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Автоматизация проектирования изделий электронной техники (курсовая)

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Курсовая работа

Автоматизация проектирования изделий электронной техники

Введение

Основные задачи развития технологии электрического монтажа – это
увеличение плотности компоновки элементов, обеспечение режима
согласования линий связи и равномерного распределения потенциалов
питания между активными элементами электронных устройств. Оптимальным
средством решения этих задач является печатный монтаж благодаря таким
его преимуществам перед другими методами монтажа, как компактность
конструкций изделий на печатных платах, автоматизации проектирования
соединений, что позволяет составлять программы управления
технологическим и контрольным оборудованием.

Автоматизация проектирования изделий электронной техники, исходя из
степени однородности задач и методов их решения в процессе
проектирования изделия, подразделяется на следующие четыре этапа:

– системотехническое проектирование, при котором выбираются и
формулируются цели проектирования, формируется структура будущего
изделия, определяются его основные технико-экономические характеристики;

– функциональное (схемотехническое) проектирование, в ходе которого
выбирается функционально-логическая база, разрабатываются принципиальные
электрические схемы изделий электронной техники в целом и ее составных
частей, оптимизируются ее параметры;

– техническое (конструкторское) проектирование, которое решает задачи
синтеза конструкций изделия в целом, определяет компоновку и размещение,
разрабатывает топологию электрических соединений;

– проектирование технологических процессов, которое предусматривает
определение состава технологического оборудования для изготовления
печатной платы, подготовку необходимых организационно-технических
мероприятий, связанных с обеспечением функционирования технологических
линий изготовления печатных плат, и разработки правил подготовки проекта
печатной платы для ее изготовления в единичном, мелкосерийном и
крупносерийном вариантах.

1.Разбиение функциональных элементов по корпусам микросхем

Общее описание алгоритма.

Общая схема процесса последовательной компановки по связности имеет
следующий вид.

Пусть дана схема соединения элементовов множеств
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.

Определим последовательный процесс назначения элементов
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в узлы
Br(picscalex1000100090000030a0100000200150000000000050000000902000000000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)
,на каждом шаге которого выбирается один из неразделенных элементов и
приписывается очередному узлу.

Узел считается завершенным, если число элементов в узле равно зачетному
числу K.

После завершения очередного узла аналогичная процедура повторяется для
следующего узла, причем кандидатами для назначения являются элементы не
включенные в предыдущие узлы. Процесс заканчивается когда все элементы
из множества E распределены.

Исходные данные являются:

-электрическая схема устройства.

-максимально допустимое число элементов в модуле.

Электрическую схему удобно представлять графом G=(E,V) , где множество
вершин Е соответствует элементам эл-ой схемы, а множество ребер V
–эл-ким связям между элементами. В таком виде задача компоновки может
быть сформулирована как задача разрезания графа G=(E,V) на множество
подграфов

Gr=(Er,Vr) ,где
r=1,2,3…picscalex1000100090000038800000002001200000000000500000009020000
00000400000002010100050000000102ffffff00040000002e0118000500000031020100
0000050000000b0200000000050000000c02a00140011200000026060f001a00ffffffff
000010000000c0ffffff2600000000010000c60100000b00000026060f000c004d617468
547970650000500010000000fb0280fe0000000000009001010000020002001053796d62
6f6c0002040000002d01000008000000320a000122000100000067000a00000026060f00
0a00ffffffff01000000000010000000fb021000070000000000bc02000000cc01020222
53797374656d00cc040000002d01010004000000f0010000030000000000.

В каждом подграфе число вершин соответственно Er должно не превосходить
ранее заданного ограничения на число элементовов в узле К. Для любого
разбиения должны выполняться следующие условия:

picscalex10001000900000343010000020015000000000005000000090200000000040
0000002010100050000000102ffffff00040000002e01180005000000310201000000050
000000b0200000000050000000c02a00480061200000026060f001a00ffffffff0000100
00000c0ffffffabffffff400600004b0400000b00000026060f000c004d6174685479706
50000000115000000fb0280fe0000000000009001010000000402001054696d6573204e6
57720526f6d616e000086040000002d01000008000000320aa0021a05010000004700080
00000320aa002cc0102000000477210000000fb0280fe000000000000900100000002000
2001053796d626f6c0002040000002d01010004000000f001000008000000320aa002ee0
3010000003d0010000000fb0220ff0000000000009001000000020002001053796d626f6
c0002040000002d01000004000000f001010008000000320a1804cb00010000003d00110
00000fb02c0fd000000000000900100000002040200104d5420457874726100020400000
02d01010004000000f001000008000000320af9022e0001000000550010000000fb0220f
f0000000000009001010000020002001053796d626f6c0002040000002d0100000400000
0f001010008000000320a0001a40001000000670008000000320a1804380001000000670
015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526
f6d616e000086040000002d01010004000000f001000008000000320a18043a010100000
031000a00000026060f000a00ffffffff01000000000010000000fb02100007000000000
0bc02000000cc0102022253797374656d00cc040000002d01000004000000f0010100030
000000000 (1)
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; (2)
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 (3)

