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1&nb= sp; Замкнутые системы АЭП стабил= изации скорости

1.1&= nbsp; Оптимизация контуров регулир= ования

Цель оптимизации: при известных параметрах объекта подбор такого регулятора, при котором будут получены желаемые динамические и статические характеристики контура.

Рисунок 5.1

В соответствии с рисун= ком 5.1, передаточная функция замкнутого контура

Если W_рW_о>> 1, то .

Реально, с учетом датч= ика обратной связи, передаточная функция замкнутого контура

Если W_рW_оW_дос>= ;> 1, то <= v:shape id=3D"_x0000_i1029" type=3D"#_x0000_t75" style=3D'width:101.25pt;height:39= .75pt' o:ole=3D"" fillcolor=3D"window"> .

® ;

® .

Решение идеальной зада= чи оптимизации вступает в противоречие с техническими и экономическими возможн= остями. Реально при оптимизации инерционности объекта с помощью регулятора компенси= руют насколько это возможно и насколько это разумно для сохранения помехоустойчивости системы.

При анализе контуров регулирования в системах АЭП встречаются в основном два вида передаточных функций замкнутых контуров регулирования

а) ;

b₀ =3D a0; b₁ =3D a₁.

;

при 2а_{0а₂
=3D а₁².}

б) ;

при 2а_{0а₂
=3D а₁² 2а1}а₃ =3D а₂².

В случае а) контур регулирования оптимизируют на модульный оптимум, в случае б) – на симметрич= ный оптимум.

1.1.1 Оптимизация контура регулиро= вания на модульный оптимум, объект которого содержит большую и малую инерционности

&nbs= p;

Дана передаточная функ= ция объекта

где Т₀ – большая инерционность;<= /o:p>

Т= _m – малая инерционность (некомпенсированная постоянная, определяющая помехозащищенность);

k₀ – коэффи= циент усиления объекта.

Найдем передаточную функцию регулятора .

Если взять П-регулятор= , то контур будет статическим, т.е. будет ошибка, стремящаяся к нулю. Для придан= ия системе астатических свойств, а также для компенсации большой инерционности объекта подойдет ПИ-регулятор.

Передаточная функция ПИ-регулятора

где Т_из =3D Т₀.

Найдем k_р

;

W_пк(р) =3D W ^p(p);

W_oc(p) =3D 1= ;

k₀k_p =3D b₀ =3D a₀; T0 =3D a₁; T₀T_=
m =3D a₂.

Из условия оптимизации= на модульный оптимум 2a₀a₂ =3D a₁², находим

2k_pk_{0<=
/sub>T₀T}_m =3D T₀2;

Тогда перепишется=

Из полученного выражен= ия видно, что характер переходных процессов в оптимизированной замкнутой систе= ме будет определяться малой постоянной времени Т_m.

В соответствии с рисунком 5.2, на котором представлен переходный процесс в оптимизированной замкнутой системе, можно привести следующие цифры

s =3D 4,3% – перерегулирование;=

t₁ =3D 4,7<= /span>×T_m;

t₂ =3D 6,3<= /span>×T_m;

t₃ =3D 8,4<= /span>×T_m.

Этот переходный процес= с не является предельным ни по быстродействию, ни по перерегулированию.

Оптимизация по этой процедуре носит название настройки на модульный оптимум (МО).

В общем виде передаточ= ную функцию можно представить

;

b² – 4a = ³ 0 – переходный процесс апериодический;

b² – 4a < 0 – переходный процесс колебательны= й.

;

где x – коэффициент демпфирования.

;

x = ³ 1 – переходный процесс апериодический;

x < 1 – переходный процесс колебательны= й.

В нашем случае = b =3D 2Т_=
m; a =3D 2Т_=
m²;

Настройка на МО являет= ся компромиссной. Быстродействие контура можно увеличить, но вместе с тем раст= ет перерегулирование, аналогично перерегулирование можно уменьшить, но уменьши= тся и быстродействие (см. рисунок 5.3).

Рисунок 5.2 = Рисунок 5.3

Настройка на модульный оптимум дает средние показатели по быстродействию и перерегулированию и лег= ко технически реализуема.

