Sum of three phasors

How can I find the phasor Asum∠Bsum analytically and check it in MatLab?

If Asum∠Bsum = A1∠B1 + A2∠B2 + A3∠B3

Answer 1

[Sulaymon Eshkabilov]

If understood correctly, what you are trying to get is:

A1B1 = 2+3i;
A2B2 = 5+6i;
A3B3 = 1.5 - 3i;
Phase_AsBs = @(a,b,c) (a+b+c);

% Simulate
Phase_AsBs(A1B1, A2B2, A3B3)

ans = 8.5000 + 6.0000i

% Or furhtermore phase ansgles and abs values
Phase_AsBs_Angle_rad = @(a,b,c) [abs(a+b+c), angle(a+b+c)]; % in Radians
disp('Magnitude and Phase angle in Radians')

Magnitude and Phase angle in Radians

Phase_AsBs_Angle_rad(A1B1, A2B2, A3B3)

ans = 1×2

10.4043 0.6147

Phase_AsBs_Angle_deg = @(a,b,c) [abs(a+b+c), atan2d(imag(a+b+c), real(a+b+c))];  % in Degrees
disp('Magnitude and Phase angle in Degrees')

Magnitude and Phase angle in Degrees

Phase_AsBs_Angle_deg(A1B1, A2B2, A3B3)

ans = 1×2

10.4043 35.2176