REVIEW 3 major objections 7 minor 112 references
Power System Transition Planning: An Industry-Aligned Framework for Long-Term Optimization
T0 review · 3 major / 7 minor · reviewed 2026-08-16 · deepseek-v4-flash
Pith's one-line read This paper claims that the Power System Transition Planning framework makes multistage stochastic, industry-aligned power system planning tractable on realistic 144-bus systems by combining SDDP decomposition with parallel…
desk verdict A broad, data-rich multistage stochastic planning framework with a real modeling bug in the DTR linearization and no optimality evidence for the headline 144-bus result; worth a serious referee but needs major revision. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The engine of the paper is MC-SDDP, a Markov-chain variant of Stochastic Dual Dynamic Programming: a sampling-based Benders decomposition that builds piecewise-linear approximations of future cost-to-go functions and collapses the scenario tree into a Markov chain with one expected cost-to-go function per stage. This decomposition reduces the monolithic mixed-integer program to a sequence of much smaller stage-wise subproblems that can be solved in parallel on high-performance computing clusters. Around this engine, the paper constructs linearizations for several planning factors: a combined dynamic-thermal-rating and new-line capacity constraint handled through auxiliary binary variables, an SSSC flow-injection model with cut-in conditions handled through big-M binaries, and a state-of-charge-dependent battery degradation model expressed as linear constraints.
What would settle it
A concrete test: compute a valid lower bound for the 20-stage 144-bus problem (for example, solve the extensive-form LP relaxation or build a Lagrangian bound) and compare it with the reported $30.30$ billion best solution; if that gap is large, or if the bound exceeds the reported value, the SDDP policy is not verified. A complementary test would fix the reported first-stage decisions, simulate the policy on held-out weather and demand years, and check that realized operational costs match the claimed optimum.
Extended reading notes
Core claim
The central claim of the paper is that the PSTP framework, formulated as a multistage stochastic mixed-integer linear program and solved by Markov-chain SDDP with parallel high-performance computing, is tractable for realistic power system transition planning. In the six-bus test case, the SDDP algorithm is reported to converge to the same optimal solution as the monolithic mixed-integer program, $13.56$ billion dollars, while using less wall-clock time; the paper also computes a value of the stochastic solution of $2.17$ billion dollars on that case, showing that deterministic scenario-based planning underperforms adaptive recourse. In the larger 144-bus test case with 1000 candidate renewable zones, the framework solves problems with 2, 5, 10, and 20 transition stages on 80 cores, with the best reported solution improving from $33.89$ to $30.30$ billion dollars as the number of stages increases. The paper presents this as evidence that a broad, industry-aligned planning model need not be reduced to deterministic forecasts or toy networks to remain computable.
Load-bearing premise
The load-bearing premise is that SDDP applied to the mixed-integer PSTP problem, where convexity is lost and optimality is not guaranteed (as the paper itself states), converges to near-optimal solutions on the 144-bus case, even though the only comparison against an exact monolithic solution is the small six-bus case.
Editorial extensions
If this is right
- Multistage stochastic planning becomes feasible at operator scale: systems with hundreds of buses, thousands of candidate renewable zones, and many decision stages can be solved within planning-cycle runtimes rather than restricted to 6-24 bus academic cases.
- The model lets a planner compare, under the same uncertainty layers, conventional transmission expansion against modular non-wired alternatives such as dynamic thermal rating sensors and series compensation devices, and against storage and new clean generation.
- The reported value of the stochastic solution implies that deterministic scenario-based industry tools can understate transition cost by a material margin ($2.17$ billion on the six-bus case), so recourse-based planning may change investment recommendations.
- For a 20-year horizon, the results suggest diminishing returns beyond about five decision stages when the long-term scenarios evolve gradually, meaning planners may need only five-year decision intervals to capture most of the benefit.
