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This,phasor,diagram,can,be,rotated,giving,each,phase,voltage,a,different,argument,,being,necessary,condition,that,the,order,of,the,sequence,is,respected.,being,,a,,necessary,,condition,,to,,respect,,the,,order,,of,,the,,sequence.,,The,,,minimum,,,value,,,of,,,u,,,(t),,,=,,,0..,,,Next,the,graphic,representation,to,draw,the,phasor,diagram.,the,phasor,U_S,is,120,degrees,behind,the,phasor,U_R.,First,of,all,,not,all,line,voltages,have,to,have,the,same,value,at,all,points,of,a,circuit.,Then,,the,,phase,,and,,line,,currents.,,and,,,a,,,Δ-load,,,in,,,parallel.,,,Therefore,this,circuit,has,three,phase,voltages.,remembering,that,we,are,in,direct,or,positive,sequence.,the,,,phasor,,,U_S,,,,which,,,goes,,,120,,,degrees,,,behind.,,,and,the,delta,value,or,offset,angle,,measured,in,radians.,between,,,the,,,S,,,phase,,,and,,,the,,,T,,,phase,,,(U_ST).,,,Following,the,direction,chosen,,first,is,U_RS,in,the,opposite,direction,,therefore,it,has,negative,sign.,

 

The,,angular,,frequency,,is,,equal,,to,,2,,pi,,f,,,where,,f,,is,,the,,frequency,,,50,,Hz,,in,,Europe,,,60,,Hz,,in,,America.,,Equating,,sin,,(ωt,,+,,δ),,=,,±,,1,,so,,ωt,,+,,δ,,=,,±,,90,,degrees.,,For,,,the,,,calculation,,,of,,,line,,,voltages,,,U_ST,,,and,,,U_TR,,,the,,,same,,,procedure,,,is,,,followed.,,,the,argument,of,U_R,is,zero,degrees.,As,,can,,be,,seen,,the,,RMS,,value,,of,,the,,line,,voltage,,is,,root,,of,,three,,times,,the,,RMS,,value,,of,,the,,phase,,voltage.,,and,,U_S,,at,,120,,degrees,,behind,,U_S.,,The,,three,,phase,,voltages,,have,,the,,same,,RMS,,value,,,which,,is,,called,,U.,,There,is,the,R,phase.,and,,,finally,,,the,,,equivalent,,,single-phase,,,circuit.,,,Finally,some,points,will,be,highlighted.,Observe,,,this,,,circuit,,,where,,,there,,,is,,,connected,,,a,,,Y-,,,load.,,,The,,next,,chapter,,is,,how,,to,,calculate,,phase,,and,,line,,currents,,in,,a,,Y-Load,,and,,a,,Δ-load,,in,,a,,balanced,,three-phase,,system.,,so,,,the,,,line,,,voltage,,,U_RS,,,is,,,equal,,,to,,,the,,,voltage,,,of,,,the,,,phase,,,R,,,minus,,,the,,,voltage,,,of,,,the,,,phase,,,S.,,,According,,,to,,,the,,,previous,,,equation,,,the,,,graphical,,,representation,,,of,,,phase,,,voltages,,,in,,,the,,,time,,,domain,,,,as,,,shown,,,in,,,the,,,first,,,graph.,,,series,,,impedances,,,connected,,,to,,,each,,,phase.,,,The,ends,are,joined,and,the,line,voltages,are,obtained.,but,in,this,case,the,phasor,of,the,line,voltage,U_RS,is,30,degrees,behind,the,phasor,of,the,phase,voltage,U_R.,The,,,blue,,,line,,,is,,,U_R,.,,,it,,is,,square,,root,,of,,six,,times,,the,,RMS,,value,,of,,U_R.,, bcfaf6891f

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