CN101592538B - Method for computing steady-state output power of wind power station based on actual measured data - Google Patents

Abstract

The invention discloses a method for computing steady-state output power of a wind power station based on actual measured data, which is characterized by comprising the following steps: data acquisition, namely acquiring wind speed Vout at the outer end of the windward direction of the wind power station, output power Pi of each wind machine and actual measured wind direction angle alpha of the wind power station; data processing, namely dividing the data of different wind directions of the actual measured wind direction angle alpha of the wind power station respectively to acquire 36 databases according to alpha=10-360 degrees, and then establishing a data table for different wind directions respectively to acquire the wind power utilization factors of the wind power station; simulation computation, namely inputting simulation input quantity, selecting the database according to the actual measured wind direction angle alpha of the wind power station, and solving CP' and CPi corresponding to the Vout according to a CP'-Vwout curve and a CPi-Vwout curve to acquire the total output power of the wind power station; and error analysis, namely adopting a mean absolute percentage error evaluation criterion to carry out error computation for the steady-state output power of the wind power station computed by the method and the actual measured power through error evaluation criterion to provide the precision of the computation method. The method has the advantages of simple computation, high computation speed, higher precision and the like, and can meet on-line use requirement.

Description

A kind of computing method based on measured data wind energy turbine set steady-state output power

Technical field

The present invention relates to the calculating field of wind energy turbine set steady-state output power, a kind of computing method based on measured data wind energy turbine set steady-state output power have been proposed, this method is by analyzing data such as actual measurement wind speed, wind direction and each wind energy conversion system output powers, obtain the wind energy turbine set equivalence power coefficient under the different wind speed and directions, simulate wind energy turbine set steady-state output power under the different wind speed and directions by the wind energy turbine set equivalence power coefficient that obtains.

Background technology

Along with the continuous expansion of the developing rapidly of current wind-powered electricity generation, wind-powered electricity generation installed capacity, wind farm grid-connected influence to electric system is very important.And because the fluctuation problem of the Power Output for Wind Power Field that fluctuations in wind speed is brought becomes the important problem in this area, therefore high-precision simulation Power Output for Wind Power Field is to analyze the basis of this problem.

The large-scale wind electricity field belongs to multi-computer system, there are differences with research to one-of-a-kind system, must consider because landform and wind-powered electricity generation unit are arranged the uneven characteristic of bringing of wind speed.Be the wind speed difference that every typhoon group of motors is accepted, the power of output is also different.So for calculating Power Output for Wind Power Field, main difficult point is to consider the wind speed profile (wind speed of each wind energy conversion system acceptance is unequal) of wind energy turbine set, and this is all overdetermined by the layout situation of each wind-powered electricity generation unit of wind energy turbine set, wind direction, wind speed etc.

The research method of traditional wind energy turbine set Equivalent Model is normally calculated earlier the output power of certain typhoon group of motors under the actual measurement wind speed, again with doubly (N is at the operation wind-powered electricity generation machine number of organizing a performance in the wind energy turbine set) output of coming equivalently represented whole wind electric field of the N of this power.This method has been ignored wind farm wind velocity characteristic pockety obviously, though therefore above-mentioned classic method is simple, and low precision.

The research method of wind energy turbine set Equivalent Model mostly is confined to the research of wind energy turbine set inside wind energy conversion system layout to the influence of wind speed profile at present, analyzes the overall permanence of wind energy turbine set by the distribution of calculating the inner wind speed of wind energy turbine set.And the distribution of the inner wind speed of wind energy turbine set is not allow facile amount, and the wake effect of analyzing wind energy turbine set inside obtains the distribution of wind speed, the computing method complexity, and calculated amount is big, can't simulate the power out-put characteristic of actual wind energy turbine set.

Summary of the invention

The objective of the invention is, provide that a kind of computing method are simple based on the analysis to measured data, computing velocity is fast, and precision is higher, can satisfy the computing method based on measured data wind energy turbine set steady-state output power of online request for utilization.

