This document discusses power diodes and rectifiers. It provides equations for the current-voltage relationship of a diode, as well as characteristics of reverse recovery such as recovery time and reverse recovery current. It also summarizes half-wave and full-wave rectifiers, deriving equations for output voltage, current, power, and efficiency. Key points covered include the voltage and current equations for half-wave rectifiers with resistive or resistive-inductive loads, as well as equations for output voltage, current, and power in full-wave and three-phase rectifiers.

1. Formulario
DIODOS DE POTENCIA
La corriente del diodo
𝐼 𝐷 = 𝐼𝑆 (𝑒
𝑉 𝐷
𝜂𝑉𝑇⁄
− 1)
𝐼 𝐷 = 𝐶𝑜𝑟𝑟𝑖𝑒𝑛𝑡𝑒 𝑞𝑢𝑒 𝑝𝑎𝑠𝑎 𝑜 𝑎𝑡𝑟𝑎𝑣𝑖𝑒𝑠𝑎 𝑒𝑙 𝑑𝑖𝑜𝑑𝑜
𝑉𝐷 = 𝑉𝑜𝑙𝑡𝑎𝑗𝑒 𝑑𝑒 𝑑𝑖𝑜𝑑𝑜 𝑜 𝑣𝑜𝑙𝑡𝑎𝑗𝑒 𝑢𝑚𝑏𝑟𝑎𝑙
𝐼𝑠 = 𝐶𝑜𝑟𝑟𝑖𝑒𝑛𝑡𝑒 𝑑𝑒 𝑓𝑢𝑔𝑎
𝑉𝑇 = 𝑉𝑜𝑙𝑡𝑎𝑗𝑒 𝑡𝑒𝑟𝑚𝑖𝑐𝑜
𝑉𝑇 =
𝐾𝑇
𝑞
𝑞 = 1,6022𝑥10−19[𝐶]
𝑇 = (273. 15 𝑜]𝑡𝑎𝑛)[𝐾]
𝐾 = 1.3806𝑥10−23 [
𝐽
𝐾
]
𝐼𝑆𝑆 =
𝐼 𝐷
𝑒
𝑉 𝐷
𝜂𝑉𝑇⁄
− 1
Características de recuperación inversa
𝑡 𝑟𝑟 = 𝑡𝑜 + 𝑡𝑏
𝑡𝑎 ≅ 𝑡𝑏
𝐼𝑟𝑟 =
2𝑄 𝑅𝑅
𝑡 𝑟𝑟
𝑡 𝑟𝑟 = √
2𝑄 𝑅𝑅
𝑑𝑖
𝑑𝑡
𝑡𝑎 ≈ 𝑡𝑏
𝑠 𝐹 =
𝑡𝑏
𝑡𝑎
𝐼 𝑅𝑅 = 𝑡𝑎
𝑑𝑖
𝑑𝑡
𝑄 𝑅𝑅 =
1
2
𝑑𝑖
𝑑𝑡
𝑡 𝑟𝑟
2
RECTIFICADOR MONOFASICO NO
CONTROLADO
𝑤 = 2𝜋𝑓
𝑉𝑃
𝑉𝑆
=
𝑛 𝑝
𝑉𝑠
= 𝑁
𝑉 𝑚𝑃
𝑉𝑚𝑠
= 𝑁
𝑉𝑆 = 𝑉𝑅 𝑠𝑒𝑛(𝑤𝑡)
Voltaje puntual
𝑖(𝑤𝑡) =
𝑉𝑅
𝑅
𝑉𝑑𝑐 =
1
𝑇
= ∫ 𝑉𝑆(𝑤𝑡)𝑑(𝑤𝑡)
𝑇
0
Voltaje promedio
Factor de transferencia
𝑉𝑑𝑐 =
𝑉𝑃
𝑉𝑀
𝐹𝑓 =
𝑉𝑝
2
𝑉𝑝
𝜋
𝐹𝑓 =
𝑉𝑝
2
𝜋
2
𝐼0.0 =?