Reading between the lines
- Because SDDP scales with the number of stages and scenarios rather than with subproblem size, the reported week-long runtime on 80 cores would likely grow sharply if the network were enlarged without also decomposing each stage subproblem; the paper leaves such temporal and network decomposition as future work.
- The zone-resolution experiment suggests an implicit planning guideline: roughly 1000 representative renewable zones capture nearly all of the cost benefit while staying below the regime where solution time becomes polynomial of order greater than two; comparable tuning could be applied in other regions.
- If this framework is used for regulatory decisions, the missing optimality certificate on the large case would need to be filled by a valid lower bound or confidence interval; the paper does not supply one, so an independent bound would be the next natural check.
Signed reviews
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper introduces the Power System Transition Planning (PSTP) problem, formulated as a multistage stochastic MILP with a wide range of planning factors (VRES, storage, DTR, SSSC, new transmission, CCS retrofits, etc.), geospatial input processing, and a scenario-generation pipeline based on clustering of weather and load data. The model is first solved monolithically on a 6-bus Alberta-derived test case (AESO-6), where the authors report that the stochastic dual dynamic programming (SDDP) implementation converges to the same optimal value ($13.56b) as the monolithic MILP. The framework is then applied to a 144-bus, 1000-zone test case (AESO-144) with up to 20 stages, reporting a best solution of $30.30b and a wall-clock time of about one week on 80 cores. The central claim is that this combination of model breadth, SDDP decomposition, and HPC parallelism makes industry-scale transition planning tractable.
Significance. If fully supported, the paper would constitute a substantial scalability demonstration for multistage stochastic power-system planning, with a unusually broad set of planning factors and an openly described data pipeline. The AESO-6 SDDP-vs-monolithic match is clean, and the release of test-case data and the detailed geospatial methodology are genuine strengths. However, the current manuscript does not establish the accuracy of the AESO-144 solution: the mixed-integer, non-convex nature of the model means standard SDDP lower-bound arguments do not apply, and no bound, confidence interval, or intermediate benchmark is reported. In addition, the DTR linearization in Eqs. (48)-(53) is algebraically inconsistent with the expression it is claimed to replace. These issues are load-bearing for the paper's main tractability and novelty claims, so the contribution cannot be accepted in its present form.
major comments (3)
- [§2.4.13, Eqs. (48)-(53)] The proposed DTR linearization is not equivalent to the original expression. Let A = Σ_{τ≤y} xL_{l,τ,s} and B = Σ_{τ≤y} xD_{l,τ,s}. Expanding (48) gives fl ≤ SST,N A + SST,E + (SDTR,N − SST,N) A B. Substituting V = Σ_{τ≤y} v_{l,τ,s} into (49) (with the per-stage product v_{l,y,s} constrained by (50)-(53)) gives fl ≤ SST,N A − SST,E + (SDTR,N − SST,N) V + (SST,E + SDTR,E) B. The constant term, the coefficient of B, and the replacement of A·B by Σ_{τ≤y}(xL_{τ}·xD_{τ}) are all different from (48); in general A·B ≠ Σ_{τ≤y}(xL_{τ}·xD_{τ}). Thus the DTR constraint actually implemented is not the one derived, and all results involving DTR (cases E and F in Table 5, and the AESO-144 runs) correspond to a model different from the stated formulation. The authors must correct the linearization or explicitly justify an alternative intended form.
- [§6.4 (Table 8) and §7.1] No optimality evidence is reported for the AESO-144 case. The only validation is the AESO-6 comparison in Section 6.1, which has 9 long-term scenarios, 7 subproblems, and 7,823 variables per subproblem; AESO-144 has up to 95 subproblems and 5.9×10^7 variables per subproblem. The stopping rule described in Section 6.1 (lower bound stalling after 25 iterations) is not a valid optimality certificate for a mixed-integer, non-convex SDDP, and the text itself concedes in Section 7.1 that optimality is not guaranteed. Table 8 reports only a 'Best Solution' value with no lower bound, upper-bound confidence interval, or number of iterations of the gap trajectory. Consequently, the $30.30b figure is merely the cost of a feasible policy, and the paper's headline scalability claim that the framework 'converges' to a planning solution is unsupported. The authors should report, for each AESO-144 run, the lower-bound trajectory (even if not a rigorous bound), the Monte Carlo upper-bound statistics, the stopping-rule parameters actually used, and ideally a comparison on an intermediate-size case solvable by both SDDP and a monolithic or heuristic benchmark.