The objective of the invention is to be realized by following technical scheme: a kind of computing method based on measured data wind energy turbine set steady-state output power is characterized in that it may further comprise the steps:

(1) data acquisition

Gather the wind energy turbine set direction outer end wind speed V that facings the wind _Out, each wind energy conversion system output power P _i(i=1 ..., n), wind energy turbine set actual measurement wind angle α, the wind energy turbine set direction outer end wind speed V that facings the wind _OutThe data acquisition scope must in the wind energy conversion system range of operation, promptly cut between wind speed and the cut-out wind speed, generally get 3m/s～21m/s, step-length is got 0.1m/s; Each wind energy conversion system output power P _iData must cover each wind energy conversion system, i.e. i=1 ..., n, n are wind energy turbine set wind-powered electricity generation unit number; The nuance of wind direction is very little for the influence of system's output power, so the interval of wind direction angle is designed to 10 °, so the span of wind angle α is 10 °～360 °, altogether 36 values;

(2) data processing

By the data that data acquisition step (1) is gathered, respectively the data of the different wind directions of wind energy turbine set actual measurement wind angle α are divided, obtain 36 databases by α=10 °～360 °; Respectively different wind directions are set up tables of data again, α is α when wind energy turbine set actual measurement wind direction _iThe time obtain different V _OutThe pairing P of value _i, C _Pi, P _∑And C ' _PValue, wherein:

P _iActual measurement output power for wind energy turbine set i typhoon group of motors;

ρ _Air: atmospheric density;

A _i: i platform machine wind sweeping area in the wind energy turbine set;

A _∑: each wind energy conversion system wind sweeping area sum $A_{\mathrm{\Σ}}=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{A}_i;$

V _Out: the wind energy turbine set direction outer end wind speed that facings the wind;

P _∑: the gross output when wind energy turbine set wind-powered electricity generation unit all moves, utilize formula $P_{\mathrm{\Σ}}=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{P}_i$ Calculate;

C _PiFor i platform wind energy conversion system in the wind energy turbine set for the facing the wind wind power efficiency of direction outer end wind speed of wind energy turbine set, pass through formula $C_{\mathrm{Pi}}=\frac{{2P}_i}{{\mathrm{\ρ}}_{\mathrm{air}}{A}_i{V}_{\mathrm{out}}}$ Calculate;

C ' _P: wind energy turbine set wind power efficiency, pass through computing formula $C_P^{\′}=\frac{2P_{\mathrm{\Σ}}}{{\mathrm{\ρ}}_{\mathrm{air}}{A}_{\mathrm{\Σ}}{V}_{\mathrm{out}}}$ Calculate;

Obtain different V _OutBe worth pairing P _i, C _Pi, P _∑And C ' _PValue,

For different V _OutBe worth pairing C ' _PValue, the drafting horizontal ordinate is V _Out, ordinate is C ' _PScatter diagram, the order $\mathrm{\ΔV}=\frac{\{\max \left(V_{\mathrm{out}}\right)-\min \left(V_{\mathrm{out}}\right)\}}{n},$ Starting point is a horizontal ordinate minimum windspeed point in the scatter diagram, and terminating point is a horizontal ordinate maximum wind velocity point in the scatter diagram, and this scope is divided into the n equal portions, is spaced apart Δ V, asks for a point for each equal portions, is V for i equal portions horizontal ordinate scope _iTo V _i+ Δ V, getting horizontal ordinate is V _i+ ¹/ ₂Δ V, ordinate are the mean value of all some ordinates in this scope, have obtained n point, utilize cubic spline interpolation, obtain C ' _P-V _OutCurve, C _Pi-V _OutCurve, thus the C ' of different wind directions obtained _P-V _OutCurve and C _Pi-V _OutCurve;

(3) simulation calculation

Input emulation input quantity: wind energy turbine set actual measurement wind angle α, the wind energy turbine set direction outer end wind speed V that facings the wind _Out, each wind energy conversion system wind sweeping area A in the wind energy turbine set _i(i=1 ..., n), atmospheric density ρ _Air, shut down aerogenerator numbering m ₁, m ₂M _t, 1≤m≤n and 1≤t≤n wherein; According to wind energy turbine set actual measurement wind angle α selected data storehouse, according to C ' _P-V _WoutCurve and C _Pi-V _WoutCurve is obtained V _OutCorresponding C ' _PAnd C _Pi(i=m wherein ₁, m ₂M _t) then, the wind energy turbine set steady-state output power is:

