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/* Copyright (c) 1994,2006 *Fraunhofer Institut for Solar Energy Systems |
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* Heidenhofstr. 2, D-79110 Freiburg, Germany |
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* *Agence de l'Environnement et de la Maitrise de l'Energie |
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* Centre de Valbonne, 500 route des Lucioles, 06565 Sophia Antipolis Cedex, France |
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* *BOUYGUES |
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* 1 Avenue Eugene Freyssinet, Saint-Quentin-Yvelines, France |
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*/ |
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|
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#define _USE_MATH_DEFINES |
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#include <stdio.h> |
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#include <string.h> |
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#include <math.h> |
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#include <stdlib.h> |
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|
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#include "color.h" |
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#include "sun.h" |
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#include "paths.h" |
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|
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#define DOT(v1,v2) (v1[0]*v2[0]+v1[1]*v2[1]+v1[2]*v2[2]) |
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|
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double normsc(); |
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|
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/*static char *rcsid="$Header: /cvs/radiance/ray/src/gen/gendaylit.c,v 2.14 2013/09/06 16:54:06 greg Exp $";*/ |
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|
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float coeff_perez[] = { |
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1.3525,-0.2576,-0.2690,-1.4366,-0.7670,0.0007,1.2734,-0.1233,2.8000,0.6004,1.2375,1.000,1.8734,0.6297, |
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0.9738,0.2809,0.0356,-0.1246,-0.5718,0.9938,-1.2219,-0.7730,1.4148,1.1016,-0.2054,0.0367,-3.9128,0.9156, |
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6.9750,0.1774,6.4477,-0.1239,-1.5798,-0.5081,-1.7812,0.1080,0.2624,0.0672,-0.2190,-0.4285,-1.1000,-0.2515, |
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0.8952,0.0156,0.2782,-0.1812,-4.5000,1.1766,24.7219,-13.0812,-37.7000,34.8438,-5.0000,1.5218,3.9229, |
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-2.6204,-0.0156,0.1597,0.4199,-0.5562,-0.5484,-0.6654,-0.2672,0.7117,0.7234,-0.6219,-5.6812,2.6297, |
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33.3389,-18.3000,-62.2500,52.0781,-3.5000,0.0016,1.1477,0.1062,0.4659,-0.3296,-0.0876,-0.0329,-0.6000, |
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-0.3566,-2.5000,2.3250,0.2937,0.0496,-5.6812,1.8415,21.0000,-4.7656,-21.5906,7.2492,-3.5000,-0.1554, |
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1.4062,0.3988,0.0032,0.0766,-0.0656,-0.1294,-1.0156,-0.3670,1.0078,1.4051,0.2875,-0.5328,-3.8500,3.3750, |
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14.0000,-0.9999,-7.1406,7.5469,-3.4000,-0.1078,-1.0750,1.5702,-0.0672,0.4016,0.3017,-0.4844,-1.0000, |
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0.0211,0.5025,-0.5119,-0.3000,0.1922,0.7023,-1.6317,19.0000,-5.0000,1.2438,-1.9094,-4.0000,0.0250,0.3844, |
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0.2656,1.0468,-0.3788,-2.4517,1.4656,-1.0500,0.0289,0.4260,0.3590,-0.3250,0.1156,0.7781,0.0025,31.0625, |
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-14.5000,-46.1148,55.3750,-7.2312,0.4050,13.3500,0.6234,1.5000,-0.6426,1.8564,0.5636}; |
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|
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|
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float defangle_theta[] = { |
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84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, |
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84, 84, 84, 84, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, |
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72, 72, 72, 72, 72, 72, 72, 72, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, |
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60, 60, 60, 60, 60, 60, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, |
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48, 48, 48, 48, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 24, 24, 24, 24, |
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24, 24, 24, 24, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 0}; |
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|
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float defangle_phi[] = { |
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0, 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, |
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276, 288, 300, 312, 324, 336, 348, 0, 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, |
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192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348, 0, 15, 30, 45, 60, 75, 90, 105, |
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120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 0, 15, 30, 45, 60, 75, |
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90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 0, 20, 40, 60, |
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80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 0, 30, 60, 90, 120, 150, 180, 210, |
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240, 270, 300, 330, 0, 60, 120, 180, 240, 300, 0}; |
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|
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|
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|
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/* Perez sky parametrization: epsilon and delta calculations from the direct and diffuse irradiances */ |
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double sky_brightness(); |
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double sky_clearness(); |
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|
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/* calculation of the direct and diffuse components from the Perez parametrization */ |
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double diffuse_irradiance_from_sky_brightness(); |
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double direct_irradiance_from_sky_clearness(); |
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|
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/* Perez global horizontal, diffuse horizontal and direct normal luminous efficacy models : */ |
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/* input w(cm)=2cm, solar zenith angle(degrees); output efficacy(lm/W) */ |
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|
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double glob_h_effi_PEREZ(); |
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double glob_h_diffuse_effi_PEREZ(); |
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double direct_n_effi_PEREZ(); |
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|
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/*likelihood check of the epsilon, delta, direct and diffuse components*/ |
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void check_parametrization(); |
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void check_irradiances(); |