Рисунок 5.4

ЛАЧХ разомкнутого конт= ура оптимизированного на МО представлена на рисунке 5.4.

;

Т_из =3D Т₀.<= /o:p>

Увеличение k_{р
приведет к увеличению быстродействия, но и к повышению колебательности.}

ЛАЧХ разомкнутого конт= ура с и представлены на рисунке 5.4.

Передаточная функция замкнутого контура

;

После оптимизации конт= ура на МО контур будем представлять по упрощенному виду как апериодическое звено первого порядка (см. рисунок 5.5), а не колебательное.

Рисунок 5.5

Порядок оптимизации на= МО по ЛАЧХ (см. рисунок 5.6):

Рисунок 5.6

Дана передаточная функ= ция разомкнутого контура

где – передаточная ф= ункция регулятора;

– передаточная ф= ункция объекта.

Из нее находим передат= очную функцию регулятора

При Т_из = < Т₀ увеличивается площадь НЧ части характеристики, появляется участок с наклоном 40дб/дек в средней части ЛАЧХ (см. рисунок 5.7). Это приводит к увеличению быстродействия контура, но может вызвать неустойчивость в нем, если частота среза будет приходиться на участок 40дб/дек.

При Т_из > Т₀ площа= дь НЧ части ЛАЧХ уменьшается (см. рисунок 5.8), что должно уменьшить быстродейств= ие.

Рисунок 5.7 = Рисунок 5.8

9<= span lang=3DUK> – Диаграммы сигналов при различных настройках контура

Диаграммы сигналов при различных настройках контура представлены на рисунке 5.9.

При оптимизации следую= щих контуров регулирования внутренний контур будет представлен апериодическим звеном.

;

DХ(р) =3D W_ош(р)×= Х_вх(р).

1.1.2 Применение П-регулятора для контура, объект которого содержит большую и малую инерционности

&nbs= p;

Применение П-регулятора оправдано, т.к. не требуется следить за емкостью, и будут отсутствовать узл= ы, шунтирующие емкость на стоянке привода.

Рисунок 5.10

В соответствии со структурной схемой на рисунке 5.10, передаточные функции объекта, разомкнут= ого и замкнутого с единичной обратной связью контуров

;

2а₀а_{2<=
/sub>
=3D а₁²;}

2(1+k_pk0)Т₀Т_m =3D (Т₀ + = Т_m)²;

k_pk_0
>>1® 1+k_pk₀ » k_pk₀;

T₀ >>= T_m ® T₀ + T_m » T₀;

2k_pk_{0<=
/sub>T₀T}_m =3D T₀2;

– коэффициент П-регулятора как у ПИ-регулятора.

Передаточная функция регулятора

при Т_о >>Т_=
m.

Т.к. передаточная функ= ция замкнутого контура в данном случае будет практически такой же, как с применением ПИ-регулятора, то характер переходных процессов будет тот же са= мый.

УР: .

Замкнутый контур являе= тся статическим. Ошибка уменьшается по мере роста коэффициентов.

Ошибка может быть скомпенсирована за счет увеличения сигнала задания.

; ; ; .

При соотношении применяют П-регу= лятор.

1.1.3 Оптимизация контура на МО ко= нтура, объект которого имеет интегрирующее звено и звено с малой постоянной времен= и.

&nbs= p;

МО: ;

– регулятор П-ти= па.

С П-регулятором контур= в общем случае является статическим. В некоторых случаях, если интегрирующее звено объекта находится до точки приложения возмущающего воздействия, контур будет астатическим.

На рисунке 5.11а, б представлены контур астатический по возмущению и статическая система по возмущению, соответственно.

В обоих вариантах сис= тема является астатической по заданию, т.к. одно из звеньев имеет интегральную часть. При качественном анализе системы необходимо начинать со звена, имеющ= его интегральную часть, на котором в установившемся режиме должен быть ноль.

