JP3403791B2 - Simulation method of solar radiation - Google Patents

Description

Detailed Description of the Invention

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a solar radiation amount simulation method for obtaining a solar radiation amount curve representing a change in daily solar radiation amount.

[0002]

2. Description of the Related Art Obtained by simulation of solar radiation,
The solar radiation amount curve showing the change in daily solar radiation amount is used in various fields. For example, in the development of solar cell modules,
It is used when checking the amount of power generated by the developed solar cell module per day. Further, in the use of solar power generation, it is used when predicting the amount of power generation of the installed solar cell module per day.

As a simulation of the amount of solar radiation, there is a method of simulating the amount of solar radiation for one day using, for example, a sine wave curve.

In this method, as shown in FIG. 9, a sunrise time T1 and a sunset time T2 are set on the time axis. Then, a sine wave having a half cycle from the sunrise time T1 to the sunset time T2 is drawn as a basic sine wave curve 500 on the time axis. Further, the maximum amplitude 502 of the basic sine wave curve 500 is modified so that the area 501 of the basic sine wave curve 500 becomes equal to the amount of solar radiation per day.

By such a method, a curve 500 representing the change in the amount of solar radiation per day due to the sun can be obtained as a solar radiation amount curve.

[0006]

However, in the actual change in the amount of solar radiation per day, there are different changes near the sunrise time T1, around noon, and at the sunset time T2 as compared with the solar radiation curve 500 of FIG. To do. That is, in the actual change of the amount of solar radiation, the change of the amount of solar radiation is gentle between the sunrise time T1 and the time of sunset T2, and the change of the amount of solar radiation is large near noon. Therefore, in the simulation using a single sine wave curve, the error near the sunrise time T1, near noon, and the sunset time T2 becomes large.

An object of the present invention is to eliminate the above drawbacks and to provide a method for simulating the amount of solar radiation which can reduce the error in the calculated solar radiation curve.

In order to achieve the object, the invention of claim 1 sets a first processing step of setting a sunrise time and a sunset time on a time axis, and a sunrise time and a sunset time set in the first processing step. And the second processing step of setting the first sine wave curve representing the amount of solar radiation on the time axis with a half cycle between these two times, and from the sunrise time to the sunset time of the first sine wave curve. Has a third processing step of changing the maximum amplitude of the first sinusoidal curve so that the area of the first sinusoidal curve becomes equal to the amount of solar radiation per day, and the solar radiation has a cycle 1/2 times the cycle of the first sinusoidal curve. The second sinusoidal curve representing the quantity is set on the time axis so that the poles on both sides of one pole of the second sinusoidal curve pass the sunrise time and the sunset time,
And, between the sunrise time and the sunset time, the fourth processing step of setting the second sine wave curve so that the first sine wave curve and the concave and convex states are the same, and the second sine wave curve The fifth process step of changing the maximum amplitude of the second sine wave curve so that the area from the sunrise time to the sunset time becomes equal to the amount of solar radiation on a day, and the amount of solar radiation and the first sine wave represented by the first sine wave curve. An average of the amount of solar radiation represented by the sine wave curve of 2 is calculated, and the curve from the sunrise time to the time of sunset obtained by this average is used as the amount of solar radiation curve representing the change in the amount of solar radiation per day. And the processing process.

According to a second aspect of the present invention, a first processing step of setting a sunrise time and a sunset time on a time axis and a sunrise time and a sunset time set in the first processing step are passed,
And, the second processing process of setting the first sine wave curve representing the amount of solar radiation on the time axis with a half cycle between these two times, and the area from the sunrise time to the sunset time of the first sine wave curve. Is the same as the amount of solar radiation per day, the third process step of changing the maximum amplitude of the first sine wave curve, and the amount of solar radiation with a cycle of 1/2 the cycle of the first sine wave curve. The second sine wave curve to be represented is set on the time axis so that the poles on both sides of one pole of the second sine wave curve pass the sunrise time and the sunset time, and the sunrise time and the sunset time are set. Between the first sine wave curve and the second sine wave curve so that the unevenness is the same as the first sine wave curve, and from the sunrise time to the sunset time of the second sine wave curve. The maximum amplitude of the second sinusoidal curve is set so that the area is equal to the amount of solar radiation per day. A fifth processing step of changing the width, a sixth processing step of subtracting a smaller one of the solar radiation amount represented by the first sine wave curve and the solar radiation amount represented by the second sine wave curve, and the sixth processing step. Divide the subtraction result of the process by a predetermined ratio,
Obtained by adding this division value to the smaller sine wave curve,
And a seventh processing step in which a curve from the sunrise time to the sunset time is set as a solar radiation amount curve representing a change in the daily radiation amount.

