnetic torque can first increase, then get back to stationary value; The reactive power that stator side exports
also return near stationary value after increasing along with the recovery of set end voltage.
Raise to some extent in the transient process that DC bus-bar voltage can be recovered because of set end voltage, can being adjusted near reference value by PI controlling unit when returning to stable state afterwards.
Step 4, utilize electric locomotive model, the windfarm system Equivalent Model that integrating step 1 is set up, analyzing wind farm wind velocity change affects electrified railway traction load.
Analysis wind farm wind velocity change described in step 4 is on electrified railway traction load impact, and its analytical method content comprises: analyze wind energy turbine set and be subject to the impact that wind speed changes and electrified railway traction load normally runs; Analyze wind farm wind velocity and be subject to wind speed change and impact when normally running of output of wind electric field half, electrified railway traction load.
When extraneous wind speed constantly changes, wind energy turbine set makes power output present fluctuation owing to being subject to wind speed disturbance, causes power flow changing in electrical network, causes the fluctuation of each node voltage.The fluctuation of line voltage directly can affect the running status of electric locomotive, locomotive electrical electronic device is caused frequently to be impacted, shorten its useful life, thus strengthen negative-sequence current and harmonic wave that electric locomotive injects electrical network, have influence on the power supply reliability of electric railway.
In order to study wind farm wind velocity change and the impact of change on electrified railway traction load power supply reliability of exerting oneself, the present invention goes from two aspects to analyze: one is that wind energy turbine set is subject to wind speed change and electrified railway traction load normally runs; Two is that wind farm wind velocity is subject to wind speed change and output of wind electric field half, electrified railway traction load normally run, and finally show that wind farm wind velocity change is on the result of electrified railway traction load impact.
Step 5, the model utilizing step 1-3 to set up, analyze Wind turbines impact the Voltage Drop that running of wind generating set impact, electrified railway traction load cause the unbalanced source voltage that electrified railway traction load causes.
Below by object lesson, the present invention is illustrated further: the present invention with somewhere, Hubei for example carries out simulation analysis, this area's wind-resources enriches, develop the nearly 300MW of wind-powered electricity generation, the double-fed wind power generator group of 183 1.5MW is formed, the port of export of all Wind turbines is connected on same bus rod, and the boosting through 0.69/35kV becomes access electrical network.110kV substation bus bar becomes through 121/35kV step-down the 35kV bus become with boosting and is connected.This area has two railway lines to pass within the border, there is the phenomenon that wind energy turbine set and traction station of electrical railroad access same points of common connection.Based on PSASP software, this area's electrified railway traction load is emulated the impact that wind energy turbine set is brought herein.This area is to electrified railway traction load electric energy quality monitoring value in table 1, and area power grid structural equivalents figure as shown in Figure 1.
(1) three-phase imbalance emulation
Arrange line voltage only containing positive sequence fundamental voltage and negative phase-sequence fundamental voltage, carry out harmonic analysis to direct voltage, its spectrogram as shown in Figure 2.
As seen from Figure 2, there is cyclic fluctuation in direct voltage, and the cycle is 0.01s.Can show that DC bus-bar voltage comprises the even harmonics such as 100Hz, 200Hz, 300Hz to the result of DC voltage FFT harmonic analysis, 100Hz harmonic wave is particularly evident, and amplitude reaches 1/6 of direct voltage amplitude substantially.The DC capacitor voltage that result of spectrum analysis demonstrates unbalanced source voltage situation off line side frequency converter produces even-times ripple component.
The frequency spectrum of the AC voltage (for A phase) of net side frequency converter is analyzed, and its result as shown in Figure 3.
From Fig. 3 AC voltage spectrum analysis result, can find out that A phase voltage comprises the odd harmonics voltages such as 150Hz, 250Hz, 350Hz, and 3 times, 5 subharmonic content are very large, the situation off line side frequency converter AC voltage that there is negative sequence voltage at line voltage of simulation results show theory deduction can produce the harmonic wave of odd-times.