По возмущению астатиче= ской является только вариант а), т.к. в этом случае интегральная часть объекта с= тоит до точки приложения возмущающего воздействия. Вариант б) является статическ= им по возмущению, т.к. нулевой сигнал на входе интегрирующей части возможен при наличии возмущающего воздействия, т.е. ошибки.

а)

б)

Рисунок 5.11

&nbs= p;

1.1.4 Оптимизация контура на СО, о= бъект которого содержит интегрирующее звено и звено с малой постоянной времени

&nbs= p;

Применим ПИ-регулятор с передаточной функцией

С ПИ-регулятором астатическим по заданию и возмущению передаточные функции разомкнутого и замкнутого контуров:

;

2а₀а_{2<=
/sub>
=3D а₁²}® 2k_pk₀Т_изТ₀ =3D k_p=²k₀²Т_из² ® 2Т₀ =3D k_pk_{0<=
/sub>Т_из;}

2а₁а_{3<=
/sub>
=3D а₂²}® 2k_pk₀Т_из²Т₀= Т_m =3D Т_из²Т₀= ² ® 2k_pk₀T_=
m =3D T₀;

; ; Т_из =3D 4Т_m;

В соответствии с рисун= ком 5.12, ЛАЧХ разомкнутого контура получилась симметрично относительно частоты среза. Это настройка на симметричный оптимум.

Рисунок 5.12= <= span style=3D'mso-spacerun:yes'> Рисунок = 5.13

Передаточная функция замкнутого контура определяется только Т_=
m. Этой передаточной фу= нкции соответствует переходный процесс, представленный на рисунке 5.13.

t₁ =3D 3,1T= _m; t₃ =3D 16= ,5T_m; d =3D 43,4= %.

Рисунок 5.14

Повышенное перерегулир= ование вызвано наличием форсирующего члена в числителе передаточной функции. Такое перерегулирование недопустимо. Для снижения перерегулирования на входе замкнутого контура включают фильтр (см. рисунок 5.14).

Передаточная функция ф= ильтра

;

График перех= одных процессов при различных настройках контура представлен на рисунке 5.15= .<= o:p>

<= o:p>

<= o:p>

Рисунок 5.15

<= o:p>

Таблица 5.1. Характери= стики переходных процессов при различных настройках контура

<= o:p>

	СО=	МО=	СО+Ф
s , %	43,4	4,3	8,1
t₁	3,1Т_m	4,3Т_m	7,6Т_m
t₃	16,6Т_m	8,4Т_m	13,3Т_m

Сравнив= ая настройку на СО и МО можно сделать вывод, что настройка на МО имеет малое перерегулирование и большое быстродействие, но при этом система является статической. Быстродействие и перерегулирование при оптимизации на симметри= чный оптимум (СО) вдвое хуже, чем при настройке на МО, но система становится астатической.

Перерегулирование с ф= ильтром на входе снижается по причине замены скачка сигнала с выхода фильтра, т.е. = на входе контура экспонентой.

Техническая реализация фильтра на входе системы представлена на рисунке 5.16.

Рисунок 5.16

Применение ПИ-регулято= ра для объекта, содержащего интегрирующее звено и звено с малой постоянной времени позволяет построить систему астатическую по заданию и возмущению.

1.2&= nbsp; Принципы построения многокон= турных АЭП

В АЭП в процессе регулирования требуется контролировать и ограничивать ряд координат ЭП на допустимом уровне (ток, напряжение и т.д.), поэтому современные системы АЭП многоконтурные.

Принципы построения многоконтурных систем АЭП:

1) Многоконтурные АЭП с параллельными контурами регулирования с одним или несколькими регуляторами

а) с од= ним регулятором (рисунок 5.17);

Рисунок 5.17

б) с n-= количеством регулируемых параметров.

Недостаток системы с о= дним регулятором – регулятор имеет компромиссную настройку для того, чтобы переходные процессы были требуемого качества в контурах скорости и тока.

Достоинство – относите= льно высокое быстродействие, если применяется несколько регуляторов (но в этом случае усложняется узел, который обеспечивает их совместную работу).

