CN107147142A - It is a kind of count and probabilistic distributed power source as harmonic source modeling method - Google Patents

It is a kind of count and probabilistic distributed power source as harmonic source modeling method Download PDF

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CN107147142A
CN107147142A CN201710333764.6A CN201710333764A CN107147142A CN 107147142 A CN107147142 A CN 107147142A CN 201710333764 A CN201710333764 A CN 201710333764A CN 107147142 A CN107147142 A CN 107147142A
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王守相
刘响
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Tianjin University
State Grid Tianjin Electric Power Co Ltd
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State Grid Tianjin Electric Power Co Ltd
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    • GPHYSICS
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    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
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    • Y04SSYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
    • Y04S10/00Systems supporting electrical power generation, transmission or distribution
    • Y04S10/50Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications

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Abstract

Counted and probabilistic distributed power source is as the modeling method of harmonic source, including three parts the present invention relates to a kind of:Part I, photovoltaic generating system exert oneself uncertainty models foundation;Part II, wind generator system exert oneself uncertainty models foundation;Part III, meter and probabilistic harmonic source constant current source model are set up:The modeling pattern exerted oneself according to the photovoltaic generating system in Part I and Part II and wind turbine power generation Force system uncertainty, by photovoltaic, the grid-connected node of blower fan node injecting power unified representation into Uncertainty form;Calculated through three-phase fundamental load flow affine arithmetic, try to achieve each node voltage value, and then ask for the current value of nonlinear-load node;According to the harmonious wave source typical frequency spectrum of fundamental current value, the amplitude and phase angle of individual harmonic current are asked for, so as to obtain the constant-current source uncertainty models of harmonic source.