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void check_illuminances(); |
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void illu_to_irra_index(); |
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void print_error_sky(); |
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|
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double calc_rel_lum_perez(double dzeta,double gamma,double Z,double epsilon,double Delta,float coeff_perez[]); |
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void coeff_lum_perez(double Z, double epsilon, double Delta, float coeff_perez[]); |
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double radians(double degres); |
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double degres(double radians); |
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void theta_phi_to_dzeta_gamma(double theta,double phi,double *dzeta,double *gamma, double Z); |
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double integ_lv(float *lv,float *theta); |
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|
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void printdefaults(); |
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void check_sun_position(); |
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void computesky(); |
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void printhead(int ac, char** av); |
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void usage_error(char* msg); |
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void printsky(); |
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|
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FILE * frlibopen(char* fname); |
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|
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/* astronomy and geometry*/ |
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double get_eccentricity(); |
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double air_mass(); |
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|
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double solar_sunset(int month, int day); |
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double solar_sunrise(int month, int day); |
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double stadj(); |
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int jdate(int month, int day); |
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|
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|
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/* sun calculation constants */ |
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extern double s_latitude; |
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extern double s_longitude; |
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extern double s_meridian; |
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|
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const double AU = 149597890E3; |
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const double solar_constant_e = 1367; /* solar constant W/m^2 */ |
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const double solar_constant_l = 127500; /* solar constant lux */ |
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|
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const double half_sun_angle = 0.2665; |
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const double half_direct_angle = 2.85; |
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|
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const double skyclearinf = 1.0; /* limitations for the variation of the Perez parameters */ |
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const double skyclearsup = 12.01; |
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const double skybriginf = 0.01; |
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const double skybrigsup = 0.6; |
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|
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|
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|
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/* required values */ |
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int month, day; /* date */ |
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double hour; /* time */ |
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int tsolar; /* 0=standard, 1=solar */ |
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double altitude, azimuth; /* or solar angles */ |
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|
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|
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|
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/* definition of the sky conditions through the Perez parametrization */ |
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double skyclearness = 0; |
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double skybrightness = 0; |
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double solarradiance; |
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double diffuseilluminance, directilluminance, diffuseirradiance, directirradiance, globalirradiance; |
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double sunzenith, daynumber, atm_preci_water=2; |
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|
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/*double sunaltitude_border = 0;*/ |
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double diffnormalization = 0; |
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double dirnormalization = 0; |
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double *c_perez; |
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|
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int output=0; /* define the unit of the output (sky luminance or radiance): */ |
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/* visible watt=0, solar watt=1, lumen=2 */ |
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int input=0; /* define the input for the calulation */ |
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|
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int suppress_warnings=0; |
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|
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/* default values */ |
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int cloudy = 0; /* 1=standard, 2=uniform */ |
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int dosun = 1; |
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double zenithbr = -1.0; |
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double betaturbidity = 0.1; |
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double gprefl = 0.2; |
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int S_INTER=0; |
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|
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/* computed values */ |
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double sundir[3]; |
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double groundbr = 0; |
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double F2; |
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double solarbr = 0.0; |
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int u_solar = 0; /* -1=irradiance, 1=radiance */ |
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float timeinterval = 0; |
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|
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char *progname; |
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char errmsg[128]; |
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|
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double st; |
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|
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|