$P_{\mathrm{out}}=P_{\mathrm{\&Sigma;}}-\mathrm{\&Sigma;}{P}_i=\frac{1}{2}{C}_P^{\&prime;}{\mathrm{\&rho;}}_{\mathrm{air}}{A}_{\mathrm{\&Sigma;}}{V}_{\mathrm{out}}^3-\frac{1}{2}\underset{i={\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="H2009100671594E00011.png,H2009100671594E00021.png"\; state="\{\{state\}\}">m</figure-callout>}}_1,{\mathrm{<figure-callout\; id="2"\; label="m"\; filenames="H2009100671594E00012.png,H2009100671594E00022.png"\; state="\{\{state\}\}">m</figure-callout>}}_2...,m_t}{\mathrm{\&Sigma;}}{C}_{\mathrm{Pi}}{\mathrm{\&rho;}}_{\mathrm{air}}{V}_{\mathrm{out}}^3$

Wherein, i=m ₁, m ₂M _t

(4) error analysis

That the error assessment standard adopts is traditional mean absolute percentage error Mean AbsolutePercentage Error, MAPE, establishing Va is actual value, and Vf is a predicted value, so percentage error (Percentage Error PE) is defined as:

PE＝(V _f-V _a)/V _a×100％

The absolute percent error (Absolute Percentage Error APE) is defined as:

APE＝|PE|

Mean absolute percentage error is defined as:

$\mathrm{MAPE}=\frac{1}{N}\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}{\mathrm{APE}}_i$

Maximum absolute percent error is defined as:

${\mathrm{APE}}_{\max }=\underset{i=1}{\overset{n}{\max }}\left({\mathrm{APE}}_i\right)$

The actual measurement wind energy turbine set that the provides wind energy turbine set record direction outer end wind speed V that facings the wind _Out, wind angle α, atmospheric density ρ _Air, each wind-powered electricity generation compressor emergency shutdown situation is as input in the wind energy turbine set, wind energy turbine set steady-state output power and measured power that this method is calculated carry out Error Calculation by above-mentioned error assessment standard, provide the degree of accuracy of these computing method.

Description of drawings

Fig. 1 is that the position concerns synoptic diagram between each wind-powered electricity generation unit of wind energy turbine set.

Fig. 2 is a wind-powered electricity generation machine kludge position wind speed profile synoptic diagram.

Fig. 3 is a scatter diagram disposal route key drawing.

Fig. 4 is wind energy turbine set P _∑-V _OutThe scatter diagram of the corresponding outer end of the gross output when wind energy turbine set wind-powered electricity generation unit all moves wind speed and the contrast synoptic diagram of matched curve.

Fig. 5 is wind energy turbine set C ' _p-V _OutThe scatter diagram of the corresponding outer end of wind energy turbine set equivalence power coefficient wind speed and the contrast synoptic diagram of matched curve.

Fig. 6 is the comparison diagram of Taonan Power Output for Wind Power Field curve and the Taonan Power Output for Wind Power Field curve of actual measurement of the method simulation of this invention, and mark A curve is the simulation output power among the figure, and the B curve is for surveying output power.Wherein ordinate is an output power value.The horizontal ordinate express time, wherein each scale is represented 2400 seconds (for example 600～700 is a scale, represents 2400 seconds).This figure has intercepted the curve of 600～1500 these scopes in the horizontal ordinate 0～5000, with the example explanation.

Embodiment

Utilize drawings and Examples that a kind of computing method based on measured data wind energy turbine set steady-state output power of the present invention are elaborated below.