1) Многоконтурные системы= с концентрическими контурами регулирования (рисунок 5.18).<= /p>

Рисунок 5.18

У каждого параметра св= ой регулятор, поэтому можно обеспечить оптимальность настройки каждого контура. Цепь регулирования определяется внешним контуром (в данном случае контуром скорости). Выходной сигнал РС является задающим для внутреннего контура. Ко= нтур тока является подчиненным контуру скорости, следовательно, это система с подчиненным регулированием параметров.

Достоинства:

- возможность реализац= ии оптимальных законов управления каждого параметра;

- простота ограничения максимальных значений регулируемой величины за счет ограничения сигнала на входе соответствующего регулятора. Ограничение тока осуществляется за счет ограничения выходного сигнала РС, который является задающим для контура ток= а. Максимальная скорость привода ограничивается за счет ограничения максимальн= ых сигналов задания на входе системы;

- упрощается расчет, н= аладка и реализация. Оптимизация системы начинается с внутреннего контура, который= в дальнейшем будет представлен в виде звена с достаточно простой передаточной функцией, входящего в состав объекта внешнего контура.

Недостатки:=

- быстродействие системы снижается по мере увеличения контуров регу= лирования;

- растет малая постоянная времени контуров регулирования.

1.3 Однозонный ЭП с подчиненным регулированием параметров с обратной связью по скорости

&nbs= p;

Структурная схема однозонного ЭП постоянного тока с обратной связью по скорости с подчиненным регулированием параметров представлена на рисунке 5.19.

Рисунок 5.19

Рисунок 5.20

При подаче задающего с= игнала РС, как правило, выходит на ограничение, задавая максимальный ток, который отрабатывается замкнутым контуром тока. В соответствии с рисунком 5.20, динамическая составляющая тока обеспечивает увеличение скорости двигателя.<= o:p>

I – I_c =3D I_дин.

В точке 2 регулятор ск= орости сойдет с ограничения и будет уменьшать свой сигнал до такого уровня, при котором ток двигателя равен току статической нагрузки. Установившийся режим= в точке 3 наступит при равенстве I =3D I_c.

1.= 3.1 = Оптимизация контура тока

1.= 3.1.1 = Оптимизация контура тока с заторможенным электродвигателем=

Структурная схема внутреннего контура тока представлена на рисунке 5.21.

Допущения:<= /span>

- датчик тока считаем безинерционным ;

- все малые инерционно= сти, которые имеет контур, включены на входе ТП ;

- ЭД заторможен (Е =3D= 0) или (DЕ = » 0), а значит отсутств= ует ОС по ЭДС.

Контур тока содержит з= венья с большой и малой инерционностью (малую инерционность компенсировать не следует, она будет определять помехоустойчивость контура).

Рисунок 5.21

Структурная схема кон= тура тока с учетом сделанных допущений представлена на рисунке 5.22.

Рисунок 5.22

МО: ;

Получили регулятор ток= а (РТ) ПИ-типа. С этим регулятором система астатическая и по заданию, и по возмуще= нию (для заторможенного двигателя).

где – передаточная ф= ункция прямого канала;

– передаточная ф= ункция разомкнутого контура.

Тогда, передаточная фу= нкция замкнутого контура тока

;

где 2Т= _m =3D Т_т – эквивалентная постоянная времени оптимизированного на МО контура тока.

УР: .

1.= 3.1.2 = О запасе тиристорного преобразователя по напряжению

Максимальное напряжение тиристорного преобразователя при номинальной ЭДС двигателя и возможных снижениях напряжения питания сети должно обеспечить определенный запас на статику и динамику.

k_cE_dmax =3D Eдн + DE_dmax;=

(k_c =3D 0,9);

DE_{d (статика)} =3D I_{maxR_э;}

DE_{d (динамика)} =3D (Т_э/2T_m)I_maxR_=
э;

Переходные процессы пр= и и представлены на рисунке 5.23а, б, соответственно.

а) <= /span> б)

Рисунок 5.23

Обычно результирующий = запас ТП по напряжению экономически не целесообразен и практически не реализуется. Это приводит к тому, что в верхней части скоростного диапазона нельзя обеспечить переходный процесс в контуре тока согласно настройке на МО. Или нельзя обеспечить запас на статику.