Description

It is a kind of count and probabilistic distributed power source as harmonic source modeling method
Technical field
The present invention relates to the distributed power source in power system as Harmonic Source Modeling field, more particularly to consider uncertain The distributed power source of sexual factor as harmonic source modeling.
Technical background
Distributed power generation refers to, in user terminal or the compact electrical generating systems close to electricity consumption situ configuration, with small investment, account for Ground is small, the construction period is short, environmental protection the advantages of.Sent out more than distributed power source using regenerative resources such as wind energy, solar energy Electricity, these regenerative resources are easily influenceed by uncertain factors such as weather, thus distributed power source power output have with Machine and fluctuation;The active output of distributed power source and the harmonic content of grid-connected current are closely connected, and node power is not Certainty can be affected greatly to the harmonic wave that harmonic source is produced, and make it have randomness and fluctuation feature.Traditional distribution As harmonic source, Qualitative Modeling Method fails to take into account these uncertain factors formula power supply really, it is impossible to which fully reflection is real Border situation.
The content of the invention
The present invention is directed to distributed power source in power system as the uncertain feature of harmonic source, and there is provided a kind of modeling side Method.Technical scheme is as follows:
It is a kind of to count and probabilistic distributed power source is as the modeling method of harmonic source, including three parts:
Part I, photovoltaic generating system exert oneself uncertainty models foundation
(1) infield is lied prostrate for a certain specific light, the exoatmosphere illumination of the following 24 hours photovoltaic installation places of prediction is strong Spend, obtain the exoatmosphere intensity of illumination situation of change of 24 hours;
(2) the intensity of illumination variation zone for obtaining one day according to following weather forecasts in 24 hours and exoatmosphere illumination by force Between, it is expressed as with interval numberP in formula (G T)、The respectively bound of intensity of illumination;
(3) constant interval that photovoltaic generating system is exerted oneself, photovoltaic array power output are calculated by photovoltaic power output function Calculating function is PPV=η APVGT[1-0.005(Ta+CGT- 25)],
In formula, η is the photoelectric transformation efficiency of photovoltaic array, %;
APVFor photovoltaic array area, m2
GTFor intensity of illumination, kW/m2
TaFor environment temperature, DEG C;
C is a coefficient, and usual value is 0.03;
(4) by the conversion between interval number and affine number, photovoltaic constant interval of exerting oneself is changed into affine form
ε in formulaPVThe noise meta-tag introduced for transfer process.
Part II, wind generator system exert oneself uncertainty models foundation:
(1) following 24 hours air speed data is predicted, following 24 hours wind speed delta data is obtained;
(2) mean wind speed in this time interval is calculated at a time interval;
(3) air speed data and the air speed data less than mean wind speed more than mean wind speed in each time interval are counted, Its average value is respectively obtained, in this, as the upper bound of mean wind speed in each time intervalAnd lower boundV T, obtain each time The constant interval of mean wind speed, is expressed as with interval number in interval
(4) by wind speed-power function of blower fan, the constant interval that blower fan is exerted oneself in each time interval is obtainedRelation between wind turbine power generation power and wind speed is PW=0.5 ρ AV3CP,
ρ is atmospheric density, kg/m in formula3
A is the radius of blower fan rotating wind wheel, m;
V is wind speed, m/s;
CPFor the power coefficient of wind energy conversion system;
(5) by the conversion between interval number and affine number, blower fan constant interval of exerting oneself is changed into affine form
ε in formulaWTGThe noise meta-tag introduced for transfer process.
Part III, meter and probabilistic harmonic source constant current source model are set up:
(1) exerted oneself according to the photovoltaic generating system in Part I and Part II and wind turbine power generation Force system uncertaintyWithModeling pattern, can by photovoltaic, the grid-connected node of blower fan node injecting power unified representation into Uncertainty Form:
In formulaFor node j the i-th phase load values, i=a, b, c;
For the rated power of the phases of node j i-th;
For the noise member of the phases of node j i-th;
For noise member coefficient;
