GENERATION DISPATCH
Economic Dispatch of Fossil Units
Chee-Mun Ong, Purdue University
EE432 Economic Dispatch
1
Heat Rate/Fuel Cost vs Output Power
heat input rate of i th unit that is operating at
Hi MBtu/MWh
an output of Pi
W
(
Pi ) = Pi H
(
Pi ) MBtu/
Nodal Admittance Equation of Networks
Node Admittance Equation (NAE)
Formulation of the Node Admittance Equation
Forming Ybus
Modifying Ybus and including branches with mutually coupling
Comments on the structure of Ybus
Solution Method
Successive E
ECE 432 Homework Set 1
1.
The rms voltage and rms current at the terminals a and b of a network component are
found to be
o
o
Vab 110 10
V
Iab 80 ( 210 )
A
Vab is the rms voltage of terminal a with respect to terminal b
Iab is the rms current flowing into
ORIGIN 1
j
1
Given the following system data with per unit value on the equipment own base:
3
VG1rated 13.2 10
3
VG2rated 13.2 10
Generator 1
SG1rated 30 10 VA
Generator 2
SG2rated 60 10 VA
Transformer
STrated 100 10
3
VA
3
V
X'G1 0.14
pu
3
V
X'G2 0.14
p
Line Series Parameters
Resistance of line conductor
Inductances
flux linkage and inductances
single-phase line
bundled conductor line
three-phase line
double-circuit line
Chee-Mun Ong, Purdue University
EE432 Transmission Line Series Parameters
1
S
Power Flow Solution
Problem Formulation
Gauss Iteration Methods
Chee-Mun Ong, Purdue University
EE432 Power Flow Calculations
1
Mathematical Representation and Constraints to Consider in the
Steady-State Power Flow Problem
When every I's are known or sp
Transmission Line Models and Analysis
Lumped parameter circuit models
Series RL
Nominal P
Distributed parameter circuit model
Equivalent P circuit model
Chee-Mun Ong, Purdue University
EE432 Transmission Line Models and Analysis
1
Lumped-Parameter Ci
THREE-PHASE
SYNCHRONOUS MACHINES
construction
equivalent
i l t circuit
i it off round
d rotor
t synchronous
h
machine
hi
tests to determine equivalent circuit parameters
phasor diagrams for motoring and generating
torque and power
allowable region of ope
Single-Phase Transformer
construction and uses
voltage and current relations of an ideal transformer,
referred impedance
equivalent circuit
derivation
determining the parameters of the equivalent circuit
from the open- and short-circuit tests
perfor
3-phase Circuits
3-phase system
Wye (Y) and Delta () connections
Relationship of line and phase quantities in Y and
3-phase power expressions
Per-unit system
Chee-Mun Ong, Purdue University
EE432 3-Phase Circuit Calculations
1
3-phase System
multi-
Nodal Admittance Equation of Networks
Node Admittance Equation (NAE)
Formulation of the Node Admittance Equation
Forming Ybus
Modifying Ybus and including branches with mutually coupling
Comments on the structure of Ybus
Solution Method
Successive E
Power Flow Solution
Problem Formulation
Gauss Iteration Methods
Chee-Mun Ong, Purdue University
EE432 Power Flow Calculations
1
Mathematical Representation and Constraints to Consider in the
Steady-State Power Flow Problem
When every I's are known or sp
The Bus Impedance Model and Network
Calculations
bus impedance matrix Zbus
Thevenins equivalent and Zbus
modifying Zbus
building Zbus by adding one element at a time
obtaining Zbus from Ybus using matrix method
Chee-Mun Ong, Purdue University
11 Impedance
Symmetrical Fault Calculations
dc offset a function of point of wave on the supply voltage
at which a RL line is energized
effective reactances of synchronous generator
use of Zbus in fault calculations
selection of circuit breaker
Chee-Mun Ong, Purdue Un
Line Shunt Parameter
Review
- Gauss Law , electric potential
Capacitance of line conductor
Effect of the presence of ground
Chee-Mun Ong, Purdue University
EE432 Transmission Line Shunt Parameter
1
Gauss Law
integral form
S D .da
q encl
q encl is the