При проведении компоновки без учета ограничения на кол-во внешних
выводов в узле все модули, кроме последнего, будут иметь полное
заполнение . и последнее условие примет вид
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 (4)

Пошаговое описание алгоритма.

Шаг 1.

Формирование очередного подграфа
Gr(r=1,2,3…picscalex1000100090000038800000002001200000000000500000009020
00000000400000002010100050000000102ffffff00040000002e0118000500000031020
1000000050000000b0200000000050000000c02a00140011200000026060f001a00fffff
fff000010000000c0ffffff2600000000010000c60100000b00000026060f000c004d617
468547970650000500010000000fb0280fe0000000000009001010000020002001053796
d626f6c0002040000002d01000008000000320a000122000100000067000a00000026060
f000a00ffffffff01000000000010000000fb021000070000000000bc02000000cc01020
22253797374656d00cc040000002d01010004000000f0010000030000000000)
начинается с выбора базовой вершины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 из множества
нераспределенных вершин Ir . В начале процесса все вершины считаются
нераспределенными, т.е. Ir=E.Критерием выбора вершины на роль базовой
является ее степень
picscalex100010009000003880000000200120000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02a00180011200000026060f001a00ffffffff00001000
0000c0ffffff2600000040010000c60100000b00000026060f000c004d61746854797065
0000500010000000fb0280fe0000000000009001010000020002001053796d626f6c0002
040000002d01000008000000320a00014c000100000072000a00000026060f000a00ffff
ffff01000000000010000000fb021000070000000000bc02000000cc0102022253797374
656d00cc040000002d01010004000000f0010000030000000000(picscalex1000100090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) (под степенью вершины графа будем понимать
кол-во ребер данного графа, инцидентных ей). Выбор происходит в
соответствии со следующим условием:
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 (5)

Базовая вершина будет первой по порядку вершиной подграфа Gr(Er,Vr), а
оставшиеся вершины, принадлежащие множеству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, являются
кандидатами для включения в подграф Gr на последующих шагах алгоритма.

Базовая вершина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 является, во-первых, как бы
“центром” группирования, к которому прибавляются новые вершины,
во-вторых, центром факторизации.

Шаг 2.

Из множества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 выделяется подмножество
Г(picscalex100010009000003ce00000002001500000000000500000009020000000004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) вершин, связанных с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.Шаг 3.

Для эл-та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введем функционал:

L(x)=picscalex1000100090000035901000003001500000000000500000009020000000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 (6)

определяющий число цепей , связывающих вершину X и вершины из множества
Г и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.Для упрощения записей
будем отождествлять элемент (множество элементов).для формального
вычисления функционала будем пользоваться формулой:
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 (7)

где
picscalex100010009000003da0000000200150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c026002a0021200000026060f001a00ffffffff00001000
0000c0ffffffb7ffffff60020000170200000b00000026060f000c004d61746854797065
0000600010000000fb0280fe0000000000009001010000020002001053796d626f6c0002
040000002d01000008000000320aa001940101000000650015000000fb0220ff00000000
00009001010000000402001054696d6573204e657720526f6d616e0000a8040000002d01
010004000000f001000008000000320af400210101000000720008000000320a00020401
01000000690015000000fb0280fe0000000000009001010000000402001054696d657320
4e657720526f6d616e0000a8040000002d01000004000000f001010008000000320aa001
3a000100000061000a00000026060f000a00ffffffff01000000000010000000fb021000
070000000000bc02000000cc0102022253797374656d00cc040000002d01010004000000
f0010000030000000000-число связей между вершинами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 и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.

Шаг 4.

Из всех вершин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 выбирается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 такая, у
которой значение функционала минимально. Очевидно,что вершина для
которой это условие будет выполняться , максимально связана с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. Эта вершина
включается во множество Еr вершин Gr.

