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A framework for joint management of regional water-energy ... - Orbit

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Table <strong>of</strong> contents<br />

1 Introduction ............................................................................................ 1<br />

2 Context .................................................................................................... 3<br />

2.1 Economic resource allocation .................................................................... 3<br />

2.1.1 Power markets ..............................................................................................3<br />

2.1.2 Economic <strong>water</strong> allocation ............................................................................4<br />

2.2 Reservoir optimization ............................................................................... 6<br />

3 Case study: The Iberian Peninsula ....................................................... 9<br />

3.1 The <strong>water</strong>-<strong>energy</strong> nexus ........................................................................... 10<br />

3.2 Hydrological system ................................................................................ 11<br />

3.2.1 Rainfall-run<strong>of</strong>f model ................................................................................. 11<br />

3.2.2 Hydropower reservoirs................................................................................ 12<br />

3.2.3 Irrigation demand ....................................................................................... 12<br />

3.3 Power system ........................................................................................... 14<br />

3.3.1 Power demand ............................................................................................ 16<br />

3.3.2 Power supply .............................................................................................. 16<br />

3.4 Climate change ........................................................................................ 17<br />

4 Methods ................................................................................................ 21<br />

4.1 Reservoir aggregation .............................................................................. 22<br />

4.2 Stochastic dynamic programming ............................................................ 23<br />

4.2.1 Inflow: discrete Markov chain .................................................................... 23<br />

4.2.2 SDP representing irrigation as a constraint ................................................. 24<br />

4.2.3 SDP representing irrigation as a decision variable ...................................... 25<br />

4.2.4 Water value method .................................................................................... 25<br />

4.3 Stochastic dual dynamic programming ..................................................... 26<br />

4.3.1 Inflow: continuous Markov process ............................................................ 26<br />

4.3.2 Forward simulation ..................................................................................... 28<br />

4.3.3 Backward recursion .................................................................................... 29<br />

4.3.4 Convergence ............................................................................................... 31<br />

4.3.5 Comparing SDP and SDDP ......................................................................... 32<br />

5 Results and Discussion ......................................................................... 35<br />

5.1 Climate change impact on power system <strong>of</strong> the IP ................................... 35<br />

5.2 Hydro-economic modeling and power markets ........................................ 37<br />

5.3 Optimization <strong>of</strong> <strong>regional</strong> <strong>water</strong>-<strong>energy</strong> systems ....................................... 39<br />

5.4 Limitations <strong>of</strong> the study ........................................................................... 42<br />

6 Conclusions ........................................................................................... 45<br />

7 Further research .................................................................................. 47<br />

8 References ............................................................................................. 49<br />

9 Papers ................................................................................................... 55<br />

ix

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