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Тогда Uрп*=3D
,
где d =3D q*з – q*.
В момент времени t =3D=
t2:
d(2) =3D q*з/2.<=
/p>
Тогда Uрп* =3D
.
Если выходной сигнал
регулятора в каждой точке является функцией ошибки, то и в точке,
соответствующей моменту времени t2 выходной сигнал будет также
являться функцией этой ошибки. Для этого выходной сигнал должен быть равен<=
o:p>
U<=
/span>рп* =3D
.
Такую статическую
характеристику имеет параболический регулятор (рисунок 6.17).
Рисунок 6.17 =
Рисунок 6.18
|
Найдем коэффициент
параболического регулятора
Крп*=3D
.
При d*®¥=
span> Крп*®0;
при =
d*®0 Крп*®¥=
span>.
Осциллограмма сигнало=
в при
отработке заданных перемещений позиционной системой с параболическим
регулятором представлена на рисунке 6.18.
U<=
/span>рп*(нач) =3D Крп=
*×qз* =3D
;
q*З(МАКС) =3D
.
Сравнивая с настроечным
перемещение q*З(МАКС) можно сделать вывод, =
что
оптимальность отработки сигналов с параболическим регулятором положения
возможно в диапазоне перемещений, вдвое меньше настроечных q*З(МАКС)
=3D=
q*З(настр)/2.<=
/p>
В момент времени t2
Uр=
п*
=3D
.
Рисунок 6.20 =
Рисунок 6.21
|
Для общего случая
практическая реализация параболического регулятора положения (ПРП) имеет ви=
д,
представленный на рисунке 6.19. При практической реализации начальный угол
должен быть ограничен коэффициентом, который имеет контур положения в режиме
малых перемещений. Реализация такой нелинейной зависимости осуществляется
методом кусочно-линейной аппроксимации (рисунок 6.20).<=
o:p>
В соответствии с рисун=
ком
6.21, при реализации ПРП используется принцип смещенных диодов, который
включается при достижении сигнала с выхода определенного уровня, и включает
параллельно основному резистору R0 резистор R01, либо еще R02.
ПРП позволяет адаптиро=
вать
(приспособить) позиционную систему, делая оптимальными процессы отработки
задающих сигналов, меньших максимального значения.
К<=
sub>0
=3D R0/Rдп<=
/sub>; К1 =3D
;
.
Объект регулирования в процессе работы ме=
няет
свои параметры. Это вызвано нелинейностью характеристик самих объектов,
действием возмущений (изменением температуры, напряжения сети, времени, мом=
ента
нагрузки) и временным старением. Поэтому любая настройка является оптимальн=
ой
лишь в расчетной точке. Во всех остальных случаях настройка системы отличае=
тся
от оптимальной. Если изменения параметров небольшие (20-30)%, то это не
приводит к существенным изменениям качества и с этим приходится мириться. Е=
сли
изменения существенные (настройка контура тока в АВК, ТП-ДПТ при переходе из
режима непрерывного тока в режим прерывистых токов), приходиться изменять
параметры регуляторов, либо структуру регулирования для сохранения оптималь=
ной
настройки. Системы, в которых реализуется такая функция, называются адаптив=
ными.
Обобщенная структурная схема адаптивного =
АЭП
представлена на рисунке 7.1, где приняты обозначения: БАУ – блок адаптивного
управления; БОИ – блок обработки информации; БППР – блок перестройки параме=
тров
регулятора.
БАУ =3D БОИ + БППР
Основные задачи, решаемые адаптивными
системами АЭП
1) При произвольном изменении параметров
объекта необходимо так изменять параметры регулятора, чтобы сохранялась
оптимальная настройка системы (в этом случае предполагают, что система была=
оптимизирована,
и эта настройка сохранилась бы). Эта задача решается в беспоисковых адаптив=
ных
системах.
2) При начальном отсутствии информации о
параметрах объекта и воздействие на систему необходимо производить поиск
оптимальных режимов работы. Эта задача решается в поисковых адаптивных сист=
емах
АЭП.