Множество вершин подграфа Gr приобретает следующий вид:
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где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 , а верхний индекс в обозначении
picscalex100010009000003d70000000200150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c024002e0011200000026060f001a00ffffffff00001000
0000c0ffffffb7ffffffa0010000f70100000b00000026060f000c004d61746854797065
0000500015000000fb0220ff0000000000009001000000000402001054696d6573204e65
7720526f6d616e00008b040000002d01000008000000320af4004a010100000031001500
0000fb0220ff0000000000009001010000000402001054696d6573204e657720526f6d61
6e00008b040000002d01010004000000f001000008000000320a00024201010000007200
15000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f
6d616e00008b040000002d01000004000000f001010008000000320aa001460001000000
45000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000
bc02000000cc0102022253797374656d00cc040000002d01010004000000f00100000300
00000000 в общем случае указывает кол-во шагов выборки.

Шаг 5.

Происходит стягивание вершин подграфа Gr в вершину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.Этот процесс далее будем
называть факторизацией, вершину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 – центром факторизации, а
кол-во вершин стянутых в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,кроме него самого, степенью
факторизации.

Центр факторизации со степенью факторизации
picscalex100010009000003880000000200120000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02c00160011200000026060f001a00ffffffff00001000
0000c0ffffffc6ffffff20010000860100000b00000026060f000c004d61746854797065
0000300010000000fb0280fe0000000000009001010000020002001053796d626f6c0002
040000002d01000008000000320a60013400010000006c000a00000026060f000a00ffff
ffff01000000000010000000fb021000070000000000bc02000000cc0102022253797374
656d00cc040000002d01010004000000f0010000030000000000,отличной от нуля,
будем обозначать
символомpicscalex1000100090000033801000002001500000000000500000009020000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 и называть гипервершиной
степени
picscalex100010009000003880000000200120000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02c00160011200000026060f001a00ffffffff00001000
0000c0ffffffc6ffffff20010000860100000b00000026060f000c004d61746854797065
0000300010000000fb0280fe0000000000009001010000020002001053796d626f6c0002
040000002d01000008000000320a60013400010000006c000a00000026060f000a00ffff
ffff01000000000010000000fb021000070000000000bc02000000cc0102022253797374
656d00cc040000002d01010004000000f0010000030000000000.

После данного процесса множество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 преобразуют
в одноэлементное множество
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 содержащее гипервершину степени
picscalex100010009000003880000000200120000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02c00160011200000026060f001a00ffffffff00001000
0000c0ffffffc6ffffff20010000860100000b00000026060f000c004d61746854797065
0000300010000000fb0280fe0000000000009001010000020002001053796d626f6c0002
040000002d01000008000000320a60013400010000006c000a00000026060f000a00ffff
ffff01000000000010000000fb021000070000000000bc02000000cc0102022253797374
656d00cc040000002d01010004000000f0010000030000000000.

В указанных обозначениях первый процесс факторизации запишется следующим
образом:
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.

В общем случае на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ом шаге выборки все указанные
преобразования будут иметь вид:
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.

picscalex100010009000003880000000200120000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02600140011200000026060f001a00ffffffff00001000
0000c0ffffff2600000000010000860100000b00000026060f000c004d61746854797065
0000300010000000fb0280fe0000000000009001010000020002001053796d626f6c0002
040000002d01000008000000320a00010400010000006e000a00000026060f000a00ffff
ffff01000000000010000000fb021000070000000000bc02000000cc0102022253797374
656d00cc040000002d01010004000000f0010000030000000000=1,2,3…,Кс-1 ,где
Кс-допустимая мощность множества вершин формируемого подграфа (кол-во
элементов в конструктивном узле).

Шаг 6.

Действия описанные в шагах 2,3,4,5, повторяются до полного заполнения
формируемого модуля.

Далее весь процесс повторяется до тех пор, пока не будет сформирован
(picscalex10001000900000388000000020012000000000005000000090200000000040
0000002010100050000000102ffffff00040000002e01180005000000310201000000050
000000b0200000000050000000c02a00140011200000026060f001a00ffffffff0000100
00000c0ffffff2600000000010000c60100000b00000026060f000c004d6174685479706
50000500010000000fb0280fe0000000000009001010000020002001053796d626f6c000
2040000002d01000008000000320a000122000100000067000a00000026060f000a00fff
fffff01000000000010000000fb021000070000000000bc02000000cc010202225379737
4656d00cc040000002d01010004000000f0010000030000000000-1) модуль.
Последний же
picscalex100010009000003880000000200120000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02a00140011200000026060f001a00ffffffff00001000
0000c0ffffff2600000000010000c60100000b00000026060f000c004d61746854797065
0000500010000000fb0280fe0000000000009001010000020002001053796d626f6c0002
040000002d01000008000000320a000122000100000067000a00000026060f000a00ffff
ffff01000000000010000000fb021000070000000000bc02000000cc0102022253797374
656d00cc040000002d01010004000000f0010000030000000000-й полностью
включает в себя множество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, так как
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.

