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необходимо знание всех его основных признаков.
Основные технические показатели усилителей
Важнейшими техническими показателями усилителя являются: коэффициенты
усиления (по напряжению, току и мощности), входное и выходное
сопротивления, выходная мощность, коэффициент полезного действия,
номинальное входное напряжение (чувствительность), диапазон усиливаемых
частот, динамический диапазон амплитуд и уровень собственных помех, а
также показатели, характеризующие нелинейные, частотные и фазовые
искажения усиливаемого сигнала.
Коэффициент усиления – отношение установившихся значений выходного и
входного сигналов усилителя. В зависимости от типа усиливаемой величины
различают коэффициенты усиления:
по напряжению Ku = U2 / U1;
по току Ki = I2 /I1;
по мощности Кр = Р2 / Р1,
где U1, U2, I1, I2 – действующие (или амплитудные) напряжения и токи.
Так как P1 = U1 I1 и P2 = U2 I2, то коэффициент усиления по мощности Kp
= Ku Ki.
Значение коэффициента усиления К у различных усилителей напряжения может
иметь величину порядка десятков и сотен. Но и этого в ряде случаев
недостаточно для получения на выходе усилителя сигнала требуемой
мощности. Тогда прибегают к последовательному (каскадному) включению
ряда усилительных каскадов (рисунок 3.2). Для многокаскадных
усилителейУсилительный каскад – часть усилителя, образующая одну ступень
усиления. К каскаду также может быть применено понятие – усилитель.
общий коэффициент усиления равен произведению коэффициентов усиления
отдельных каскадов. При последовательном соединении нескольких
усилительных устройств произведение их коэффициентов усиления определяет
общий коэффициент усиления системы, т.е.
Кобщ = К1 К2…. . Кn. (3.1)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Рисунок 3.2. Структурная схема многокаскадного усилителя
Коэффициент усиления, вычисленный по формуле (3.1), представляет собой
безразмерную величину. Учитывая, что в современных усилительных схемах
коэффициент усиления, выраженный в безразмерных единицах, получается
довольно громоздким числом, в электронике получил распространение способ
выражения усилительных свойств в логарифмических единицах – децибелах
(дБ). Коэффициент усиления по мощности, выраженный в децибелах, равен
KP [дБ] = 10 lg (P2/P1) = 10 lg KP. (3.2)
Поскольку мощность пропорциональна квадрату тока или напряжения, для
коэффициентов усиления по току и напряжению можно записать
соответственно:
KI [дБ] = 20 lg (I2/I1) = 20 lg KI,
KU [дБ] = 20 lg (U2/U1) = 20 lg KU. (3.2*)
Обратный переход от децибел к безразмерному числу производится при
помощи выражения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,
где N = 10 при расчете коэффициента усиления по мощности и N = 20 – при
расчетах по напряжению и току.
Широкому использованию логарифмического представления коэффициентов
усиления способствует и то, что многие направления, в которых
применяются усилители, связаны с техникой, воздействующей на чувства
человека. А восприятие человека описываются логарифмическими
зависимостями. Например, громкость звукового сигнала, по ощущениям
человека, увеличится в два раза при увеличении его мощности в 10 раз.
Если принять Кu = 1 дБ, то при определении коэффициента усиления по
напряжению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.
Следовательно, усиление равно одному децибелу, если напряжение на выходе
усилителя в 1,12 раза (на 12%) больше, чем напряжение на входе.
В технике электронных усилителей наиболее часто рассматривают
коэффициент усиления по напряжению, поэтому при его написании индекс
часто опускается. Это будет делаться также в данном пособии в
дальнейшем.
Полезно помнить, что удвоение коэффициента усиления К означает
увеличение этого показателя в децибелах KдБ на 6 дБ, а увеличение K в 10
раз – увеличение КдБ на 20 дБ. Изменение коэффициента усиления на 3 дБ
соответствует его увеличению в 2 раз, а на минус 3 дБ – уменьшению в 2
раз (примерно 0,707 от исходной величины).