- [§3 and §7.1] The statement in Section 3 that 'finite convergence is proven [58]' is misleading in context. Reference [58] concerns SDDP convergence for classes of problems with convex value functions and generally continuous recourse; it does not apply to the present model, which contains integer transition variables in every stage and, as the text acknowledges, loses convexity. The single AESO-6 instance cannot establish the reliability of the method for this non-convex problem. The authors should either provide a formal justification (e.g., under which conditions the built cuts retain validity for the mixed-integer model) or, more realistically, soften the claims and provide empirical evidence on several instances with different sizes and integer-variable structures, including a comparison against a strong lower bound (such as a convex relaxation or a Lagrangian bound) for AESO-144.
minor comments (7)
- [Eq. (36)] The index in 'V L,min ≤ vL,n,y,o,y,s ≤ V L,max' appears to be a typo; it should probably read vL,n,t,o,y,s.
- [Eqs. (3), (11)-(12), (20)] The retrofit output variable is denoted pR in constraints (11)-(12) but pC in the objective (3) and the nodal balance (20); the notation should be unified.
- [Eq. (49)] The fourth term is written as Σ_{τ≤y} v_{l,y,s}; the summation index should be τ, i.e., Σ_{τ≤y} v_{l,τ,s}.
- [Eqs. (47)-(48)] The sums use τ<y in (47) but τ≤y in (48) and (49); the convention for whether stage-y investments are available in stage-y operations or only from the next stage should be stated clearly and applied consistently.
- [Table 7] The 'Scenarios' row compares 9 (monolithic) with 144 (SDDP), but the monolithic model also embeds four short-term conditions per node; the counting of scenarios and sample paths should be explained so the comparison is meaningful.
- [References] References [8] and [26] are the same paper, and references [57] and [58] are also the same; duplicate entries should be removed.
- [Section 6.2] The sentence 'remains larger than any network in comparable work' is an unsupported superlative and should be qualified with a concrete comparative basis (e.g., number of buses, variables, subproblems, or scenarios in the cited works).
Circularity Check
No significant circularity; the derivation chain is self-contained and externally benchmarked.
full rationale
The paper's central chain — model formulation (Sec. 2), MC-SDDP decomposition (Sec. 3), scenario construction (Sec. 4), monolithic benchmark and VoSS (Sec. 5), and SDDP comparison (Sec. 6) — does not reduce to its own inputs. The AESO-6 SDDP result is validated against an independent monolithic Gurobi solve of the same model ('converging to the same optimal solution of $13.56b'), not fitted to it; the stopping rule (lower-bound stall for 25 iterations with 1e-4 tolerance) and upper-bound Monte Carlo check are standard SDDP diagnostics rather than constructed predictions. VoSS is computed by the standard definition EEV - RP with operational costs re-optimized under fixed investment decisions, which is a definitional but not circular comparison. Scenario aggregation borrows from the authors' prior work [76], but that method is independently published and the paper supplies its own out-of-sample mutual-information validation (NMI 0.7520, AMI 0.7497), so the self-citation is not load-bearing. Weather, DTR, load, cost, and technology data come from external sources (CaSPAr, IEEE-738, NREL ATB, AESO). The acknowledged lack of a guaranteed optimality gap for the mixed-integer AESO-144 case (Sec. 7.1: 'optimality is not [guaranteed]') is a correctness or evidence limitation, not circularity: the reported $30.30b best solution is an output of the algorithm, not a fitted input used to produce it. No equation in the paper defines a predicted quantity in terms of the quantity it is said to predict.
