Should environmental constraints be considered in linear programming based water value calculators?

Guisández, Ignacio; Pérez‐Díaz, Juan I.; Nowak, Wolfgang; Haas, Jannik

doi:10.1016/j.ijepes.2019.105662

“…To the best of our knowledge, the impact of environmental constraints on water values has only been discussed in Refs. [31,32]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

A Stochastic Dynamic Programming Model for Hydropower Scheduling with State-Dependent Maximum Discharge Constraints

Schäffer¹,

Helseth²,

Korpås³

2022

SSRN Journal

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“…Furthermore, only a very limited number of studies discuss the impact of environmental constraints on water values. To the best of our knowledge, the impact of environmental constraints on water values has only been discussed in [30] and [31]. In [31], an SDP-based model is used to evaluate the sensitivity of the water values to environmental flows and ramping restrictions.…”

Section: Introductionmentioning

confidence: 99%

“…Compared to [20], we take a broader view of state-dependencies and study a version of the maximum discharge constraint that includes dependencies on both inflow and reservoir volume. Furthermore, we apply an algorithm (SDP) that explicitly handles non-convexities, separating our work from both [30] and [20]. We give a thorough description of the complicating elements of the constraint and elaborate on how to accurately model this type of state-dependent constraint in an SDP-based scheduling model.…”

Section: Introductionmentioning

confidence: 99%

A Stochastic Dynamic Programming Model for Hydropower Scheduling with State-dependent Maximum Discharge Constraints

Schäffer¹,

Helseth²,

Korpås³

2021

Preprint

1

0

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<div>We present a medium-term hydropower scheduling model that includes state-dependent environmental constraints on maximum discharge. A stochastic dynamic programming algorithm is used to enable modelling of nonconvex relationships in the problem formulation. The model is applied in a case study of a Norwegian hydropower system with multiple reservoirs. We find that the maximum discharge constraint significantly impacts the water values and simulated operation of the hydropower system. A main finding is that the nonconvex characteristics of the environmental constraint is reflected in the water values, implying a nonconvex objective function. Operation according to the computed water values is simulated for cases with and without the environmental constraint. Even though operation of the system changes considerably when the environmental constraint is included, the total electricity generation over the year is kept constant, and the total loss in expected profit limited to less than 0.8%.</div>

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“…In [31], an SDP-based model is used to evaluate the sensitivity of the water values to environmental flows and ramping restrictions. The authors of [30] find that incorporating the same environmental constraints into a linear programming based water value model has significant impacts on the profitability of hydropower plants with one or at most two turbines.…”

Section: Introductionmentioning

confidence: 99%

“…This work considers the representation of a particular type of state-dependent environmental constraint in the mediumterm scheduling of hydropower operation using an SDP algorithm. Our work differs from [30] and [31] in the type of constraints being considered. State-dependent maximum discharge constraints are imposed by the regulator on several Norwegian reservoirs, and will most likely be implemented in other hydropower reservoirs in the future.…”

Section: Introductionmentioning

confidence: 99%

A Stochastic Dynamic Programming Model for Hydropower Scheduling with State-dependent Maximum Discharge Constraints

Schäffer¹,

Helseth²,

Korpås³

2021

Preprint

0

View full text Add to dashboard Cite

<div>We present a medium-term hydropower scheduling model that includes state-dependent environmental constraints on maximum discharge. A stochastic dynamic programming algorithm is used to enable modelling of nonconvex relationships in the problem formulation. The model is applied in a case study of a Norwegian hydropower system with multiple reservoirs. We find that the maximum discharge constraint significantly impacts the water values and simulated operation of the hydropower system. A main finding is that the nonconvex characteristics of the environmental constraint is reflected in the water values, implying a nonconvex objective function. Operation according to the computed water values is simulated for cases with and without the environmental constraint. Even though operation of the system changes considerably when the environmental constraint is included, the total electricity generation over the year is kept constant, and the total loss in expected profit limited to less than 0.8%.</div>

show abstract

Should environmental constraints be considered in linear programming based water value calculators?

Cited by 13 publications

References 21 publications

A Stochastic Dynamic Programming Model for Hydropower Scheduling with State-Dependent Maximum Discharge Constraints

A Stochastic Dynamic Programming Model for Hydropower Scheduling with State-Dependent Maximum Discharge Constraints

A Stochastic Dynamic Programming Model for Hydropower Scheduling with State-dependent Maximum Discharge Constraints

A Stochastic Dynamic Programming Model for Hydropower Scheduling with State-dependent Maximum Discharge Constraints

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