Е_dпред =3D = k_cE_dmax - = DE_dmax;

k_c =3D 1; k_c =3D 0,9.

E_dmax =3D E= _do =3D 2,34E₂;

;

U_т^теор @ (1,7¸2);<= /p>

U_т^практ @ (1,2¸1,4).

1.3.1.3

Рисунок 5.24

Передаточная функция з= вена якорной цепи с учетом влияния внутренней обратной связи по ЭДС

Передаточная функция з= вена якорной цепи обладает дифференцирующими свойствами, благодаря чему компенсируется интегральные свойства регулятора.

Определим передаточную функцию замкнутого контура тока для данного случая с регулятором, оптимизированным в режиме заторможенного двигателя.

где .

УР: .

; ,

где I_з– заданная величина то= к в контуре тока в случае заторможенного ЭП.

Графики переходных пр= оцессов контура тока при заторможенном и расторможенном двигателе представлены на рисунке 5.25.

Рисунок 5.25

Контур тока, который с ПИ-регулятором был астатическим при заторможенном роторе, становится статическим в переходном режиме (= DЕ ¹ 0). Ошибка регулирова= ния тем больше, чем меньше постоянная времени Т_м. Другое следствие влияния ОС по ЭДС это увеличенн= ое перерегулирование. По отношению к новому установившемуся уровню тока перере= гулирование увеличивается, но по абсолютной величине остается тем же.=

Если ЭП имеет большую = Т_м, то за время выхода тока = на заданный уровень ЭДС электродвигателя практически не меняется и ее влияние = на ток минимально.

В ЭП с высокомоментным= и ЭД, где Т_м мала, вли= яние внутренней ОС по ЭДС существенно, что иногда приходится учитывать изменением передаточной функции регулятора.

Если передаточная функ= ция якорной цепи может быть представлена в виде апериодического звена второго порядка с передаточной функцией

где Т₁ + Т₂ =3D Т_м; Т₁= ×Т₂ =3D ТмТ_э.

Тогда, оптимизируя кон= тур тока на МО, будем иметь более сложный регулятор

где Т_из =3D Т₁; Т_у =3D Т₂; Т₁ > Т2;

Это регулятор типа (ПИ= )², реализация которого сложна и применяется редко.

1.= 3.2 = Оптимизация контура скорости=

Объект регулирования содержит апериодическое звено с малой постоянной времени и интегрирующее зв= ено.

Возможны два варианта оптимизации:

- на МО (контур скорос= ти однократноинтегрирующий);

- на СО (контур скорос= ти двухкратноинтегрирующий).

Кратность интегрирован= ия определяется количеством интегральных звеньев во внешнем контуре.

1.= 3.2.1 = Однократноинтегрирующая система АЭП

Структурная схема конт= ура скорости представлена на рисунке 5.26.

Рисунок 5.26

DI_с =3D 0.

;

С этим П-регулятором с= истема астатична по заданию и статична по возмущению. В целом система статическая.=

где Тс =3D 2Т_т – эквивалентная постоянная време= ни оптимизированного на МО кон= тура скорости.

УР: .

Рисунок 5.27

Гр= афик переходного процесса контура скорости представлен на рисунке 5.27. Такой характер переходного процесса будет в том случае, если все звенья системы являются линейными (не выходят на ограничение регулятора скорости). С данным регулятором контур скорости является астатическим первого порядка по задани= ю.

Пр= и подаче линейного сигнала задания появляется ошибка по скорости, т.е. система являе= тся статической по заданию. Порядок астатизма равен номеру производной во входн= ом сигнале, при котором контур становится статическим, т.е. появляется ошибка = по скорости.

Пе= редаточная функция контура скорости по возмущению

;

УР: .

По возмущению контур скорости является статическим. Величина ошибки пропорциональна I_с.

;

В некоторых случаях получается .

1.= 3.2.2 = Двукратноинтегрирующая система АЭП

Структурн= ая схема контура скорости представлена на рисунке 5.26.

