Summary of the invention
For the deficiency existing in prior art, the present invention seeks to the photovoltaic module model based on simplifying, disclose a kind of photovoltaic generating system output power model, and disclose the evaluation method of this model assessment photovoltaic generating system output power.
To achieve these goals, the present invention realizes by the following technical solutions:
An output power modeling method, is characterized in that, the method comprises the steps:
A. according to traditional solar battery sheet current-voltage characteristic model, set up photovoltaic module current-voltage characteristic model;
B. simplify above-mentioned photovoltaic module current-voltage characteristic model;
C. according to the photovoltaic module current-voltage characteristic model of simplifying, set up photovoltaic generating system output power model.
Described photovoltaic module current-voltage characteristic model, can be provided by following formula:
Wherein: I and V are respectively solar battery sheet output current and voltage; I
phfor photogenerated current; I
0for solar battery sheet P-N knot equivalent diode reverse saturation current; N is Diode Ideality Factor; Q is electron charge, 1.6 * 10
-19c; K
bfor Boltzmann constant; T is photovoltaic module working temperature; R
sand R
shbe respectively the inner equivalent series resistance of solar battery sheet and parallel resistance.
The photovoltaic module current-voltage characteristic formula of described simplification is provided by following formula:
I wherein
sCwith V
oCfor short-circuit current and the open-circuit voltage under photovoltaic module current environment of living in, k is model intermediate parameters.
Described photovoltaic generating system output power model, goes out photovoltaic generating system output power by the photovoltaic module current-voltage characteristic derivation of equation of simplifying, and is given by the following formula:
P
MPP_Array=N
pN
sV
MPPI
MPP
P in formula
mPP_Arrayfor photovoltaic generating system output power, N
pwith N
sbe respectively the number of photovoltaic modules of parallel connection in photovoltaic array and the number of photovoltaic modules of series connection; V
mPPwith I
mPPbe respectively single photovoltaic module and work in voltage and the current value at maximum power point place.V
mPPwith I
mPPby following two solving simultaneous equations:
An output power evaluation method, comprises the steps:
A. create described photovoltaic generating system output power model;
B. obtain the characterisitic parameter under photovoltaic module standard test condition, by output power model parametric solution method, solving model parameter;
C. obtain original meteorologic parameter, comprise the horizontal irradiance in environment temperature and earth's surface;
D. meteorologic parameter is proofreaied and correct to the effective irradiation for photovoltaic module actual work temperature and absorption;
E. by the meteorologic parameter input model after proofreading and correct, by photovoltaic generating system output power method for solving, estimate photovoltaic generating system output power.
The method for solving of described output power model parameter, parametric solution method is as follows:
1) obtain the open-circuit voltage V of photovoltaic module under standard test condition
oC, ref, short-circuit current I
sC, ref, the voltage V of maximum power point place
mPP, refwith electric current I
mPP, ref, following two equations of simultaneous, numerical value iterative parameters R
swith R
sh, R
sand R
shbe respectively the inner equivalent series resistance of solar battery sheet and parallel resistance:
2) solve parameters R
swith R
shafter, by following formula, solve parameter k under standard test condition, be designated as k
ref:
Described meteorologic parameter bearing calibration, the following formula of photovoltaic module mounting plane irradiation solves:
S, S in formula
b, S
d, S
hbe respectively clinoplane irradiation, sun direct projection irradiation, scattering irradiation and the total irradiation of level; θ is solar incident angle, θ
zfor zenith angle, β
tfor clinoplane inclination angle; A
tfor anisotropic index, ρ is Ambient rate.
Photovoltaic module actual work temperature is calculated by following formula:
Be wherein T
ambfor the environment temperature of weather forecast, T
nOCTfor photovoltaic module nominal operation temperature, T and S are respectively the effective irradiation of photovoltaic module temperature and absorption under any environment.
