* Direct calculation for cumulative distribution example written by Eugene Preston 12/15/2015. * DCPj.for calculates the LOLP of 10 randomly outaged generators for a given MW load level IX. * It differs from DCPi.for in that all real*4 instead of real*8 numbers are used - to save memory. * The F(X) is inverted and reversed. F(X=0)=LOLP @ PMX F(PMX-X)=LOLP @ X MW LOAD REAL F(-1:1000)/1.,1001*0./ REAL FOR(10,2)/.15,.10,.09,.07,.06,.05,.04,.04,.03,.03,8*.0,2*.01/ ! derated states have 1% pr INTEGER PMAX(10,2)/5,10,13,22,43,57,101,198,248,276,8*0,2*90/,PMX ! the 90 MW is a derating PMX=0 DO 1 I=1,10 PMX=PMX+PMAX(I,1) DO 1 IX=1000,0,-1 J1=IX-PMAX(I,1) ! shift the fully outage FOR state to the right J1 amount J2=IX-PMAX(I,2) ! shift the derated power state to the right J2 amount IF(J1.LT.-1) J1=-1 ! this effectively captures F(J1=X<0)=1 for Pr of J1 shift IF(J2.LT.-1) J2=-1 ! this effectively captures F(J2=X<0)=1 for Pr of J2 shift D4=1.-FOR(I,1)-FOR(I,2) ! the probability of full power at Pmax F(IX)= D4*F(IX) ! the full power state is not shifted to the right F(IX)=F(IX)+FOR(I,1)*F(J1) ! the full outage state is shifted to the right J1 1 F(IX)=F(IX)+FOR(I,2)*F(J2) ! the partial power state is shifted to the right J2 OPEN(3,FILE='OP') WRITE(3,*) ' MW 1 - F(X) F(X) = LOLP' WRITE(3,'(I4,F12.8,8X,F12.8)') & (PMX-IX,1.D0-F(IX),F(IX),IX=PMX,-1,-1) STOP END MW 1 - F(X) F(X) = LOLP 0 1.00000000 0.00000000 1 1.00000000 0.00000000 2 1.00000000 0.00000000 3 1.00000000 0.00000000 4 1.00000000 0.00000000 5 1.00000000 0.00000000 6 1.00000000 0.00000000 7 1.00000000 0.00000000 8 1.00000000 0.00000000 9 1.00000000 0.00000000 10 1.00000000 0.00000000 11 1.00000000 0.00000000 12 1.00000000 0.00000000 13 1.00000000 0.00000000 14 1.00000000 0.00000000 15 1.00000000 0.00000000 16 1.00000000 0.00000000 17 1.00000000 0.00000000 18 1.00000000 0.00000000 19 1.00000000 0.00000000 20 1.00000000 0.00000000 21 1.00000000 0.00000000 22 1.00000000 0.00000000 23 1.00000000 0.00000000 24 1.00000000 0.00000000 25 1.00000000 0.00000000 26 1.00000000 0.00000000 27 1.00000000 0.00000000 28 1.00000000 0.00000000 29 1.00000000 0.00000000 30 1.00000000 0.00000000 31 1.00000000 0.00000000 32 1.00000000 0.00000000 33 1.00000000 0.00000000 34 1.00000000 0.00000000 35 1.00000000 0.00000000 36 1.00000000 0.00000000 37 1.00000000 0.00000000 38 1.00000000 0.00000000 39 1.00000000 0.00000000 40 1.00000000 0.00000000 41 1.00000000 0.00000000 42 1.00000000 0.00000000 43 1.00000000 0.00000000 44 1.00000000 0.00000000 45 1.00000000 0.00000000 46 1.00000000 0.00000000 47 1.00000000 0.00000000 48 1.00000000 0.00000000 49 1.00000000 0.00000000 50 1.00000000 0.00000000 51 1.00000000 0.00000000 52 1.00000000 0.00000000 53 1.00000000 0.00000000 54 1.00000000 0.00000000 55 1.00000000 0.00000000 56 1.00000000 0.00000000 57 1.00000000 0.00000000 58 1.00000000 0.00000000 59 1.00000000 0.00000000 60 1.00000000 0.00000000 61 1.00000000 0.00000000 62 0.99999999 0.00000001 63 0.99999999 0.00000001 64 0.99999999 