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int main(int argc, char** argv) |
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{ |
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int i; |
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|
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progname = argv[0]; |
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if (argc == 2 && !strcmp(argv[1], "-defaults")) { |
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printdefaults(); |
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return 0; |
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} |
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if (argc < 4) |
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usage_error("arg count"); |
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if (!strcmp(argv[1], "-ang")) { |
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altitude = atof(argv[2]) * (M_PI/180); |
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azimuth = atof(argv[3]) * (M_PI/180); |
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month = 0; |
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} else { |
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month = atoi(argv[1]); |
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if (month < 1 || month > 12) |
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usage_error("bad month"); |
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day = atoi(argv[2]); |
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if (day < 1 || day > 31) |
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usage_error("bad day"); |
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hour = atof(argv[3]); |
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if (hour < 0 || hour >= 24) |
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usage_error("bad hour"); |
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tsolar = argv[3][0] == '+'; |
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} |
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for (i = 4; i < argc; i++) |
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if (argv[i][0] == '-' || argv[i][0] == '+') |
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switch (argv[i][1]) { |
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case 's': |
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cloudy = 0; |
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dosun = argv[i][0] == '+'; |
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break; |
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case 'R': |
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u_solar = argv[i][1] == 'R' ? -1 : 1; |
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solarbr = atof(argv[++i]); |
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break; |
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case 'c': |
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cloudy = argv[i][0] == '+' ? 2 : 1; |
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dosun = 0; |
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break; |
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case 't': |
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betaturbidity = atof(argv[++i]); |
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break; |
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case 'w': |
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suppress_warnings = 1; |
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break; |
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case 'b': |
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zenithbr = atof(argv[++i]); |
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break; |
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case 'g': |
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gprefl = atof(argv[++i]); |
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break; |
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case 'a': |
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s_latitude = atof(argv[++i]) * (M_PI/180); |
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break; |
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case 'o': |
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s_longitude = atof(argv[++i]) * (M_PI/180); |
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break; |
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case 'm': |
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s_meridian = atof(argv[++i]) * (M_PI/180); |
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break; |
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|
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case 'O': |
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output = atof(argv[++i]); /*define the unit of the output of the program: |
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sky and sun luminance/radiance |
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(0==W visible, 1==W solar radiation, 2==lm) */ |
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break; |
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|
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case 'P': |
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input = 0; /* Perez parameters: epsilon, delta */ |
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skyclearness = atof(argv[++i]); |
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skybrightness = atof(argv[++i]); |
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break; |
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|
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case 'W': /* direct normal Irradiance [W/m^2] */ |
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input = 1; /* diffuse horizontal Irrad. [W/m^2] */ |
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directirradiance = atof(argv[++i]); |
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diffuseirradiance = atof(argv[++i]); |
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break; |
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|
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case 'L': /* direct normal Illuminance [Lux] */ |
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input = 2; /* diffuse horizontal Ill. [Lux] */ |
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directilluminance = atof(argv[++i]); |
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diffuseilluminance = atof(argv[++i]); |
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break; |
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|
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case 'G': /* direct horizontal Irradiance [W/m^2] */ |
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input = 3; /* diffuse horizontal Irrad. [W/m^2] */ |
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directirradiance = atof(argv[++i]); |
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diffuseirradiance = atof(argv[++i]); |
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break; |
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|
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case 'E': /* Erbs model based on the */ |
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input = 4; /* global-horizontal irradiance [W/m^2] */ |
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globalirradiance = atof(argv[++i]); |
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break; |
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|
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case 'i': |
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timeinterval = atof(argv[++i]); |
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break; |