A kind of computing method based on measured data wind energy turbine set steady-state output power, it may further comprise the steps:

(1) data acquisition

Gather the wind energy turbine set direction outer end wind speed V that facings the wind _Out, each wind energy conversion system output power P _i(i=1 ..., n), wind energy turbine set actual measurement wind angle α, the wind energy turbine set direction outer end wind speed V that facings the wind _OutThe scope of data acquisition must promptly be cut between wind speed and the cut-out wind speed in the wind energy conversion system range of operation, generally gets 3m/s～21m/s, and step-length is got 0.1m/s; Each wind energy conversion system output power P _iData must cover each wind energy conversion system, i.e. i=1 ..., n, n are wind energy turbine set wind energy conversion system number; The nuance of wind direction is very little for the influence of system's output power, so the interval of wind direction angle is designed to 10 °, so the span of wind angle α (α refers to the angle of wind direction north by east) is 10 °～360 °, totally 36 values;

(2) data processing

By the data that data acquisition step (1) is gathered, respectively the data of the different wind directions of wind energy turbine set actual measurement wind angle α are divided, obtain 36 databases by α=10 °～360 °; Respectively different wind directions are set up tables of data again, α is α when wind energy turbine set actual measurement wind angle _iThe time obtain different V _OutThe pairing P of value _i, C _Pi, P _∑And C ' _PValue, wherein:

P _iBe the actual measurement output power of wind energy turbine set i typhoon group of motors, do not need to calculate;

ρ _Air: atmospheric density;

A _i: i platform machine wind sweeping area in the wind energy turbine set;

A _∑: each wind energy conversion system wind sweeping area sum $A_{\mathrm{\&Sigma;}}=\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}{A}_i;$

V _Out: the wind energy turbine set direction outer end wind speed that facings the wind;

P _∑: the gross output when wind energy turbine set wind-powered electricity generation unit all moves, utilize formula $P_{\mathrm{\&Sigma;}}=\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}{P}_i$ Calculate;

C _PiFor i platform wind energy conversion system in the wind energy turbine set for the facing the wind wind power efficiency of direction outer end wind speed of wind energy turbine set, pass through formula $C_{\mathrm{Pi}}=\frac{{2P}_i}{{\mathrm{\&rho;}}_{\mathrm{air}}{A}_i{V}_{\text{out}}}$ Calculate;

C ' _P: wind energy turbine set wind power efficiency, pass through computing formula $C_P^{\&prime;}=\frac{2P_{\mathrm{\&Sigma;}}}{{\mathrm{\&rho;}}_{\mathrm{air}}{A}_{\mathrm{\&Sigma;}}{V}_{\mathrm{out}}}$ Calculate;

So just obtain terrible to different V _OutThe pairing P of value _i, C _Pi, P _∑And C ' _PValue.

For different V _OutThe pairing C ' of value _PValue, the drafting horizontal ordinate is V _OutOrdinate is C ' _PScatter diagram, the order $\mathrm{\&Delta;V}=\frac{\{\max \left(V_{\mathrm{out}}\right)-\min \left(V_{\mathrm{out}}\right)\}}{n},$ Starting point is a horizontal ordinate minimum windspeed point in the scatter diagram, and terminating point is a horizontal ordinate maximum wind velocity point in the scatter diagram, and this scope is divided into the n equal portions, is spaced apart Δ V, asks for a point for each equal portions, is V for i equal portions horizontal ordinate scope _iTo V _i+ Δ V, getting horizontal ordinate is V _i+ ¹/ ₂Δ V, ordinate are the mean value of the ordinate of all points in this scope, have obtained n point, utilize cubic spline interpolation, obtain C ' _P-V _OutCurve in like manner obtains C _Pi-V _OutCurve, thus the C ' of different wind directions obtained _P-V _OutCurve and C _Pi-V _OutCurve;

(3) simulation calculation

Input emulation input quantity: wind energy turbine set actual measurement wind angle α, the wind energy turbine set direction outer end wind speed V that facings the wind _Out, each wind energy conversion system wind sweeping area A in the wind energy turbine set _i(i=1 ..., n), atmospheric density ρ _Air, shut down aerogenerator numbering m ₁, m ₂M _t, 1≤m≤n and 1≤t≤n wherein; According to wind energy turbine set actual measurement wind angle α selected data storehouse, according to C ' _P-V _WoutCurve and C _Pi-V _WoutCurve is obtained V _OutCorresponding C ' _PAnd C _Pi(i=m wherein ₁, m ₂M _t) then,