Беспоисковые адаптивные системы решают пе=
рвую
задачу сохранения оптимальности настройки системы.
1.=
1.1 =
Системы с внутренними обратн=
ыми
связями
Система АЭП с внутренними обратными связя=
ми
тех элементов, параметры которых меняются (см. рисунок 7.2). На рисунке 7.2
приняты обозначения: ВОС – внутренняя обратная связь; ГОС – главная обратная
связь.
Обязательным условием работоспособности э=
той
системы является более высокое быстродействие контура внутренней обратной с=
вязи
по отношению контуру главной обратной связи.
Пример такой системы – система с внутренн=
им
контуром напряжения в тиристорном ЭП постоянного тока, с помощью которого
линеаризуется характеристика тиристорного преобразователя.
1.=
1.2 =
Системы с эталонными моделям=
и
Эталонные модели в явном или в неявном ви=
дах
присутствуют во всех адаптивных системах. В качестве эталонных моделей могут
быть использованы модели звена, разомкнутой системы, замкнутой системы. Сис=
темы,
в которых модели присутствуют в явном виде, называются системами с эталонны=
ми
моделями. Их структуры представлены на рисунке 7.3а, б, где приняты
обозначения: Wм –
модель замкнутой системы; Wк<=
/span>
– корректирующее звено.
Вариант б) – случай адаптивной системы с
сигнальной самонастройкой. В случае, когда параметры объекта являются
расчетными, фактические и желаемые сигналы будут совпадать, и поэтому сигна=
л с
корректирующего звена равен нулю. При изменении параметров в объекте
фактический сигнал будет отличаться от желаемого, что будет приводить к
формированию сигнала на выходе корректирующего звена, который, алгебраически
суммируясь с сигналом регулятора, формирует такое воздействие на объект, при
котором фактический сигнал будет приближаться к желаемому.
– передаточная ф=
ункция
замкнутой адаптивной системы.
y =3D =
[(х-y)Wp + (yм
-y)Wк] W0;
yм =3D XW=
м;
y=3D хWpW0 –yWpW0 + xWмWк=
span>W0
– yWкW0;
y(1+Wp=
sub>W0
+WкW0=
) =3D х(WpW0 +WмWкW0);
,
Wк
=3D Кк ® ¥.
Передаточная функция такой замкнутой сист=
емы
независимо от изменения параметров объекта стремится к передаточной функции
модели, поэтому переходные процессы по управляющему воздействию Х будут
оптимальными и стабилизированными, т.е. не будут изменяться при изменении
параметров объекта. Такую сигнальную настройку применяют в системах АВК для
сохранения оптимальной настройки в контуре тока при изменении скорости.
Достоинство – простая техническая реализа=
ция
(пассивный фильтр с операционным усилителем).
Недостатки:
- применяется только для небольших измене=
ний
параметров в объекте (20-30-40)%;
- такие системы обеспечивают оптимальность
настройки только по задающему сигналу, по возмущающему воздействию система
оптимальность не обеспечивает.
1.=
1.3 =
Системы с самонастройкой
Адаптивная система с самонастройкой по
значению амплитудной характеристики на частоте среза представлена на рисунке
7.4, где приняты обозначения: Wм
– передаточная функция модели разомкнутой системы; Ф – узкополосные фильтры,
выделяющие сигнал тестовой частоты (см. рисунок 7.5); ВМ – выявитель модуля=
; К
– корректирующее звено (интегратор).
Входной сигнал описывается уравнением
x =3D Uy=
+ U0
sin w0t,=
p>
где Uy – полезный сигнал;=
U0 sin w0t – готовый сигнал мал=
ой
амплитуды U0 (U0 берется в виде доли процента от вели=
чины
полезного сигнала U0 =3D 10-4–10-5 Uy=
);
=
w0 =3D wс – тестовая =
частота
(частота среза).