Логарифмическая мера оценки удобна при анализе многокаскадных
усилителей. Действительно, общий коэффициент усиления многокаскадного
усилителя при переходе к логарифмическим единицам измерения определяется
в отличие от (3.2) суммой коэффициентов усиления отдельных каскадов,
т.е.
Kобщ [дБ] = K1 [дБ] + +К2 [дБ] +… + Кn [дБ].
Коэффициенты усиления по напряжению и току являются величинами
комплексными, что отражает наличие фазовых сдвигов усиливаемого сигнала.
Например, для коэффициента усиления по напряжению имеем: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,
или
picscalex100010009000003210100000300150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
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0200030000000000,
где Кm = (Uвых / Uвх) – модуль коэффициента усиления;
= (вых – вх) – угол сдвига фаз между выходным и входным напряжениями.
Обычно, когда рассматривают коэффициент усиления, имеют ввиду его
модуль. Фазовый сдвиг (аргумент коэффициента усиления) анализируют
отдельно. Значения, как модуля, так и фазы зависят как от величины
параметров схемы усилителя, так и от частоты усиливаемого сигнала. Для
их описания используют так называемые амплитудно-частотную и
фазо-частотную характеристики.
Частотная и фазовая характеристики
Амплитудно-частотной характеристикой (АЧХ) называется зависимость модуля
коэффициента усиления К усилителя от частоты входного сигнала f (либо от
круговой частоты = 2 f).
Примерный вид частотной характеристики изображен на рис.1.4,a.
Для оси абсцисс обычно используют логарифмический масштаб. Это вызвано
тем, что частотный диапазон современных усилителей может быть очень
велик и, если применить линейный масштаб по частоте, то такая
характеристика будет неудобна для использования, так как все нижние
частоты будут сжаты у начала координат, а область верхних частот
окажется слишком растянутой. Поэтому при построении амплитудно-частотных
характеристик частоту по оси абсцисс удобнее откладывать не в линейном,
а в логарифмическом масштабе – для каждой частоты фактически по оси
откладывается величина lg f, а подписывается значение частоты f.
picscalex100010009000003eaf300000800beef000000001400000026060f001e00ffff
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fffffffffffffffffffffffffffffffffffffffffffffff803ffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffffffffffffffffc03ffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffc10ffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc
1c3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffffffffffffffffffffffffffffffffffffffffc1e3fffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffffffffffffffffffffffffe0f0fffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffffffffe0f87ffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffe0fe1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe07f0ffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffffffffffffffffffffffffffffffffe07f07fffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffffffffffffffffc07f07fffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff040000000701
01000800000026060f000600ffffffff0100040000002701ffff04000000020101001000
000026060f001600ffffffff00003b0000002000000091000000a000000007000000fc02
0000ffffff000000040000002d01020009000000fa02000004000000ffffff0222000400
00002d010300070000001b04a200920059003c00040000002d01020009000000fa020000
00000000000000002200040000002d01040004000000f0010300030000001e0007000000
16049e0090005b003d0004000000020101000400000002010100040000002701ffff0400
00002d01020009000000fa02000004000000ffffff022200040000002d01030007000000
1b046900920020003c00040000002d010200040000002d01040004000000f00103000300
00001e000700000016046500900022003d00040000000201010015000000fb02ceff0000
00000000bc02010000000440001254696d6573204e657720526f6d616e00000004000000
2d0103000500000009020000000005000000140223003d0015000000fb02ceff00000000
0000bc02010000cc0440001254696d6573204e657720526f6d616e00cc00040000002d01
0500040000002e0101000d000000320a23003d00010004000000000090048c03ca002100
040000002e010000040000002d01030004000000f0010500050000001402ff00ffff1500
0000fb02dfff000000000000bc02010000000440001254696d6573204e657720526f6d61
6e000000040000002d0105000500000014023a005e0015000000fb02dfff000000000000
bc02010000cc0440001254696d6573204e657720526f6d616e00cc00040000002d010600
040000002e0101000d000000320a3a005e00010004000000000090048c03f2001b000400
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2d0101000400000002010100040000002701ffff040000002d01020009000000fa020000
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2d010200040000002d01040004000000f0010600040000002d01020009000000fa020000
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2d010200040000002d01040004000000f0010600040000002d01020009000000fa020000
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2d010200040000002d01040004000000f0010600040000002d01020009000000fa020000
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2d010200040000002d01040004000000f0010600040000002d01020009000000fa020000
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2d010200040000002d01040004000000f0010600040000002d01020009000000fa020000
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2d010200040000002d01040004000000f0010600040000002d01020009000000fa020000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Рисунок 3.3. Амплитудно- и фазочастотная характеристики усилителя
Коэффициент усиления на графике может быть представлен по-разному – либо
в абсолютных, либо в относительных значениях. Применение относительных
значений обусловлено значительным технологическим разбросом значений
коэффициента усиления отдельных образцов реальных усилителей. Поэтому
для удобства взаимного сопоставления АЧХ усилителей с различными
значениями Км их обычно нормируют, представляя выходной параметр в виде
относительной величины, т.е.