$P_{\mathrm{out}}=P_{\mathrm{\&Sigma;}}-\mathrm{\&Sigma;}{P}_i=\frac{1}{2}{C}_P^{\&prime;}{\mathrm{\&rho;}}_{\mathrm{air}}{A}_{\mathrm{\&Sigma;}}{V}_{\mathrm{out}}^3-\frac{1}{2}\underset{i={\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="H2009100671594E00011.png,H2009100671594E00021.png"\; state="\{\{state\}\}">m</figure-callout>}}_1,{\mathrm{<figure-callout\; id="2"\; label="m"\; filenames="H2009100671594E00012.png,H2009100671594E00022.png"\; state="\{\{state\}\}">m</figure-callout>}}_2...,m_t}{\mathrm{\&Sigma;}}{C}_{\mathrm{Pi}}{\mathrm{\&rho;}}_{\mathrm{air}}{V}_{\mathrm{out}}^3$

Wherein, i=m ₁, m ₂M _t

P _Out: the wind energy turbine set steady-state output power;

C _Pi: i platform machine is for the wind power efficiency of outer end wind speed in the wind energy turbine set;

C ' _P: wind energy turbine set wind power efficiency;

P _i: i platform machine output power in the wind energy turbine set;

P _∑: the gross output when wind energy turbine set wind-powered electricity generation unit all moves;

ρ _Air: atmospheric density;

A _i: i platform wind energy conversion system wind sweeping area in the wind energy turbine set;

A _∑: each wind energy conversion system wind sweeping area sum $A_{\mathrm{\&Sigma;}}=\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}{A}_i;$

V _Out: the wind energy turbine set direction outer end wind speed that facings the wind.

(4) error analysis

That the error assessment standard adopts is traditional mean absolute percentage error Mean AbsolutePercentage Error, MAPE, establishing Va is actual value, and Vf is a predicted value, so percentage error (Percentage Error PE) is defined as:

PE＝(V _f-V _a)/V _a×100％

The absolute percent error (Absolute Percentage Error APE) is defined as:

APE＝|PE|

Mean absolute percentage error is defined as:

$\mathrm{MAPE}=\frac{1}{N}\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}{\mathrm{APE}}_i$

Maximum absolute percent error is defined as:

${\mathrm{APE}}_{\max }=\underset{i=1}{\overset{n}{\max }}\left({\mathrm{APE}}_i\right)$

The actual measurement wind energy turbine set that the provides wind energy turbine set record direction outer end wind speed V that facings the wind _Out, wind angle α, atmospheric density ρ _Air, each wind-powered electricity generation compressor emergency shutdown situation is as input in the wind energy turbine set, wind energy turbine set steady-state output power and measured power that this method is calculated carry out Error Calculation by above-mentioned error assessment standard, provide the degree of accuracy of these computing method.

With reference to Fig. 1-5, be the concrete application of a kind of computing method based on measured data wind energy turbine set steady-state output power of the present invention in Taonan, Jilin Province wind energy turbine set first stage of the project 58 typhoon group of motors.

With reference to Fig. 1, the layout of Taonan, Jilin Province wind energy turbine set first stage of the project 58 typhoon group of motors, horizontal ordinate is the horizontal ordinate in geographic position, ordinate is the ordinate in geographic position, the figure shows the relation of position between each wind energy conversion system of this wind energy turbine set.

With reference to Fig. 2,58 wind energy conversion system installations of Taonan, Jilin Province wind energy turbine set first stage of the project position wind speed profile, this figure is a 3 dimensional drawing, X, Y-axis is represented the geographic position, the Z axle is represented wind speed, and has marked the size of wind speed.

Fig. 3 is a scatter diagram disposal route key drawing, order $\mathrm{\&Delta;V}=\frac{\{\max \left(V_{\mathrm{out}}\right)-\min \left(V_{\mathrm{out}}\right)}{n},$ Starting point is a horizontal ordinate minimum windspeed point in the scatter diagram, and terminating point is a horizontal ordinate maximum wind velocity point in the scatter diagram, and this scope is divided into the n equal portions, is spaced apart Δ V.Ask for a point for each equal portions.For i equal portions horizontal ordinate scope is V _iTo V _i+ Δ V, getting horizontal ordinate is V _i+ ¹/ ₂Δ V, ordinate are the mean value of the ordinate of all points in this scope.So just obtained n point.

