- #1

eehelp150

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## Homework Statement

## Homework Equations

P=I*(I*)*R/2

## The Attempt at a Solution

R1 = 12

R2 = 20

L = 0.0531H

C = 265.26*10^(-6)F

W = 2*pi*60

L -> jwL = 20j

C = 1/(jwc) = -j10

Mesh equations:

Mesh 1 (left mesh, clockwise)

-Vs +I1(R1+L+C)-I2(C)=0

Mesh2 (right mesh, clockwise)

I2(C+R2)-I1(C)=0

I1=6.78-j5.09

I2=-0.68-j3.73

Hand calculated:

PowerR1 = (I1 * I1conjugate *R1)/2 = 431W

PowerR2 = (I2*I2conjugate*R2)/2 = 143W

PowerL = (I1 * I1conjugate *L)/2=j719.87VAR

PowerC = -j297.79VARWhen I simulate in MATLAB, I get different results for reactive power of L and C:

Matlab provides these following RMS Voltages:

VL = 119

VC = 53.53

PowerL = ##\frac{VL^2}{L}## = -j719.87VAR

PowerC = ##\frac{V_C^2}{C}##=j297.79VAR

Is my MATLAB simulation wrong or my hand worked calculations wrong?