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|
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|
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default: |
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sprintf(errmsg, "unknown option: %s", argv[i]); |
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usage_error(errmsg); |
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} |
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else |
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usage_error("bad option"); |
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|
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if (month && !tsolar && fabs(s_meridian-s_longitude) > 45*M_PI/180) |
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fprintf(stderr,"%s: warning: %.1f hours btwn. standard meridian and longitude\n", |
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progname, (s_longitude-s_meridian)*12/M_PI); |
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|
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|
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/* dynamic memory allocation for the pointers */ |
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if ( (c_perez = calloc(5, sizeof(double))) == NULL ) |
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{ fprintf(stderr,"Out of memory error in function main"); return 1; } |
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|
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|
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printhead(argc, argv); |
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computesky(); |
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printsky(); |
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return 0; |
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|
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} |
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|
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|
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|
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|
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|
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void computesky() |
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{ |
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|
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int j; |
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|
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float *lv_mod; /* 145 luminance values */ |
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float *theta_o, *phi_o; |
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double dzeta, gamma; |
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double normfactor; |
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double erbs_s0, erbs_kt; |
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|
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|
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/* compute solar direction */ |
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|
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if (month) { /* from date and time */ |
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int jd; |
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double sd; |
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|
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jd = jdate(month, day); /* Julian date */ |
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sd = sdec(jd); /* solar declination */ |
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if (tsolar) /* solar time */ |
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st = hour; |
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else |
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st = hour + stadj(jd); |
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|
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|
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if(timeinterval) { |
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|
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if(timeinterval<0) { |
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fprintf(stderr, "time interval negative\n"); |
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exit(1); |
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} |
338 |
|
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if(fabs(solar_sunrise(month,day)-st)<=timeinterval/120) { |
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st= (st+timeinterval/120+solar_sunrise(month,day))/2; |
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if(suppress_warnings==0) |
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{ fprintf(stderr, "Solar position corrected at time step %d %d %.3f\n",month,day,hour); } |
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} |
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|
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if(fabs(solar_sunset(month,day)-st)<timeinterval/120) { |
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st= (st-timeinterval/120+solar_sunset(month,day))/2; |
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if(suppress_warnings==0) |
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{ fprintf(stderr, "Solar position corrected at time step %d %d %.3f\n",month,day,hour); } |
349 |
} |
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|
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if((st<solar_sunrise(month,day)-timeinterval/120) || (st>solar_sunset(month,day)+timeinterval/120)) { |
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if(suppress_warnings==0) |
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{ fprintf(stderr, "Warning: sun position too low, printing error sky at %d %d %.3f\n",month,day,hour); } |
354 |
altitude = salt(sd, st); |
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azimuth = sazi(sd, st); |
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print_error_sky(); |
357 |
exit(0); |
358 |
} |
359 |
} |
360 |
else |
361 |
|
362 |
if(st<solar_sunrise(month,day) || st>solar_sunset(month,day)) { |
363 |
if(suppress_warnings==0) |
364 |
{ fprintf(stderr, "Warning: sun altitude below zero at time step %i %i %.2f, printing error sky\n",month,day,hour); } |
365 |
altitude = salt(sd, st); |
366 |
azimuth = sazi(sd, st); |
367 |
print_error_sky(); |
368 |
exit(0); |
369 |
} |
370 |
|
371 |
altitude = salt(sd, st); |
372 |
azimuth = sazi(sd, st); |
373 |
|
374 |
daynumber = (double)jdate(month, day); |
375 |
|
376 |
} |
377 |
|
378 |
|
379 |
|
380 |
|
381 |
|
382 |
if (!cloudy && altitude > 87.*M_PI/180.) { |
383 |
|
384 |
if (suppress_warnings==0) { |
385 |
fprintf(stderr, |
386 |
"%s: warning - sun too close to zenith, reducing altitude to 87 degrees\n", |
387 |
progname); |
388 |
} |
389 |
altitude = 87.*M_PI/180.; |
390 |
} |
391 |
|
392 |
|
393 |
|
394 |
sundir[0] = -sin(azimuth)*cos(altitude); |
395 |
sundir[1] = -cos(azimuth)*cos(altitude); |
396 |
sundir[2] = sin(altitude); |
397 |
|
398 |
|
399 |
/* calculation for the new functions */ |
400 |
sunzenith = 90 - altitude*180/M_PI; |
401 |
|
402 |
|
403 |
/* compute the inputs for the calculation of the light distribution over the sky*/ |
404 |
if (input==0) /* P */ |
405 |
{ |
406 |
check_parametrization(); |
407 |
diffuseirradiance = diffuse_irradiance_from_sky_brightness(); /*diffuse horizontal irradiance*/ |
408 |
directirradiance = direct_irradiance_from_sky_clearness(); |
409 |
check_irradiances(); |
410 |
|
411 |
if (output==0 || output==2) |
412 |
{ |
413 |
diffuseilluminance = diffuseirradiance*glob_h_diffuse_effi_PEREZ();/*diffuse horizontal illuminance*/ |
414 |
directilluminance = directirradiance*direct_n_effi_PEREZ(); |
415 |
check_illuminances(); |
416 |
} |
417 |
} |
418 |