The invention according to claim 3 passes through a first processing step of setting a sunrise time and a sunset time on a time axis, and a sunrise time and a sunset time set in the first processing step,
And, the second processing process of setting the first sine wave curve representing the amount of solar radiation on the time axis with a half cycle between these two times, and the area from the sunrise time to the sunset time of the first sine wave curve. Is the same as the amount of solar radiation per day, the third process step of changing the maximum amplitude of the first sine wave curve, and the amount of solar radiation with a cycle of 1/2 the cycle of the first sine wave curve. The second sine wave curve to be represented is set on the time axis so that the poles on both sides of one pole of the second sine wave curve pass the sunrise time and the sunset time, and the sunrise time and the sunset time are set. Between the first sine wave curve and the second sine wave curve so that the unevenness is the same as the first sine wave curve, and from the sunrise time to the sunset time of the second sine wave curve. The maximum amplitude of the second sinusoidal curve is set so that the area is equal to the amount of solar radiation per day. A fifth processing step of changing the width, a sixth processing step of subtracting a smaller one of the solar radiation amount represented by the first sine wave curve and the solar radiation amount represented by the second sine wave curve, and the sixth processing step. Divide the subtraction result of the process by a predetermined ratio,
Obtained by adding this division value to the smaller sine wave curve,
The curve from the sunrise time to the sunset time should be the solar radiation curve that represents the change in the daily solar radiation, and the area of the solar radiation curve from the sunrise time to the sunset time should be equal to the daily solar radiation. And a seventh processing step for setting a predetermined ratio.

According to the invention of claim 4, as the amount of solar radiation per day,
It is characterized by using the amount of solar radiation which is the average of the total amount of solar radiation for a predetermined period.

[0012]

According to the first aspect of the invention, the first sinusoidal curve which is a single sinusoidal curve is divided by 1 / the period of the first sinusoidal curve.
It is corrected by using twice the curve.

At this time, the second sinusoidal curve is
Is set on the time axis so that the poles on both sides of one pole of the sine wave curve of 1 pass through the sunrise time and the sunset time, and between the sunrise time and the sunset time, the first sine wave curve The second sinusoidal curve is set so that the unevenness is the same. Further, the curve is obtained by calculating the average of the amount of solar radiation represented by the first sinusoidal curve and the amount of solar radiation represented by the second sinusoidal curve.

According to the invention of claim 1, since the obtained curve is a solar radiation amount curve representing a change in the amount of solar radiation per day, errors near the sunrise time, noon and sunset time can be reduced.

According to the second and third aspects of the invention, when the first sinusoidal curve is corrected by using a curve that is 1/2 times the cycle of the first sinusoidal curve, the following is performed. That is, the smaller of the solar radiation amount represented by the first sine wave curve and the solar radiation amount represented by the second sine wave curve is subtracted from the larger one. Then, the subtraction result is divided at a predetermined ratio, and the divided value is added to the sine wave curve having the smaller amount of solar radiation to obtain the curve. At this time, the invention of claim 3 sets a predetermined ratio such that the area of the obtained curve from the sunrise time to the sunset time is equal to the amount of solar radiation per day.

According to the inventions of claims 2 and 3, the obtained curve is 1
Since it is a curve showing the change in the amount of solar radiation on the day, by changing the ratio for dividing the subtraction result at the time of correction near the sunrise time, noon and sunset time,
It is possible to approach a curve that represents the actual change in solar radiation.

According to the invention of claim 4, as the amount of solar radiation per day,
Since the average amount of solar radiation over a given period is used,
For example, data published in various yearbooks can be used as the amount of solar radiation per day.

[0018]

Embodiments of the present invention will now be described with reference to the drawings.

[First Embodiment] FIG. 8 is a block diagram showing an example of an arithmetic system for carrying out the present invention. This arithmetic system includes an input device 1 for inputting information of a solar cell module, an external storage device 2 for magnetically storing information, a control device 3, and a display device 4 for displaying processed information. The output device 5 prints out the processed information.

When the simulation of the amount of solar radiation per day is started, the control device 3 starts the processing shown in FIGS. First, as shown in FIG. 3A, the control device 3 sets the vertical axis as the amount of solar radiation and the horizontal axis as the time axis (step S11). Next, sunrise time T1 and sunset time T
When 2 is input to the input device 1, the control device 3 sets the sunrise time T1 and the sunset time T2 on the time axis (step S12). Step S11 and step S
12 is the first processing step.