FACTOR DE RISADO
Factor de riso
𝐹𝑟 =
√𝜋2 − 4
2
𝑥100
POTENCIA DC
𝑃 𝐷𝐶 =
𝑉𝑝2
𝜋2 𝑅

2. POTENCIA MEDIA O ACTIVA
𝑃 = 𝑉𝑟 𝑚𝑠 ∗ 𝐼𝑟𝑚𝑠 𝑐𝑜𝑠 𝜃
𝐼𝑟𝑚𝑠 =
𝑉𝑟𝑚𝑠
𝑅
POTENCIA APARENTE
𝑆 = 𝑉𝑟 𝑚𝑠 ∗ 𝐼𝑟𝑚𝑠
FACTOR DE POTENCIA
𝑓𝑝 =
𝑃
𝑆
𝑃 = 𝐼𝑟𝑚𝑠
2
∗ 𝑅
𝑃 𝐷𝐶 = 𝑉𝐷𝐶 ∗ 𝐼 𝐷𝐶
𝑉𝐷𝐶 = 𝑉𝑂 = 𝑉𝑅 =
𝑉𝑚
𝜋
𝐼 𝐷𝐶 = 𝐼 𝑂 = 𝐼 𝑅 =
𝑉𝑂
𝑅
Rectificadores de media onda no controlados – RL
𝑉𝑚 = 𝑠𝑒𝑛(𝑤𝑡) = 𝑉𝑅 + 𝑉𝐿
𝑉𝑚 = 𝑠𝑒𝑛(𝑤𝑡) = 𝑅𝑖(𝑤𝑡) + 𝐿
𝑑𝑖
𝑑𝑡
𝑖(𝑤𝑡) = 𝑖𝑓(𝑤𝑡) + 𝑖𝑛(𝑤𝑡)
𝑖𝑓(𝑤𝑡) =
𝑉𝑚
𝑧
𝑠𝑒𝑛(𝑤𝑡 − 𝜃)
𝑧 = √ 𝑅2 + (𝑤𝐿)2
𝜃 = tan−1
(
𝑤𝐿
𝑅
)
𝑖𝑛(𝑤𝑡) = 𝐴𝑒−
𝑤𝑡
𝑤𝜏
𝜏 =
𝐿
𝑅
; 𝐴 =
𝑉𝑚
𝑧
𝑠𝑒𝑛(𝜃)
𝑖(𝑤𝐿) =
𝑉𝑚
𝑧
[𝑠𝑒𝑛(𝑤𝑡 − 𝜃) + 𝑠𝑒𝑛(𝜃)𝑒−
𝑤𝑡
𝑤𝜏]
𝑖(𝛽) =
𝑉𝑚
𝑧
[𝑠𝑒𝑛(𝑤𝑡 − 𝜃) + 𝑠𝑒𝑛(𝜃)𝑒−
𝑤𝑡
𝑤𝜏]
𝑖(𝑤𝑡) = {
𝑉𝑚
𝑧
[𝑠𝑒𝑛(𝑤𝑡 − 𝜃) + 𝑠𝑒𝑛(𝜃)𝑒−
𝑤𝑡
𝑤𝜏] ; 0 ≤ 𝑤𝑡 ≤ 𝛽
0 ; 𝛽 ≤ 𝑤𝑡 ≤ 2𝜋
𝐼 𝑜 =
1
2𝜋
∫ 𝑖(𝑤𝑡)𝑑𝑤𝑡
𝛽
0
𝐼𝑟𝑚𝑠 = √
1
2𝜋
∫ 𝑖(𝑤𝑡)2 𝑑𝑤𝑡
𝛽
0
𝑃 =
1
2𝜋
∫ 𝑣(𝑤𝑡) ∗ 𝑖(𝑤𝑡)𝑑𝑤𝑡
𝑝
0
𝑉𝑜 =
1
2𝜋
∫ 𝑉𝑚𝑑(𝑤𝑡)
𝛽
0
Rectificadores de onda completa y trifásicos
𝑉𝑜(𝑤𝑡) =
1
𝜋
{
𝑉𝑚 𝑝𝑎𝑟𝑎 0 ≤ 𝑤𝑡 ≤ 𝜋
−𝑉𝑚 𝑝𝑎𝑟𝑎 𝜋 ≤ 𝑤𝑡 ≤ 2𝜋
𝑉𝑜 =
1
𝜋
∫ 𝑉𝑚 𝑠𝑒𝑛(𝑤𝑡)𝑑(𝑤𝑡) =
2𝑉𝑚
𝜋
𝜋
0
𝐼 𝑜 =
𝑉𝑜
𝑅
=
2𝑉𝑚
𝜋𝑅
𝐼𝑟𝑚𝑠 =
𝐼 𝑚
√2
𝑉𝑜(𝑤𝑡) = 𝑉𝑜 + ∑ 𝑉𝑛 cos(𝑛𝑤𝑡 + 𝜋)
∞
𝑛=2,4…..
𝑉𝑜 =
2𝑉𝑚
𝜋
𝑉𝑛 =
2𝑉𝑚
𝜋
(
1
𝑛 − 1
−
1
𝑛 + 1
)
𝐼 𝑛 =
𝑉𝑛
𝑍 𝑛
=
𝑉𝑛
|𝑅 + 𝑗𝑛𝑤𝐿|
𝐼𝑟𝑚𝑠 = 𝑉𝑜
2
+ ∑ (
𝐼 𝑛
√2
)
∞
𝑛=2,4,6..
𝑍 𝑛 = |𝑅 + 𝑗𝑛𝑤𝐿|