For a set of linear algebraic equations in matrix format,
To fill in the blank space: For a set of linear algebraic equations in matrix format,
Answer to Problem 6.1MCQ
For a set of linear algebraic equations in matrix format,
Explanation of Solution
Given:
A set of linear algebraic equations in matrix format,
If
Multiplying
This implies that the solution of the given matrix equation is
For a given matrix
Then, for given matrices
Thus, if
So, filling in the blank space in the given statement:
For a set of linear algebraic equations in matrix format,
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Chapter 6 Solutions
Power System Analysis and Design (MindTap Course List)
- Using Gauss elimination, solve the following linear algebraic equations:25x1+10x2+10x3+10x4=05x110x2+10x3=210x1+5x210x3+10x4=110x120x4=2arrow_forwardFor an NN square matrix A, in (N1) steps, the technique of Gauss elimination can transform into an ____________ matrix.arrow_forwardOne of the following method for load flow analysis requires less memory space. a-Newton- Raphson Method b-Gauss- Seidal Method c-Gauss- Jordan Method d-Gauss Methodarrow_forward
- In a 6 bus system of network, consists of 2 generator buses and remaining as load buses along with 1st reference bus, then the size of the J1 element of the Jacobian Matrix is 4x4 3 x 3 5x5 2x2arrow_forwardExplain load flow analysis of radial distribution system using fuzzy logic with neat diagramarrow_forwardIf the branch is added between old bus to the reference bus then the size of Zbus,new increased by 1. Select one: True Falsearrow_forward
- Gauss Seidal method is the least accurate method for power flow analysis. Select one: True Falsearrow_forwardWith the system shown in figures, use 100MVA as system base, and 230 kV as base voltage along the transmission line. 1. Build the Y-bus matrix without the Load. What is the element Y12 in susceptance value? 2. If you are to convert the real power load to a shunt conductance, what is the value of the conductance in per unit?arrow_forwardFor the Y bus matrix [3 * 3] shown below, if you want to remove row and column 3 by using Kron Reduction method, then Y bus matrix [2 x 2] is equal to:arrow_forward
- With the system shown in the figure, use 100MVA as system base, and 230 kV as base voltage along the transmission line. For the same system in the figure, build the Y-bus matrix without the Load. 1. What is the element Y11? Provide the susceptance value 2. What is the element Y22? Provide the susceptance valuearrow_forwardHow many rows and columns becomes zero in a Jacobian matrix due to SLACK BUS ? Why or how can you justify it ?arrow_forwardGiven E1 and E2 = 1.5 angle 0 Determine 1. Y-Bus and Z-Bus Matrix 2. Find equivalent circuit when Bus 3 iseliminated.arrow_forward
- Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning