HW Problem 1:
For each of the circuits on page 164 of your notes (Figs. D1.14, D1.15, and D1.16), show that the ABCD
parameters are as indicated on the right-hand-side of each figure.
HW Problem 2:
Recalling that many distribution circuits are radial, there is a “sending” end and a “receiving” end. Because
load, and therefore current, fluctuates over the course of a day, the receiving end voltage will also fluctuate
if the sending end voltage is constant. A common way to address this problem is to regulate the voltage at
the sending end. To accomplish this, we assume the receiving end voltage is as desired, and then, for a
given loading, compute backwards from the receiving end to the sending end to establish what the sending
end voltage needs to be in order to achieve the desired receiving end for the given loading.
In Example D1.1 of your notes, a 3-phase radial feeder is supplying 5 customer loads. The voltage of the
last bus, bus #5, is specified to be 11 kV line-to-line. Line impedances and load values are given in Fig.
D1.5 ( pg 153). Note that:
 Loads are specified as 3 phase loads
 All loads are given as constant kVA loads except the bus 4 load, which is a constant Z-load.
Below is a circuit characterizing the distribution feeder.
Problem d
Problem c
ZS1
Z12
I1
VSRC
Problem b
Z23
I2
IS1
Problem a
Z34
I3
IS2
Z45
I4
IS3
Z4
I5
We solved this problem on pp. 152-155 using KVL and KCL (and so you can use the solution given in the
book to check your work below). Now re-solve this problem using the ABCD parameters to obtain V SRC
given V5=11,000/sqrt(3). Here is the basic approach to use:
Work Problem a:
 Compute I5
 Get ABCD parameters
 Compute [ V3 I4]T
Work Problem b:
 Compute IS3 and then I3
 Get ABCD parameters
 Compute [V2 I3]T
Work Problem c:
 Compute IS2 and then I2
 Get ABCD parameters
 Compute [V1 I2]T
Work Problem d:
 Compute IS1 and then I1
 Get ABCD parameters
 Compute [VSRC I1]T
HW Problem 3: Problem 4 in course notes
HW Problem 4: Problem 9 in green notes.