SolutionsManual b
www.facebook.com/groups/eelajna.just
Hadi Saadat
b
ProfessorbofbElectricalbEngineeringb
MilwaukeebSchoolbofbEngineering
Milwaukee,bWisconsin
McGraw-Hill, Inc. b
,
, CONTENTS
1 THEbPOWERbSYSTEM:b ANbOVERVIEW 1
2 BASICbPRINCIPLES 5
3 GENERATORbANDb TRANSFORMERbMODELS;
THEbPER-UNITbSYSTEM 25
4 TRANSMISSIONb LINEbPARAMETERS 52
5 LINEbMODELb ANDbPERFORMANCE 68
6 POWERbFLOWbANALYSIS 107
7 OPTIMALbDISPATCHb OFbGENERATION 147
8 SYNCHRONOUSbMACHINEb TRANSIENTbANALYSIS 170
9 BALANCEDbFAULT 181
10 SYMMETRICALbCOMPONENTSb ANDbUNBALANCEDbFAULT 208
11 STABILITY 244
12 POWERbSYSTEMbCONTROL 263
i
, CHAPTER 1 PROBLEMS b b
1.1 Thebdemandbestimationbisbthebstartingbpointbforbplanningbthebfuturebelectricbpo
werbsupply.bThebconsistencybofbdemandbgrowthboverbthebyearsbhasbledbtobnumer-
bousbattemptsbtobfitbmathematicalbcurvesbtobthisbtrend.bOnebofbthebsimplestbcurvesb i
s
Pb =bP0ea(t—t0)
wherebabisbthebaveragebperbunitbgrowthbrate,bPb isbthebdemandbinbyearbt,bandbP0b isbth
ebgivenbdemandbatbyearbt0.
AssumebthebpeakbpowerbdemandbinbthebUnitedbStatesbinb1984bisb480bGWbwithb
anbaveragebgrowthbratebofb3.4bpercent.bUsingbMATLAB,bplotbthebpredicatedbpeakbd
emandbinbGWbfromb1984btob1999.bEstimatebthebpeakbpowerbdemandbforbthebyearb1
999.
Webusebthebfollowingbcommandsbtobplotbthebdemandbgrowth
t0b =b 84;b P0b =b 480;
ab =.034;
tb =(84:1:99)’;
Pb =P0*exp(a*(t-
t0));bdisp(’Predictedb Peakb Demandb-
b GW’)bdisp([t,b P])
plot(t,b P),b grid
xlabel(’Year’),b ylabel(’Peakb powerb demandb GW’)bP9
9b =P0*exp(a*(99b -b t0))
Thebresultbis
1
www.facebook.com/groups/eelajna.just
Hadi Saadat
b
ProfessorbofbElectricalbEngineeringb
MilwaukeebSchoolbofbEngineering
Milwaukee,bWisconsin
McGraw-Hill, Inc. b
,
, CONTENTS
1 THEbPOWERbSYSTEM:b ANbOVERVIEW 1
2 BASICbPRINCIPLES 5
3 GENERATORbANDb TRANSFORMERbMODELS;
THEbPER-UNITbSYSTEM 25
4 TRANSMISSIONb LINEbPARAMETERS 52
5 LINEbMODELb ANDbPERFORMANCE 68
6 POWERbFLOWbANALYSIS 107
7 OPTIMALbDISPATCHb OFbGENERATION 147
8 SYNCHRONOUSbMACHINEb TRANSIENTbANALYSIS 170
9 BALANCEDbFAULT 181
10 SYMMETRICALbCOMPONENTSb ANDbUNBALANCEDbFAULT 208
11 STABILITY 244
12 POWERbSYSTEMbCONTROL 263
i
, CHAPTER 1 PROBLEMS b b
1.1 Thebdemandbestimationbisbthebstartingbpointbforbplanningbthebfuturebelectricbpo
werbsupply.bThebconsistencybofbdemandbgrowthboverbthebyearsbhasbledbtobnumer-
bousbattemptsbtobfitbmathematicalbcurvesbtobthisbtrend.bOnebofbthebsimplestbcurvesb i
s
Pb =bP0ea(t—t0)
wherebabisbthebaveragebperbunitbgrowthbrate,bPb isbthebdemandbinbyearbt,bandbP0b isbth
ebgivenbdemandbatbyearbt0.
AssumebthebpeakbpowerbdemandbinbthebUnitedbStatesbinb1984bisb480bGWbwithb
anbaveragebgrowthbratebofb3.4bpercent.bUsingbMATLAB,bplotbthebpredicatedbpeakbd
emandbinbGWbfromb1984btob1999.bEstimatebthebpeakbpowerbdemandbforbthebyearb1
999.
Webusebthebfollowingbcommandsbtobplotbthebdemandbgrowth
t0b =b 84;b P0b =b 480;
ab =.034;
tb =(84:1:99)’;
Pb =P0*exp(a*(t-
t0));bdisp(’Predictedb Peakb Demandb-
b GW’)bdisp([t,b P])
plot(t,b P),b grid
xlabel(’Year’),b ylabel(’Peakb powerb demandb GW’)bP9
9b =P0*exp(a*(99b -b t0))
Thebresultbis
1