Described photovoltaic generating system output power method for solving, the method comprises the following steps:
1) obtain photovoltaic module short-circuit current temperature coefficient α, open-circuit voltage temperature coefficient β, open-circuit voltage irradiance correction factor a, calculates the photovoltaic module short-circuit current I under any irradiation and temperature environment by following formula
sCwith open-circuit voltage V
oC:
T wherein
reffor the photovoltaic module temperature under standard test condition, 25 ℃, S
reffor irradiance under standard test condition, 1000W/m
2, I
sCwith V
oCbe respectively photovoltaic module short-circuit current and open-circuit voltage in current environment.
2), based on photovoltaic module short-circuit current and open-circuit voltage under the above-mentioned any environment having solved, by following formula, solve any environment drag parameter k:
3) solve parameters R
s, R
shafter k, according to described photovoltaic generating system output power model, can solve photovoltaic generating system output power.
The beneficial effect that the present invention reaches:
The present invention solves easy, can realize the output power of photovoltaic generating system is accurately estimated, helps Power Plant Design personnel to carry out performance analysis, and the weather forecast data based on degree of precision also can realize the prediction of photovoltaic generating system output power.
Embodiment
For technological means, creation characteristic that the present invention is realized, reach object and effect is easy to understand, below in conjunction with embodiment, further set forth the present invention.
The distributed grid-connected system of building up for Hohai University, the present invention's employing is exported DC power as the flow and method of Fig. 2 to this system and is estimated.
As shown in Figure 1, the TMS-PC05240W component string that this grid-connected system is produced by 44 Changzhou Trina Solar companies composes in parallel.The characterisitic parameter of this model photovoltaic module under standard test condition is as shown in the table:
Wherein open-circuit voltage irradiation correction factor a is outdoor measured value.Obtaining the open-circuit voltage V of photovoltaic module under standard test condition
oC, ref, short-circuit current I
sC, ref, the voltage V of maximum power point place
mPP, refwith electric current I
mPP, refafterwards, following two equations of simultaneous, iterative parameters R
swith R
sh:
Adopt numerical solution, solve R
svalue is 0.343 Ω, R
shvalue is 5956 Ω.
Solve parameters R
swith R
shafter, by following formula, solve parameter k under standard test condition, be designated as k
ref:
Try to achieve k
refvalue is 2.9301 * 10
9.
In this specific embodiment, for ease of contrasting disclosed photovoltaic generating system output power appraising model and photovoltaic generating system real output, respectively on September 23rd, 2013 and September 25, recorded inverter and surveyed DC power data.Meanwhile, convenient for the purpose of, adopted the irradiance sensor with the coplanar installation of photovoltaic module, scene has recorded coplanar irradiance as the actual reception of the photovoltaic array irradiation after proofreading and correct; Adopt the on-the-spot assembly backboard temperature that records as the assembly working temperature after proofreading and correct.
Above-mentioned meteorologic parameter input of having proofreaied and correct had previously been solved to the photovoltaic generating system output power model of model parameter, simultaneous following formula, numerical solution goes out single output power of photovoltaic module:
By required single output power of photovoltaic module, by following formula, estimate photovoltaic generating system output power again:
P
MPP_Array=4×11×V
MPPI
MPP
As shown in Figure 3, Figure 4, September 23,25 days, powertrace and the measured light photovoltaic generating system powertrace of the calculating of photovoltaic generating system output power appraising model relatively showed, estimation curve of the present invention and measured curve matching are good.Wherein whole day power percentage error, related coefficient are as shown in the table:
From table, the present invention can realize the accurate estimation to photovoltaic generating system output DC power, meets scientific research and practical implementation.
Wherein, average percent error (MPE) is solved by following formula:
In formula, n is whole day photovoltaic generating system power sample sum.
Related coefficient (R) is solved by following formula:
More than show and described ultimate principle of the present invention and principal character and advantage of the present invention.The technician of the industry should understand; the present invention is not restricted to the described embodiments; that in above-described embodiment and instructions, describes just illustrates principle of the present invention; without departing from the spirit and scope of the present invention; the present invention also has various changes and modifications, and these changes and improvements all fall in the claimed scope of the invention.The claimed scope of the present invention is defined by appending claims and equivalent thereof.