Title: EE533 Power Operations Automatic Generation Control Optimization Review and Economic Dispatch
1EE533 Power OperationsAutomatic Generation
ControlOptimization Review and Economic Dispatch
2From LFC to Economic Allocation
Economic dispatch
MW
LFC distributes based on response
Units pick up load a capacity
??
LFC minutes
Governor seconds
Time
3From LFC to Economic Allocation
Economic dispatch
MW
Pref changes
Coal
Gas
Time
4The Economic dispatch problem
- Given
- N units on-line
- System Load Loss
- Equals Area Net Generation- Net Interchange when
ACE0 - Determine
- MW allocation(Schedule) for each Unit
- Minimize Fuel and Variable OM cost
- Constraints A constrained
- Unit capacity, Reserves optimization problem
5The Economic dispatch problem
CT C1(P1)C2(P2)CN(PN)
P1P2PN PT
Pimin Pi Pimax i1,2,,N
Ci(Pi) Fuel Variable OM cost (/H) unit i Pi
Net MW output Unit I Pimin, Pimax Min and
Maximum Capacity Unit i
6The Economic dispatch problem Common sense
solution
7The Economic dispatch problem Common sense
solution
8The Economic dispatch problem Common sense
solution
9The Economic dispatch problem Common sense
solution
10The Economic dispatch problem Common sense
solution
11Optimization
Unconstrained
Constrained
Continuous Discrete
Non-smooth
Smooth
Search Based
Gradient Based Method
12Optimization
Search
Gradient Based Tree-Based Stochastic
Heuristic
Based on Decomposition
Subproblems
Search
Gradient Based Tree-Based Stochastic
Heuristic
13Optimization
Min f(x) f() continuous and differentiable
scalar function X real variable Stationarity
condition df/dx0 For min d2f/dx2gt0
max
df/dx0
Local Min
df/dx0
Global Min
Convex function has a unique global minimum
14Optimization
Min f(x) f() continuous and differentiable
scalar function x real variable
vector Stationarity condition df/dx0 For min
d2f/dx2gt0
max
df/dx0
Local Min
df/dx0
Global Min
Convex function has a unique global minimum