Assumptions & free parameters
free parameters (10)
- Number of representative days per node =
4
- Number of VRES candidate zones =
25 (AESO-6), 1000 (AESO-144)
- VRES area reduction factor =
10
- DTR sensor spacing =
3 km
- Value of lost load (VOLL) =
$100/MW
- Curtailment penalty =
Slightly lower than lowest fuel cost
- Battery degradation linear fit coefficients =
a1=-0.00102, b1=0.00051; a2=-0.000151, b2=0.00015 (per hour)
- Long-term scenario probabilities =
Equal (1/3 or 1/5 per state)
- Stage length =
5 years (AESO-6); 1/2/4/10 years depending on stage count (AESO-144)
- Big-M constants for SSSC cut-in =
M_f = 2 * max(SDTR, SST)
assumptions (8)
- domain assumption DC power flow approximation is adequate for transition planning
- domain assumption Short-term uncertainty is stage-wise independent and can be collapsed into a Markov chain with three to five states
- ad hoc to paper A small set of representative days (4) reproduces yearly operational statistics
- domain assumption Long-term scenarios are equally probable
- ad hoc to paper SDDP cut convergence remains valid for the mixed-integer, non-convex problem
- domain assumption CaSPAr HRDPS weather data for 2022-2023 is representative of planning-horizon climate
- domain assumption Solar and wind conversion models with eta=22% and a typical turbine power curve are adequate
- ad hoc to paper Battery degradation can be represented by the piecewise-linear fit of Figure 1
Cite this review
Pith. "Pith review of Power System Transition Planning: An Industry-Aligned Framework for Long-Term Optimization." pith.science (2026). https://pith.science/paper/HESXFE6K
@misc{pith2026250501331,
author = {Pith},
title = {Pith review of: Power System Transition Planning: An Industry-Aligned Framework for Long-Term Optimization},
year = {2026},
howpublished = {\url{https://pith.science/paper/HESXFE6K}},
note = {Machine review of arXiv:2505.01331}
}
read the original abstract
This work introduces the category of Power System Transition Planning optimization problem. It aims to shift power systems to emissions-free networks efficiently. Unlike comparable work, the framework presented here broadly applies to the industry's decision-making process. It defines a field-appropriate functional boundary focused on the economic efficiency of power systems. Namely, while imposing a wide range of planning factors in the decision space, the model maintains the structure and depth of conventional power system planning under uncertainty, which leads to a large-scale multistage stochastic programming formulation that encounters intractability in real-life cases. Thus, the framework simultaneously invokes high-performance computing defaultism. In this comprehensive exposition, we present a guideline model, comparing its scope to existing formulations, supported by a fully detailed example problem, showcasing the analytical value of the solution gained in a small test case. Then, the framework's viability for realistic applications is demonstrated by solving an extensive test case based on a realistic planning construct consistent with Alberta's power system practices for long-term planning studies. The framework resorts to Stochastic Dual Dynamic Programming as a decomposition method to achieve tractability, leveraging High-Performance Computing and parallel computation.