Если система работает в расчетной точке, =
то
сигналы с модели и фактический сигнал равны. Поэтому на вход корректирующего звена поступает ноль, ч=
то
определяет расчетный коэффициент усиления у регулятора. Если коэффициент в
объекте уменьшился, то фактический выходной сигнал y стал меньше y<=
/span>МОДЕЛИ,
на входе корректирующего звена появляется положительный сигнал, который дол=
жен
вызвать увеличение коэффициента усиления у регулятора. Увеличение коэффицие=
нта
регулятора будет идти до тех пор, пока фактический сигнал не будет равен
сигналу с модели. В этом случае на входе корректирующего звена будет опять
ноль, а на выходе будет сигнал, который соответствует новому значению
коэффициента регулятора. Корректирующее звено интегрального типа и обладает=
свойством
памяти.
Выявители модуля предназначены для
выпрямления сигналов малой амплитуды без потери информации. Принципиальная
схема выявителя модуля представлена на рисунке 7.6.
y =3D х + 2y1.
Диаграммы сигналов выявителя модуля
представлены на рисунке 7.7.
Согласно рисунку 7.7, охватом ООС цепи,
включающей диод VD2, сделали этот узел линейным для входного сигнала
положительной полярности. При отрицательном входном сигнале х, y1=3D0,
т.к. на выходе ОУ в этом случае формируется положительное напряжение, при
котором диод VD2 не пропускает, а для ограничения обратного тока диода VD2,
выход операционного усилителя А1 ограничен напряжением на диоде VD1. Емкост=
ь в
ОС А2 позволяет сгладить выходной сигнал y.
1.=
1.4 =
Системы с переключающейся
структурой регуляторов
В
системе АЭП используют типовые настройки (на СО, МО) контуров регулирования,
определяющие статические и динамические свойства системы.=
Вид частотной характеристики, частота сре=
за
определяют характер переходных процессов (быстродействие, перерегулирование=
и
т.д.). Если при изменении параметров в объекте так изменять параметры
регуляторов, чтобы вид частотных характеристик не изменился, то переходные
процессы будут инвариантны при изменении параметров объекта.
Если в объекте изменился только коэффицие=
нт
усиления, то ЛАЧХ разомкнутого контура либо поднимается, либо опускается, не
изменяя своей формы (см. рисунок 7.8). Оценить изменение ЛАЧХ можно,
контролируя коэффициент усиления на какой-то частоте w0 (тестовой частоте). О=
бычно
в качестве тестовой частоты берут =
wсреза=
, оптимизиро=
ванного
на расчетный оптимум контура системы.
Если параметры объекта меняются существен=
но,
то оптимальность переходных процессов может быть получена за счет изменения
структуры регуляторов, а в некоторых случаях за счет изменения всей структу=
ры
регулирования. Существенное изменение параметров в системе АЭП постоянного =
тока
имеет место при изменении режима работы тиристорного преобразователя (согла=
сно
рисунку 7.9, при переходе из режима непрерывного тока в режимы прерывистого
тока).
Из осциллограмм видно, что при одних и те=
х же
приращениях входного сигнала в режиме непрерывного тока (РНТ) DI больше, но выход на н=
овое
значение тока идет по экспоненте с постоянной времени Тэ. В режиме прерывис=
того
тока (РПТ)
, будет меньше по уровню, но ток выходит на этот уровень =
практически
мгновенно (см. рисунок 7.10).
R/тп (РПТ) <=
/span>>> R/тп (РНТ) Þ Тэ ®0.=
p>
Если система АЭП была одноконтурной, то
уменьшение коэффициента в звеньях ТП-ЯЦ будет вызывать уменьшение коэффицие=
нта
в системе и приводить к более демпфированным переходным процессам, но систе=
ма
остается работоспособной. Если привод многоконтурный, то это вызывает сниже=
ние
быстродействия в контуре тока и по=
тере
работоспособности системы в целом.
Проанализируем работу контура тока якоря с
регулятором тока, рассчитанным для режима непрерывного тока при переходе ТП=
в
режим прерывистых токов. Структурная схема контура тока в режиме непрерывно=
го
тока представлена на рисунке 7.11.
