Advanced Search

LasseFrost

15 Reputation

One Badge

5 years, 314 days
Contact LasseFrost

MaplePrimes Activity


These are questions asked by LasseFrost

How to get Maple to show defined variabl...

LasseFrost 15 Maple 2018
output units inert
September 30 2019
1 0

How to do "simple" vector calculation (w...

LasseFrost 15 Maple 2018
vector polar angle
September 18 2019
3 2

 

 

I want to calculate the voltage between phase 1 and phase N in an electrical circuit:

 

The vectorial formula is:

`#mover(mi("U"),mo("→"))`[L1-N]-`#mover(mi("ΔU",mathcolor = "blue"),mo("→",mathcolor = "blue"))`[L1]+`#mover(mi("ΔU",mathcolor = "#339966"),mo("→",mathcolor = "#339966"))`[N] = `#mover(mi("U",mathcolor = "red"),mo("→",mathcolor = "red"))`[L1-N]

 

Voltage drops are calculated with the current multiplied with the resistance: ΔU = I*Z[L]

 

i

 

-`#mover(mi("I",mathcolor = "blue"),mo("→",mathcolor = "blue"))`[L1]*`#mover(mi("Z",mathcolor = "#ff99cc"),mo("→",mathcolor = "#ff99cc"))`[L]+`#mover(mi("I",mathcolor = "#339966"),mo("→",mathcolor = "#339966"))`[N]*`#mover(mi("Z",mathcolor = "#ff99cc"),mo("→",mathcolor = "#ff99cc"))`[L]+`#mover(mi("U"),mo("→"))`[L1-N] = `#mover(mi("U",mathcolor = "red"),mo("→",mathcolor = "red"))`[L1-N]NULL

This is a real example with realistic values and angles. Note that i have two different vectors with the same index.

This is on purpose and the vector is different. This is because the first vector is before the resistance in the wire and

the one i want to find, is after the resistance in the wire (the red one).:

``

"(U[L1-N])=230∠0°"

"(I[L1])=20∠-30°"

"(Z[L])=0.097∠7.2°"

"(I[N])=40∠-120°"

 

The negative angles is because i am using my reference which is in 0°. And are the vector to the right of my reference is the angle negative, and is it on the left of my reference is the angle negative. I dont want to explain the vectorial diagram, because i think it will do more confusion than explaining.

 

``

"230∠0°-(20∠-30°*0.097∠7.2°)+(40∠-120°*0.097∠7.2°)=(U[L1-N])"

 

My question is, if the formula above is possible to solve in maple?

 

 

The result is calculated on my CAS-calulator:

 

"(U[L1-N])=226 V∠-0.7°"``

``


The example in Maple:

Download Example_to_Mapleprimes.mw

 

How to do simple vector addition?...

LasseFrost 15 Maple 2018
vector addition angle
August 22 2019
3 3

Hi 

I am studying Marine Engineer, and we are gonna work alot with vectors. I am using Maple as my mathematical software and i would like to know if you can do a simple vector addition in Maple?
I have tried to make a simple vector diagram to help understand my problem. 
My vector U, is my reference vector, and my two vectors I1 and I2 are the vectors i would like to plus. I know the length of both I1 and I2, and i know the angle between I1 and U and I2 and U.

If i am using my TI-nspire, i can just type in the length and angle on both I1 and I2, to my reference vector, and then plus them together. Is this possible to do in maple?

For the vectors onmy example the result of vector additon of I1+I2 = 2.42 to an angle of 48.07 degree.

The image is just for representation and is not accurate according to the lengths and angles.

Hope someone out there can help me.

 

Page 1 of 1