|
419 |
|
420 |
else if (input==1) /* W */ |
421 |
{ |
422 |
check_irradiances(); |
423 |
skybrightness = sky_brightness(); |
424 |
skyclearness = sky_clearness(); |
425 |
|
426 |
check_parametrization(); |
427 |
|
428 |
if (output==0 || output==2) |
429 |
{ |
430 |
diffuseilluminance = diffuseirradiance*glob_h_diffuse_effi_PEREZ();/*diffuse horizontal illuminance*/ |
431 |
directilluminance = directirradiance*direct_n_effi_PEREZ(); |
432 |
check_illuminances(); |
433 |
} |
434 |
|
435 |
} |
436 |
|
437 |
|
438 |
else if (input==2) /* L */ |
439 |
{ |
440 |
check_illuminances(); |
441 |
illu_to_irra_index(); |
442 |
check_parametrization(); |
443 |
} |
444 |
|
445 |
|
446 |
else if (input==3) /* G */ |
447 |
{ |
448 |
if (altitude<=0) |
449 |
{ |
450 |
if (suppress_warnings==0) |
451 |
fprintf(stderr, "Warning: sun altitude < 0, proceed with irradiance values of zero\n"); |
452 |
directirradiance = 0; |
453 |
diffuseirradiance = 0; |
454 |
} else { |
455 |
|
456 |
directirradiance=directirradiance/sin(altitude); |
457 |
} |
458 |
|
459 |
check_irradiances(); |
460 |
skybrightness = sky_brightness(); |
461 |
skyclearness = sky_clearness(); |
462 |
check_parametrization(); |
463 |
|
464 |
if (output==0 || output==2) |
465 |
{ |
466 |
diffuseilluminance = diffuseirradiance*glob_h_diffuse_effi_PEREZ();/*diffuse horizontal illuminance*/ |
467 |
directilluminance = directirradiance*direct_n_effi_PEREZ(); |
468 |
check_illuminances(); |
469 |
} |
470 |
|
471 |
} |
472 |
|
473 |
|
474 |
else if (input==4) /* E */ /* Implementation of the Erbs model. W.Sprenger (04/13) */ |
475 |
{ |
476 |
|
477 |
if (altitude<=0) |
478 |
{ |
479 |
if (suppress_warnings==0 && globalirradiance > 50) |
480 |
fprintf(stderr, "Warning: global irradiance higher than 50 W/m^2 while the sun altitude is lower than zero\n"); |
481 |
globalirradiance = 0; diffuseirradiance = 0; directirradiance = 0; |
482 |
|
483 |
} else { |
484 |
|
485 |
erbs_s0 = solar_constant_e*get_eccentricity()*sin(altitude); |
486 |
|
487 |
if (globalirradiance>erbs_s0) |
488 |
{ |
489 |
if (suppress_warnings==0) |
490 |
fprintf(stderr, "Warning: global irradiance is higher than the time-dependent solar constant s0\n"); |
491 |
globalirradiance=erbs_s0*0.999; |
492 |
} |
493 |
|
494 |
erbs_kt=globalirradiance/erbs_s0; |
495 |
|
496 |
if (erbs_kt<=0.22) diffuseirradiance=globalirradiance*(1-0.09*erbs_kt); |
497 |
else if (erbs_kt<=0.8) diffuseirradiance=globalirradiance*(0.9511-0.1604*erbs_kt+4.388*pow(erbs_kt,2)-16.638*pow(erbs_kt,3)+12.336*pow(erbs_kt,4)); |
498 |
else if (erbs_kt<1) diffuseirradiance=globalirradiance*(0.165); |
499 |
|
500 |
directirradiance=globalirradiance-diffuseirradiance; |
501 |
|
502 |
printf("# erbs_s0, erbs_kt, irr_dir_h, irr_diff: %.3f %.3f %.3f %.3f\n", erbs_s0, erbs_kt, directirradiance, diffuseirradiance); |
503 |
printf("# WARNING: the -E option is only recommended for a rough estimation!\n"); |
504 |
|
505 |
directirradiance=directirradiance/sin(altitude); |
506 |
|
507 |
} |
508 |
|
509 |
check_irradiances(); |
510 |
skybrightness = sky_brightness(); |
511 |
skyclearness = sky_clearness(); |
512 |
check_parametrization(); |
513 |
|
514 |
if (output==0 || output==2) |
515 |
{ |
516 |
diffuseilluminance = diffuseirradiance*glob_h_diffuse_effi_PEREZ();/*diffuse horizontal illuminance*/ |
517 |
directilluminance = directirradiance*direct_n_effi_PEREZ(); |
518 |
check_illuminances(); |
519 |
} |
520 |
|
521 |
} |
522 |
|
523 |
|
524 |
|
525 |
|
526 |
else { fprintf(stderr,"error at the input arguments"); exit(1); } |
527 |
|
528 |
|
529 |
|
530 |
/* normalization factor for the relative sky luminance distribution, diffuse part*/ |
531 |
|
532 |
if ( (lv_mod = malloc(145*sizeof(float))) == NULL) |
533 |
{ |
534 |
fprintf(stderr,"Out of memory in function main"); |
535 |
exit(1); |
536 |
} |
537 |
|
538 |
/* read the angles */ |
539 |
theta_o = defangle_theta; |
540 |
phi_o = defangle_phi; |
541 |
|
542 |
|
543 |
/* parameters for the perez model */ |
544 |
coeff_lum_perez(radians(sunzenith), skyclearness, skybrightness, coeff_perez); |
545 |
|
546 |
|
547 |
|
548 |
/*calculation of the modelled luminance */ |
549 |
for (j=0;j<145;j++) |
550 |
{ |
551 |
theta_phi_to_dzeta_gamma(radians(*(theta_o+j)),radians(*(phi_o+j)),&dzeta,&gamma,radians(sunzenith)); |
552 |
|
553 |
*(lv_mod+j) = calc_rel_lum_perez(dzeta,gamma,radians(sunzenith),skyclearness,skybrightness,coeff_perez); |
554 |
|
555 |
/* fprintf(stderr,"theta, phi, lv_mod %f\t %f\t %f\n", *(theta_o+j),*(phi_o+j),*(lv_mod+j)); */ |
556 |
} |
557 |
|
558 |
/* integration of luminance for the normalization factor, diffuse part of the sky*/ |
559 |
|
560 |
diffnormalization = integ_lv(lv_mod, theta_o); |
561 |
|
562 |
|
563 |
|
564 |
/*normalization coefficient in lumen or in watt*/ |
565 |
if (output==0) |
566 |
{ |
567 |
diffnormalization = diffuseilluminance/diffnormalization/WHTEFFICACY; |
568 |
} |
569 |
else if (output==1) |
570 |
{ |
571 |
diffnormalization = diffuseirradiance/diffnormalization; |
572 |
} |
573 |
else if (output==2) |
574 |
{ |
575 |
diffnormalization = diffuseilluminance/diffnormalization; |
576 |
} |
577 |
|
578 |
else {fprintf(stderr,"Wrong output specification.\n"); exit(1);} |
579 |
|
580 |
|
581 |
|
582 |
|
583 |
/* calculation for the solar source */ |
584 |
if (output==0) |
585 |
solarradiance = directilluminance/(2*M_PI*(1-cos(half_sun_angle*M_PI/180)))/WHTEFFICACY; |
586 |
|
587 |
else if (output==1) |
588 |
solarradiance = directirradiance/(2*M_PI*(1-cos(half_sun_angle*M_PI/180))); |
589 |
|
590 |
else |
591 |
solarradiance = directilluminance/(2*M_PI*(1-cos(half_sun_angle*M_PI/180))); |
592 |
|
593 |
|
594 |
|
595 |
/* Compute the ground radiance */ |
596 |
zenithbr=calc_rel_lum_perez(0.0,radians(sunzenith),radians(sunzenith),skyclearness,skybrightness,coeff_perez); |
597 |
zenithbr*=diffnormalization; |
598 |
|
599 |
if (skyclearness==1) |
600 |
normfactor = 0.777778; |
601 |
|
602 |
if (skyclearness>=6) |
603 |
{ |
604 |
F2 = 0.274*(0.91 + 10.0*exp(-3.0*(M_PI/2.0-altitude)) + 0.45*sundir[2]*sundir[2]); |
605 |
normfactor = normsc()/F2/M_PI; |
606 |
} |
607 |
|
608 |
if ( (skyclearness>1) && (skyclearness<6) ) |
609 |
{ |
610 |
S_INTER=1; |
611 |
F2 = (2.739 + .9891*sin(.3119+2.6*altitude)) * exp(-(M_PI/2.0-altitude)*(.4441+1.48*altitude)); |
612 |
normfactor = normsc()/F2/M_PI; |
613 |
} |
614 |
|
615 |
groundbr = zenithbr*normfactor; |
616 |
|
617 |
if (dosun&&(skyclearness>1)) |
618 |
groundbr += 6.8e-5/M_PI*solarradiance*sundir[2]; |
619 |
|
620 |
groundbr *= gprefl; |
621 |
|
622 |
|
623 |
|
624 |
if(*(c_perez+1)>0) |
625 |
{ |
626 |
if(suppress_warnings==0) |
627 |
{ fprintf(stderr, "Warning: positive Perez parameter B (= %lf), printing error sky\n",*(c_perez+1));} |
628 |
print_error_sky(); |
629 |
exit(0); |
630 |
} |
631 |
|
632 |
|
633 |
return; |
634 |
} |
635 |
|
636 |
|
637 |
|
638 |
|
639 |
|
640 |
double solar_sunset(int month,int day) |
641 |
{ |
642 |
float W; |
643 |
extern double s_latitude; |
644 |
W=-1*(tan(s_latitude)*tan(sdec(jdate(month, day)))); |
645 |
return(12+(M_PI/2 - atan2(W,sqrt(1-W*W)))*180/(M_PI*15)); |
646 |
} |
647 |
|
648 |
|
649 |
|
650 |
|
651 |
double solar_sunrise(int month,int day) |
652 |
{ |
653 |
float W; |
654 |
extern double s_latitude; |
655 |
W=-1*(tan(s_latitude)*tan(sdec(jdate(month, day)))); |
656 |
return(12-(M_PI/2 - atan2(W,sqrt(1-W*W)))*180/(M_PI*15)); |
657 |
} |
658 |
|
659 |
|
660 |
|
661 |
|
662 |
void printsky() |
663 |
{ |
664 |
|
665 |
printf("# Local solar time: %.2f\n", st); |
666 |
printf("# Solar altitude and azimuth: %.1f %.1f\n", altitude*180/M_PI, azimuth*180/M_PI); |
667 |
|
668 |
|
669 |
if (dosun&&(skyclearness>1)) |
670 |
{ |
671 |
printf("\nvoid light solar\n"); |
672 |
printf("0\n0\n"); |
673 |
printf("3 %.3e %.3e %.3e\n", solarradiance, solarradiance, solarradiance); |
674 |
printf("\nsolar source sun\n"); |
