Z-SERIES IN SCIENCE

QUESTION

MODULE TITLE  :  ELECTRICAL AND ELECTRONIC PRINCIPLES
TOPIC TITLE  :  COMPLEX WAVEFORMS
TUTOR MARKED ASSIGNMENT 3 (v2.1)
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© Teesside University 2011
EEP – 3 – TMA (v2.1)
Published by Teesside University Open Learning (Engineering)
School of Science & Engineering
Teesside University
Tees Valley, UK
TS1 3BA
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1
IMPORTANT
Before you start please read the following instructions carefully.
1. This assignment forms part of the formal assessment for this module.  If
you fail to reach the required standard for the assignment then you will be
allowed to resubmit but a resubmission will only be eligible for a Pass
grade, not a Merit or Distinction.
You should therefore not submit the assignment until you are reasonably
sure that you have completed it successfully.  Seek your tutor’s advice if
unsure.
2. Ensure that you indicate the number of the question you are answering.
3. Make a copy of your answers before submitting the assignment.
4. Complete all details on the front page of this TMA and return it with
the completed assignment to your support centre.
5. Your tutor’s comments on the assignment will be sent to your home
address (unless you have requested otherwise) on a separate feedback
sheet.  Your assignment will not be returned to you.
Teesside University Open Learning
(Engineering)
© Teesside University 2011
Assessment Criteria
2
This assignment relates to the properties of complex waveforms and the
application of Fourier analysis.  The assignment forms Element 3 of the
module’s assessment criteria that covers in part Learning Outcomes 2 and 4 as
indicated below.
MODULE LEARNING  OUTCOMES
Knowledge and Understanding
1. Demonstrate detailed knowledge of circuit theory relating to simple
electrical/electronic circuits,
Cognitive and Intellectual Skills
2. Apply circuit theory techniques to the solution of a.c. circuit problems,
including analysis of complex waves and Laplace transforms for the transient
analysis of networks.
Practical and Professional Skills
3. Calculate the parameters of a.c. equivalent circuits, including the solution of
two port networks.
Key Transferable Skills
4. Apply numerical skills to a variety of electrical and electronic engineering
problems relating to circuit theory and analysis.

SOLUTION

1.

(a)     Represent the complete circuit by a Z-parameter matrix
As

So, the network becomes reciprocal. Reciprocal network can be replaced by a T-equivalent circuit. So the complete circuit by a Z-parameter matrix will become

(b)    State if complete circuit is
(a)    Reciprocal
(b)    Symmetric
As

So the complete circuit is reciprocal.
2. Determine the value of Z0 for the symmetrical π-circuit.

If we see from port 2 network then Z1 and Z2 are in series with each other and parallel with Z3. So, we calculate Z0 in this way.

To find Z0, we solve Zeq and Z3 in parallel combination.

3. ATTENUATOR CONNECTION

T-PAD ATTENUATOR EQUATIONS
…… (i)
…… (ii)
Where k is the attenuator “k” factor,

In our problem, amplifier and load has impedance of 600 Ω. And power level to the line is restricted to -3dB.
So, we can find attenuator factor as follows.

So, we can find the resistance of T-pad attenutor as follows.

By putting in eqn. (i),

For R3, we can use eqn. (2).

Now our block diagram will become

4. Given data:

For one phase,

(a)

In our problem, the network is 2 side port network. So, we can find VSL and ISL as follows.

By putting values, we have

Now, we can find VSP and ISP by using formulae

And,

(b)    Sending end power = ?

(c)    If the line is modeled by π- circuit and it is short line transmission as it has length of 50 km. So its primary line coefficients can be formed as

So, we can find R, L, G, C as follows.

Similarly, for L and C we can find as follows:

So that,

Where, Z is series impedance per length and Y is shunt impedance per length.

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