Ads Space Available
Advertise and get free trial of personal memory assistant
To retrieve this calculator type or speak the calculator number (227am) in the input box below. Try it.
Fault Simulation of a four (4) Bank of Transformers
Solution using Gaussian elimination
I 1 + I 2 + I 3 + I 4 = Equation 1
I 1 + I 2 + I 3 + I 4 = Equation 2
I 1 + I 2 + I 3 + I 4 = Equation 3
I 1 + I 2 + I 3 + I 4 = Equation 4
For SCENARIO ANALYSIS, just change any input variable.
Z 1 = Ω Z 2 = Ω
Z 3 = Ω Z 4 = Ω
V L-G = V
Practice : Z 1 = 0.092 Ω
Z 2 = 0.097 Ω
Z 3 = 0.095 Ω
Z 4 = 0.093 Ω
V L-G = 303000 V
At H3 or Phase C of High side bushing lead connection, assume the equivalent impedance value of Z 2 = 0.50 ohms at fault location. What is the expected fault current flowing in transformer XF2?
Using back substitution to find value of I 1, I 2 and I 3.
Answer, I 1 =
XF 1 Load
current; I 1 - I 2 =
Answer, I 2 =
XF 2 Load
current; I 2 - I 3 =
Answer, I 3 =
XF 3 Load
current; I 3 - I 4 =
Answer, I 4 =
XF 4 Load
current; I 4
Result of Gaussian elimination
Important definition to remember about row echelon. The process of reducing augmented matrix in row echelon form is called Gaussian elimination
1. The first nonzero entry in each row is always 1
2. A row with more leading zero entries compare to the previous row must be located below.
3. A row with all zero entries must be below the rows having nonzero entries.
Gaussian elimination will not work properly if one of the definition is violated.
Operation 1 - The order in which any two equations are written may be interchanged.
Operation 2 - Both sides of the equation may be multiplied by the same nonzero real number.
Operation 3 - A multiple of one equation may be added to another equation.
Related Calculator
286 142 141 231 226cm
270 276
Conversion Calculator
13 14 15 16 17 18 41
43 44 45 46 47 48 49
50 51 92