;
ЛАЧХ контура тока в режиме непрерывного и
прерывистого токов представлена на рисунке 7.12.
При =
w<1/Т=
э
– интегрирующее =
звено,
где
.
.
При увеличении Rэ/ частота среза смещается в область бол=
ее
низких частот.
;
.
С переходом тиристорного преобразователя в
режим прерывистых токов контур тока становится более инерционным.
Структурная схема контура тока в режиме
прерывистого тока представлена на рисунке 7.13.
В режиме непрерывных токов
МО:
;
СО:
.
В режиме прерывистых токов
;
При настройке на МО
.
При настройке на МО ЛАЧХ контура скорости
представлена на рисунке 7.14.
Так как частота среза разомкнутого контура
скорости приходится на участок ЛАЧХ с наклоном –40дБ/дек, то контур скорости
теряет работоспособность (т.е. становится неустойчивым).<=
/p>
При настройке на СО ЛАЧХ контура скорости
представлена на рисунке 7.15.
В данном случае контур скорости становится
еще более неустойчивым, так как частота среза приходится на участок с накло=
ном
–60дБ/дек.
Для обеспечения оптимальной настройки сис=
темы
как в РНТ, так и в РПТ, необходимо одновременно с изменением режима работы
преобразователя изменять структуру регулятора тока.
1.=
1.4.1 =
Оптимизация контура тока в режиме прерывистого тока
Структурная схема контура тока в режиме
прерывистого тока представлена на рисунке 7.13.
МО:
;
,
где
.
Получили интегральный регулятор тока.
1) При переходе в режим прерывистых токов
регулятор тока должен изменить структуру (вместо ПИ он должен стать И-типа)=
.
2) По мере изменения Rэ/ должна изменя=
ться и
ТИ регулятора.
1.=
1.4.2 =
Техническая реализация адаптивного регулятора тока
Техническая реализация адаптивного регуля=
тора
тока представлена на рисунке 7.16, где приняты обозначения: ДНТ – датчик ну=
ля
тока; БУР – блок управления регулятором; К1, К2 – полевые транзисторы.=
БУР управляет состоянием ключей К1 и К2,с
помощью которых изменяет структуру регулятора (может реализовать П или
ПИ-регулятор).
РНТ:
;
РПТ:
.
Получили регулятор И-типа, постоянная вре=
мени
которого ТИЭ уме=
ньшается
с уменьшением тока, что требуется для оптимальной настройки контура тока в
режиме прерывистых токов.
Еще одним способом построения адаптивного
контура тока является включение нелинейного звена в контур тока,
последовательно с регулятором тока, коэффициент передачи которого изменяется
обратно пропорционально изменению коэффициенту передачи цепи ТП-ЯЦ. Благода=
ря
этому коэффициент в контуре тока остается неизменным, что и определяет
неизменность переходных процессов и в РНТ, и в РПТ.
Структурная схема адаптивного регулятора =
тока
в БТУ представлена на рисунке 7.17. ЛАЧХ контура тока в режиме РПТ с адапти=
вным
регулятором тока и без НЭ и ФПЕ представлена на рисунке 7.18.
В режиме прерывистых токов у НЭ коэффицие=
нт kНЭ значительно больше, чем в
режиме непрерывных токов.
Для выделения зоны прерывистых токов в
электроприводе на базе БТУ используется положительная обратная связь по ЭДС,
которая поступает в систему через ФПЕ. В режиме идеального холостого хода на
выходе РТ должен быть нулевой сигнал и все напряжения преобразователя
формируются только благодаря сигналу UФПЕ благодаря этому выделяется зона
прерывистых токов.
Еще одним способом адаптации контура тока=
к
режиму прерывистых токов является охват обратной связью по напряжению тирис=
торного
преобразователя. В режиме прерывистых токов у преобразователя нелинейная
регулировочная характеристика, а благодаря охвату обратной связью по напряж=
ению
мы это звено линеаризуем.