Выполнение компоновки.

В данной электрической функциональной схеме элементы типа И-НЕ заменим
элементами 2И-НЕ, в целях уменьшения количества микросхем и
себестоимости платы. Данную электрическую функциональную схему разбиваем
на 3 блока. Далее выполняем компоновку для каждого блока, для чего
представляем их в виде графов, где множеству вершин соответствуют
элементы электрической схемы блока, а множество ребер электрическим
связям между этими элементами.

Расчеты для первого блока:

Чертим граф для элементов типа 3И-НЕ:
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fdffffd9f1ffefff9fefeffff362ffffbff37feeff3f7fdfffffffffffffffffffffffff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Рис.1

Составляем матрицу смежности

Т1Т2Т3Т4Т5Т6Т7Т8Т9Т10Т11pТ1002001200106Т2000110012005Т3200001100105Т4010
020011005Т5010201012007Т6101010110117Т7201001010106Т8010111101118Т902012
0010107Т10101001111017Т11000001010103

За базисную принимаем максимально связанную вершину, т.е. Т8. Она
связана с вершинами Т2, Т4, Т5, Т6, Т7, Т9, Т10, Т11.Считаем функционал:

F2=5-1=4; F4=5-1=4; F5=7-1=6; F6=7-1=6;

F7=6-1=5; F9=7-1=6; F10=7-1=6; F11=3-1=2.

Выбираем Т11 т.к. F11 минимально

Т1Т2Т3Т4Т5Т6Т7Т9Т10Т811pТ100200120106Т200011002015Т320000110105Т40100200
1015Т501020102017Т610101010127Т720100100116Т902012000117Т1010100111027Т8
11000001001211За базисную принимаем максимально связанную вершину, т.е.
Т811. Она связана с вершинами Т2, Т4, Т5, Т6, Т7, Т9, Т10.Считаем
функционал:

F2=5-1=4; F4=5-1=4; F5=7-1=6; F6=7-2=5;

F7=6-1=5; F9=7-1=6; F10=7-2=5.

Выбираем Т2 т.к. F2 минимально и с минимальным порядковым номером.

Т1Т3Т4Т5Т6Т7Т9Т10Т2811pТ10200120106Т32000110105Т40002001025Т50020102027Т
61101010127Т72100100116Т90012000137Т101100111027Т281100001001416

В результате проведения процесса последовательной компоновки
конструктивных узлов РЭА, получили электрическую принципиальную схему
состоящую из четырёх микросхем К155ЛА4 , DD1=2,8,11, DD2=4,5,9,
DD3=1,3,6, DD4=7,10;трёх К155ЛА3 DD5=3,7,8,9,DD6=1,2,4,6, DD7=5,10,
четырёх К155ЛР1 DD8=4,6, DD9=2,7, DD10=3,5, DD11=1.

Схема электрическая принципиальная приведена в приложении 1. По этой
схеме построим граф (рис. 2).
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ccb5baa3e38132b69ae47b34a28d52ed5516cffa3902df462aeae15b6f38c0280805e011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ffffc7ff136b7fbfffffffffffffffffffffffffffffffffffffffffffffffffffffffff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Рис.2

2. Размещение элементов на плате

2.1 Краткое описание алгоритма последовательной установки элементов РЭА

Алгоритм последовательной установки РЭА не требует первоначального
размещения элементов. Сущность этого этапа состоит в последовательном
закреплении элементов РЭА на монтажной плате относительно каких-либо
ранее закрепленных элементов. При этом из числа не размещенных элементов
выбирается тот элемент, для которого характеристика, связанная с длиной
связи относительно ранее размещенных элементов, оказывается наилучшей. В
качестве первоначально закрепленных на монтажной плоскости
конструктивных элементов обычно выбирают разъемы. В связи с этим на
монтажной плоте первыми размещаются элементы, имеющие максимальное
количество связей с разъемами.

Вся площадь платы разбивается координатной сеткой на отдельные ячейки,
линейные размеры которых больше или равны установочным размерам
элементов. Вершины графа, соответствующие разъему, отображаются на
подмножество мест, расположенных на одном из краев монтажной платы.
Очередная вершина выбирается по максимальному количеству связей с уже
размещенными вершинами, и помещаются в свободную соседнюю позицию или в
такую позицию из числа свободных, которая обеспечивает минимальную длину
связей между размещаемой вершиной и уже размещенными вершинами графа.