(2) calculated through three-phase fundamental load flow affine arithmetic, try to achieve each node voltage valueAnd then ask for nonlinear-load section The current value of point:
In formulaFor the injected value of current of the phases of node j i-th;
For the magnitude of voltage of the phases of node j i-th;
(3) according to the harmonious wave source typical frequency spectrum of fundamental current value, the amplitude and phase angle of individual harmonic current are asked for, so that To the constant-current source uncertainty models of harmonic source:
I in formula1-spectrumFor fundamental current amplitude;
Ih-spectrumFor h subharmonic current amplitudes;
For the fundamental current angle values of the phases of node j i-th;
θ1-spectrumFor fundamental wave angle values;
θh-spectrumFor h subharmonic angle values;
For the angle values of node j the i-th phase h subharmonic currents;
| | ask for computing for multiple affine digital-to-analogue value.
The present invention is for uncertain feature of the distributed power source in power system as harmonic source, using interval and affine With reference to unascertained mathematical theory, set up the model of distributed power source and harmonic source, taken into full account actual conditions.
Brief description of the drawings
Fig. 1 intensities of illumination are interval
Fig. 2 wind speed intervals
Embodiment
1st, by taking CNPV-230M photovoltaic generating systems as an example, its uncertainty models of exerting oneself is set up:
(1) infield is lied prostrate for a certain specific light, photovoltaic intensity, such as Fig. 1 in one day is obtained according to weather prognosis data It is shown;
(2) with the morning 11:Meteorological data when 00 is research object, and now intensity of illumination constant interval is [252,308] kW/m2
(3) constant interval that photovoltaic generating system is exerted oneself, P are calculated by photovoltaic power output functionPV=η APVGT[1-0.005 (Ta+CGT- 25)], η is the photoelectric transformation efficiency value 16% of photovoltaic array, A in formulaPVFor photovoltaic array area value 100m2, GTFor intensity of illumination value [252,308] kW/m2, TaFor 35 DEG C of environment temperature value, C values are 0.03, and calculating obtains photovoltaic battle array It is [3644,4496] kW to list power interval;
(4) by the conversion between interval number and affine number, photovoltaic constant interval of exerting oneself is changed into affine formε in formulaPVFor noise meta-tag.
2nd, its uncertainty models is set up by taking aerofoil profile NACA0018 blower fans as an example:
(1) following 24 hours air speed data is predicted, following 24 hours wind speed delta data is obtained;
(2) mean wind speed in this time interval is calculated at a time interval;
(3) air speed data and the air speed data less than mean wind speed more than mean wind speed in each time interval are counted, Its average value is respectively obtained, in this, as the upper bound of mean wind speed in each time intervalAnd lower boundV T, as shown in Fig. 2 with The morning 11:Meteorological data when 00 is research object, and now wind speed is [11.0010,11.5667] m/s;
(4) by wind speed-power function P of blower fanm=0.5 ρ AV3CP, ρ is that atmospheric density value is 1.29kg/m in formula3, A It is 7.3m for the radius value of blower fan rotating wind wheel, V is wind speed value [11.0010,11.5667] m/s, CPFor the wind of wind energy conversion system Energy usage factor value is 0.265, can obtain blower fan and exert oneself constant interval for [1661,1931];
(5) by the conversion between interval number and affine number, blower fan constant interval of exerting oneself is changed into affine formε in formulaWTGFor noise meta-tag.
3rd, meter and probabilistic harmonic source constant current source model are set up:
(1) by node powerWithForm of the unified representation into Uncertainty:
(2) calculated through three-phase fundamental load flow affine arithmetic, try to achieve each node voltage valueAnd then ask for nonlinear-load section The current value of point:
(3) according to the harmonious wave source typical frequency spectrum of fundamental current value, the amplitude and phase angle of individual harmonic current are asked for, so that To the constant-current source uncertainty models of harmonic source:
Modeling result shows, the modeling side of this meter and probabilistic distributed power source and harmonic source proposed by the present invention Method distributed power source can be exerted oneself harmonic ource electric current is expressed as uncertain form, more accurate compared to Decided modelling, Include more information.It is emphasized that embodiment of the present invention is illustrative, rather than it is limited, therefore this Invention includes being not limited to the embodiment described in embodiment, every by skill of the those skilled in the art according to the present invention The other embodiment that art scheme is drawn, also belongs to the scope of protection of the invention.