Figures
Figures from the paper (12 more)
Reference graph
Works this paper leans on
-
[58]
Löhndorf, D
N. Löhndorf, D. Wozabal, S. Minner, Optimizing trading decisions for hydro storage systems using approximate dual dynamic progr amming, Oper. Res. 61 (2013) 810–823
2013
-
[1]
rep., IEA, Accessed Oct
IEA, Net zero by 2050, Tech. rep., IEA, Accessed Oct. 30, 2 024 (2021)
2021
-
[2]
A. Moreira, D. Pozo, A. Street, E. Sauma, Reliable Renewa ble Gener- ation and Transmission Expansion Planning: Co-Optimizing System’s Resources for Meeting Renewable Targets, IEEE Trans. Power Syst. 32 (4) (2017) 3246–3257. doi:10.1109/TPWRS.2016.2631450
arXiv 2017
-
[3]
L. Baringo, A. Baringo, A Stochastic Adaptive Robust Opt i- mization Approach for the Generation and Transmission Expa n- sion Planning, IEEE Trans. Power Syst. 33 (1) (2018) 792–802 . doi:10.1109/TPWRS.2017.2713486
- [4]
-
[5]
A. J. Conejo, M. Carrión, J. M. Morales, Decision Making U nder Un- certainty in Electricity Markets, Springer, New York, 2010 , chapters 1 and 4 highlight practical utility of stochastic methods in regulatory environments
2010
-
[6]
NREL, Annual technology baseline, https://atb.nrel.gov/, Ac- cessed on Oct 30, 2024 (2023)
2023
-
[7]
doi:10.59327/IPCC/AR6-9789291691647.001
IPCC, Summary for policymakers, Synthesis report, Inte rgovernmen- tal Panel on Climate Change, Geneva, Switzerland, in Press ( 2023). doi:10.59327/IPCC/AR6-9789291691647.001
Show all 112 references
-
[9]
Z. Wei, L. Yang, S. Chen, Z. Ma, H. Zang, Y. Fei, A multi- stage planning model for transitioning to low-carbon integ rated elec- tric power and natural gas systems, Energy 254 (2022) 124361 . doi:10.1016/j.energy.2022.124361
2022
-
[10]
C. Li, N. Wang, X. Shen, Y. Zhang, Z. Yang, X. Tong, F. Maré chal, L. Wang, Y. Yang, Energy planning of Beijing towards low-car bon, 49 clean and efficient development in 2035, CSEE J. Power Energy S yst (2022). doi:10.17775/CSEEJPES.2021.03620
2022
-
[11]
N. Zhao, Y. Tao, F. You, Renewable power systems transit ion plan- ning using a bottom-up multi-scale optimization framework , in: Y. Ya- mashita, M. Kano (Eds.), 14th International Symposium on Pr ocess Systems Engineering, Vol. 49 of Computer Aided Chemical Eng ineer- ing, E...
2022 doi
-
[12]
Flores-Quiroz, K
A. Flores-Quiroz, K. Strunz, A distributed computing f ramework for multi-stage stochastic planning of renewable power system s with en- ergy storage as flexibility option, Appl. Energy 291 (2021) 1 16736. doi:10.1016/j.apenergy.2021.116736
2021
-
[14]
L. C. da Costa, F. S. Thome, J. D. Garcia, M. V. F. Pereira, Reliability- Constrained Power System Expansion Planning: A Stochastic Risk- A verse Optimization Approach, IEEE Trans. Power Syst. 36 (1) (2021) 97–106. doi:10.1109/TPWRS.2020.3007974
2021
-
[15]
W. Shen, J. Qiu, K. Meng, X. Chen, Z. Y. Dong, Low-Carbon Electricity Network Transition Considering Retirement of Aging Coal Generators, IEEE Trans. Power Syst. 35 (6) (2020) 4193–4205 . doi:10.1109/TPWRS.2020.2995753
2020
-
[16]
J. M. Ramirez, A. Hernandez, J. Marmolejo, A robust mult istage ap- proach to solve the generation and transmission expansion p lanning problem embedding renewable sources, Electr. Power Syst. R es. 186 (2020) 106396. doi:10.1016/j.epsr.2020.106396
2020
-
[17]
Asgharian, M