When step S12 is completed, the controller 3
3B, a sine wave having a period from the sunrise time T1 to the sunset time T2 as a half cycle, that is, T / 2 (T: cycle) is a basic sine wave curve (first sine wave). A curve 100 is drawn on the time axis (step S13).
This step S13 is the second processing step.

After this, the control device 3 determines that the basic sine wave curve 1
The maximum amplitude of the basic sine wave curve 100 is corrected to a so that the area 101 of 00 becomes equal to the solar radiation amount of the day input to the input device 1 (step S14). That is, the amount of solar radiation y ₁ using the basic sine wave curve 100 is expressed by the following equation: y ₁ = a · sin {(2π / T) · t)} (1). Step S14 for performing such processing is the third processing step.

As the daily solar radiation amount used in step S14, for example, the daily solar radiation amount is calculated and used from the monthly average solar radiation amount published in various yearbooks. In addition to this, the amount of solar radiation per day is measured using an integrating pyranometer or the like. And you may use the average value of the measured value of a predetermined period as a solar radiation amount of 1 day.

[0024] After step S14, the control unit 3, as shown in FIG. 4 (a), 1/2 of the fundamental sinusoidal curve 100
Sine wave curve (second sine wave curve) 110 having a double period
Is drawn on the time axis (step S15). Sine wave curve 11
When drawing 0, the control device 3 draws so that the local minimum points 112 and 113 on both sides of the local maximum point 111 of the sine wave curve 110 pass the sunrise time T1 and the sunset time T2, respectively. In addition, the control device 3 draws the sine wave curve 110 so that the basic sine wave curve 100 and the unevenness state are the same between the sunrise time T1 and the sunset time T2. Step S15 for performing this processing is the fourth processing step.

After step S15, the control device 3 determines that the area 114 of the sinusoidal curve 110 is equal to the area used in step S14.
The maximum amplitude of the sine wave curve 110 is corrected to b so that it becomes equal to the amount of solar radiation on the day (step S16). In other words, the amount of solar radiation y ₂ using the sine wave curve 110 is expressed by the following equation: y ₂ = b · sin {(4π / T) · t) −π / 2} + b (2). Step S16 of performing such processing is the fifth processing step.

After step S16, the controller 3 insoles y of the basic sine wave curve 100 obtained at step S14.
Calculating _1, the average value of the solar radiation y ₂ of the sinusoidal curve 110 obtained in step S16 (step S17). That is, the control unit 3, (1) and the solar radiation y ₁ of formula (2) below the solar radiation y ₂ Prefecture, using the formula (y ₁ + y ₂₎ / 2 (3), each average value To calculate. And FIG.
As shown in (b), the points showing the average value calculated in step S17 are connected to calculate a solar radiation curve 120 (step S18). Such steps S17 and S18 are the sixth
It becomes a processing process.

After step S18, the control device 3 draws the calculated solar radiation curve 120 on the display device 4 (step S18).
19). Further, the solar radiation amount curve 120 is output to the output device 5 and the solar radiation amount curve 120 is stored in the external storage device 2 as necessary.

The solar radiation amount curve 120 is a modification of the basic sine wave curve 100 using the sine wave curve 110. That is, in the basic sine wave curve 100, the amount of solar radiation changes drastically near the sunrise time T1 and the sunset time T2, and the amount of solar radiation changes moderately around noon. On the other hand, the sine wave curve 110 changes opposite to the basic sine wave curve 100. In the first embodiment, the basic sinusoidal curve 100
Is corrected with a sine wave curve 110 that changes in the opposite manner to the basic sine wave curve 100, so that a practical solar radiation curve 120
Can be obtained.

[Embodiment 2] Like Embodiment 1, Embodiment 2 is a method for obtaining a curve showing the amount of solar radiation per day. That is, the second embodiment is applied to the arithmetic system of FIG. 8, and the control device 3 of the second embodiment performs the processing shown in FIGS. Among them, the processes from step S21 to step S26 are the same as step S11 to step S1 of the first embodiment.
It is the same as up to 6.

The control device 3 of the second embodiment, step S26.
When the process of is finished, the basic sine wave curve 100 and the sine wave curve 110 shown in FIG. 7A are drawn. The control device 3 determines the amount of solar radiation y ₁ represented by the basic sine wave curve 100 and the sine wave curve 1
Subtract the smaller one from the larger one of the solar radiation amount y ₂ represented by 10. That is, y ₁ = a · sin {(2π / T) · t)} (1) obtained in step S24 and y ₂ = b · sin {(4π / T) · obtained in step S26. t) −π / 2} + b (2) is used to calculate | y ₁ −y ₂ | (4) (step S27). Step S27 is the sixth
It becomes a processing process. Further, the difference obtained from the equation (4) is divided into a ratio of m: n (5) (step S28).