0.00000001 65 0.99999999 0.00000001 66 0.99999999 0.00000001 67 0.99999999 0.00000001 68 0.99999999 0.00000001 69 0.99999999 0.00000001 70 0.99999999 0.00000001 71 0.99999999 0.00000001 72 0.99999999 0.00000001 73 0.99999999 0.00000001 74 0.99999999 0.00000001 75 0.99999999 0.00000001 76 0.99999999 0.00000001 77 0.99999999 0.00000001 78 0.99999999 0.00000001 79 0.99999999 0.00000001 80 0.99999999 0.00000001 81 0.99999998 0.00000002 82 0.99999998 0.00000002 83 0.99999998 0.00000002 84 0.99999998 0.00000002 85 0.99999998 0.00000002 86 0.99999997 0.00000003 87 0.99999997 0.00000003 88 0.99999997 0.00000003 89 0.99999997 0.00000003 90 0.99999996 0.00000004 91 0.99999996 0.00000004 92 0.99999996 0.00000004 93 0.99999996 0.00000004 94 0.99999992 0.00000008 95 0.99999991 0.00000009 96 0.99999991 0.00000009 97 0.99999991 0.00000009 98 0.99999991 0.00000009 99 0.99999991 0.00000009 100 0.99999991 0.00000009 101 0.99999991 0.00000009 102 0.99999991 0.00000009 103 0.99999990 0.00000010 104 0.99999990 0.00000010 105 0.99999990 0.00000010 106 0.99999990 0.00000010 107 0.99999990 0.00000010 108 0.99999985 0.00000015 109 0.99999985 0.00000015 110 0.99999985 0.00000015 111 0.99999984 0.00000016 112 0.99999984 0.00000016 113 0.99999984 0.00000016 114 0.99999984 0.00000016 115 0.99999984 0.00000016 116 0.99999984 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155 0.99999845 0.00000155 156 0.99999845 0.00000155 157 0.99999845 0.00000155 158 0.99999845 0.00000155 159 0.99999845 0.00000155 160 0.99999844 0.00000156 161 0.99999844 0.00000156 162 0.99999844 0.00000156 163 0.99999844 0.00000156 164 0.99999843 0.00000157 165 0.99999843 0.00000157 166 0.99999843 0.00000157 167 0.99999843 0.00000157 168 0.99999842 0.00000158 169 0.99999842 0.00000158 170 0.99999842 0.00000158 171 0.99999842 0.00000158 172 0.99999840 0.00000160 173 0.99999832 0.00000168 174 0.99999831 0.00000169 175 0.99999831 0.00000169 176 0.99999831 0.00000169 177 0.99999829 0.00000171 178 0.99999829 0.00000171 179 0.99999829 0.00000171 180 0.99999827 0.00000173 181 0.99999826 0.00000174 182 0.99999814 0.00000186 183 0.99999814 0.00000186 184 0.99999814 0.00000186 185 0.99999802 0.00000198 186 0.99999801 0.00000199 187 0.99999791 0.00000209 188 0.99999791 0.00000209 189 0.99999791 0.00000209 190 0.99999773 0.00000227 191 0.99999771 0.00000229 192 0.99999771 0.00000229 193 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270 0.99996370 0.00003630 271 0.99996369 0.00003631 272 0.99996369 0.00003631 273 0.99996369 0.00003631 274 0.99996366 0.00003634 275 0.99996366 0.00003634 276 0.99996366 0.00003634 277 0.99996363 0.00003637 278 0.99996362 0.00003638 279 0.99996350 0.00003650 280 0.99996349 0.00003651 281 0.99996348 0.00003652 282 0.99996336 0.00003664 283 0.99996335 0.00003665 284 0.99996325 0.00003675 285 0.99996325 0.00003675 286 0.99996324 0.00003676 287 0.99996303 0.00003697 288 0.99996301 0.00003699 289 0.99996299 0.00003701 290 0.99996299 0.00003701 291 0.99996296 0.00003704 292 0.99996191 