V. Asgharian, M. Abdelaziz, Voltage Stability Constra ined Low- Carbon Generation & Transmission Expansion Planning, in: E EE Can. 50 Conf. Electr. Comput. Eng., IEEE, London, ON, Canada, 2020, pp. 1–
2020
-
[18]
doi:10.1109/CCECE47787.2020.9255798
2020
-
[19]
S. L. Gbadamosi, N. I. Nwulu, A multi-period composite g eneration and transmission expansion planning model incorporating r enewable energy sources and demand response, Sustainable Energy Tec hnol. As- sess. 39 (2020) 100726. doi:10.1016/j.seta.2020.100726
2020
-
[20]
Alanazi, M
M. Alanazi, M. Mahoor, A. Khodaei, Co-optimization gen eration and transmission planning for maximizing large-scale sola r PV in- tegration, Int. J. Electr. Power Energy Syst. 118 (2020) 105 723. doi:10.1016/j.ijepes.2019.105723
2020
-
[21]
Z. Zhou, C. He, T. Liu, X. Dong, K. Zhang, D. Dang, B. Chen, Reliability-Constrained AC Power Flow-Based Co- Optimization Planning of Generation and Transmission Sys- tems With Uncertainties, IEEE Access 8 (2020) 194218–19422 7. doi:10.1109/ACCESS.2020.3032560
2020
-
[22]
Asadi Majd, E
A. Asadi Majd, E. Farjah, M. Rastegar, Composite genera tion and transmission expansion planning toward high renewable ene rgy pene- tration in Iran power grid, IET Renewable Power Gener. 14 (9) (2020) 1520–1528. doi:10.1049/iet-rpg.2019.0673
2020
-
[23]
Zeinaddini-Meymand, M
M. Zeinaddini-Meymand, M. Rashidinejad, A. Abdollahi , M. Pourakbari-Kasmaei, M. Lehtonen, A Demand-Side Managem ent- Based Model for G&TEP Problem Considering FSC Al- location, IEEE Systems Journal 13 (3) (2019) 3242–3253. doi:10.1109/JSYST.2019.2916166
2019
-
[24]
Zhang, H
H. Zhang, H. Cheng, L. Liu, S. Zhang, Q. Zhou, L. Jiang, Co ordina- tion of generation, transmission and reactive power source s expansion planning with high penetration of wind power, Int. J. Electr . Power Energy Syst. 108 (2019) 191–203. doi:10.1016/j.ijepes.20 19.01.006
2019 doi
-
[25]
Parzen, H
M. Parzen, H. Abdel-Khalek, E. Fedotova, M. Mahmood, M. M. Frysz- tacki, J. Hampp, L. Franken, L. Schumm, F. Neumann, D. Poli, A. Kiprakis, D. Fioriti, Pypsa-earth. a new global open ener gy system optimization model demonstrated in africa, Appl. Energy 34 1 (2023) 121096. doi...
2023 doi
-
[26]
C. L. Lara, J. D. Siirola, I. E. Grossmann, Electric powe r infrastructure planning under uncertainty: Stochastic dual dynamic integ er program- ming (SDDiP) and parallelization scheme, Optim. Eng. 21 (4) (2020) 1243–1281. doi:10.1007/s11081-019-09471-0. URL https://doi.org/10...
2020 doi
-
[27]
S. Hou, Y. Fan, B.-W. Yi, Long-term renewable electrici ty planning using a multistage stochastic optimization with nested dec omposition, Comput. Ind. Eng. 161 (2021) 107636. doi:10.1016/j.cie.20 21.107636
2021 doi
-
[28]
M. V. F. Pereira, L. M. V. G. Pinto, Multi-stage stochast ic optimization applied to energy planning, Math. Program. 52 (1-3) (1991) 3 59–375. doi:10.1007/BF01582895
1991 doi
-
[29]
J. Hole, A. Philpott, O. Dowson, Capacity planning of re newable energy systems using stochastic dual dynamic programming, Eu- ropean Journal of Operational Research 322 (2) (2025) 573–5 88. doi:https://doi.org/10.1016/j.ejor.2024.12.031
2025 doi
-
[30]
Denholm, T
P. Denholm, T. Mai, R. W. Kenyon, B. Kroposki, M. O’Malle y, Inertia and the power grid: A guide without the spin, Tech. Rep. NREL/ TP- 6A20-73856, National Renewable Energy Laboratory (NREL), Golden, CO, USA, Accessed Oct. 30, 2024 (2020). doi:10.2172/165982 0. URL https://ww...