В качестве исходных данных необходимо ввести данные о модели монтажной
платы.

Ограничения на расположения элементов, на расположение разъема, а так же
данные о связях между размещенными элементами.

В качестве критерия выбора очередного элемента, подлежащего установке на
плате, используется коэффициент относительной взвешенности связности:
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, (8)

где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-количество связей i-ого элемента с установленным ранее на плате j-ым
элементом , порядковый номер которого-m;

g -количество уже закрепленных на плате элементов;

Vi –общее число связей I-ого элемента со всеми остальными элементами
множества X.

Последовательность работы алгоритма:

Формируется массив номеров элементов и подготавливается (обнуляется)
массив установочных мест.

Выбираем за исходное размещение местонахождение разъема и элементов,
закрепляемых на установочных местах платы по требованию разработчика.

В множестве размещаемых элементов, обнуляем элементы размещенные по
требованию разработчика.

Выбираем из множества N еще не размещенный элемент,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 для которого значение Ki максимально. Если ряд
элементов имеет одинаковое значение Ki , то выбираем элемент с
минимальным порядковым номером.

Для множества незанятых позиций ряда определяем позицию, закрепление
которой элемента Ni приводит к минимальному приращению функции цели.
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 (9)

где dij – элемент матрицы расстояний.

Общее суммарное расстояние от закрепляемого элемента к закрепленным
будет минимальным. Проверяем не является ли данная позиция областью,
запрещенной для размещения элементов.

Производим закрепление элемента Ni за свободной позицией ряда, в которой
обеспечивается минимальное приращение функции цели.

Проверяем все ли элементы размещены на плате, если нет, то переходим к
пункту 4.

Выполнение размещения

DD1DD2DD3DD4DD5DD6DD7DD8DD9DD10DD11X1pDD107237322213335DD270113706000328
DD321072622001326DD431701424001330DD5732101250200335DD6376412060000442DD
720225600010119DD8262400001092035DD9200020010090023DD1010000019900020DD1
13011000200029X133333410002021

По графу (рис.2) строим матрицу смежности и определяем степень каждой
вершины.

Составляем модель монтажной платы:

1

2

5

8

11

3

6

9

12

4

7

10

13Рис3

Затем по модели монтажной платы составляем матрицу расстояний.

12345678910111213p101112223334443021012123234345313110121232343427412103
214325433152123012123234266221210121232322723212103214322683234123012123
279332321210121223103432321210321271143452341230122912443432321210130134
54343232121034

2.2.1 В качестве первого размещённого элемента примем разъём Х1 (позиция
1)

Рассчитываем коэффициенты относительной внешней связанности по формуле
(8).
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picscalex100010009000003360100000300150000000000050000000902000000000400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picscalex100010009000003370100000300150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02c009c0101200000026060f001a00ffffffff00001000
0000c0ffffffb6ffffff80100000760900000b00000026060f000c004d61746854797065
0000200209000000fa02000010000000000000002200040000002d010000050000001402
2003ab050500000013022003430815000000fb0280fd0000000000009001000000000402
001054696d6573204e657720526f6d616e0000ac040000002d01010009000000320ac003
cf0c030000003131350008000000320ac0032f0c010000002e0008000000320ac003ef0a
01000000300008000000320aac05c10502000000323608000000320a3402610601000000
330015000000fb0280fe0000000000009001000000000402001054696d6573204e657720
526f6d616e0000ac040000002d01020004000000f001010008000000320a600401020100
0000330010000000fb0280fd0000000000009001000000020002001053796d626f6c0002
040000002d01010004000000f001020008000000320ac003f908010000003d0008000000
320ac003a103010000003d0015000000fb0280fd0000000000009001010000cc04020010
54696d6573204e657720526f6d616e00ccac040000002d01020004000000f00101000800
0000320ac0030e0001000000d4000a00000026060f000a00ffffffff0100000000001000
0000fb021000070000000000bc02000000cc0102022253797374656d00cc040000002d01
010004000000f0010200030000000000

