% Metadata for the PDF output \hypersetup{ pdftitle={A YN-connected three-phase supply, with a four wire cable, and a yn-connected load}, pdfauthor={Peter Jan Randewijk (peter@randewijk.dk)}, pdfsubject={Balanced three-phase circuit theory}, pdfkeywords={Balanced three-phase systems; four wire system, yn-connected loads} } .PS include(pstricks.m4) scale=1.0 # Scale set to inches cct_init # See Circuit Macros manual version 11.1.3, Section 13 "Writing macros", Example 4, Figure 82 define(`phsource',`source($1, #`Set angle to 0, draw sinusoid, restore angle' m4smp_ang = rp_ang; rp_ang = 0 sinusoid(m4h/2,twopi_/(m4h), ifelse(`$2',,,`($2)/360*twopi_+')pi_/2,-m4h/2,m4h/2) with .Origin at Here rp_ang = m4smp_ang, $3,$4,$5)') vsp=0.7 hsp=0.7 rsp=0.7 pi=3.1415927 deg=pi/180 define(`termrad_',`sourcerad_/4') define(`terminal',`circle rad termrad_') VN: dot(at (0,0)) VA: rect_(rsp, 90*deg) VB: rect_(rsp, -30*deg) VC: rect_(rsp,-150*deg) NN: (VB.x+rsp/4+hsp,VN.y) NA: (VB.x+rsp/4+hsp,VA.y+rsp/4) NB: (VB.x+rsp/4+hsp,VB.y-rsp/4) NC: (VB.x+rsp/4+hsp,VC.y-3*rsp/4) Nn: (NN.x+hsp,NN.y) Na: (NA.x+hsp,NA.y) Nb: (NB.x+hsp,NB.y) Nc: (NC.x+hsp,NC.y) Vb: (Nb.x+rsp/4,Nb.y+rsp/4) Vn: dot(at (Vb+(rect_(rsp,30*deg)))) Va: Vn+(rect_(rsp, 90*deg)) Vc: Vn+(rect_(rsp,-30*deg)) line invis right hsp/4 from Vc line invis left hsp/4 from VC phsource(from VN to VA, 0);dlabel(0,-0.25,,\mathbf{E}_{A},) phsource(from VN to VB, 240);dlabel(0,-0.25,,\mathbf{E}_{B},) phsource(from VN to VC, 120);dlabel(0,-0.25,,\mathbf{E}_{C},) ground(at VN) line from VN to NN chop 0 chop termrad_ line from VA to (VA,NA) then to (VB,NA) ebox(to NA chop 0 chop termrad_);dlabel(0,0.15,,\mathbf{Z}_{A},) line from VB to (VB,NB) ebox(to NB chop 0 chop termrad_);dlabel(0,0.15,,\mathbf{Z}_{B},) line from VC to (VC,NC) then to (VB,NC) ebox(to NC chop 0 chop termrad_);dlabel(0,0.15,,\mathbf{Z}_{C},) terminal with .c at NN terminal with .c at NA terminal with .c at NB terminal with .c at NC "$N$" at (NN.x,NN.y+termrad_) above "$A$" at (NA.x,NA.y+termrad_) above "$B$" at (NB.x,NB.y+termrad_) above "$C$" at (NC.x,NC.y+termrad_) above arrowline(from Nn to NN chop termrad_ chop termrad_); "$\mathbf{I}_N=0$" at ((1/2 between NN and Nn).x,NN.y+0.1) ebox(from NA to Na chop termrad_ chop termrad_);dlabel(0,0.15,,\mathbf{Z}_{Aa},) ebox(from NB to Nb chop termrad_ chop termrad_);dlabel(0,0.15,,\mathbf{Z}_{Bb},) ebox(from NC to Nc chop termrad_ chop termrad_);dlabel(0,0.15,,\mathbf{Z}_{Cc},) terminal with .c at Nn terminal with .c at Na terminal with .c at Nb terminal with .c at Nc "$n$" at (Nn.x,Nn.y+termrad_) above "$a$" at (Na.x,Na.y+termrad_) above "$b$" at (Nb.x,Nb.y+termrad_) above "$c$" at (Nc.x,Nc.y+termrad_) above line from Nn to Vn chop termrad_ chop 0 line from Na to (Va,Na) chop termrad_ chop 0 then to Va line from Nb to (Vb,Nb) chop termrad_ chop 0 then to Vb line from Nc to (Vc,Nc) chop termrad_ chop 0 then to Vc ebox(from Va to Vn);dlabel(0,-0.15,,\mathbf{Z}_{a},) ebox(from Vb to Vn);dlabel(0,-0.15,,\mathbf{Z}_{b},) ebox(from Vc to Vn);dlabel(0,-0.15,,\mathbf{Z}_{c},) linethick_(0.75) \psset{linecolor=darkgray} line dashed from (NB.x-rsp/8,NA.y+rsp/4) to (NB.x-rsp/8,NC.y-rsp/4) line dashed from ((1/2 between Nb and Vb).x,Na.y+rsp/4) to ((1/2 between Nb and Vb).x,Nc.y-rsp/4) dimension_(from (VC.x,NA.y+rsp/4) to (NB.x-rsp/8,NA.y+rsp/4),hsp/4,"\textbf{Supply}",50bp__,termrad_,<->) dimension_(from (NB.x-rsp/8,NA.y+rsp/4) to (Nc.x+rsp/8,NA.y+rsp/4),hsp/4,"\textbf{Line}" ,30bp__,termrad_,<->) dimension_(from (Nc.x+rsp/8,NA.y+rsp/4) to (Vc.x,NA.y+rsp/4) ,hsp/4,"\textbf{Load}" ,35bp__,termrad_,<->) .PE