СО: ;

Получили ПИ-регулятор,= у которого k_рс^(со) =3D k_рс^(мо); Т= _из =3D 4Т_т.

График переходного процесса контура скорости представлен на рисунке= 5.28а. Такой переходный процесс будет только пока все звенья контура линейные (пока регулятор скорости не вышел на ограничение) и это возможно при подаче лишь малых сигналов задания.

а) = б)

Рисунок 5.28

Такой переходный проце= сс в системах ЭП нежелателен, поэтому для уменьшения перерегулирования на входе включают фильтр.

где Тс^(со) =3D 4Т_т – эквивалентная постоянная времени оптимизированного на СО контура скорости.

Т_с^(мо) =3D 2Т_т;

Т_с^(со) =3D 4Т_т.

Гр= афик переходного процесса контура скорости с фильтром на входе представлен на ри= сунке 5.28б.

Контур скорости, оптимизированный на СО с фильтром на входе имеет быстродействие вдвое меньш= ее, чем контур, оптимизированный на МО.

Данный контур скорости является по заданию астатическим второго порядка (только при наличии 2-й производной во входном сигнале появляется ошибка). Астатизм достигнут за сч= ет уменьшения быстродействия.

При нелинейно изменяющ= емся входном сигнале задания на скорость на выходе регулятора будет сигнал, полученный в результате интегрирования и запоминания интегральной части регулятора. При появлении скоростной ошибки сигнал на выходе регулятора скорости будет изменяться, что будет приводить к изменению сигнала задания = на ток и соответственно тока, что свидетельствует о переходных процессах в приводе. Скоростная ошибка в этой системе по заданию возможна только в нача= ле и в конце отработки линейно изменяющегося сигнала задания.<= /p>

Передаточная функция контура скорости по возмущению

;

УР: .

1.= 3.3 = Реализация систем с подчинен= ным регулированием параметров

Для реализации данных = систем в конце 60-х гг. была разработана унифицированная блочная система регулятор= ов (УБСР).

В системе УБСР имеются унифицированные ячейки:

- ОУ;

- ячейки связи (ЯС);

- датчики ДС, ДТ;=

- потенциометрические разделители ПР;

- функциональные преобразователи ФП, нелинейные элементы НЭ;

- ИП – источники питан= ия (±24В).

В настоящее время сист= ема управления компактна и выполняется, как правило, на одной плате с системой управления преобразователем (как в БТУ-3601).

1.3.3.1

Рисунок 5.29

Принципиальная блочная схема однозонного АЭП представлена на рисунк= е 5.29.

1.= 3.3.2      = Расчет параметров и решающей цепи контура тока

Решающая цепь регулято= ра тока представлена на рисунке 5.30.

Передаточная функция регулятора тока

,

где ;

Т_из =3D Т_э; Т_э =3D R_от×С_от;

.

Рисунок 5.30

k_рт определ= яется из условия устойчивости системы.

Последовательность рас= чета решающих цепей регулятора тока:

1) рассчитываем Т_=
э, k_рт, k_дт, k_удтя;

2) пусть С_от =3D (0,01¸4) мкФ;

3) найдем ;

4) определим ;

5) вычислим R_зт.

Чтобы в установившемся режиме сигнал РТ не изменялся, нужно, чтобы входной ток не поступал в канал ОС.

;

а) Uзт (_m_ах) =3D U_{дт (}_m_ах) ® R_зт =3D R_дт;

6) задаемся R_1;

7) получим R_{2 =3D R₁}×k_удтя.

Численный пример расчета регулятора тока.

Дано: Рн =3D 10кВт;

U_н =3D 220В;

I_н =3D 50А;

n_н =3D 1500об/мин;

Т_э =3D 0,04с;

Т_m =3D 0,005с;

Т_м =3D 0,02с.

;

;

Е_do =3D 2,3= 4×Е_{2 (ф)};

Е_do =3D 1,3= 5×Е_{2 (л)}.

= DР_н =3D U_н×= I_н – Р_н =3D 2×= R_а×I_н² ® Ом;

R_э = » 2×R_а =3D 0,4 = Ом.