675 |
printf("0\n0\n"); |
676 |
printf("4 %f %f %f %f\n", sundir[0], sundir[1], sundir[2], 2*half_sun_angle); |
677 |
} else if (dosun) { |
678 |
printf("\nvoid light solar\n"); |
679 |
printf("0\n0\n"); |
680 |
printf("3 0.0 0.0 0.0\n"); |
681 |
printf("\nsolar source sun\n"); |
682 |
printf("0\n0\n"); |
683 |
printf("4 %f %f %f %f\n", sundir[0], sundir[1], sundir[2], 2*half_sun_angle); |
684 |
} |
685 |
|
686 |
|
687 |
printf("\nvoid brightfunc skyfunc\n"); |
688 |
printf("2 skybright perezlum.cal\n"); |
689 |
printf("0\n"); |
690 |
printf("10 %.3e %.3e %lf %lf %lf %lf %lf %f %f %f \n", diffnormalization, groundbr, |
691 |
*(c_perez+0),*(c_perez+1),*(c_perez+2),*(c_perez+3),*(c_perez+4), |
692 |
sundir[0], sundir[1], sundir[2]); |
693 |
|
694 |
} |
695 |
|
696 |
|
697 |
|
698 |
void print_error_sky() |
699 |
{ |
700 |
|
701 |
|
702 |
sundir[0] = -sin(azimuth)*cos(altitude); |
703 |
sundir[1] = -cos(azimuth)*cos(altitude); |
704 |
sundir[2] = sin(altitude); |
705 |
|
706 |
printf("# Local solar time: %.2f\n", st); |
707 |
printf("# Solar altitude and azimuth: %.1f %.1f\n", altitude*180/M_PI, azimuth*180/M_PI); |
708 |
|
709 |
printf("\nvoid brightfunc skyfunc\n"); |
710 |
printf("2 skybright perezlum.cal\n"); |
711 |
printf("0\n"); |
712 |
printf("10 0.00 0.00 0.000 0.000 0.000 0.000 0.000 %f %f %f \n", sundir[0], sundir[1], sundir[2]); |
713 |
} |
714 |
|
715 |
|
716 |
|
717 |
|
718 |
|
719 |
void printdefaults() /* print default values */ |
720 |
{ |
721 |
printf("-g %f\t\t\t# Ground plane reflectance\n", gprefl); |
722 |
if (zenithbr > 0.0) |
723 |
printf("-b %f\t\t\t# Zenith radiance (watts/ster/m^2\n", zenithbr); |
724 |
else |
725 |
printf("-t %f\t\t\t# Atmospheric betaturbidity\n", betaturbidity); |
726 |
printf("-a %f\t\t\t# Site latitude (degrees)\n", s_latitude*(180/M_PI)); |
727 |
printf("-o %f\t\t\t# Site longitude (degrees)\n", s_longitude*(180/M_PI)); |
728 |
printf("-m %f\t\t\t# Standard meridian (degrees)\n", s_meridian*(180/M_PI)); |
729 |
} |
730 |
|
731 |
|
732 |
|
733 |
|
734 |
void usage_error(char* msg) /* print usage error and quit */ |
735 |
{ |
736 |
if (msg != NULL) |
737 |
fprintf(stderr, "%s: Use error - %s\n\n", progname, msg); |
738 |
fprintf(stderr, "Usage: %s month day hour [...]\n", progname); |
739 |
fprintf(stderr, " or: %s -ang altitude azimuth [...]\n", progname); |
740 |
fprintf(stderr, " followed by: -P epsilon delta [options]\n"); |
741 |
fprintf(stderr, " or: [-W|-L|-G] direct_value diffuse_value [options]\n"); |
742 |
fprintf(stderr, " or: -E global_irradiance [options]\n\n"); |
743 |
fprintf(stderr, " Description:\n"); |
744 |
fprintf(stderr, " -P epsilon delta (these are the Perez parameters) \n"); |
745 |
fprintf(stderr, " -W direct-normal-irradiance diffuse-horizontal-irradiance (W/m^2)\n"); |
746 |
fprintf(stderr, " -L direct-normal-illuminance diffuse-horizontal-illuminance (lux)\n"); |
747 |
fprintf(stderr, " -G direct-horizontal-irradiance diffuse-horizontal-irradiance (W/m^2)\n"); |
748 |
fprintf(stderr, " -E global-horizontal-irradiance (W/m^2)\n\n"); |
749 |
fprintf(stderr, " Output specification with option:\n"); |
750 |
fprintf(stderr, " -O [0|1|2] (0=output in W/m^2/sr visible, 1=output in W/m^2/sr solar, 2=output in candela/m^2), default is 0 \n"); |
751 |
fprintf(stderr, " gendaylit version 2.4 (2013/09/04) \n\n"); |
752 |
exit(1); |
753 |
} |
754 |
|
755 |
|
756 |
|
757 |
|
758 |
double normsc() /* compute normalization factor (E0*F2/L0) */ |
759 |
{ |
760 |
static double nfc[2][5] = { |
761 |
/* clear sky approx. */ |
762 |
{2.766521, 0.547665, -0.369832, 0.009237, 0.059229}, |
763 |
/* intermediate sky approx. */ |
764 |
{3.5556, -2.7152, -1.3081, 1.0660, 0.60227}, |
765 |
}; |
766 |
register double *nf; |
767 |
double x, nsc; |
768 |
register int i; |
769 |
/* polynomial approximation */ |
770 |
nf = nfc[S_INTER]; |
771 |
x = (altitude - M_PI/4.0)/(M_PI/4.0); |
772 |
nsc = nf[i=4]; |
773 |
while (i--) |
774 |
nsc = nsc*x + nf[i]; |
775 |
|
776 |
return(nsc); |
777 |
} |
778 |
|
779 |
|
780 |
|
781 |
|
782 |
|
783 |
void printhead(int ac, char** av) /* print command header */ |
784 |
{ |
785 |
putchar('#'); |
786 |
while (ac--) { |
787 |
putchar(' '); |
788 |
fputs(*av++, stdout); |
789 |
} |
790 |
putchar('\n'); |
791 |
} |
792 |
|
793 |
|
794 |
|
795 |
|
796 |
|
797 |
|
798 |
/* Perez models */ |
799 |
|
800 |
/* Perez global horizontal luminous efficacy model */ |
801 |
double glob_h_effi_PEREZ() |
802 |
{ |
803 |
|
804 |
double value; |
805 |
double category_bounds[10], a[10], b[10], c[10], d[10]; |
806 |
int category_total_number, category_number, i; |
807 |
|
808 |
check_parametrization(); |
809 |
|
810 |
|
811 |
/*if ((skyclearness<skyclearinf || skyclearness>skyclearsup || skybrightness<skybriginf || skybrightness>skybrigsup) && suppress_warnings==0) |
812 |
fprintf(stderr, "Warning: skyclearness or skybrightness out of range in function glob_h_effi_PEREZ \n"); */ |
813 |
|
814 |
|
815 |
/* initialize category bounds (clearness index bounds) */ |
816 |
|
817 |
category_total_number = 8; |
818 |
|
819 |
category_bounds[1] = 1; |
820 |
category_bounds[2] = 1.065; |
821 |
category_bounds[3] = 1.230; |
822 |
category_bounds[4] = 1.500; |
823 |
category_bounds[5] = 1.950; |
824 |
category_bounds[6] = 2.800; |
825 |
category_bounds[7] = 4.500; |
826 |
category_bounds[8] = 6.200; |
827 |
category_bounds[9] = 12.01; |
828 |
|
829 |
|
830 |
/* initialize model coefficients */ |
831 |
a[1] = 96.63; |
832 |
a[2] = 107.54; |
833 |
a[3] = 98.73; |
834 |
a[4] = 92.72; |
835 |
a[5] = 86.73; |
836 |
a[6] = 88.34; |
837 |
a[7] = 78.63; |
838 |
a[8] = 99.65; |
839 |
|
840 |
b[1] = -0.47; |
841 |
b[2] = 0.79; |
842 |
b[3] = 0.70; |
843 |
b[4] = 0.56; |
844 |
b[5] = 0.98; |
845 |
b[6] = 1.39; |
846 |
b[7] = 1.47; |
847 |
b[8] = 1.86; |
848 |
|
849 |
c[1] = 11.50; |
850 |
c[2] = 1.79; |
851 |
c[3] = 4.40; |
852 |
c[4] = 8.36; |
853 |
c[5] = 7.10; |
854 |
c[6] = 6.06; |
855 |
c[7] = 4.93; |
856 |
c[8] = -4.46; |
857 |
|
858 |
d[1] = -9.16; |
859 |
d[2] = -1.19; |
860 |
d[3] = -6.95; |
861 |
d[4] = -8.31; |
862 |
d[5] = -10.94; |
863 |
d[6] = -7.60; |
864 |
d[7] = -11.37; |
865 |
d[8] = -3.15; |
866 |
|
867 |
|
868 |
|
869 |
for (i=1; i<=category_total_number; i++) |
870 |
{ |
871 |
if ( (skyclearness >= category_bounds[i]) && (skyclearness < category_bounds[i+1]) ) |
872 |
category_number = i; |
873 |
} |
874 |
|
875 |
value = a[category_number] + b[category_number]*atm_preci_water + |
876 |
c[category_number]*cos(sunzenith*M_PI/180) + d[category_number]*log(skybrightness); |
877 |
|
878 |
return(value); |
879 |
} |
880 |
|
881 |
|
882 |
|
883 |
|
884 |
/* global horizontal diffuse efficacy model, according to PEREZ */ |
885 |
double glob_h_diffuse_effi_PEREZ() |
886 |
{ |
887 |
double value; |
888 |
double category_bounds[10], a[10], b[10], c[10], d[10]; |
889 |
int category_total_number, category_number, i; |
890 |
|
891 |
check_parametrization(); |
892 |
|
893 |
|
894 |
/*if ((skyclearness<skyclearinf || skyclearness>skyclearsup || skybrightness<skybriginf || skybrightness>skybrigsup) && suppress_warnings==0) |
895 |
fprintf(stderr, "Warning: skyclearness or skybrightness out of range in function glob_h_diffuse_PEREZ \n"); */ |
896 |
|
897 |
/* initialize category bounds (clearness index bounds) */ |
898 |
|
899 |
category_total_number = 8; |
900 |
|
901 |
//XXX: category_bounds > 0.1 |
902 |
category_bounds[1] = 1; |
903 |
category_bounds[2] = 1.065; |
904 |
category_bounds[3] = 1.230; |
905 |
category_bounds[4] = 1.500; |
906 |
category_bounds[5] = 1.950; |
907 |
category_bounds[6] = 2.800; |
908 |
category_bounds[7] = 4.500; |
909 |
category_bounds[8] = 6.200; |
910 |
category_bounds[9] = 12.01; |
911 |
|
912 |
|
913 |
/* initialize model coefficients */ |
914 |
a[1] = 97.24; |
915 |
a[2] = 107.22; |
916 |
a[3] = 104.97; |
917 |
a[4] = 102.39; |
918 |
a[5] = 100.71; |