picscalex100010009000003360100000300150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02c009e00d1200000026060f001a00ffffffff00001000
0000c0ffffffb6ffffffa00d0000760900000b00000026060f000c004d61746854797065
0000200209000000fa02000010000000000000002200040000002d010000050000001402
2003a60505000000130220032a0815000000fb0280fd0000000000009001000000000402
001054696d6573204e657720526f6d616e0000c3040000002d01010008000000320ac003
930c01000000310008000000320ac003f30b010000002e0008000000320ac003b30a0100
0000300008000000320aad05a80502000000333008000000320a34025206010000003300
15000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f
6d616e0000c3040000002d01020004000000f001010008000000320a6004100201000000
340010000000fb0280fd0000000000009001000000020002001053796d626f6c00020400
00002d01010004000000f001020008000000320ac003cf08010000003d0008000000320a
c003ae03010000003d0015000000fb0280fd0000000000009001010000cc040200105469
6d6573204e657720526f6d616e00ccc3040000002d01020004000000f001010008000000
320ac0030e0001000000d4000a00000026060f000a00ffffffff01000000000010000000
fb021000070000000000bc02000000cc0102022253797374656d00cc040000002d010100
04000000f0010200030000000000
picscalex100010009000003370100000300150000000000050000000902000000000400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picscalex100010009000003370100000300150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c020006c0101200000026060f001a00ffffffff00001000
0000c0ffffffb6ffffff80100000b60500000b00000026060f000c004d61746854797065
0000200109000000fa02000010000000000000002200040000002d010000050000001402
2003bd050500000013022003550815000000fb0280fd0000000000009001000000000402
001054696d6573204e657720526f6d616e000083040000002d01010009000000320ac003
e10c030000003039350008000000320ac003410c010000002e0008000000320ac003010b
01000000300008000000320aac05d30502000000343208000000320a3402730601000000
340015000000fb0280fe0000000000009001000000000402001054696d6573204e657720
526f6d616e000083040000002d01020004000000f001010008000000320a600407020100
0000360010000000fb0280fd0000000000009001000000020002001053796d626f6c0002
040000002d01010004000000f001020008000000320ac0030b09010000003d0008000000
320ac003b303010000003d0015000000fb0280fd0000000000009001010000cc04020010
54696d6573204e657720526f6d616e00cc83040000002d01020004000000f00101000800
0000320ac0030e0001000000d4000a00000026060f000a00ffffffff0100000000001000
0000fb021000070000000000bc02000000cc0102022253797374656d00cc040000002d01
010004000000f0010200030000000000

picscalex100010009000003360100000300150000000000050000000902000000000400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picscalex100010009000003260100000300150000000000050000000902000000000400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picscalex100010009000003260100000300150000000000050000000902000000000400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picscalex100010009000003260100000300150000000000050000000902000000000400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picscalex100010009000003360100000300150000000000050000000902000000000400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.

На данном этапе будем размещать элемент с максисальным значением Фi, т.
е. микросхему DD11.

Рассчитываем прирощение функции цели для незанятых ячеек печатной платы
по формуле (9).

ДF2=2 ДF3=2 ДF4=2 ДF5=4 ДF6=4 ДF7=4 ДF8=6 ДF9=6 ДF10=6 ДF11=8 ДF12=8.

Выбираем минимальное значение Fi ,т. е. вторую.

2.2.2.В качестве первого размещённого элемента примем разъём Х1 (позиция
1) и DD11 (позиция 2)

Рассчитываем коэффициенты относительной внешней связанности по формуле
(8).
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picscalex100010009000003360100000300150000000000050000000902000000000400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picscalex100010009000003460100000300150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02c00920111200000026060f001a00ffffffff00001000
0000c0ffffffb6ffffffe0100000760900000b00000026060f000c004d61746854797065
0000200209000000fa02000010000000000000002200040000002d010000050000001402
2003ab050500000013022003e50915000000fb0280fd0000000000009001000000000402
001054696d6573204e657720526f6d616e0000a3040000002d01010008000000320ac003
710e02000000313508000000320ac003d10d010000002e0008000000320ac003910c0100
0000300008000000320aac05920602000000323608000000320a3402d508010000003100
08000000320a3402ad0501000000330015000000fb0280fe000000000000900100000000
0402001054696d6573204e657720526f6d616e0000a3040000002d01020004000000f001
010008000000320a6004010201000000330010000000fb0280fd00000000000090010000
00020002001053796d626f6c0002040000002d01010004000000f001020008000000320a
c0039b0a010000003d0008000000320a34024107010000002b0008000000320ac003a103
010000003d0015000000fb0280fd0000000000009001010000cc0402001054696d657320
4e657720526f6d616e00cca3040000002d01020004000000f001010008000000320ac003
0e0001000000d4000a00000026060f000a00ffffffff01000000000010000000fb021000
070000000000bc02000000cc0102022253797374656d00cc040000002d01010004000000
f0010200030000000000