0.00003809 293 0.99996178 0.00003822 294 0.99996174 0.00003826 295 0.99996174 0.00003826 296 0.99996157 0.00003843 297 0.99996157 0.00003843 298 0.99996157 0.00003843 299 0.99996145 0.00003855 300 0.99996144 0.00003856 301 0.99996122 0.00003878 302 0.99996121 0.00003879 303 0.99996121 0.00003879 304 0.99996115 0.00003885 305 0.99996113 0.00003887 306 0.99995985 0.00004015 307 0.99995984 0.00004016 308 0.99995984 0.00004016 309 0.99995954 0.00004046 310 0.99995950 0.00004050 311 0.99995950 0.00004050 312 0.99995947 0.00004053 313 0.99995946 0.00004054 314 0.99995930 0.00004070 315 0.99995925 0.00004075 316 0.99995924 0.00004076 317 0.99995907 0.00004093 318 0.99995905 0.00004095 319 0.99995903 0.00004097 320 0.99995892 0.00004108 321 0.99995887 0.00004113 322 0.99995858 0.00004142 323 0.99995855 0.00004145 324 0.99995849 0.00004151 325 0.99995848 0.00004152 326 0.99995826 0.00004174 327 0.99995659 0.00004341 328 0.99995646 0.00004354 329 0.99995630 0.00004370 330 0.99995630 0.00004370 331 0.99995592 0.00004408 332 0.99995568 0.00004432 333 0.99995566 0.00004434 334 0.99995514 0.00004486 335 0.99995509 0.00004491 336 0.99995311 0.00004689 337 0.99995243 0.00004757 338 0.99995236 0.00004764 339 0.99995013 0.00004987 340 0.99994991 0.00005009 341 0.99994988 0.00005012 342 0.99994848 0.00005152 343 0.99994825 0.00005175 344 0.99994471 0.00005529 345 0.99994440 0.00005560 346 0.99994421 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385 0.99989635 0.00010365 386 0.99989372 0.00010628 387 0.99989340 0.00010660 388 0.99988844 0.00011156 389 0.99988495 0.00011505 390 0.99988459 0.00011541 391 0.99988459 0.00011541 392 0.99988367 0.00011633 393 0.99985841 0.00014159 394 0.99985068 0.00014932 395 0.99984952 0.00015048 396 0.99984950 0.00015050 397 0.99984544 0.00015456 398 0.99984540 0.00015460 399 0.99981871 0.00018129 400 0.99981539 0.00018461 401 0.99981536 0.00018464 402 0.99980995 0.00019005 403 0.99980986 0.00019014 404 0.99980956 0.00019044 405 0.99980596 0.00019404 406 0.99980570 0.00019430 407 0.99977506 0.00022494 408 0.99977481 0.00022519 409 0.99977434 0.00022566 410 0.99976700 0.00023300 411 0.99976663 0.00023337 412 0.99976608 0.00023392 413 0.99976532 0.00023468 414 0.99976269 0.00023731 415 0.99975877 0.00024123 416 0.99975782 0.00024218 417 0.99975480 0.00024520 418 0.99975055 0.00024945 419 0.99975055 0.00024945 420 0.99975000 0.00025000 421 0.99974747 0.00025253 422 0.99974153 0.00025847 423 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730 0.93611725 0.06388275 731 0.93610033 0.06389967 732 0.93609983 0.06390017 733 0.93479365 0.06520635 734 0.93479364 0.06520636 735 0.93478885 0.06521115 736 0.93476179 0.06523821 737 0.93475899 0.06524101 738 0.93475779 0.06524221 739 0.93472756 0.06527244 740 0.93470035 0.06529965 741 0.93454710 0.06545290 742 0.93454710 0.06545290 743 0.93454654 0.06545346 744 0.93437537 0.06562463 745 0.93437523 0.06562477 746 0.93437309 0.06562691 747 0.93437304 0.06562696 748 0.93433020 0.06566980 749 