1、 S/, 2011, 25( 1) : 53 55Jou rnal of Anhui Science and Technology Universityl : 2010 - 12- 24 “: 8O1 S “( KJ2010B300 )bTe:fE( 1978- ), 3, 8 E , V, =,1V YK ZEb y g ?张家昕,仇海全,卢中其( S/ , 233100)K 1:本文提出了一种优化的城市路灯排列设计方法b利用该方法优化出的路灯交错排列方式,与现在普遍采用的对称排列方式相比,在满足人们对交通和正常生活工作要求的条件下,可以达到节能的目标b1oM:路灯优化;照明强度;节能ms
2、|: O221. 1 DS M : A cI|: 1673- 8772( 2011) 01- 0053- 03Research on StreetLampsOptimization and Energy- savingBased onMathematicalModelingZHANG Jia- xin, Q IU H ai- quan, LU Zhong- qi( College of Science, Anhu i Science and TechnologyUn iversity, Fengyang 233100, Ch ina)Abstract: An optim ization des
3、ign m ethod of street lamps is proposed. By using th is m ethod, a staggered arrange-m en t of street lam ps is optim ally provided. Com pared to now w idely adopted symm etrical arrangem en,t the stag-gered arrangem ent can not on ly m eat people. s needs in traffic and daily life, but also ach iev
4、e the goal of savingenergy.Keywords: Street lam ps optim ization; Illum ination intensity; Energy- saving“S 6?Z,S = v g v 4 1 pb !Z , CA1 v9 S !9b “ -vs P H ,7 !9Z T vV,V, ( b vV H,|;# ? n; vV H,Y b1YVy ,4 B g !9ZEb ZE p Z T( ),C R Z TM1, V Y 3T1 pHq/,Vr ? “Sb1 y 1. 1 BVv l:$;Lv 8G ;W Z ;Lg bL ! , q
5、, m1 U:o , BAo r,5 A;L : I= pr2 + h2,Av 3: c= IsinA= ph(r2 + h2) 32.v Y Vn,v c0, V 8 Vn,yN v c0 u: c0 F ph(r2 + h2 ) 32,r2 F (phc0) 32 - h2.N H,rKv Hq/, P Vn u Kv, s= P (phc0) 32 - h2 .1. 2 V 5V M # Op ,rKv Hq/, PM # WlKvb ! (h, q (p, VW l, zd. LX, Wo, 6BVo L_y,o, Lz,y bWUS“b m2 U: A(x,y, 0)v :c2 =
6、phx2 + (y- d)2 + h2 32+ ph (x- 0. 5l)2 + y2 + h2 32+ ph(x+ 0. 5l)2 + y2 + h2 32( 1) v c0 uc0Fc2, :max ls. t.phx2 + (y- d)2 + h2 32+ ph(x- 0. 5l)2 + y2 + h2 32+ ph(x+ 0. 5l)2 + y2 + h2 32E c0c0 = 35w /m2;d= 10m;p= 1500w; h, lE 0V v g (,m2 V, I no1( f ), vKl| o1o2Loo3 o1o3LbLoo3 vKl| V M,N H Vb7o1o3 v
7、KlA Cb * / 11 o1 B,C vl Vb v, L=vl, H I nvKlBvKvC0 Vb/ L !o1B d1,o1o3C d2bm2#s,o1B d1 / T:d21 = l14 + y2 + h2y= d+ d2 + 2l24d= 10lE 0 d21 = 5l216 +d(d+ d2 + 2l28 +l216+ h2 E 5l216+d24 +l216+ h2o1o1o3C d2 d22 = d24 +l216+ h2b1 T0 V y :d1 Ed2b I n BvvKvVbN HB(o, y, 0)B A(x, y, 0)x= 0 H, v KlbN HB V g,
8、 Oydal 1“(y- d)2 + h2 = l24 + y2 + h2,yI 0,d ( 2)( 2) TMy= d+ d2 + 2l24 , yI 0, d ( 3)B(x,y, 0)ph( d2 + 2l2 - 3d4 ) + h2 32+ ph ( d2 + 2l2 + d4 ) + h2 32E c0 ( 4) (4) T u, 1h, ldL? ub !9 “S rK54 S/ 2011 M v f /,N H W rKvlb1. 3 H 5I nv ( ,L ! p . ! (M, O (h, W l, zd. m3 U:L !# V :max lst.ph(x2+ y2+ h
9、2)32+ ph(x- l2) + y2+ h232+ ph (x+ l2) + y2 + h232+ ph(x - 0. 5l2) + (y- d) 2 + h232+ ph(x + 0. 5l2) + (y- d) 2 + h232E c0c0= 35w/m 2;d= 10m,p= 1500w; h, lE 0; V , 1a2a3Av Kl, W lv zd, I n1a2a3a45| VAv F, Yl, H9 I n5, | b 5a1a4 Lx,1|o, 2a3o Ly,Vo Oxoy Lzy bWUS“b USsY:B( 0, 0, h),C - 12,d,h ,D 12,d,
10、h ,E(l, 0,h) ,F( - 1, 0, h) . VAD =AB,N Hl24 + (y- d)2 + h2 = y2 + h2,yI 0,d.! 1a2a3a4a5AFv c3,5c3 = 2ph l24 + (l28d-d2 )2 + h2 32+ 2phl2 + ( l28d+d2 )2 + h2 32+ 2ph( l28d+d2 )2 + h2 32E c0 ( 5)m1 BVv Uimm2 Vv Uimm3 H v Uim2 k# TYVMATLAB LCb | p= 1500,d= 10, h= 6b p f ,M # WW Kvl= 22. 0572m; f ,M # WW Kvl= 12. 8036mb1 Z T/T, 4 p Z T/, V 8 !r30%,9 ?30%P,N H Vr“v rTb p Z TA Z Tb ID: 1Svx.S g v C J.v, 2002, ( 11): 6- 7. 2f . g v ?) J.S S/p , 2009, ( 7): 90. 3. 5 J. Ll M, 2004, ( 1) : 1- 6. 4b,fa.B g !9ZE J. , 2007, ( 4): 330- 333.(3 I : 窦 鹏)55 25 1 fE, y g ?