picscalex100010009000003460100000300150000000000050000000902000000000400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picscalex100010009000003370100000300150000000000050000000902000000000400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picscalex100010009000003370100000300150000000000050000000902000000000400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picscalex100010009000003360100000300150000000000050000000902000000000400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picscalex100010009000003360100000300150000000000050000000902000000000400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picscalex100010009000003260100000300150000000000050000000902000000000400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picscalex100010009000003260100000300150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02c009000d1200000026060f001a00ffffffff00001000
0000c0ffffffb6ffffffc00c0000760900000b00000026060f000c004d61746854797065
0000200209000000fa02000010000000000000002200040000002d010000050000001402
200359060500000013022003f10815000000fb0280fd0000000000009001000000000402
001054696d6573204e657720526f6d616e000042040000002d01010008000000320ac003
9d0b01000000300008000000320aac056f0602000000323008000000320a34020a070100
0000300015000000fb0280fe0000000000009001000000000402001054696d6573204e65
7720526f6d616e000042040000002d01020004000000f001010008000000320a6004e301
02000000313010000000fb0280fd0000000000009001000000020002001053796d626f6c
0002040000002d01010004000000f001020008000000320ac003a709010000003d000800
0000320ac0034f04010000003d0015000000fb0280fd0000000000009001010000cc0402
001054696d6573204e657720526f6d616e00cc42040000002d01020004000000f0010100
08000000320ac0030e0001000000d4000a00000026060f000a00ffffffff010000000000
10000000fb021000070000000000bc02000000cc0102022253797374656d00cc04000000
2d01010004000000f0010200030000000000.

На данном этапе будем размещать элемент с максисальным значением Фi, т.
е. микросхему DD1.

Рассчитываем прирощение функции цели для незанятых ячеек печатной платы
по формуле (9).

ДF3=С1х1d13+C111d23=3*1+3*1=6;

ДF4= С1х1d14+C111d24=3*1+3*2=9;

ДF5= С1х1d15+C111d25=3*2+3*1=9;

ДF6= С1х1d16+C111d26=3*2+3*2=12;

ДF7= С1х1d17+C111d27=3*2+3*3=15;

ДF8= С1х1d18+C111d28=3*3+3*2=15;

ДF9= С1х1d19+C111d29=3*3+3*3=18;

ДF10= С1х1d110+C111d210=3*3+3*4=21;

ДF12= С1х1d112+C111d212=3*4+3*4=24;

Выбираем минимальное значение Fi ,т. е. третью.

Результаты размещения

МикросхемаНомер посадочного
местаХ11DD13DD24DD38DD49DD55DD66DD77DD810DD911DD1012DD112

3. Трассировка цепей питания и земли с использованием алгоритма
построения кратчайших связывающих цепей

Трассировка – прокладка электрических трасс, проводов (при проводном
монтаже), дорожек.

Трассировку соединений осуществляют с помощью алгоритмов, основанных на
методах динамического программирования. Общим для этих алгоритмов
является разбиение монтажного поля на ячейки, размер и форма которых
определяют плотность и конфигурацию печатных проводников. Наибольшее
распространение на практике получило разбиение рабочего поля на
правильные квадраты, что обеспечивает простую адресацию ячеек в
прямоугольной системе координат и привычную форму соединений. Размеры
ячеек определяются конструктивно – технологическими требованиями,
предъявляемыми к печатному монтажу. Так как в каждой ячейке обычно
размещается только один вывод или печатный проводник, максимальные
размеры ячеек определяются допустимой точностью воспроизведения
проводников.

Алгоритм Краскала (цепи земли)

Строится кратчайшая связывающая сеть путем последовательного
присоединения к ней ребер, удовлетворяющих следующим условиям:

– ребро минимально

– ребро инцидентно только по одной вершине

– присоединение рассматриваемого ребра не приводит к повышению степени
любой вершины больше заданного числа

Последовательность:

– на множестве вершин строится полный граф, задаются матрица расстояний

– упорядочиваются ребра в порядке возрастания их длины

Построение КСС осуществляется путем последовательного выбора ребер
удовлетворяющих трем условиям, при этом формируется массив индексов
ребер. Условием получения покрывающего дерева является вычерчивание всех
номеров вершин в массиве номеров.