919 |
a[6] = 106.42; |
920 |
a[7] = 141.88; |
921 |
a[8] = 152.23; |
922 |
|
923 |
b[1] = -0.46; |
924 |
b[2] = 1.15; |
925 |
b[3] = 2.96; |
926 |
b[4] = 5.59; |
927 |
b[5] = 5.94; |
928 |
b[6] = 3.83; |
929 |
b[7] = 1.90; |
930 |
b[8] = 0.35; |
931 |
|
932 |
c[1] = 12.00; |
933 |
c[2] = 0.59; |
934 |
c[3] = -5.53; |
935 |
c[4] = -13.95; |
936 |
c[5] = -22.75; |
937 |
c[6] = -36.15; |
938 |
c[7] = -53.24; |
939 |
c[8] = -45.27; |
940 |
|
941 |
d[1] = -8.91; |
942 |
d[2] = -3.95; |
943 |
d[3] = -8.77; |
944 |
d[4] = -13.90; |
945 |
d[5] = -23.74; |
946 |
d[6] = -28.83; |
947 |
d[7] = -14.03; |
948 |
d[8] = -7.98; |
949 |
|
950 |
|
951 |
|
952 |
category_number = -1; |
953 |
for (i=1; i<=category_total_number; i++) |
954 |
{ |
955 |
if ( (skyclearness >= category_bounds[i]) && (skyclearness < category_bounds[i+1]) ) |
956 |
category_number = i; |
957 |
} |
958 |
|
959 |
if (category_number == -1) { |
960 |
if (suppress_warnings==0) |
961 |
fprintf(stderr, "Warning: sky clearness (= %.3f) too high, printing error sky\n", skyclearness); |
962 |
print_error_sky(); |
963 |
exit(0); |
964 |
} |
965 |
|
966 |
|
967 |
value = a[category_number] + b[category_number]*atm_preci_water + c[category_number]*cos(sunzenith*M_PI/180) + |
968 |
d[category_number]*log(skybrightness); |
969 |
|
970 |
return(value); |
971 |
|
972 |
} |
973 |
|
974 |
|
975 |
|
976 |
|
977 |
|
978 |
|
979 |
/* direct normal efficacy model, according to PEREZ */ |
980 |
|
981 |
double direct_n_effi_PEREZ() |
982 |
|
983 |
{ |
984 |
double value; |
985 |
double category_bounds[10], a[10], b[10], c[10], d[10]; |
986 |
int category_total_number, category_number, i; |
987 |
|
988 |
|
989 |
/*if ((skyclearness<skyclearinf || skyclearness>skyclearsup || skybrightness<skybriginf || skybrightness>skybrigsup) && suppress_warnings==0) |
990 |
fprintf(stderr, "Warning: skyclearness or skybrightness out of range in function direct_n_effi_PEREZ \n");*/ |
991 |
|
992 |
|
993 |
/* initialize category bounds (clearness index bounds) */ |
994 |
|
995 |
category_total_number = 8; |
996 |
|
997 |
category_bounds[1] = 1; |
998 |
category_bounds[2] = 1.065; |
999 |
category_bounds[3] = 1.230; |
1000 |
category_bounds[4] = 1.500; |
1001 |
category_bounds[5] = 1.950; |
1002 |
category_bounds[6] = 2.800; |
1003 |
category_bounds[7] = 4.500; |
1004 |
category_bounds[8] = 6.200; |
1005 |
category_bounds[9] = 12.1; |
1006 |
|
1007 |
|
1008 |
/* initialize model coefficients */ |
1009 |
a[1] = 57.20; |
1010 |
a[2] = 98.99; |
1011 |
a[3] = 109.83; |
1012 |
a[4] = 110.34; |
1013 |
a[5] = 106.36; |
1014 |
a[6] = 107.19; |
1015 |
a[7] = 105.75; |
1016 |
a[8] = 101.18; |
1017 |
|
1018 |
b[1] = -4.55; |
1019 |
b[2] = -3.46; |
1020 |
b[3] = -4.90; |
1021 |
b[4] = -5.84; |
1022 |
b[5] = -3.97; |
1023 |
b[6] = -1.25; |
1024 |
b[7] = 0.77; |
1025 |
b[8] = 1.58; |
1026 |
|
1027 |
c[1] = -2.98; |
1028 |
c[2] = -1.21; |
1029 |
c[3] = -1.71; |
1030 |
c[4] = -1.99; |
1031 |
c[5] = -1.75; |
1032 |
c[6] = -1.51; |
1033 |
c[7] = -1.26; |
1034 |
c[8] = -1.10; |
1035 |
|
1036 |
d[1] = 117.12; |
1037 |
d[2] = 12.38; |
1038 |
d[3] = -8.81; |
1039 |
d[4] = -4.56; |
1040 |
d[5] = -6.16; |
1041 |
d[6] = -26.73; |
1042 |
d[7] = -34.44; |
1043 |
d[8] = -8.29; |
1044 |
|
1045 |
|
1046 |
|
1047 |
for (i=1; i<=category_total_number; i++) |
1048 |
{ |
1049 |
if ( (skyclearness >= category_bounds[i]) && (skyclearness < category_bounds[i+1]) ) |
1050 |
category_number = i; |
1051 |
} |
1052 |
|
1053 |
value = a[category_number] + b[category_number]*atm_preci_water + c[category_number]*exp(5.73*sunzenith*M_PI/180 - 5) + d[category_number]*skybrightness; |
1054 |
|
1055 |
if (value < 0) value = 0; |
1056 |
|
1057 |
return(value); |
1058 |
} |
1059 |
|
1060 |
|
1061 |
/*check the range of epsilon and delta indexes of the perez parametrization*/ |
1062 |
void check_parametrization() |
1063 |
{ |
1064 |
|
1065 |
if (skyclearness<skyclearinf || skyclearness>skyclearsup || skybrightness<skybriginf || skybrightness>skybrigsup) |
1066 |
{ |
1067 |
|
1068 |
/* limit sky clearness or sky brightness, 2009 11 13 by J. Wienold */ |
1069 |
|
1070 |
if (skyclearness<skyclearinf){ |
1071 |
/* if (suppress_warnings==0) |
1072 |
fprintf(stderr,"Range warning: sky clearness too low (%lf)\n", skyclearness); */ |
1073 |
skyclearness=skyclearinf; |
1074 |
} |
1075 |
if (skyclearness>skyclearsup){ |
1076 |
/* if (suppress_warnings==0) |
1077 |
fprintf(stderr,"Range warning: sky clearness too high (%lf)\n", skyclearness); */ |
1078 |
skyclearness=skyclearsup-0.001; |
1079 |
} |
1080 |
if (skybrightness<skybriginf){ |
1081 |
/* if (suppress_warnings==0) |
1082 |
fprintf(stderr,"Range warning: sky brightness too low (%lf)\n", skybrightness); */ |
1083 |
skybrightness=skybriginf; |
1084 |
} |
1085 |
if (skybrightness>skybrigsup){ |
1086 |
/* if (suppress_warnings==0) |
1087 |
fprintf(stderr,"Range warning: sky brightness too high (%lf)\n", skybrightness); */ |
1088 |
skybrightness=skybrigsup; |
1089 |
} |
1090 |
|
1091 |
return; } |
1092 |
else return; |
1093 |
} |
1094 |
|
1095 |
|
1096 |
|
1097 |
|
1098 |
|
1099 |
/* validity of the direct and diffuse components */ |
1100 |
void check_illuminances() |
1101 |
{ |
1102 |
if (directilluminance < 0) { |
1103 |
if(suppress_warnings==0) |
1104 |
{ fprintf(stderr,"Warning: direct illuminance < 0. Using 0.0\n"); } |
1105 |
directilluminance = 0.0; |
1106 |
} |
1107 |
if (diffuseilluminance < 0) { |
1108 |
if(suppress_warnings==0) |
1109 |
{ fprintf(stderr,"Warning: diffuse illuminance < 0. Using 0.0\n"); } |
1110 |
diffuseilluminance = 0.0; |
1111 |
} |
1112 |
|
1113 |
if (directilluminance+diffuseilluminance==0 && altitude > 0) { |
1114 |
if(suppress_warnings==0) |
1115 |
{ fprintf(stderr,"Warning: zero illuminance at sun altitude > 0, printing error sky\n"); } |
1116 |
print_error_sky(); |
1117 |
exit(0); |
1118 |
} |
1119 |
|
1120 |
if (directilluminance > solar_constant_l) { |
1121 |
if(suppress_warnings==0) |
1122 |
{ fprintf(stderr,"Warning: direct illuminance exceeds solar constant\n"); } |
1123 |
print_error_sky(); |
1124 |
exit(0); |
1125 |
} |
1126 |
} |
1127 |
|
1128 |
|
1129 |
void check_irradiances() |
1130 |
{ |
1131 |
if (directirradiance < 0) { |
1132 |
if(suppress_warnings==0) |
1133 |
{ fprintf(stderr,"Warning: direct irradiance < 0. Using 0.0\n"); } |
1134 |
directirradiance = 0.0; |
1135 |
} |
1136 |
if (diffuseirradiance < 0) { |
1137 |
if(suppress_warnings==0) |
1138 |
{ fprintf(stderr,"Warning: diffuse irradiance < 0. Using 0.0\n"); } |
1139 |
diffuseirradiance = 0.0; |
1140 |
} |
1141 |
|
1142 |
if (directirradiance+diffuseirradiance==0 && altitude > 0) { |
1143 |
if(suppress_warnings==0) |
1144 |
{ fprintf(stderr,"Warning: zero irradiance at sun altitude > 0, printing error sky\n"); } |
1145 |
print_error_sky(); |
1146 |
exit(0); |
1147 |
} |
1148 |
|
1149 |
if (directirradiance > solar_constant_e) { |
1150 |
if(suppress_warnings==0) |
1151 |
{ fprintf(stderr,"Warning: direct irradiance exceeds solar constant\n"); } |
1152 |
print_error_sky(); |
1153 |
exit(0); |
1154 |
} |
1155 |
} |
1156 |
|
1157 |
|
1158 |
|
1159 |
/* Perez sky's brightness */ |
1160 |
double sky_brightness() |
1161 |
{ |
1162 |
double value; |
1163 |
|
1164 |
value = diffuseirradiance * air_mass() / ( solar_constant_e*get_eccentricity()); |
1165 |
|
1166 |
return(value); |
1167 |
} |
1168 |
|
1169 |
|
1170 |
/* Perez sky's clearness */ |
1171 |
double sky_clearness() |
1172 |
{ |
1173 |
double value; |
1174 |
|
1175 |
value = ( (diffuseirradiance + directirradiance)/(diffuseirradiance) + 1.041*sunzenith*M_PI/180*sunzenith*M_PI/180*sunzenith*M_PI/180 ) / (1 + 1.041*sunzenith*M_PI/180*sunzenith*M_PI/180*sunzenith*M_PI/180) ; |
1176 |
|
1177 |
return(value); |
1178 |
} |
1179 |
|
1180 |
|
1181 |
|
1182 |
/* diffus horizontal irradiance from Perez sky's brightness */ |
1183 |
double diffuse_irradiance_from_sky_brightness() |