Fig. 4 is wind energy turbine set P _∑-V _OutThe scatter diagram of the corresponding outer end of the gross output when wind energy turbine set wind-powered electricity generation unit all moves wind speed and the comparison diagram of matched curve, scatter diagram is the measured data of wind energy turbine set, the relation of each a some expression moment of wind energy turbine set wind speed and power, horizontal ordinate is a wind speed, ordinate is a power.By accompanying drawing 3, ask for 10 points again, again 10 points carried out cubic spline interpolation, promptly obtain curve, curve representation the facing the wind one-to-one relationship of direction outer end wind speed and the wind energy turbine set wind-powered electricity generation unit gross output when all moving of wind energy turbine set.

Fig. 5 is wind energy turbine set C ' _p-V _OutThe scatter diagram of the corresponding outer end of wind energy turbine set equivalence power coefficient wind speed and the comparison diagram of matched curve, the relation of each a some expression moment of wind energy turbine set wind speed and wind energy turbine set equivalence power coefficient in the scatter diagram, horizontal ordinate is a wind speed, and ordinate is a wind energy turbine set equivalence power coefficient.By accompanying drawing 3, ask for 10 points again, again 10 points are carried out cubic spline interpolation, promptly obtain curve, the facing the wind one-to-one relationship of direction outer end wind speed and the equivalent power coefficient of wind energy turbine set of curve representation wind energy turbine set.

Fig. 6 is the comparison diagram of Taonan Power Output for Wind Power Field curve and the Taonan Power Output for Wind Power Field curve of actual measurement of the method simulation of this invention, and mark A curve is the simulation output power among the figure, and the B curve is for surveying output power.Wherein ordinate is an output power value.Horizontal ordinate express time wherein each scale is represented 2400 seconds (for example 600～700 is a scale, represents 2400 seconds).The Taonan Power Output for Wind Power Field curve method of simulation is abideed by the step of embodiment.According to each wind energy turbine set that records constantly each wind energy conversion system wind sweeping area in shutdown situation, atmospheric density and the wind energy turbine set of direction outer end wind speed, each wind-powered electricity generation unit of actual wind energy turbine set that facings the wind; each wind energy turbine set gross output is constantly asked in calculating, draws Taonan wind energy turbine set simulation output power curve (as the figure curve A).After 33.33 hours wind energy turbine set variable power situation of simulation, trying to achieve the average percent error is 6.14%.

Claims (1)

1. computing method based on measured data wind energy turbine set steady-state output power is characterized in that it may further comprise the steps:

(1) data acquisition

Gather the wind energy turbine set direction outer end wind speed V that facings the wind _Out, wind energy turbine set i typhoon motor actual measurement output power P _i, i=1 ..., n, wind energy turbine set actual measurement wind angle α, the wind energy turbine set direction outer end wind speed V that facings the wind _OutThe data acquisition scope must in the wind energy conversion system range of operation, promptly cut between wind speed and the cut-out wind speed, generally get 3m/s～21m/s, step-length is got 0.1m/s; The actual measurement output power P of wind energy turbine set i typhoon motor _i, i=1 ..., n, n are wind energy turbine set wind-powered electricity generation unit number; The nuance of wind direction is very little for the influence of system's output power, so the interval of wind direction angle is designed to 10 °, so the span of wind angle α is 10 °～360 °, altogether 36 values;

(2) data processing

By the data that data acquisition step (1) is gathered, respectively the data of the different wind directions of wind energy turbine set actual measurement wind angle α are divided, obtain 36 databases by α=10 °～360 °; Respectively different wind directions are set up tables of data again, α is α when wind energy turbine set actual measurement wind direction _iThe time obtain different V _OutThe pairing P of value _i, C _Pi, P _∑And C ' _PValue, wherein:

P _iActual measurement output power for wind energy turbine set i typhoon group of motors;

