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Розрахунок усталеного процесу в електричному колі

Язык: украинский
Формат: курсова
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2

Міністерство освіти і науки України

Вінницький національний технічний університет

Інститут автоматики, електроніки та комп’ютерних систем управління

Факультет ФЕЛТ

Кафедра електроніки

Розрахунково-графічне завдання

Вінниця 2009

Зміст

Умова завдання

Вступ

1. Розклад напруги в ряд Фур’є

2. Обрахунок параметрів електричного кола

3. Розрахунок параметрів кола на 1,2,3,4,5 гармоніці

4. Побудова графіків і(t), e(t)

5. Знаходження потужностей

6. Визначення передаточної функції

Висновки

Література

Умова завдання

За даними варіанту розрахувати усталений процес в електричному колі при
дії на нього негармонійного сигналу ЕРС.

Дано:

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7ffffffffffffffffffffffff010101fffffffffffffffffffffffffffffffffffffffff
fffffffffffffffff010101fffffffffffffffffffffffffffffffffffffffffffffffff
fffffffff0101010c00000040092900aa000000000000007b00ba0000000000040000002
701ffff030000000000

R1 = 8 Oм;L1 = 16 · 10-3 Гн;С1 = 10 · 10-6 Ф;

R2 = 8 Ом;L2 = 12 · 10-3 Гн;С2 = 15 · 10-6 Ф;

R3 = 14 Ом;

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ffff030000000000

Em = 720 B;f = 200 Гц;

T = 1/fT = 0.005

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80fe0000000000009001010000000402001054696d6573204e657720526f6d616e00d89f
f377e19ff3772020f5779d076670040000002d01020004000000f001010008000000320a
8002e20a01000000457908000000320a8002d60801000000747908000000320aad03f205
01000000547908000000320a7d01f50501000000457908000000320a80026d0101000000
747908000000320a800237000100000065791c000000fb0280fe00000000000090010000
00020402001053796d626f6c000013070a47a0f11200d89ff377e19ff3772020f5779d07
6670040000002d01010004000000f001020008000000320a8002a809010000002b790800
0000320a8002390801000000d77908000000320a8002f403010000002d7908000000320a
8002c702010000003d791c000000fb0280fe000000000000900100000000040200105469
6d6573204e657720526f6d616e00d89ff377e19ff3772020f5779d076670040000002d01
020004000000f001010008000000320a7d01220501000000327908000000320a8002f001
01000000297908000000320a8002e5000100000028790a00000026060f000a00ffffffff
0100000000001c000000fb021400090000000000bc02000000cc0102022253797374656d
00709d07667000000a0021008a010000000001000000bcf31200040000002d0101000400
0000f0010200030000000000

Вступ

У даній роботі проведено розрахунок усталеного процесу в електричному
колі при дії на нього негармонійного сигналу ЕРС.

Для отримання результатів, були використані методи розрахунку
електричних кіл. А саме метод комплексних амплітуд, що призначений для
розрахунку кола на першій і вищій гармоніках. Використано принцип
суперпозиції, що струм в будь-якій вітці електричного кола, що
викликаний одночасно дією кількох джерел енергії, що входять в склад
цього кола дорівнює алгебраїчній сумі струмів в цій вітці, що викликані
дією кожного з джерел енергії окремо.

Відповідно до принципу суперпозиції маємо:

I(t) = I(0) + I(1) + I(2) +…+I(n)

або

I(t) = I(0) + Im(1) sin(щt + цi(1)) + Im(2)sin(щt + цi(2)) +…+
Im(n)sin(щt + цi(n)).

Практично це означає, що проводиться розрахунок еквівалентного
електричного кола по кожній гармоніці окремо, для цього всі інші ЕРС
крім однієї (к-атої) вилучаємо і визначаємо шуканий струм І(k) при дії
тільки цієї гармоніки, такі розрахунки проводимо по кожній гармоніці
починаючи з нульової.

Закони Кірхгофа. Перший закон Кірхгофа використовується для вузлів.
Відповідно до цього закону алгебраїчна сума миттєвих значень струмів
віток, які підходять до вузла електричного кола, дорівнює нулеві

? І = 0.

Другий закон Кірхгофа використовується для контурів електричного кола.

picscalex100010009000003970600000b001c0000000000040000000301080005000000
0c024f00aa00050000000902000000001c000000fb02f0ff000000000000900100000000
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040000002d010000050000000902000000001c000000fb02f1ff00000000000090010000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Ця рівність виражає собою другий закон Кірхгофа, який формулюється так:

Алгебраїчна сума спадів напруг на всіх елементах замкненого контуру
дорівнює алгебраїчній сумі електрорушійних сил цього самого контуру.

Метод вузлових напруг. Так як режим будь-якого електричного кола
характеризується рівняннями, складеними за першим й другим законами
Кірхгофа:

(q – 1) + n = (q – 1) + [p – (q – 1)] = p

рівнянь з p – невідомими струмами віток. За методом вузлових напруг
кількість рівнянь можна скоротити до (q – 1). Отже, метод вузлових
напруг (його ще називають метод вузлових потенціалів) найраціональніше
використовувати для електричних схем з малою кількістю вузлів. Суть
цього методу полягає в тому, що один вузол можна заземлити, від цього
розподіл струмів у вітках не зміниться. Потенціал заземленого вузла
стане дорівнювати нулеві.

Кількість невідомих у методі вузлових напруг дорівнює кількості рівнянь,
які треба скласти для схеми за першим законом Кірхгофа (q – 1). Метод
вузлових напруг, як і метод контурних струмів, є одним із основних
розрахункових прийомів. В тому випадку, коли (q – 1) < n, цей метод є більш економічний, ніж метод контурних струмів, n – кількість незалежних контурів схеми.Ще один метод – метод еквівалентного генератора. У будь-якій електричній схемі завжди можна виділити яку-небудь одну вітку, а іншу частину схеми незалежно від її структури й складності умовно зобразити прямокутником. Щодо виділеної вітки вся схема, позначена прямокутником, є двополюсником. Якщо двополюсник має джерела електроенергії, то його називають активним. Якщо у двополюснику немає джерел електричної енергії, то його називають пасивним.Метод еквівалентного генератора застосовують тоді, коли треба визначити струм тільки в одній вітці складеної схеми чи проаналізувати значення при зміні параметра цієї вітки. Метод оснований на принципі накладання, тому його можна застосувати тільки для лінійних електричних кіл.Оскільки розглянутий метод оснований на заміні активного двополюсника еквівалентним генератором, то його прийнято називати методом еквівалентного генератора, або методом активного двополюсника.1. 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200040000002d01010004000000f0010000030000000000ВисновкиВ даній роботі було зроблено розрахунок лінійного кола при дії на нього періодичного несинусоїдного сигналу. Визначена повна та активна потужність яку споживає коло та параметри кола на k-ій гармоніці. Побудовано графіки струму і ЕРС з урахуванням п’яти гармонік. Визначена передаточна функція і побудовано графіки АЧХ і ФЧХ.Література1. Гоноровский И.С. Радиотехнические цепи и сигналы: Учебник для вузов. – M.: Радио и связь, 1986. - 512 с.2. Зевеке Г.В., Ионкин П.А, Нетрушин А.В., Страхов С.В. Основы теории цепей: Учебник для вузов. – M.: Энергоатомиздат, 1989. - 528 с.3. Малинівський С.М. Загальна електротехніка: Підручник. – Львів: Видавництво “Бескид Біт”, 2003. - 640 с.

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