- Load Flow Studies need to maintain the smooth operation of network system by resolve the given problems:
- Load Flow Problems
- Optimal Load Scheduling Problem
- System Control Problem
- In Load Flow Studies, we study about :
- Comprise the magnitude & phase angle of Load bus voltage
- Reactive powers at Generator buses
- Real & Reactive power flow in Transmission lines.
- Three types of Bus used in Load Flow Studies
- Swing Bus or Reference Bus or Slack Bus
- Generator Bus or Voltage Controlled Bus or PV Bus
- Load Bus or PQ Bus
- Slack Bus
- A bus which supplies the additional Real and Reactive power to recover the transmission losses.
- Generator bus must be selected as a Slack bus.
- Slack Bus usually numbered as a BUS 1 and assigned to 1 p.u.
- Specified variable - V, δ
- Without Slack bus, Load flow will not possible.
- Generator Bus
- Maintain the Voltage level to achieve the desired Reactive power injection.
- Almost 10% of all the buses are Generator Buses
- Specified variable - V, P
- Load Bus
- Almost 80% of all the buses are Load Buses.
- Specified variable - P, Q
- If two buses ith Bus and kth Bus are connected then
- Active power flow always from leading angle bus to lagging angle bus.
- Reactive power always flow from high potential bus to low potential bus.
- If there is no potential difference between them, no Reactive power will flow.
- If there is zero phase difference between both buses, Active power will not flow.
- Network load will be specified as Load Bus Matrix or Bus Admittance Matrix or Y-BUS Matrix
- Y-Bus Matrix
- Y-Bus always a square matrix (n x n).
- Y-Bus is preferred for load flow studies because it is a sparsity matrix (more number of Zero elements are present )
- Sparsity matrix are required less memory due to present of Zero element.
- If the sum of all elements in each row of Y-Bus matrix is zero than corresponding Y-Bus is not having shunt elements.
- In a given (n x n) Y-Bus matrix:
- Total number of nodes = (n+1)
- Including ground or reference node.
- Total Number of Transmission Lines = No. of Non-zero element present either in upper triangle or lower triangle.
- If degree of sparsity is inversely to No. of transmission lines, then it decreases and No. of transmission line will increases.
- If shunt capacitance/inductance are added in network, its only effects on diagonal elements of Y-Bus, off-diagonal elements remain same.
- Z-Bus Matrix
- As opposite of Y-Bus, Z-Bus is a Full matrix.
- Z-Bus is use in short circuit analysis because it will give more information about non zero elements.
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