0.93405812 0.06594188 750 0.93405737 0.06594263 751 0.93404523 0.06595477 752 0.93404494 0.06595506 753 0.93382011 0.06617989 754 0.93228001 0.06771999 755 0.93227798 0.06772202 756 0.93227226 0.06772774 757 0.93227173 0.06772827 758 0.93191329 0.06808671 759 0.93191288 0.06808712 760 0.93190140 0.06809860 761 0.93146776 0.06853224 762 0.93146472 0.06853528 763 0.92943355 0.07056645 764 0.92943355 0.07056645 765 0.92942611 0.07057389 766 0.92715189 0.07284811 767 0.92715118 0.07284882 768 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0.09824288 807 0.90174277 0.09825723 808 0.90164448 0.09835552 809 0.90162961 0.09837039 810 0.90162961 0.09837039 811 0.90143958 0.09856042 812 0.90140623 0.09859377 813 0.90140496 0.09859504 814 0.90134303 0.09865697 815 0.90131743 0.09868257 816 0.90024058 0.09975942 817 0.90005159 0.09994841 818 0.90004441 0.09995559 819 0.89999526 0.10000474 <- LOLP=.1 820 0.89985016 0.10014984 821 0.89985016 0.10014984 822 0.89975514 0.10024486 823 0.89974076 0.10025924 824 0.89974052 0.10025948 825 0.89951005 0.10048995 826 0.89949724 0.10050276 827 0.89895882 0.10104118 828 0.89887732 0.10112268 829 0.89887595 0.10112405 830 0.89756998 0.10243002 831 0.89749742 0.10250258 832 0.89749742 0.10250258 833 0.89747054 0.10252946 834 0.89746688 0.10253312 835 0.89746688 0.10253312 836 0.89732145 0.10267855 837 0.89731902 0.10268098 838 0.89716671 0.10283329 839 0.89714596 0.10285404 840 0.89714596 0.10285404 841 0.89632187 0.10367813 842 0.89630807 0.10369193 843 0.89630807 0.10369193 844 0.89629463 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0.79534100 0.20465900 922 0.79534100 0.20465900 923 0.79534100 0.20465900 924 0.79526934 0.20473066 925 0.79526934 0.20473066 926 0.78973816 0.21026184 927 0.78973816 0.21026184 928 0.78973816 0.21026184 929 0.78933202 0.21066798 930 0.78933202 0.21066798 931 0.75798865 0.24201135 932 0.75798865 0.24201135 933 0.75798865 0.24201135 934 0.75734358 0.24265642 935 0.75734358 0.24265642 936 0.75734358 0.24265642 937 0.75661884 0.24338116 938 0.75661884 0.24338116 939 0.75296342 0.24703658 940 0.75296342 0.24703658 941 0.75296342 0.24703658 942 0.74885669 0.25114331 943 0.74885669 0.25114331 944 0.74885669 0.25114331 945 0.74885669 0.25114331 946 0.74790445 0.25209555 947 0.74138203 0.25861797 948 0.74138203 0.25861797 949 0.74138203 0.25861797 950 0.74138203 0.25861797 951 0.73598590 0.26401410 952 0.69902545 0.30097455 953 0.69902545 0.30097455 954 0.69902545 0.30097455 955 0.69902545 0.30097455 956 0.69045517 0.30954483 957 0.69045517 0.30954483 958 0.69045517 0.30954483 959 0.68082681 0.31917319 960 0.68082681 0.31917319 961 0.63226181 0.36773819 962 0.63226181 0.36773819 963 0.63226181 0.36773819 964 0.57770118 0.42229882 965 0.57770118 0.42229882 966 0.57770118 0.42229882 967 0.57770118 0.42229882 968 0.57770118 0.42229882 969 0.49104595 0.50895405 970 0.49104595 0.50895405 971 0.49104595 0.50895405 972 0.49104595 0.50895405 973 0.49104595 0.50895405 974 0.00000000 1.00000000