1) Матрица расстояний

x1

DD11

DD5

DD3

DD9

DD1

DD6

DD4

DD10

DD2

DD7

DD8

Рис.4

Матрица длин

123456789101112p10111222333443021012123234343131101212323432741210321432
543152123012123232662212101212322272321210321432683234123012122793323212
1012123103432321210322711434523412301291244343232121030

2) строки упорядочиваются по возрастанию массив ребер число ребер
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picscalex127010009000003d00100000200170000000000050000000902000000000400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В результате трассировки цепей земли будет иметь вид:

x1

DD11

DD5

DD3

DD9

DD1

DD6

DD4

DD10

DD2

DD7

DD8

Рис.5

Алгоритм Прима (цепи питания)

В алгоритме Прима производится манипуляция с матрицей расстояний.
Например: выбирается произвольная вершина (строка матрицы), в ней
просматриваются элементы и выбирается наименьший присоединяется
ближайшая вершина после чего обнуляется столбец, соответствующий
присоединенной вершине. На следующем этапе просматриваются уже две
строки и процедура повторяется. Проверка ограничения максимально
допустимой степени вершины осуществляется аналогично алгоритму Краскала
(анализируется массив индексов выбранных вершин)

1) матрица расстояний используется та же, что и в алгоритме Краскала
(см. выше)

2) выбирается произвольно вершина (например № 1), где минимум элемент
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В результате всех этих действий получаем трассировку цепей питания в
следующем виде.

x1

DD11

DD5

DD3

DD9

DD1

DD6

DD4

DD10

DD2

DD7

DD8

Рис.6

4. Трассировка сигнальных цепей с помощью волновых алгоритмов

Данный алгоритм является классическим примером использования методов
динамического программирования для решения задачи трассировки печатных
соединений. Основные принципы построения трасс с помощью волнового
алгоритма сводятся к следующему.

Все ячейки монтажного поля подразделяют на занятые и свободные. Занятыми
считаются ячейки, в которых уже расположены проводники, построенные на
предыдущих шагах, или находятся монтажные выводы элементов, а также
ячейки, соответствующие границе платы запрещенным для прокладывания
проводников участкам. Каждый раз при проведении новой трассы можно
использовать лишь свободные ячейки, число которых по мере проведения
трасс сокращается.

На множестве ячеек (свободных) коммутационного поля моделируют волну
влияния из одной ячейки в другую, соединяемых впоследствии одним
проводником. Первую ячейку, в которой зарождается волна влияний называют
источником, а вторую – приемником волны. Чтобы иметь возможность следить
за прохождением фронта волны влияний, его фрагментом на каждом этапе
присваивают некоторые веса:
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 (10)

где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 и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- веса ячеек k – го и (k-1) –го фронтов;

ц – числовая характеристика, зависящая от выбранного критерия
оптимизации;

На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 накладывают одно ограничение – веса ячеек
предыдущих фронтов не должны быть больше весов ячеек последующих
фронтов. Фронт распространяется только на соседние ячейки, которые имеют
с ячейками предыдущего фронта либо общую сторону, либо хотя бы одну
общую точку. Процесс распространения волны продолжается до тех пор, пока
ее расширяющийся фронт не достигнет приемника или на и шаге не найдется
ни одной свободной ячейки, которая могла бы быть включена в очередной
фронт, что соответствует случаю невозможности проведения трассы при
заданных ограничениях.

Если в результате распространения волна достигла приемника, то
осуществляют «проведение пути», которое заключается в движении от
приемника к источнику по пройденным на этапе распространения волны
ячейкам, следя за тем, чтобы значение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 монотонно убывали. В результате получают путь,
соединяющий эти две точки. Из описания алгоритма следует, мято все
условия, необходимые для проведения пути, закладываются в правила
приписания веса ячейкам.

Приведем два примера трассировки соединений с помощью волнового
алгоритма ЛИ.

Чтобы исключить неопределенность при проведении пути для случая, когда
несколько ячеек имеют одинаковый минимальный вес, вводят понятие путевых
координат задающих предпочтительность проведения трассы.

В приложении 5 представлена плата с проведенной трассировкой.

765434566543234554321234432101235434656784576789568789106798910119810910
111211109434567891010987653234567891142123456781213141732101234566131415
1656781415161514131211109876789

Литература

1. Мельничук В.В. «Конспект лекций по АКИТ и ПРЭС» БГУИР Минск 2000г.

2. Деньдобренько Б.Н. «Автоматизация конструирования РЭА» Москва 1980г.

3. Методическое пособие к лабораторному практикуму по курсу
«Математическое обеспечение конструкций и технологии проектирования с
применением САПР» Минск 1987г.

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