.

I_{д (м)} =3D 2×I_н =3D 100 А.

1) всегда;

2) С_от =3D 0,1 мкФ;<= /span>

3) К много Þ=    С_от =3D 1мкФ; R_от =3D 40К;

4) К;   5К £ R £ 500К;

5) U_{зт (}_m_ах) =3D U_{дт (}<= /span>_m_ах) =3D 10В = Þ R_зт =3D R_дт =3D 200К= ;

U_{зт (}_m_ах) =3D 5В; U_{дт (мах)} =3D 10В Þ К;

;

;

;

6) R₁ =3D 5= K;

7) R₂ =3D R= ₁×k_удтя =3D 5×66,6 =3D 330К.

УР: а) U_{зт (}_max₎ =3D U_дт
(_max₎;   Rзт =3D R_дт; ;

б) U_{зт (}_max₎ ¹<= /span> U_{дт (}_max₎;   Rзт = ¹ R_дт; .

Передаточная функция замкнутого контура тока по заданию

.

1.3.3.3

а)                                                               = б)

Рисунок 5.31

Решающая цепь регулято= ра скорости представлена на рисунке 5.31.

Передаточная функция регулятора тока

;

,

где k_дт =3D k_дт при R_зт =3D R_дт;

при R_зт = ¹ R_дт.

Т_из =3D 4Т_т.

Таким образом, коэффиц= иент регулятора скорости

;

;

Последовательность рас= чета решающих цепей регулятора скорости:

1) находим k_{рт, Т_из;}

2) задаемся С_ос;

3) находим R_ос;

4) определяем R_дс;

5) вычисляем R_зт;

6) получим С_ф;

7) рассчитываем R_=
3, R₄;

8) выбираем VD1, VD2.<= o:p>

Численный пример расче= та регулятора скорости.

Т_из =3D 4Т_т =3D 4×0,01 =3D 0,04; Т_т =3D 0,01.

,

где ;

n_{н тг} =3D 1500 об/мин;

U_{н тг} =3D 220 В.

;

.

;

R_а =3D 0,2 = Ом;

.

1) ;

2) С_ос =3D 0,1 мкФ;<= /span>

3) ;

4) ;

5) ;

при U_{зс (}_m_ах) =3D U_{дс (}_m_ах) R_зс =3D R_дс =3D 70К;=

при U_{зс (}_m_ах) ¹ U_{дс (}_m_ах) .

Рисунок 5.32

6) С_ф =3D ?=

;

;

(см. рисунок 5.3= 2).

7) R₄ <&= lt; R_дс; принимаем R₄ =3D 1К.

k_дс =3D k_тг= ×k_дел;

;

;

;

8) U_VD1,VD2= =3D ?

U_{зт (}_m_ах) =3D U_{рс (мах)} =3D U_VD1,2 + = DU_VD1,2;

U_VD1,2 =3D = U_зт
(м) – DU_VD1,2 =3D = 10 – 1 =3D 9В.

Передаточная функция к= онтура скорости, настроенного на симметричный оптимум с фильтром на входе

,

где .

.

УР: .

1.= 3.3.4      = Построение скоростных характеристик

;

.

.

;

k_дс =3D k_тг =3D 1,4;

С_ос =3D 0,4 мкФ;<= /span>

;

;

;

U_{дс (}_max₎ =3D k_дс = ×W₀ =3D 1,4×165 =3D 231.

В соответствии с рисун= ком 5.33, передаточная функция замкнутого контура скорости

;

УР: .

Рисунок 5.33

1.= 3.3.5      = Осциллограммы сигналов при пуске, торможении, реверсе

Осциллограммы сигнало= в при пуске, реверсе, торможении представлены на рисунке 5.34.

Рисунок 5.34

Функциональная схема с= истемы ЭП с подчиненным регулированием параметров представлена на рисунке 5.35.

Рисунок 5.35

1.= 3.4      = Построение систем АЭП с зада= нным статизмом

Фрагмент решающей цепи системы с заданным статизмом представлен на = рисунке 5.36.

