**1 Answer**

written 10 months ago by | • modified 9 months ago |

Foster seeley is called as phase discriminator. Both winding's are tuned to FC. The o/p voltage changes according to phase difference between 2 winding's.

**Working:**

The voltage applied to each diode is vector sum of primary & corresponding half secondary v/g.

The o/p v/g depends on the vector sum of voltages applied to each diode.

$R_3$ & $R_4$ are adjusted such that $C_3$ & $C_4$ become negligible.

The ckt therefore has C, Ls & $C_4$ across primary winding.

$L_3$ is choke and therefore has large reactance, thereby making capacitors C and G redundant.

$\therefore$ $VL_3 = \frac{j \times L_3}{j \times L_3 - j (xc + xc_4)} .V_{12}$

$= \frac{j \times L_3}{j \times L_3} . \ V_{12}$

$XL_3 \ \gt \gt \ (XC + XG)$

$\therefore$ $VL_3 \ = V_{12}$

- Primary current, IP can be given as,

$IP = \frac{V_{12}}{jwL_1}$

- This induces voltage at secondary as,

Vs = I jwm Ip

$= I jwm \frac{V_{12}}{jwL_1}$

$V_s = I \frac{m}{L_1} V_{12}$

- The secondary ckt is

$\therefore$ $Vab = \frac{-j \times c_2}{R + j (xl_2 - xc_2)} \ V_s$

$= \frac{-j \times c_2 (- \frac{m}{L_1} V_{12})}{R + jx}$ . . . . . $( Vs = \frac{-m}{4} V_{12})$

$\therefore$ $V_{ab} = \frac{j \times c_2 \ m }{(R+ j X) L_1}$ . . . . $X = XL_2 - X c_2$

- The v/g applied to $D_1$ and $D_2$ are given by

$V_{ao} = V_{ac} + V_{12} = 1/2 V_{ab} + V_{12}$

$V_{bo} = V_{bc} + V_{12} = 1/2 V_{ab} + V_{12}$

$V_o = V_{ab} = V_{ao} - V_{bo}$

$V_o \ \alpha \ V_{ao} - V_{bo}$

**1] Case** : fin = fc

- when fin = fc & secondary is tuned to fc, due to parallel resonance,

$XL_2 = XC_2$ $\therefore$ X = 0

$\therefore$ $V_{ab} = \frac{X c_2 \ m}{RL_1} V_{12} \lt 90˚$

$V_{ab}$ leads $V_{12}$ by 90˚

$\therefore$ $V_{ab}$ leads $V_{12}$ by 90˚

1/2 $V_{ab}$ lags $V_{12}$ by 90˚

$\therefore$ $V_{ao} = V_{bo}$

$\therefore$ $V_o = 0$

**2] Case :** fin > fc

$XL_2 \gt XC_2$

$\therefore$ X becomes inductive.

$\therefore$ $V_{ab} = \frac{XC_2 \ m \ V_{12} \lt 90}{ L_1 | Z | \theta}$ . . . z = R + gx

$\therefore$ $V_{ab} = \frac{XC_3 \ m}{L_1 | z|} V_{12} \lt 90 - \theta$

$\therefore$ $V_{ab}$ leads $V_{12}$ by 90 - $\theta$

1/2 $V_{ab}$ leads $V_{12}$ by 90 - $\theta$

- 1/2 $V_{ab}$ lags $V_{12}$ by 90 + $\theta$

$\therefore$ $V_{ao} \gt V_{bo}$

$\therefore$ $Vo \ os$ Positive.

**3] Case:** fin < fc

$CL_2 \lt XC_2$

X is capacitive.

$\therefore$ $V_{ab}$ leads $V_{12}$ by 90 + $\theta$

1/2 $V_{ab} leads $V_{12}$ by 90 + $\theta$ -1/2 $V_{ab} lags $V_{12} by 90 - $\theta$ $\therefore$ $V_{ao} \lt V_{bo}$

$V_o$ goes negative with decrease in fc.

**Advantage:**

Better linearity.

Easy alignment.

**Disadvantage:**

- No amplitude limiting.