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ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc. Lecture 24 Basic Diode Concepts

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ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Lecture 24Basic Diode Concepts

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Diodes

1. Understand diode operation and select diodes for various applications.

2. Analyze nonlinear circuits using the graphical load-line technique.

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

3. Analyze and design simple voltage-regulator circuits.

4. Solve circuits using the ideal-diode model and piecewise-linear models.

5. Understand various rectifier and wave shaping circuits.

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Fluid Analogy

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Diode-Fluid Analogy

Seat

Flapper

Pivot

Schematic diagram of a flapper valve

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Thermionic Diode

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Cat’s Whisker

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Galena (Sulphide Ore of Lead)

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Cat’s Whisker

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Semiconductor Diode

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

P-Type and N-Type Materials

http://www.ineer.org/Events/ICEE1999/Proceedings/papers/334/334.htm

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

P-N Junction

http://www.ineer.org/Events/ICEE1999/Proceedings/papers/334/334.htm

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Carrier Recombination

http://www.ineer.org/Events/ICEE1999/Proceedings/papers/334/334.htm

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Depletion Layer

http://www.ineer.org/Events/ICEE1999/Proceedings/papers/334/334.htm

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

I-V Characteristic

“On”

“Off”

Reverse Breakdown

Non-linear I-V Characteristic

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Shockley Equation

⎥⎦

⎤⎢⎣

⎡−⎟⎟

⎞⎜⎜⎝

⎛= 1exp

T

DsD nV

vIiq

kTVT =

n = Emission coefficient (1<n<2)k = 1.38 × 10–23 J/K is Boltzmann’s constant and q = 1.60 × 10–19 C is the magnitude of the electrical charge of an electron. At a temperature of 300 K, we have

mV 26≅TV

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Shockley Equation

breakdown reverse reaching until-for TDsD VvIi <<−≈

⎥⎦

⎤⎢⎣

⎡−⎟⎟

⎞⎜⎜⎝

⎛= 1exp

T

DsD nV

vIi mVq

kTVT 26≅=

TVfor exp >>⎟⎟⎠

⎞⎜⎜⎝

⎛≈ D

T

DsD v

nVvIi

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Zener Diodes

Diodes that are intended to operate in the breakdown region are called Zener diodes.

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Zener Diodes

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Load-Line Analysis of Diode Circuits

DDSS vRiV +=

Assume VSS and R are known. Find iD and vD

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

DDSS vRiV +=

Load-Line Analysis of Diode Circuits

DDSS vRiV +=

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Load-Line Analysis of Diode Circuits

mAViv

vivi

kRVV

DD

DD

DD

ss

21000

20

201000212

=→=

=→=+=

Ω==

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Load-Line Analysis of Diode Circuits

mAViv

offscalevi

mAViv

vikRVV

DD

DD

DD

DD

ss

8.0000,10

82

)(100

1000,10

100

000,10101010

==→=

=→=

=→=

+=Ω=

=

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Ideal Diode Model

The ideal diode acts as a shortcircuit for forward currentsand as an open circuit withreverse voltage applied.

iD > 0 vD < 0 → diode is in the “on” state

vD < 0 ID = 0 → diode is in the “off” state

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Assumed States for Analysis of Ideal-Diode Circuits

1. Assume a state for each diode, either on (i.e., a short circuit) or off (i.e., an open circuit). For n diodes there are 2n possible combinations of diode states.

2. Analyze the circuit to determine the current through the diodes assumed to be on and the voltage across the diodes assumed to be off.

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

3. Check to see if the result is consistent with the assumed state for each diode. Current must flow in the forward direction for diodes assumed to be on. Furthermore, the voltage across the diodes assumed to be off must be positive at the cathode (i.e., reverse bias).

4. If the results are consistent with the assumed states, the analysis is finished. Otherwise, return to step 1 and choose a different combination of diode states.

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Assumed States for Analysis of Ideal-Diode Circuits

Assume D1 off and D2 on:vD1= 7V

D1 would be on!

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Assumed States for Analysis of Ideal-Diode Circuits

Assume D1 off and D2 off:

vD1= 10V vD2= 3VBoth diodes should be on!

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Assumed States for Analysis of Ideal-Diode Circuits

Assume D1 on and D2 on:

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Assumed States for Analysis of Ideal-Diode Circuits

i1 i2

i3

mAmAmAiiiiii

mAKVi

mAK

VVi

25.175.15.0

5.063

75.14

310

132321

3

1

−=−=−=→=+

=

=Ω−

=

Not consistent with direction of current through D2!

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Assumed States for Analysis of Ideal-Diode Circuits

Assume D1 on and D2 off:

iD1=1mA

6VvD1= -3V

This works!

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Assumed States for Analysis of Ideal-Diode Circuits

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Assumed States for Analysis of Ideal-Diode Circuits

D1 on

iD

D1 off−+

D1 would be on!

This works!

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Assumed States for Analysis of Ideal-Diode Circuits

D2 on D2 off

+

−iD

Current is going the wrong way

through the diode!

VD consistent with D2 off

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Assumed States for Analysis of Ideal-Diode Circuits

D3 on

D4 on

D3 on

D4 off

D3 off

D4 off

D3 off

D4 on

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Assumed States for Analysis of Ideal-Diode Circuits

D3 on

D4 on

6.67 mA

-1.67 mA

V

mAimAiV

VVV

mAk

VkV

67.667.1310103

10202

51

)10(2

21 =−=→−

=

−==++

=Ω−−

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Assumed States for Analysis of Ideal-Diode Circuits

D3 on

D4 off10V

20V

+ -

- +

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Assumed States for Analysis of Ideal-Diode Circuits

D3 off

D4 off

Not consistent with 5 mA

current source!

ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc.

Assumed States for Analysis of Ideal-Diode Circuits

D3 off

D4 onV

50105−=

=−+−v

v

5V

5mA

+ -

+ -