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Transcript of 1 Scheduling the TVA Hydro System Using RiverWare’s Optimization Suzanne H. Biddle, P.E. Tennessee...
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Scheduling the TVA Hydro System Using RiverWare’s Optimization
Suzanne H. Biddle, P.E.
Tennessee Valley Authority
![Page 2: 1 Scheduling the TVA Hydro System Using RiverWare’s Optimization Suzanne H. Biddle, P.E. Tennessee Valley Authority.](https://reader035.fdocuments.in/reader035/viewer/2022081519/56649efc5503460f94c0fcdc/html5/thumbnails/2.jpg)
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HL
KNOXVILLE
NASHVILLE
CHATTANOOGA
TN
KY
NC
SC
GA
AL
MS
VA
Watershed
Power Service Area
TVA region covers 40,000 sq miles
![Page 3: 1 Scheduling the TVA Hydro System Using RiverWare’s Optimization Suzanne H. Biddle, P.E. Tennessee Valley Authority.](https://reader035.fdocuments.in/reader035/viewer/2022081519/56649efc5503460f94c0fcdc/html5/thumbnails/3.jpg)
3
0
1
2
3
4
5
6
JAN FEB MAR APR MAY JUN JUL AUG SEP OCT NOV DEC
INC
HE
S
Rainfall Runoff
Average annual rainfall above Chattanooga is about 51 inches and runoff is about 22 inches
![Page 4: 1 Scheduling the TVA Hydro System Using RiverWare’s Optimization Suzanne H. Biddle, P.E. Tennessee Valley Authority.](https://reader035.fdocuments.in/reader035/viewer/2022081519/56649efc5503460f94c0fcdc/html5/thumbnails/4.jpg)
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TVA operates the reservoir system to meet multipurpose objectives
• Navigation
• Flood damage reduction
• Power generation
• Recreation
• Water quality
• Water supply
![Page 5: 1 Scheduling the TVA Hydro System Using RiverWare’s Optimization Suzanne H. Biddle, P.E. Tennessee Valley Authority.](https://reader035.fdocuments.in/reader035/viewer/2022081519/56649efc5503460f94c0fcdc/html5/thumbnails/5.jpg)
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Inputs
Future value of water
Hourly hydropower value
Inflow forecast
Initial conditions
Objectives
hourly generation preschedule
(current day + 2 forecast days)
9 day optimization using marginal costs for water
allocation
daily hydro
forecast
(14 days)
9 day optimization using block costs for daily generation schedule
3 day optimization using block costs for hourly generation schedule
River Scheduling issues two hydro forecasts each day
![Page 6: 1 Scheduling the TVA Hydro System Using RiverWare’s Optimization Suzanne H. Biddle, P.E. Tennessee Valley Authority.](https://reader035.fdocuments.in/reader035/viewer/2022081519/56649efc5503460f94c0fcdc/html5/thumbnails/6.jpg)
6Current Day
Observed Values
3 - 14 Days
Future Value of Water
14 - 120 Days
RiverWare 6-Hourly Forecast
14 Days
RiverWare Hourly
Preschedule
2 Days
Optimization covers short term, but also considers long term tradeoff
![Page 7: 1 Scheduling the TVA Hydro System Using RiverWare’s Optimization Suzanne H. Biddle, P.E. Tennessee Valley Authority.](https://reader035.fdocuments.in/reader035/viewer/2022081519/56649efc5503460f94c0fcdc/html5/thumbnails/7.jpg)
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ELE
VA
TIO
N (F
EE
T)
DECNOVOCTSEPAUGJULJUNMAYAPRMARFEBJAN
TOP OF GATES
RESERVED FOR FLOOD CONTROL
DESIRABLE JUNE 1 ELEVATION
TARGETED MINIMUM SUMMER LEVEL
FLOOD CONTROL
FILL PERIOD
RECREATION SEASON
DRAWDOWN PERIOD
MINIMUM OPERATIONS GUIDE
Many reservoirs follow seasonal guide curves
![Page 8: 1 Scheduling the TVA Hydro System Using RiverWare’s Optimization Suzanne H. Biddle, P.E. Tennessee Valley Authority.](https://reader035.fdocuments.in/reader035/viewer/2022081519/56649efc5503460f94c0fcdc/html5/thumbnails/8.jpg)
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These objectives are used in optimizing the hydro system
• Day 1 outflows are fixed• Ending targets are fixed for non-storage
tributaries and main river• Minimum flow requirements• Top and bottom of daily operating zone –
non-storage tribs and main river only• Minimum operations guides• Flood guides• Minimize spill• Special operations• Economic objective function
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What does “economic objective function” mean?
• All operating constraints must first be satisfied
• Then, with any remaining flexibility:• Maximize avoided operating cost +
delta (value of water in storage)
![Page 10: 1 Scheduling the TVA Hydro System Using RiverWare’s Optimization Suzanne H. Biddle, P.E. Tennessee Valley Authority.](https://reader035.fdocuments.in/reader035/viewer/2022081519/56649efc5503460f94c0fcdc/html5/thumbnails/10.jpg)
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Is water worth more this week or in future weeks?
Hourly Marginal Cost Forecast August 27, 2002
$0
$10
$20
$30
$40
$50
$60
$70
$80
Ma
rgin
al C
os
t ($
/MW
h)
Week 1 Week 6Week 5Week 4Week 3Week 2
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Block Cost Data from OPSYMAugust 27, 2002
MW
$200 & up
$100-$200
$90-$100
$80-$90
$70-$80
$60-$70
$50-$60
$40-$50
$30-$40
$25-$30
$20-$25
$15-$20
$11-$15
Less than $11
5000
0
500
1000
1500
2000
2500
3000
3500
4000
4500
Tue TueMonSunSatFriThurWed
After water is allocated, block cost data is used to determine which hours to run
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The reservoir system is modeled as a whole for hydropower optimization