1184 |
{ |
1185 |
double value; |
1186 |
|
1187 |
value = skybrightness / air_mass() * ( solar_constant_e*get_eccentricity()); |
1188 |
|
1189 |
return(value); |
1190 |
} |
1191 |
|
1192 |
|
1193 |
/* direct normal irradiance from Perez sky's clearness */ |
1194 |
double direct_irradiance_from_sky_clearness() |
1195 |
{ |
1196 |
double value; |
1197 |
|
1198 |
value = diffuse_irradiance_from_sky_brightness(); |
1199 |
value = value * ( (skyclearness-1) * (1+1.041*sunzenith*M_PI/180*sunzenith*M_PI/180*sunzenith*M_PI/180) ); |
1200 |
|
1201 |
return(value); |
1202 |
} |
1203 |
|
1204 |
|
1205 |
|
1206 |
|
1207 |
void illu_to_irra_index() |
1208 |
{ |
1209 |
double test1=0.1, test2=0.1, d_eff; |
1210 |
int counter=0; |
1211 |
|
1212 |
diffuseirradiance = diffuseilluminance*solar_constant_e/(solar_constant_l); |
1213 |
directirradiance = directilluminance*solar_constant_e/(solar_constant_l); |
1214 |
skyclearness = sky_clearness(); |
1215 |
skybrightness = sky_brightness(); |
1216 |
check_parametrization(); |
1217 |
|
1218 |
|
1219 |
while ( ((fabs(diffuseirradiance-test1)>10) || (fabs(directirradiance-test2)>10) |
1220 |
|| (!(skyclearness<skyclearinf || skyclearness>skyclearsup)) |
1221 |
|| (!(skybrightness<skybriginf || skybrightness>skybrigsup)) ) |
1222 |
&& !(counter==9) ) |
1223 |
{ |
1224 |
|
1225 |
test1=diffuseirradiance; |
1226 |
test2=directirradiance; |
1227 |
counter++; |
1228 |
|
1229 |
diffuseirradiance = diffuseilluminance/glob_h_diffuse_effi_PEREZ(); |
1230 |
d_eff = direct_n_effi_PEREZ(); |
1231 |
|
1232 |
|
1233 |
if (d_eff < 0.1) |
1234 |
directirradiance = 0; |
1235 |
else |
1236 |
directirradiance = directilluminance/d_eff; |
1237 |
|
1238 |
skybrightness = sky_brightness(); |
1239 |
skyclearness = sky_clearness(); |
1240 |
check_parametrization(); |
1241 |
|
1242 |
} |
1243 |
|
1244 |
|
1245 |
return; |
1246 |
} |
1247 |
|
1248 |
static int get_numlin(float epsilon) |
1249 |
{ |
1250 |
if (epsilon < 1.065) |
1251 |
return 0; |
1252 |
else if (epsilon < 1.230) |
1253 |
return 1; |
1254 |
else if (epsilon < 1.500) |
1255 |
return 2; |
1256 |
else if (epsilon < 1.950) |
1257 |
return 3; |
1258 |
else if (epsilon < 2.800) |
1259 |
return 4; |
1260 |
else if (epsilon < 4.500) |
1261 |
return 5; |
1262 |
else if (epsilon < 6.200) |
1263 |
return 6; |
1264 |
return 7; |
1265 |
} |
1266 |
|
1267 |
/* sky luminance perez model */ |
1268 |
double calc_rel_lum_perez(double dzeta,double gamma,double Z,double epsilon,double Delta,float coeff_perez[]) |
1269 |
{ |
1270 |
|
1271 |
float x[5][4]; |
1272 |
int i,j,num_lin; |
1273 |
double c_perez[5]; |
1274 |
|
1275 |
if ( (epsilon < skyclearinf) || (epsilon >= skyclearsup) ) |
1276 |
{ |
1277 |
fprintf(stderr,"Error: epsilon out of range in function calc_rel_lum_perez!\n"); |
1278 |
exit(1); |
1279 |
} |
1280 |
|
1281 |
/* correction de modele de Perez solar energy ...*/ |
1282 |
if ( (epsilon > 1.065) && (epsilon < 2.8) ) |
1283 |
{ |
1284 |
if ( Delta < 0.2 ) Delta = 0.2; |
1285 |
} |
1286 |
|
1287 |
|
1288 |
num_lin = get_numlin(epsilon); |
1289 |
|
1290 |
for (i=0;i<5;i++) |
1291 |
for (j=0;j<4;j++) |
1292 |
{ |
1293 |
x[i][j] = *(coeff_perez + 20*num_lin + 4*i +j); |
1294 |
/* fprintf(stderr,"x %d %d vaut %f\n",i,j,x[i][j]); */ |
1295 |
} |
1296 |
|
1297 |
|
1298 |
if (num_lin) |
1299 |
{ |
1300 |
for (i=0;i<5;i++) |
1301 |
c_perez[i] = x[i][0] + x[i][1]*Z + Delta * (x[i][2] + x[i][3]*Z); |
1302 |
} |
1303 |
else |
1304 |
{ |
1305 |
c_perez[0] = x[0][0] + x[0][1]*Z + Delta * (x[0][2] + x[0][3]*Z); |
1306 |
c_perez[1] = x[1][0] + x[1][1]*Z + Delta * (x[1][2] + x[1][3]*Z); |
1307 |
c_perez[4] = x[4][0] + x[4][1]*Z + Delta * (x[4][2] + x[4][3]*Z); |
1308 |
c_perez[2] = exp( pow(Delta*(x[2][0]+x[2][1]*Z),x[2][2])) - x[2][3]; |
1309 |
c_perez[3] = -exp( Delta*(x[3][0]+x[3][1]*Z) )+x[3][2]+Delta*x[3][3]; |
1310 |
} |
1311 |
|
1312 |
|
1313 |
return (1 + c_perez[0]*exp(c_perez[1]/cos(dzeta)) ) * |
1314 |
(1 + c_perez[2]*exp(c_perez[3]*gamma) + |
1315 |
c_perez[4]*cos(gamma)*cos(gamma) ); |
1316 |
} |
1317 |
|
1318 |
|
1319 |
|
1320 |
/* coefficients for the sky luminance perez model */ |
1321 |
void coeff_lum_perez(double Z, double epsilon, double Delta, float coeff_perez[]) |
1322 |
{ |
1323 |
float x[5][4]; |
1324 |
int i,j,num_lin; |
1325 |
|
1326 |
if ( (epsilon < skyclearinf) || (epsilon >= skyclearsup) ) |
1327 |
{ |
1328 |
fprintf(stderr,"Error: epsilon out of range in function coeff_lum_perez!\n"); |
1329 |
exit(1); |
1330 |
} |
1331 |
|
1332 |
/* correction du modele de Perez solar energy ...*/ |
1333 |
if ( (epsilon > 1.065) && (epsilon < 2.8) ) |
1334 |
{ |
1335 |
if ( Delta < 0.2 ) Delta = 0.2; |
1336 |
} |
1337 |
|
1338 |
|
1339 |
num_lin = get_numlin(epsilon); |
1340 |
|
1341 |
/*fprintf(stderr,"numlin %d\n", num_lin);*/ |
1342 |
|
1343 |
for (i=0;i<5;i++) |
1344 |
for (j=0;j<4;j++) |
1345 |
{ |
1346 |
x[i][j] = *(coeff_perez + 20*num_lin + 4*i +j); |
1347 |
/* printf("x %d %d vaut %f\n",i,j,x[i][j]); */ |
1348 |
} |
1349 |
|
1350 |
|
1351 |
if (num_lin) |
1352 |
{ |
1353 |
for (i=0;i<5;i++) |
1354 |
*(c_perez+i) = x[i][0] + x[i][1]*Z + Delta * (x[i][2] + x[i][3]*Z); |
1355 |
|
1356 |
} |
1357 |
else |
1358 |
{ |
1359 |
*(c_perez+0) = x[0][0] + x[0][1]*Z + Delta * (x[0][2] + x[0][3]*Z); |
1360 |
*(c_perez+1) = x[1][0] + x[1][1]*Z + Delta * (x[1][2] + x[1][3]*Z); |
1361 |
*(c_perez+4) = x[4][0] + x[4][1]*Z + Delta * (x[4][2] + x[4][3]*Z); |
1362 |
*(c_perez+2) = exp( pow(Delta*(x[2][0]+x[2][1]*Z),x[2][2])) - x[2][3]; |
1363 |
*(c_perez+3) = -exp( Delta*(x[3][0]+x[3][1]*Z) )+x[3][2]+Delta*x[3][3]; |
1364 |
|
1365 |
|
1366 |
} |
1367 |
|
1368 |
|
1369 |
return; |
1370 |
} |
1371 |
|
1372 |
|
1373 |
|
1374 |
/* degrees into radians */ |
1375 |
double radians(double degres) |
1376 |
{ |
1377 |
return degres*M_PI/180.0; |
1378 |
} |
1379 |
|
1380 |
|
1381 |
/* radian into degrees */ |
1382 |
double degres(double radians) |
1383 |
{ |
1384 |
return radians/M_PI*180.0; |
1385 |
} |
1386 |
|
1387 |
|
1388 |
/* calculation of the angles dzeta and gamma */ |
1389 |
void theta_phi_to_dzeta_gamma(double theta,double phi,double *dzeta,double *gamma, double Z) |
1390 |
{ |
1391 |
*dzeta = theta; /* dzeta = phi */ |
1392 |
if ( (cos(Z)*cos(theta)+sin(Z)*sin(theta)*cos(phi)) > 1 && (cos(Z)*cos(theta)+sin(Z)*sin(theta)*cos(phi) < 1.1 ) ) |
1393 |
*gamma = 0; |
1394 |
else if ( (cos(Z)*cos(theta)+sin(Z)*sin(theta)*cos(phi)) > 1.1 ) |
1395 |
{ |
1396 |
printf("error in calculation of gamma (angle between point and sun"); |
1397 |
exit(1); |
1398 |
} |
1399 |
else |
1400 |
*gamma = acos(cos(Z)*cos(theta)+sin(Z)*sin(theta)*cos(phi)); |
1401 |
} |
1402 |
|
1403 |
|
1404 |
|
1405 |
double integ_lv(float *lv,float *theta) |
1406 |
{ |
1407 |
int i; |
1408 |
double buffer=0.0; |
1409 |
|
1410 |
for (i=0;i<145;i++) |
1411 |
{ |
1412 |
buffer += (*(lv+i))*cos(radians(*(theta+i))); |
1413 |
} |
1414 |
|
1415 |
return buffer*2*M_PI/144; |
1416 |
} |
1417 |
|
1418 |
|
1419 |
|
1420 |
/* enter day number(double), return E0 = square(R0/R): eccentricity correction factor */ |
1421 |
|
1422 |
double get_eccentricity() |
1423 |
{ |
1424 |
double day_angle; |
1425 |
double E0; |
1426 |
|
1427 |
day_angle = 2*M_PI*(daynumber - 1)/365; |
1428 |
E0 = 1.00011+0.034221*cos(day_angle)+0.00128*sin(day_angle)+ |
1429 |
0.000719*cos(2*day_angle)+0.000077*sin(2*day_angle); |
1430 |
|
1431 |
return (E0); |
1432 |
} |
1433 |
|
1434 |
|
1435 |
/* enter sunzenith angle (degrees) return relative air mass (double) */ |
1436 |
double air_mass() |
1437 |
{ |
1438 |
double m; |
1439 |
if (sunzenith>90) |
1440 |
{ |
1441 |
if(suppress_warnings==0) |
1442 |
{ fprintf(stderr, "Warning: air mass has reached the maximal value\n"); } |
1443 |
sunzenith=90; |
1444 |
} |
1445 |
m = 1/( cos(sunzenith*M_PI/180)+0.15*exp( log(93.885-sunzenith)*(-1.253) ) ); |
1446 |
return(m); |
1447 |
} |
1448 |
|
1449 |
|
1450 |
|