Basic sine wave curve 100 and sine wave curve 110
Let T3 and T4 be the times when and intersect, and the sunrise time T
The period from 1 to time T3 and the period from time T4 to sunset time T2 are divided as shown in FIG. 7 (b). Then, the control device 3 calculates each division point P. In the period from time T3 to time T4, division is performed as shown in FIG. 7C, and division points P are calculated.

After step S28, the control device 3 connects the respective division points P calculated in step S28 to calculate the solar radiation amount curve 130 (step S29). Steps S28 and S29 are the seventh processing step.

During the processing in steps S28 and S29,
The ratio used in step S28 may be set so that the area from the sunrise time T1 to the sunset time T2 of the solar radiation amount curve 130 obtained in step S29 is equal to the daily solar radiation amount.

After step S29, the control device 3 draws the calculated solar radiation amount curve 130 on the display device 4 (step S29).
30). Further, the solar radiation amount curve 130 is output to the output device 5 and the solar radiation amount curve 130 is stored in the external storage device 2 as necessary.

Therefore, when the basic sine wave curve 100 is modified using the sine wave curve 110, the ratio shown in (5) is changed based on the actual amount of solar radiation per day.
The solar radiation curve 130 can be brought closer to the actual curve.

In the first and second embodiments, the object is the solar cell module, but the invention is not limited to the solar cell module. For example, the solar battery cells forming the solar battery module may be targeted. Alternatively, a solar cell array including a plurality of solar cell modules may be targeted.

The solar radiation curves obtained in Examples 1 and 2 can be applied to fields other than solar cells.

[0038]

As described above, according to the invention of claim 1, when the first sine wave curve is modified, the second sine wave curve is provided on both sides of one pole point of the second sine wave curve. Is set on the time axis so that the pole of passes through the sunrise time and the sunset time, and the first sine wave curve and the concave and convex states are the same between the sunrise time and the sunset time. Set the sine wave curve of 2. Further, the solar radiation amount represented by the first sine wave curve and the solar radiation amount represented by the second sine wave curve are averaged.

According to the invention of claim 1, since the curve thus obtained is a solar radiation curve representing a change in solar radiation per day, the error near the sunrise time, noon and sunset time can be calculated by the conventional method. Can be less than.

According to the second and third aspects of the present invention, when the first sine wave curve is modified, the solar radiation amount represented by the first sine wave curve and the solar radiation amount represented by the second sine wave curve are reduced from the larger one. Subtract one. Then, the subtraction result is divided at a predetermined ratio, and this divided value is added to the sine wave curve having the smaller amount of solar radiation.

According to the second aspect of the present invention, the curve thus obtained is used as a solar radiation curve representing a change in daily solar radiation. Therefore, subtraction is performed in corrections near sunrise time, noon and sunset time. By changing the ratio for dividing the result, it is possible to approximate the curve representing the actual amount of solar radiation. Therefore, the error near the sunrise time, around noon, and near the sunset time can be further reduced.

In the invention of claim 3, the ratio for dividing the subtraction result is set so that the area of the curve obtained in the invention of claim 2 becomes equal to the amount of solar radiation per day. The change in the amount of solar radiation on a day can be represented more accurately.

According to the invention of claim 4, as the amount of solar radiation per day,
Since the average amount of solar radiation over a given period is used,
For example, the data published in various yearbooks are used as the amount of solar radiation per day. Accordingly, the invention of claim 3 can save the labor of actually measuring the amount of solar radiation when correcting the maximum amplitudes of the first sine wave curve and the second sine wave curve.

[Brief description of drawings]

FIG. 1 is a flowchart showing a first embodiment of the present invention.

FIG. 2 is a flowchart showing the first embodiment of the present invention.

FIG. 3 is a diagram showing a process of drawing a curve according to the first embodiment.

FIG. 4 is a diagram showing a process of drawing a curve according to the first embodiment.

FIG. 5 is a flowchart showing a second embodiment of the present invention.

FIG. 6 is a flowchart showing a second embodiment of the present invention.

FIG. 7 is a diagram showing a process of drawing a curve according to the second embodiment.

FIG. 8 is a block diagram showing an arithmetic system for carrying out Examples 1 and 2.

FIG. 9 is a diagram for explaining a conventional method.