(2) Voltage Drop emulation
Emulation arranges node 3 place Voltage Drop to 40%, duration 1s, the transient characterisitics of double-fed blower fan during simulation analysis double-fed fan stator terminal voltage generation Voltage Drop.
The outlet of separate unit 1.5MW double-fed blower fan is connected with electrical network through 0.69/35 boosting change, and 35kV bus also continues 1s at 8.5s Voltage Drop to 40%, and during 9.5s, Voltage Drop is eliminated, and busbar voltage returns to initial value.Emulation is arranged: simulation time 12s, simulation step length 50
.
Wind turbines active power of output and reactive power are as shown in Figure 4.
In Fig. 4, during Voltage Drop, the active power that Wind turbines exports obviously reduces, the positive correlation of meritorious minimizing fundamental sum Voltage Drop amplitude.The reactive power that Wind turbines exports is just very large in the instantaneous variation at Voltage Drop and recovery, special change is the moment at voltage resume, reactive power becomes-0.6MVar suddenly from 0.35MVar, but can return to about 0.4MVar rapidly after voltage resume.But during Voltage Drop, idle output maintains about 0.3MVar substantially, remains unchanged.
(3) wind energy turbine set is on the impact of electrified railway traction load
wind energy turbine set is subject to wind speed change and electrified railway traction load normally runs
Emulation arranges the change of wind farm wind velocity, and wind speed changes to 25m/s from 5m/s, and electrified railway traction load two-arm is effective current.Three-phase fundamental voltage and the current effective value simulation figure of electrified railway traction load high voltage bus are as follows.
110kV bus three-phase fundamental voltage effective value and 110kV bus three-phase fundamental current effective value when Fig. 5 and Fig. 6 is wind farm grid-connected respectively and when wind energy turbine set is not grid-connected.Contrast as can be seen from Fig. 5 and Fig. 6, after wind farm wind velocity changes to 25m/s from 5m/s, electrified railway traction load high-pressure side 110kV bus three-phase fundamental voltage and current effective value fluctuation aggravation, Voltage Drop amplitude increases, maximum phase current value becomes large, and the quality of power supply of grid-connected voltage is poorer.Its main cause is because the output-power fluctuation that acutely causes of wind farm wind velocity change strengthens, and electrization railway draught load power supply reliability is weakened.
wind farm wind velocity is subject to wind speed change and output of wind electric field half, electrified railway traction load when normally running
Emulation arranges the change of wind farm wind velocity, and wind speed changes to 25m/s from 5m/s, and output of wind electric field is 24MW, and electrified railway traction load two-arm is effective current.Three-phase fundamental voltage and the current effective value simulation figure of iron load high voltage bus are as follows.
Contrast is carried out as can be seen from Fig. 5 and Fig. 6, Fig. 7 and Fig. 8, do not change in wind farm wind velocity disturbance, but the nearly half of output of wind electric field, electrified railway traction load high-pressure side 110kV bus three-phase fundamental voltage effective value fluctuation strengthens, and Voltage Drop amplitude also reduces, the deviation but the quality of power supply of grid-connected voltage remains unchanged.Weaken although the minimizing of power output makes the grid-connected busbar voltage of electrified railway traction load fall, but the acute variation of wind farm wind velocity makes the change of Power Output for Wind Power Field, thus the grid-connected busbar voltage fluctuation of electrified railway traction load is strengthened, reduce power quality and the power supply reliability of electrization railway draught load equally.