Claims (1)

  1. Counted and probabilistic distributed power source is as the modeling method of harmonic source, including three parts 1. a kind of:
    Part I, photovoltaic generating system exert oneself uncertainty models foundation
    (1) infield is lied prostrate for a certain specific light, the exoatmosphere intensity of illumination of the following 24 hours photovoltaic installation places of prediction is obtained To the exoatmosphere intensity of illumination situation of change of 24 hours;
    (2) the intensity of illumination constant interval for obtaining one day according to following weather forecasts in 24 hours and exoatmosphere illumination by force, is used Interval number is expressed asP in formula (G T)、The respectively bound of intensity of illumination;
    (3) constant interval that photovoltaic generating system is exerted oneself is calculated by photovoltaic power output function, photovoltaic array power output is calculated Function is PPV=η APVGT[1-0.005(Ta+CGT- 25)],
    In formula, η is the photoelectric transformation efficiency of photovoltaic array, %;
    APVFor photovoltaic array area, m2
    GTFor intensity of illumination, kW/m2
    TaFor environment temperature, DEG C;
    C is a coefficient, and usual value is 0.03;
    (4) by the conversion between interval number and affine number, photovoltaic constant interval of exerting oneself is changed into affine form
    <mrow> <mover> <msub> <mi>P</mi> <mrow> <mi>P</mi> <mi>V</mi> </mrow> </msub> <mo>^</mo> </mover> <mo>=</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>&amp;CenterDot;</mo> <mrow> <mo>(</mo> <mi>P</mi> <mo>(</mo> <msub> <munder> <mi>G</mi> <mo>&amp;OverBar;</mo> </munder> <mi>T</mi> </msub> <mo>)</mo> <mo>+</mo> <mi>P</mi> <mo>(</mo> <msub> <mover> <mi>G</mi> <mo>&amp;OverBar;</mo> </mover> <mi>T</mi> </msub> <mo>)</mo> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>&amp;CenterDot;</mo> <mrow> <mo>(</mo> <mi>P</mi> <mo>(</mo> <msub> <mover> <mi>G</mi> <mo>&amp;OverBar;</mo> </mover> <mi>T</mi> </msub> <mo>)</mo> <mo>-</mo> <mi>P</mi> <mo>(</mo> <msub> <munder> <mi>G</mi> <mo>&amp;OverBar;</mo> </munder> <mi>T</mi> </msub> <mo>)</mo> <mo>)</mo> </mrow> <mo>&amp;CenterDot;</mo> <msub> <mi>&amp;epsiv;</mi> <mrow> <mi>P</mi> <mi>V</mi> </mrow> </msub> <mo>,</mo> </mrow>
    ε in formulaPVThe noise meta-tag introduced for transfer process;
    Part II, wind generator system exert oneself uncertainty models foundation:
    (1) following 24 hours air speed data is predicted, following 24 hours wind speed delta data is obtained;
    (2) mean wind speed in this time interval is calculated at a time interval;
    (3) air speed data and the air speed data less than mean wind speed more than mean wind speed in each time interval are counted, respectively Its average value is obtained, in this, as the upper bound of mean wind speed in each time intervalAnd lower boundV T, obtain each time interval The constant interval of interior mean wind speed, is expressed as with interval number
    (4) by wind speed-power function of blower fan, the constant interval that blower fan is exerted oneself in each time interval is obtainedRelation between wind turbine power generation power and wind speed is PW=0.5 ρ AV3CP,
    ρ is atmospheric density, kg/m in formula3
    A is the radius of blower fan rotating wind wheel, m;
    V is wind speed, m/s;
    CPFor the power coefficient of wind energy conversion system;
    (5) by the conversion between interval number and affine number, blower fan constant interval of exerting oneself is changed into affine form
    <mrow> <msub> <mover> <mi>P</mi> <mo>^</mo> </mover> <mi>W</mi> </msub> <mo>=</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>&amp;CenterDot;</mo> <mrow> <mo>(</mo> <mi>P</mi> <mo>(</mo> <msub> <munder> <mi>V</mi> <mo>&amp;OverBar;</mo> </munder> <mi>T</mi> </msub> <mo>)</mo> <mo>+</mo> <mi>P</mi> <mo>(</mo> <msub> <mover> <mi>V</mi> <mo>&amp;OverBar;</mo> </mover> <mi>T</mi> </msub> <mo>)</mo> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>&amp;CenterDot;</mo> <mrow> <mo>(</mo> <mi>P</mi> <mo>(</mo> <msub> <mover> <mi>V</mi> <mo>&amp;OverBar;</mo> </mover> <mi>T</mi> </msub> <mo>)</mo> <mo>-</mo> <mi>P</mi> <mo>(</mo> <msub> <munder> <mi>V</mi> <mo>&amp;OverBar;</mo> </munder> <mi>T</mi> </msub> <mo>)</mo> <mo>)</mo> </mrow> <mo>&amp;CenterDot;</mo> <msub> <mi>&amp;epsiv;</mi> <mrow> <mi>W</mi> <mi>T</mi> <mi>G</mi> </mrow> </msub> <mo>,</mo> </mrow>