В этом случае классические системы
однозонного ЭП с подчиненным регулированием становятся трехконтурными.=
Поисковые адаптивные системы выполняют
оптимизацию с принятыми критериями качества. В них организуется режим поиск=
овых
изменений параметров и фиксируется те параметры, при которых достигаются
экстремальные значения показателя качества. Поэтому для работы таких систем
необходимы экстремальные показатели (рисунок 7.19).
Блок-схема адаптивной системы представлен=
а на
рисунке 7.20, где приняты обозначения: БАУ – блок адаптивного управления; Б=
О –
блок оценки принятого показателя качества (включает контрольно-измерительную
аппаратуру и функциональное устройство, состав которых зависит от принятого=
показателя
качества); БОД – блок организации движений (включает устройства, выполняющие
пробные изменения параметров регулятора, устройства оценки изменений параме=
тров
качества, устройства, вырабатывающие сигналя для нужного изменения параметр=
ов);
БР – блок регуляторов (включает в себя регуляторы, необходимые для адаптаци=
и).
Поисковая адаптивная система –
самонастраивающаяся или самообучающаяся система АЭП.
БТУ 3601 – “узкая” сер=
ия
преобразователей БТУ, ориентированная на работу с высокомоментными двигател=
ями.
В преобразователь БТУ=
входят:
реверсивная мостовая силовая схема, система управления этим преобразователе=
м и
система регулирования электропривода.
Особенности БТУ 3601:<=
o:p>
- управление комплекта=
ми
раздельное;
- СИФУ одно на два
комплекта, но по этой причине на входе СИФУ ставят переключатель характерис=
тик;
-
устройство логическое, позиционного типа, контроль нуля тока косвенный, с
помощью датчика проводимости вентилей.
Структура
условного обозначения типоисполнений устройства БТУ представлена на рисунке
8.1.
2.=
2.1 =
Силовая часть
Функциональная схема
электропривода на базе преобразователя БТУ 3601 представлена на рисунке 8.2=
.
Система регулирования
двухконтурная, с подчиненным регулированием. Внутренний контур – это контур
тока с адаптивным регулятором. Внешний контур скорости имеет узел зависимого токоограничения, чтобы максимально использо=
вать
возможности высокомоментных двигателей.
Узел защиты и блокиров=
ки
осуществляет:
- максимальную токовую
защиту;
- защиту от перегрузки=
по
току (тепловая защита);
- защиту при снижении
напряжения в питающей сети.
Кроме
защит УЗ и Б осуществляет блокировку с помощью
контактного сигнала, который поступает из системы электроавтоматики механиз=
ма
(при отсутствии этого сигнала (деблокировки) регуляторы зашунтированы, упра=
вляющие
импульсы сняты).
2.=
2.2 =
СИФУ
СИФУ
– многоконтурная (трехканальная), синхронная, с
пилообразным опорным напряжением и вертикальным принципом управления.<=
/o:p>
В каждом канале СИФУ
формируются управляющие импульсы на тиристоры одной фазы.=
В соответствии с рисун=
ком
8.4, канал СИФУ состоит из фильтра, пороговых элементов (первого и второго),
формирователя синхронизирующего импульса, нуль органа, формирователя
длительности импульсов, распределителя импульсов.
Фильтр (Ф) – предназна=
чен
для фильтрации синхронизирующего напряжения и для сдвига этого напряжения на
заданный угол (обычно на 300 или 600) с таким расчето=
м,
чтобы начало опорного напряжения совпадало с точкой естественной коммутации
(см. рисунок 8.5).
По=
роговый
элемент (ПЭ) – преобразует синусоидальный сигнал в логический, формируя
разрешенные зоны для выдачи управляющих импульсов на тиристоры.
Формирователь
синхронизирующего импульса (ФСИ) – предназначен для формирования
синхроимпульсов, срывающих интегрирование в ГПН. Синхроимпульсы формируются=
два
раза за период в точках естественной коммутации.