Claims (3)
1., for an analytical method for wind energy turbine set and electric iron reciprocal effect, it comprises the steps:
Step 1, according to electric railway load character, set up the mathematics mechanism model containing high ferro and general iron, according to typical double-fed wind power generator mathematical formulae, multiple stage blower fan is equivalent to a certain equivalent parameters
separate unit blower fan, set up windfarm system Equivalent Model as follows:
In formula:
,
,
be respectively the i-th Fans capacity, wind sweeping area and power coefficient in wind energy turbine set;
,
,
be respectively equivalent wind electric field blower capacity, wind sweeping area and power coefficient;
The equivalent parameters X ˊ of Wind turbines, introduces weight coefficient
,
Wind energy turbine set equivalence becomes a certain equivalent parameters of separate unit Wind turbines
according to formula
draw,
it is the i-th Fans equivalent parameters;
Step 2, the windfarm system Equivalent Model set up according to step 1, set up unbalanced source voltage that electrified railway traction load causes to running of wind generating set characteristic mathematical analysis model:
In formula
for positive sequence synchronous rotating angle matrix,
for electrical network instantaneous voltage
transform to the magnitude of voltage under dq synchronous rotating frame,
for two-phase static coordinate transformation matrix,
for DC bus-bar voltage,
for DC capacitor electric current, p is positive sequence component, and n is negative sequence component,
,
be respectively and transform to dq synchronous rotating frame d axle, q axle positive sequence voltage component;
,
be respectively and transform to dq synchronous rotating frame d axle, q axle negative sequence voltage components;
,
be respectively and transform to dq synchronous rotating frame d axle, q axle forward-order current component;
,
be respectively and transform to dq synchronous rotating frame d axle, q axle negative-sequence current component;
Step 3, the windfarm system Equivalent Model set up according to step 1, set up the mathematic simulated mode that Voltage Drop that electrified railway traction load causes affects Wind turbines, this model comprises with lower part:
The electromagnetic torque of generator and stator magnetic linkage analytical model:
Wherein,
for the number of pole-pairs of double feedback electric engine,
stator magnetic linkage,
for rotor q shaft current,
and
be respectively excitation and stator inductance
Generator unit stator active power of output, Reactive Power Analysis model:
Wherein,
for electromagnetic torque,
for stator voltage,
for stator electric rotating angular speed
Generator amature motion analysis model:
Wherein,
for machine torque,
represent rotor electric rotating angular speed;
Step 4, utilize electric locomotive model, the windfarm system Equivalent Model that integrating step 1 is set up, analyzing wind farm wind velocity change affects electrified railway traction load;
Step 5, the model utilizing step 1-3 to set up, analyze Wind turbines impact the Voltage Drop that running of wind generating set impact, electrified railway traction load cause the unbalanced source voltage that electrified railway traction load causes.
2. a kind of analytical method for wind energy turbine set and electric iron reciprocal effect according to claim 1, is characterized in that: the windfarm system Equivalent Model described in step 1 also comprises: wind energy turbine set equivalent impedance parameter
，
,
,
,
wherein be respectively stator impedance, rotor impedance and excitation impedance,
,
,
be respectively the stator impedance of equivalent model, rotor impedance and excitation impedance,
,
,
be respectively the stator impedance of the i-th Fans, rotor impedance and excitation impedance,
for blower fan equiva lent impedance.
3. a kind of analytical method for wind energy turbine set and electric iron reciprocal effect according to claim 1, it is characterized in that: the analysis wind farm wind velocity change described in step 4 is on electrified railway traction load impact, and its analytical method content comprises: analyze wind energy turbine set and be subject to the impact that wind speed changes and electrified railway traction load normally runs; Analyze wind farm wind velocity and be subject to wind speed change and impact when normally running of output of wind electric field half, electrified railway traction load.
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| CN106651168B (en) * | 2016-12-16 | 2021-02-02 | 华北电力科学研究院有限责任公司 | Method and device for evaluating influence of electric iron on power grid |
| CN107527129B (en) * | 2017-06-20 | 2023-07-18 | 国网浙江省电力公司温州供电公司 | Power grid risk analysis method containing electric iron load |
| CN108011364B (en) * | 2017-11-28 | 2019-02-22 | 郑州轻工业学院 | A method of analysis DFIG kinetic characteristics and Electrical Power System Dynamic reciprocal effect |
| CN110299713B (en) * | 2019-06-25 | 2022-04-29 | 西南交通大学 | Three-phase voltage unbalance compensation method for traction power supply system considering wind power plant influence |
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