N(щ) = K(щ) / Kmax,
где К(щ) и Km – коэффициент усиления на частоте щ и максимальное
значение коэффициента усиления.
Очень часто коэффициент усиления отложен в децибелах. В этом случае, по
существу, по оси ординат также используется логарифмический масштаб
применительно к относительному коэффициенту усиления (коэффициенту
усиления, выраженному в «разах»).
Как видно из рисунка 3.3, а, при изменении частоты входного сигнала от
нуля до бесконечности модуль коэффициента усиления вначале возрастает,
достигая постепенно на некоторой частоте максимальной величины К0, а
затем вновь уменьшается. Основная причина этих изменений – наличие в
схеме реактивных элементов. Причиной частотных искажений является
присутствие в схеме усилителя реактивных элементов – конденсаторов,
катушек индуктивности, междуэлектродных емкостей усилительных элементов,
емкости монтажа и т.п. Зависимость величины реактивного сопротивления от
частоты не позволяет получить постоянный коэффициент усиления в широкой
полосе частот.
Фазочастотной характеристикой (ФЧХ) называют зависимость фазового сдвига
выходного сигнала относительно входного от частоты входного сигнала.
Типичный вид фазовой характеристики показан на рисунке 3.3, б. По оси
абсцисс откладываются значения частоты входного сигнала в
логарифмическом масштабе, а по оси ординат – аргумент комплексного
коэффициента усиления усилителя (в градусах или радианах) в линейном
масштабе.
На частотах, равных нулю и стремящихся к бесконечности, создаются
конечные фазовые сдвиги, так как усилитель имеет в схеме конечное число
реактивных элементов. В области средних частот рабочей полосы усилителя
фазовые сдвиги, как правило, незначительны; в области нижних и верхних
частот фазовые сдвиги возрастают.
Входное и выходное сопротивления. Усилитель можно рассматривать как
активный четырехполюсник, к входным зажимам которого подключается
источник усиливаемого сигнала, а к выходным – сопротивление нагрузки. На
рисунке 3.4. показана одна из возможных эквивалентных схем усилительного
каскада, где усилитель () представлен в виде четырехполюсника. Источник
сигнала (генератор G), подключаемый ко входу усилителя, характеризуется
величиной ЭДС Uг. и внутренним сопротивлением Rг. Усилитель одновременно
является нагрузкой для источника сигнала и источником сигнала для
внешней нагрузки Rн.
При построении схемы использована теорема об эквивалентном источнике,
согласно которой любую, сколь угодно сложную схему, всегда можно
представить в виде источника напряжения (ЭДС) и включенного
последовательно с ним резистора, соответствующего выходному
сопротивлению. Это применено при изображении генератора и выходной цепи
усилителя. С другой стороны, входную цепь любого каскада всегда можно
представить в виде резистора, соответствующего эквивалентному входному
сопротивлению такого каскада, что сделано применительно к входной цепи
усилителя и нагрузки.