Генератор
пилообразного напряжения (ГПН) – формирует опорное напряжение и построен на=
базе
интегратора.
Нуль орган (НО) – фикс=
ирует
момент равенства опорного и управляющего напряжения. Так как Uоп всегда положительно, то =
Uу* должно быть т=
олько
отрицательным (-1¸=
-9 В).
Формирователь длительн=
ости
импульсов (ФДИ) – формирует управляющий импульс заданной длительности (7¸10 эл.
град).
Ра=
спределитель
импульсов (РИ) – распределяет сформированные управляющие импульсы на фазный=
и
противофазный вентили данной фазы.
Объединение выходов
логических элементов ФСИ возможно только в тех случаях, когда выходные каск=
ады
элементов пассивные или имеют коллекторный выход (в данном случае открытый
коллекторный выход).
НО представляет
из себя операционный усилитель без обратной связи. Диоды V9 и V10 сл=
ужат
для защиты от перегрузок входа. R19 служит приведения отрицательного сигнала НО к нулевому логическому. Нулевым сигналом НО переключается RS-триггер и в контрольной т=
очке
(8) формируется логический ноль. Возврат триггера в исходное состояние
осуществляется синхронизирующим импульсом, т.е. в момент начала очередной п=
илы.
ФДИ – одновибратор,
построенный на транзисторе V6 открыт (протекает базовый ток через R10), С2 заряжен, плюс слева. При формировании нуля в контрол=
ьной
точке (8) V6 закрывается и остается закрытым, пока не разрядится конденсато=
р С2. V7 служит для защиты базы от обратного напряжения. =
Снятие
управляющих импульсов осуществляется подачей сигнала от УЗ и Б. Можно запре=
тить
подачу управляющих импульсов нулевым сигналом на входе RS-триггера.
На входе СИФУ включен
управляющий орган и переключатель характеристик (ПХ) (см. рисунок 8.6).
ПХ предназначен для
согласования разнополярного сигнала с системы регулирования (АРТ) с
однополярной входной характеристикой СИФУ (на вход СИФУ подают только
отрицательный сигнал). В установившемся статическом режиме на выходе ПХ тол=
ько
отрицательные сигналы, положительные могут быть только в динамических режим=
ах
(показаны пунктиром). ПХ построен на операционном
усилителе и транзисторном модуле на входе, и обеспечивает передачу сигнала с
инверсией или без неё. При запрете работы ключи В и Н
открыты. На входе ОУ нулевой входной сигнал, на выходе тоже ноль. Когда зак=
рыт
ключ В, входной управляющий сигнал Uу поступает на инвертирующи=
й вход
А1 (коэффициент передачи k =3D –1). Когда закрыт ключ Н=
сигнал управления поступает на неинвертирующий вход через делитель R2-R13 с
коэффициентом 1/3 и усиливается в три раза операционным усилителем (k =3D 1=
).
Управляющий орган (УО)=
–
служит для ограничения сигнала управления в диапазоне, который определяет
минимальный и максимальный сигнал управления (=
amin соответствует Uу*
=3D –1В; amax соответствует U<=
span
style=3D'text-transform:uppercase'>у* =3D –9В). Так=
же
служит для установки начального угла управления (=
a0 =3D 1200).=
Усилитель импульсов (У=
И) –
ключевой усилитель на составных транзисторах (6 штук). В преобразователе
установлено 12 узлов импульсных трансформаторов (по количеству тиристоров) =
(см.
рисунок 8.3). С усилителя импульсов сигналы поступают на обе группы тиристо=
ров,
но в каждый момент времени работает та группа, которая сигналом с логическо=
го
устройства ключами Н1 и В1 подключена к источнику
питания –12В.
Назначение импульсного
трансформатора – для гальванической развязки системы управления и силовой
схемы, и для усиления по току.
Резистор 8100 Ом в пер=
вичной
обмотке служит для ограничения тока:
Imax =3D 24=
B /100
Ом =3D 0,24 А.=
p>
Обычно этот резистор
защищает транзисторные ключи.
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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