    ε in formulaWTGThe noise meta-tag introduced for transfer process;
    Part III, meter and probabilistic harmonic source constant current source model are set up:
    (1) exerted oneself according to the photovoltaic generating system in Part I and Part II and wind turbine power generation Force system uncertaintyWithModeling pattern, can by photovoltaic, the grid-connected node of blower fan node injecting power unified representation into Uncertainty form:
    <mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msubsup> <mover> <mi>S</mi> <mo>^</mo> </mover> <mi>j</mi> <mi>a</mi> </msubsup> </mtd> </mtr> <mtr> <mtd> <msubsup> <mover> <mi>S</mi> <mo>^</mo> </mover> <mi>j</mi> <mi>b</mi> </msubsup> </mtd> </mtr> <mtr> <mtd> <msubsup> <mover> <mi>S</mi> <mo>^</mo> </mover> <mi>j</mi> <mi>c</mi> </msubsup> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msubsup> <mi>S</mi> <mrow> <mn>0</mn> <mi>j</mi> </mrow> <mi>a</mi> </msubsup> </mtd> </mtr> <mtr> <mtd> <msubsup> <mi>S</mi> <mrow> <mn>0</mn> <mi>j</mi> </mrow> <mi>a</mi> </msubsup> </mtd> </mtr> <mtr> <mtd> <msubsup> <mi>S</mi> <mrow> <mn>0</mn> <mi>j</mi> </mrow> <mi>a</mi> </msubsup> </mtd> </mtr> </mtable> </mfenced> <mo>+</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msubsup> <mi>S</mi> <mi>j</mi> <mi>a</mi> </msubsup> <msubsup> <mi>&amp;epsiv;</mi> <mi>j</mi> <mi>a</mi> </msubsup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msubsup> <mi>S</mi> <mi>j</mi> <mi>c</mi> </msubsup> <msubsup> <mi>&amp;epsiv;</mi> <mi>j</mi> <mi>b</mi> </msubsup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msubsup> <mi>S</mi> <mi>j</mi> <mi>c</mi> </msubsup> <msubsup> <mi>&amp;epsiv;</mi> <mi>j</mi> <mi>c</mi> </msubsup> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>,</mo> </mrow>
    In formulaFor node j the i-th phase load values, i=a, b, c;
    For the rated power of the phases of node j i-th;
    For the noise member of the phases of node j i-th;
    For noise member coefficient;
    (2) calculated through three-phase fundamental load flow affine arithmetic, try to achieve each node voltage valueAnd then ask for nonlinear-load node Current value:
    In formulaFor the injected value of current of the phases of node j i-th;
    For the magnitude of voltage of the phases of node j i-th;
    (3) according to the harmonious wave source typical frequency spectrum of fundamental current value, the amplitude and phase angle of individual harmonic current are asked for, so as to obtain humorous The constant-current source uncertainty models of wave source:
    <mrow> <msubsup> <mover> <mi>&amp;theta;</mi> <mo>^</mo> </mover> <mi>j</mi> <mrow> <mrow> <mo>(</mo> <mi>h</mi> <mo>)</mo> </mrow> <mo>,</mo> <mi>i</mi> </mrow> </msubsup> <mo>=</mo> <msub> <mi>&amp;theta;</mi> <mrow> <mi>h</mi> <mo>-</mo> <mi>s</mi> <mi>p</mi> <mi>e</mi> <mi>c</mi> <mi>t</mi> <mi>r</mi> <mi>u</mi> <mi>m</mi> </mrow> </msub> <mo>+</mo> <mi>h</mi> <mrow> <mo>(</mo> <mrow> <msubsup> <mover> <mi>&amp;theta;</mi> <mo>^</mo> </mover> <mi>j</mi> <mi>i</mi> </msubsup> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <mrow> <mn>1</mn> <mo>-</mo> <mi>s</mi> <mi>p</mi> <mi>e</mi> <mi>c</mi> <mi>t</mi> <mi>r</mi> <mi>u</mi> <mi>m</mi> </mrow> </msub> </mrow> <mo>)</mo> </mrow> <mo>,</mo> </mrow>
    I in formula1-spectrumFor fundamental current amplitude;
    Ih-spectrumFor h subharmonic current amplitudes;
    For the fundamental current angle values of the phases of node j i-th;
    θ1-spectrumFor fundamental wave angle values;
    θh-spectrumFor h subharmonic angle values;
    For the angle values of node j the i-th phase h subharmonic currents;
    | | ask for computing for multiple affine digital-to-analogue value.
CN201710333764.6A 2017-05-12 2017-05-12 It is a kind of count and probabilistic distributed power source as harmonic source modeling method Pending CN107147142A (en)

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Cited By (6)

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