ρ _Air: atmospheric density;

A _i: i platform machine wind sweeping area in the wind energy turbine set;

A _∑: each wind energy conversion system wind sweeping area sum

V _Out: the wind energy turbine set direction outer end wind speed that facings the wind;

P _∑: the gross output when wind energy turbine set wind-powered electricity generation unit all moves, utilize formula

Calculate;

C _PiFor i platform wind energy conversion system in the wind energy turbine set for the facing the wind wind power efficiency of direction outer end wind speed of wind energy turbine set, pass through formula

Calculate;

C ' _P: wind energy turbine set wind power efficiency, pass through computing formula

Calculate; Obtain different V _OutBe worth pairing P _i, C _Pi, P _∑And C ' _PValue,

For different V _OutBe worth pairing C ' _PValue, the drafting horizontal ordinate is V _Out, ordinate is C ' _PScatter diagram, the order

Starting point is a horizontal ordinate minimum windspeed point in the scatter diagram, and terminating point is a horizontal ordinate maximum wind velocity point in the scatter diagram, and this scope is divided into the n equal portions, is spaced apart Δ V, asks for a point for each equal portions, is V for i equal portions horizontal ordinate scope _iTo V _i+ Δ V, getting horizontal ordinate is V _i+ 1/2 Δ V, ordinate are the mean value of all some ordinates in this scope, have obtained n point, utilize cubic spline interpolation, obtain C ' _P-V _OutCurve in like manner obtains C _Pi-V _OutCurve, thus the C ' of different wind directions obtained _P-V _OutCurve and C _Pi-V _OutCurve;

(3) simulation calculation

Input emulation input quantity: wind energy turbine set actual measurement wind angle α, the wind energy turbine set direction outer end wind speed V that facings the wind _Out, each wind energy conversion system wind sweeping area A in the wind energy turbine set _i, i=1 wherein ..., n, atmospheric density ρ _Air, shut down aerogenerator numbering m ₁, m ₂M _t, 1≤m≤n and 1≤t≤n wherein; According to wind energy turbine set actual measurement wind angle α selected data storehouse, according to C ' _P-V _WoutCurve and C _Pi-V _WoutCurve is obtained V _OutCorresponding C ' _PAnd C _Pi, i=m wherein ₁, m ₂M _tThen, the wind energy turbine set steady-state output power is:

$P_{\mathrm{out}}=P_{\mathrm{\&Sigma;}}-\mathrm{\&Sigma;}{P}_i=\frac{1}{2}{C}_P^{\&prime;}{\mathrm{\&rho;}}_{\mathrm{air}}{A}_{\mathrm{\&Sigma;}}{V}_{\mathrm{out}}^3-\frac{1}{2}\underset{i=m_1,m_2...,m_t}{\mathrm{\&Sigma;}}{C}_{\mathrm{Pi}}{\mathrm{\&rho;}}_{\mathrm{air}}{V}_{\mathrm{out}}^3$

Wherein, i=m ₁, m ₂M _t

(4) error analysis

What the error assessment standard adopted is that (Mean AbsolutePercentage Error MAPE), establishes V to traditional mean absolute percentage error _aBe actual value, and V _fBe predicted value, so percentage error (Percentage Error PE) is defined as:

PE＝(V _f-V _a)/V _a×100％

The absolute percent error (Absolute Percentage Error APE) is defined as:

APE＝|PE|

Mean absolute percentage error is defined as:

$\mathrm{MAPE}=\frac{1}{N}\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}{\mathrm{APE}}_i$

Maximum absolute percent error is defined as:

${\mathrm{APE}}_{\max }=\underset{i=1}{\overset{n}{\max }}\left({\mathrm{APE}}_i\right)$

The actual measurement wind energy turbine set that the provides wind energy turbine set record direction outer end wind speed V that facings the wind _Out, wind angle α, atmospheric density ρ _Air, each wind-powered electricity generation compressor emergency shutdown situation is as input in the wind energy turbine set, wind energy turbine set steady-state output power and measured power that this method is calculated carry out Error Calculation by above-mentioned error assessment standard, provide the degree of accuracy of these computing method.

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