Polar Phasors

MATLAB phasors

Useful for electric phasors.
Functions:
Descripe phasors in polar as:
R = [Length Angle]

a = [30 40]
b = [10 30]
c = [40 -59]

Pkon: Complex conjugate
pkon(c) == [40 59]

Pmult: Polar multiplication
Pmult(Z,X) == Z.*X

Pdiv: Polar division
Pdiv(Z,X) == Z/X

Padd: Polar addition
Padd(X,Z) == X+Z

Psub: Polar substitution
Psub(X,Z) == X-Z

ssplot: Plot phasors
If input variable contains X,Z or R. it will be plotted as a resistance.

If input variable contains V. it will be plotted as a voltage.
If input variable contains P,S,Q. it will be plotted as a power.
If input variable contains I. it will be plotted as a current.

Other inputs such as 'A1' will not be affected by this.

The larger phasor the longer time the plotting.
Examples in the bottom took approx. 40 secs.

Example:

XL = [(0.0555*2*pi*50) 90]; %Getting the reactance from a 55.5 mH 50Hz reactor at angle +90
R = [15 0]; %Resistor at 0
Z = padd(R,XL); % Definition of impedance
V = [230 30]; % 230 volts at angle +30
I = pdiv(V,Z); %Pdiv: Polar division
S = pmult(V,pkon(I)); % pmult: Polar multiply. Pkon = Complex conjugate
P = [S(1)*cosd(S(2) ) 0];
Q = [ S(1)*sind(S(2)) 90];

spplot(S,P,Q)
spplot(XL,R,Z)
spplot(V,I)

V1 = [230 0];
V2 = [230 120];
V3 = [230 240];
I1 = [10 -10];
I2 = [11 120-7];
I3 = [7 240-8];
Isum = padd(I1,I2,I3);
spplot(V1,V2,V3,I3,I2,I1,Isum)