Рисунок 5.36

R_ш =3D 0 ® РС П-типа

;

R_ш =3D ¥     РС ПИ-типа

D= W^{зс (со)} =3D 0;

.

1.= 3.5      = Применение задатчика интенси= вности на входе контура скорости

Без задатчика интенси= вности динамический ток двигателя, определяющий темп изменения скорости зависит от величины статической нагрузки и режима работы привода (пуск, торможение).
Пуск: I_дин =3D I_m_ах – I_с =

Торможение: I_дин =3D – (I_max = + I_c)

Для ограничения темпа изменения скорости, что требуется для ряда механизмов, на входе контура ско= рости (см. рисунок 5.37) устанавливается задатчик интенсивности (ЗИ), который определяет и задает величину динамического тока, поэтому его называют задатчиком динамического тока.

Рисунок 5.37

Рисунок 5.38

На рисунке 5.37 принято обозначение – НО – нуль-орган. Изменение интенсивности задатчика осуществля= ется уровнем ограничения НО и постоянной времени интегратора.<= /p>
Диаграммы сигналов с ЗИ представлены на рисунке 5.38.

Задатчик интенсивности устанавливает величину динамического тока, поэтому полный ток двигателя определяется величиной нагрузки и режимом работы привода.=

I_дин =3D (0,5¸0,7)I_н;

Пуск: I =3D I_дин + I_c   ;

Ток двигателя при всех возможных нагрузках не выходит на уровень максимального.<= /p>
Если темп ЗИ большой (= I_дин>I_н), то при номинальной нагр= узке привода этот темп отрабатываться не будет. РС выйдет на ограничение, задавая максимальный ток.

Торможение: I =3D I_дин + I_с

1.3.5.1

Рисунок 5.39

Осциллограммы сигналов однократно-интегрирующей системе АЭП при раб= оте от задатчика интенсивности представлены на рисунке 5.39.<= /p>
I_дин =3D 0,5×I_н; I_c =3D I_н;

.

На этапе торможения со статической нагрузкой на валу ток двигателя может не изменить своего знака<= span style=3D'mso-spacerun:yes'> и остаться того же направления.

½I_c= ½>½I_дин= ½.

Ток остается в двигате= льном режиме, тем самым удерживая излишне большой темп торможения, вызванный изли= шком нагрузки на валу.

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1&nb= sp; Замкнутые системы АЭП стабил= изации скорости

1.1&= nbsp; Оптимизация контуров регулир= ования

1.1.1 Оптимизация контура регулиро= вания на модульный оптимум, объект которого содержит большую и малую инерционности

1.1.2 Применение П-регулятора для контура, объект которого содержит большую и малую инерционности

1.1.3 Оптимизация контура на МО ко= нтура, объект которого имеет интегрирующее звено и звено с малой постоянной времен= и.

1.1.4 Оптимизация контура на СО, о= бъект которого содержит интегрирующее звено и звено с малой постоянной времени

1.2&= nbsp; Принципы построения многокон= турных АЭП

1.3 Однозонный ЭП с подчиненным регулированием параметров с обратной связью по скорости

1.= 3.1 = Оптимизация контура тока

1.= 3.1.1 = Оптимизация контура тока с заторможенным электродвигателем=

1.= 3.1.2 = О запасе тиристорного преобразователя по напряжению

1.3.1.3 Рисунок 5.24

1.= 3.2 = Оптимизация контура скорости=

1.= 3.2.1 = Однократноинтегрирующая система АЭП

1.= 3.2.2 = Двукратноинтегрирующая система АЭП

1.= 3.3 = Реализация систем с подчинен= ным регулированием параметров

1.= 3.3.2 = Расчет параметров и решающей цепи контура тока

1.= 3.3.4 = Построение скоростных характеристик

1.= 3.3.5 = Осциллограммы сигналов при пуске, торможении, реверсе

1.= 3.4 = Построение систем АЭП с зада= нным статизмом

1.= 3.5 = Применение задатчика интенси= вности на входе контура скорости

1.3.1.3

Рисунок 5.24