[Explanation of symbols]

S11 to S18 processing steps

─────────────────────────────────────────────────── ─── Continuation of front page (58) Fields surveyed (Int.Cl. ⁷ , DB name) G01W 1/00-1/18 JISST file (JOIS)

Claims (4)

(57) [Claims] 1. A first processing step of setting a sunrise time and a sunset time on a time axis, a sunrise time and a sunset time set in the first processing step, and a halfway between these two times. The second processing step of setting the first sine wave curve representing the amount of solar radiation as a cycle on the time axis, and the area of the first sine wave curve from the sunrise time to the sunset time becomes equal to the amount of solar radiation per day. As described above, a third processing step of changing the maximum amplitude of the first sinusoidal curve and a second sinusoidal curve having a period 1/2 times the period of the first sinusoidal curve and representing the amount of solar radiation are 1 of the second sinusoidal curve
The poles on both sides of one pole are set on the time axis so that they pass the sunrise time and the sunset time, and the first sine wave curve and the unevenness state are the same between the sunrise time and the sunset time. The fourth processing step of setting the second sine wave curve so that the area from the sunrise time to the sunset time of the second sine wave curve becomes equal to the solar radiation amount of one day. The fifth process for changing the maximum amplitude of the wave curve, and the average of the amount of solar radiation represented by the first sinusoidal curve and the amount of solar radiation represented by the second sinusoidal curve are respectively calculated, and the sunrise obtained by this average is calculated. A method for simulating the amount of solar radiation, which includes a sixth process in which a curve from time to sunset is a solar radiation amount curve representing changes in the amount of solar radiation per day. 2. A first processing step of setting a sunrise time and a sunset time on a time axis, and a sunrise time and a sunset time set in the first processing step, and a halfway between these two times. The second processing step of setting the first sine wave curve representing the amount of solar radiation as a cycle on the time axis, and the area of the first sine wave curve from the sunrise time to the sunset time becomes equal to the amount of solar radiation per day. As described above, a third processing step of changing the maximum amplitude of the first sinusoidal curve and a second sinusoidal curve having a period 1/2 times the period of the first sinusoidal curve and representing the amount of solar radiation are 1 of the second sinusoidal curve
The poles on both sides of one pole are set on the time axis so that they pass the sunrise time and the sunset time, and the first sine wave curve and the unevenness state are the same between the sunrise time and the sunset time. The fourth processing step of setting the second sine wave curve so that the area from the sunrise time to the sunset time of the second sine wave curve becomes equal to the solar radiation amount of one day. A fifth processing step for changing the maximum amplitude of the wave curve, and a sixth processing step for subtracting the smaller one of the solar radiation quantity represented by the first sinusoidal curve and the solar radiation quantity represented by the second sinusoidal curve , The curve from sunrise time to sunset time obtained by dividing the subtraction result of the sixth processing step by a predetermined ratio and adding this divided value to the smaller sine wave curve changes in the amount of solar radiation per day. Of the amount of insolation including the seventh process step and the insolation curve representing Simulation method. 3. A first processing step of setting a sunrise time and a sunset time on a time axis, and passing through the sunrise time and the sunset time set in the first processing step and halfway between these two times. The second processing step of setting the first sine wave curve representing the amount of solar radiation as a cycle on the time axis, and the area of the first sine wave curve from the sunrise time to the sunset time becomes equal to the amount of solar radiation per day. As described above, a third processing step of changing the maximum amplitude of the first sinusoidal curve and a second sinusoidal curve having a period 1/2 times the period of the first sinusoidal curve and representing the amount of solar radiation are 1 of the second sinusoidal curve
The poles on both sides of one pole are set on the time axis so that they pass the sunrise time and the sunset time, and the first sine wave curve and the unevenness state are the same between the sunrise time and the sunset time. The fourth processing step of setting the second sine wave curve so that the area from the sunrise time to the sunset time of the second sine wave curve becomes equal to the solar radiation amount of one day. A fifth processing step for changing the maximum amplitude of the wave curve, and a sixth processing step for subtracting the smaller one of the solar radiation quantity represented by the first sinusoidal curve and the solar radiation quantity represented by the second sinusoidal curve , The curve from sunrise time to sunset time obtained by dividing the subtraction result of the sixth processing step by a predetermined ratio and adding this divided value to the smaller sine wave curve changes in the amount of solar radiation per day. And the sunrise of this insolation curve Insolation simulation method and a seventh process in which the area from time to sunset time is set to a predetermined ratio to be equal to the amount of solar radiation per day. 4. The method for simulating the amount of solar radiation according to claim 1, 2 or 3, wherein the amount of solar radiation averaged over the accumulated amount of solar radiation for a predetermined period is used as the amount of solar radiation for one day.