PHASOR ALGEBRA
5
Ecrlh 64, 1633 VHC\KQ C@NDAQC \gold thd lkep`dx qucotgtgds okrec``y dep`kydm go CL lgrlugt, coc`ysgs k sgep`gby lc`lu`ctgkos crd cmmdm com suatrcltdm `gjd lkp`cocr vdltkrs, thdy crd kbtdo rdbdrrdm tk cs vdltkrs/ Hkwdvdr, sulh vdltkrs whglh rdprdsdot sgouskgmc` tged%vcrygon qucotgtgds crd okw ekrd prkpdr`y lc``dm cs phcskrs/ ]HD KVDQC]KQ, i @dt i ad co kpdrctkr whglh prkmulds 76 ⁰ lkuotdr l`kljwgsd (llw' rktctgko kb coy phcskr tk whglh gt gs cpp`gdm cs c eu`tgp`ygon bcltkr/ i 1 C 5 %C i 1 5 %3 i 5 Oktd9 %i gs co kpdrctkr whglh prkmulds l`kljwgsd rktctgko kb 76⁰
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Transcript of PHASOR ALGEBRA
7/23/2019 PHASOR ALGEBRA
http://slidepdf.com/reader/full/phasor-algebra 1/5
Ecrlh 64, 163
VHC\KQ C@NDAQC
\gold thd lkep`dx qucotgtgds okrec``y dep`kydm go CL lgrlugt, coc`ysgs k sgep`gby lc`lu`ctgkos crd cmmdmcom suatrcltdm `gjd lkp`cocr vdltkrs, thdy crd kbtdo rdbdrrdm tk cs vdltkrs/ Hkwdvdr, sulh vdltkrwhglh rdprdsdot sgouskgmc` tged%vcrygon qucotgtgds crd okw ekrd prkpdr`y lc``dm cs phcskrs/
]HD KVDQC]KQ, i
@dt i ad co kpdrctkr whglh prkmulds 76⁰ lkuotdr l`kljwgsd (llw' rktctgko kb coy phcskr tk whglh gt g
cpp`gdm cs c eu`tgp`ygon bcltkr/
i1 C 5 %C
i1 5 %3
i 5
Oktd9
%i gs co kpdrctkr whglhprkmulds l`kljwgsd rktctgko kb
76⁰
7/23/2019 PHASOR ALGEBRA
http://slidepdf.com/reader/full/phasor-algebra 2/5
Ecrlh 64, 163
]HD LCQ]D\GCO BKQE KB QK]C]GKO
ECNOG]TMD KB ]HD VHC\KQ
Oktd9 Vhcskrs go coy qucmrcot lco ad spdlgbgdm go tdres kb thdgr rdc` (x%cxgs' com i (y%cxgs' lkepkodot
]QGNKOKED]QGL BKQE
Oktd9 ]hd pksgtgvd sgno gs usdm gb ѱ gs edcsurdm lkuotdr l`kljwgsd brke thd rdbdrdold cxgs/ ]hd odnctgvd sgno
gb ѱ gs edcsurdm l`kljwgsd/
DXVKODO]GC@ BKQE KB ]HD KVDQC]KQ
VK@CQ BKQE
7/23/2019 PHASOR ALGEBRA
http://slidepdf.com/reader/full/phasor-algebra 3/5
Ecrlh 64, 163
CMMG]GKO KB VHC\KQ\
Oktd9 Vhcskrs crd wrgttdo go thd rdltconu`cr (x iy' bkre whdo cmmgtgko gs tk ad pdrbkredm/
Gb9 C 5 X C * iW C
A 5 XA * iW A
Ecnogtumd kb thd rdsu`tcot phcskr gs
]hd phcsd pksgtgko kb thd rdsu`tcot phcskr gs
DXCEV@D9 Cmm thd bk``kwgon phcskrs
\k`utgko9
C*A 5 (X C *XA' * i(W C *W A'
7/23/2019 PHASOR ALGEBRA
http://slidepdf.com/reader/full/phasor-algebra 4/5
Ecrlh 64, 163
\TA]QCL]GKO KB VHC\KQ\
Ngvdo9
\k`utgko 9
Oktd9 Go phcskr c`ndarc, thd phcskr whglh gs tk ad suatrcltdm gs p`kttdm thrkunh 386⁰ com thdo cmmdm,
tk rktctd c phcskr thrkunh 386⁰, thd kpdrctkr (i1 5 %3' ecy ad cpp`gdm kr 3⁰/
7/23/2019 PHASOR ALGEBRA
http://slidepdf.com/reader/full/phasor-algebra 5/5
Ecrlh 64, 163
ET@G]V@GLC]GKO KB VHC\KQ\ COM LKEV@DX STCO]G]GD\
MGRG\GKO KB LKEV@DX STCO]G]GD\
MGRG\GKO KB VHC\KQ\ GO QDL]CONT@CQ BKQE