picscalex100010009000003c70f00000d001500000000001400000026060f001e00ffff
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010004000000000062066402e3000c00040000002e010000040000002d010a0004000000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Рисунок 3.4. Усилитель как четырехполюсник
Входное и выходное сопротивления – важнейшие параметры усилительных
устройств. Их значения должны учитываться при согласовании усилительного
устройства как с источником входного сигнала (датчиком), так и с
нагрузкой. В общем виде значения входного и выходного сопротивлений
носят комплексный характер и являются функцией частоты. Эти зависимости
необходимо учитывать при анализе воздействия на вход усилительного
устройства непериодического сигнала, который характеризуется широким
спектром гармонических составляющих. На практике обычно для большинства
случаев ограничиваются рассмотрением только активных составляющих
входного и выходного сопротивлений. Для них справедливы следующие
выражения:
Rвх = R1 = (U1 / I1) при Rн – const,
Rвых = U2X / I2K,
где R2X – напряжение холостого хода на выходе усилителя (Rн = ??); I2К –
ток короткого замыкания (Rн = 0).
При практическом использовании усилителей большое значение имеет
соотношение величин Rг. и Rвх. Если Rг >
Rвх, то Iвх Iг. Если же Rвх и Rг соизмеримы, то необходимо знать
значения их сопротивлений для того, чтобы определить, какой уровень
сигнала будет действовать непосредственно на входе усилителя.
Рассмотрим согласование каскадов более подробно. Воспользуемся
структурной схемой рисунка 3.4, считая, что на нем изображен один каскад
многокаскадного усилителя. Источником сигнала (генератором G) может быть
как внешний источник, так и предшествующий каскад. Нагрузкой усилителя
может быть не только оконечное устройство (потребитель), но и вход
следующего каскада усилителя.
Из рисунка 3.4. видно, что на входе каскада образуется делитель
напряжения генератора из резисторов Rвых и Rвх. Напряжение Uвх = Iвх
Rвх, откуда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. (3.3)
Из анализа последнего выражения можно сделать вывод, что Uвх, всегда
будет меньше Uг. Для согласования каскадов по напряжению необходимо,
чтобы (Rвх/(Rг + Rвх)) не намного отличалось от 1. Этого можно добиться,
если будет выполняться условие Rвх>>Rг. На практике обычно считают
достаточным, чтобы Rвх > 10 Rг. Такое соотношение между Rвх и Rг
соответствует согласованию каскадов по напряжению.
Для того чтобы обеспечить согласование генератора сигнала и усилителя по
току, необходимо обеспечить условие Rвых >> Rвх.
При идеальном согласовании каскадов по напряжению или по току мощность,
передаваемая на вход последующего каскада, равна нулю, т.к при таких
согласованиях или входной ток, или входное напряжение будет равно нулю,
следовательно, будет равна нулю в обоих случаях и входная мощность. Если
же необходимо согласовывать каскады по максимуму передаваемой мощности,
то условие согласования будут иным.
Входная мощность, поступающая на вход каскада, равна Pвх = Uвх * Iвх.
Выразив Uвх и Iвх через величины рисунка 3.4. получим: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(3.4)
Для нахождения максимума Рвх в зависимости от соотношений между Rвх и
Rвых, найдем частную производную дРвх / дRвх и приравняем ее нулю. После
простых преобразований можно получить, что экстремум Pвх достигается,
если Rвх = Rг. При таком соотношении между входным и выходным
сопротивлениями достигается максимум передачи мощности, при этом,
подставив полученное соотношение в (3.4), можно получить: Pвх= Uвх2 / 4
Rвх или Pвх = Pг /2.
Выходное сопротивление усилителя, как указывалось выше, комплексно, но
для большинства практических рассмотрений можно считать его активным
Rвых Сопротивление нагрузки усилителя в общем случае обозначается Rн.
Для практического использования усилителей большое значение имеет
соотношение величин Rвых и Rн аналогичное соотношению величин Rг и Rвх
во входной цепи. Очевидно, если Rн >> Rвых, то в выходной цепи
обеспечивается согласование по напряжению (работа в режиме холостого
хода), а при Rн 1,
то частотная характеристика в области анализируемой частоты имеет завал,
а если М
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