2020
-
[31]
A. M. Bukar, M. Asif, Technology readiness level as- sessment of carbon capture and storage technologies, Re- newable and Sustainable Energy Rev. 200 (2024) 114578. doi:https://doi.org/10.1016/j.rser.2024.114578
2024
-
[32]
30, 2024 (2021)
Ministry of Energy, Alberta hydrogen roadmap, accesse d Oct. 30, 2024 (2021). URL https://open.alberta.ca/
2021
-
[33]
M. Rawa, Z. M. AlKubaisy, S. Alghamdi, M. M. Refaat, Z. M. Ali, S. H. A. Aleem, A techno-economic planning model for int e- grated generation and transmission expansion in modern pow er sys- tems with renewables and energy storage using hybrid Runge K utta- gradient-based opti...
-
[34]
S. M. Jordaan, C. Combs, E. Guenther, Life cycle assess- ment of electricity generation: A systematic review of spa- tiotemporal methods, Adv. Appl. Energy 3 (2021) 100058. doi:https://doi.org/10.1016/j.adapen.2021.100058
2021
-
[35]
P. C. Nikolaos, F. Marios, K. Dimitris, A review of pumpe d hydro storage systems, Energies 16 (11) (2023). doi:10.3390/en1 6114516
2023 doi
-
[36]
National Renewable Energy Laboratory, Ramping up the r amping ca- pability: India’s power system transition, Tech. Rep. NREL /TP-6A20- 77639, National Renewable Energy Laboratory (NREL), Golde n, CO, USA, Accessed Oct. 30, 2024 (2023). URL https://research-hub.nrel.gov/
2023
-
[37]
R. S. Jorge, T. R. Hawkins, E. G. Hertwich, Life cycle ass essment of electricity transmission and distribution—part 1: powe r lines and cables, Int. J. Life Cycle Assess. 17 (2012) 9–15
2012
-
[38]
Stott, J
B. Stott, J. Jardim, O. Alsac, Dc power flow revis- ited, IEEE Trans. Power Syst. 24 (3) (2009) 1290–1300. doi:10.1109/TPWRS.2009.2021235
2009
-
[39]
Abou-Jaoude, C
A. Abou-Jaoude, C. S. Lohse, L. M. Larsen, N. Guaita, I. T rivedi, F. C. Joseck, E. Hoffman, N. Stauff, K. Shirvan, A. Stein, Meta-anal ysis of advanced nuclear reactor cost estimations, Tech. rep., U.S . Department of Energy Office of Scientific and Technical Information, Acce sse...
2024
-
[40]
Y. Wang, Z. Zhou, A. Botterud, K. Zhang, Q. Ding, Stochas tic coordi- nated operation of wind and battery energy storage system co nsidering battery degradation, J. Mod. Power Syst. Clean Energy 4 (4) ( 2016) 581–592. doi:10.1007/s40565-016-0238-z
2016 doi
-
[41]
J. D. Glover, T. O. Sarma, M. S. Billinton, Power System A nalysis and Design, 6th Edition, Cengage Learning, 2012
2012
-
[43]
J. L. Higle, S. W. Wallace, Stochastic programming: Opt imization when uncertainty matters, INFORMS Trans. on Educ. 5 (2) (200 5) 9–19. doi:10.1287/educ.1053.0016. 53
-
[44]
Vanderbeck, A nested decomposition approach to a thr ee-stage, two- dimensional cutting-stock problem, Manage
F. Vanderbeck, A nested decomposition approach to a thr ee-stage, two- dimensional cutting-stock problem, Manage. Sci. 47 (6) (20 01) 864–879. doi:10.1287/mnsc.47.6.864.9809
-
[45]
URL https://www.smartwires.com/smartvalve/
SmartWires, Smartvalve: digital power flow control, Ac cessed Oct 30, 2024 (2023). URL https://www.smartwires.com/smartvalve/
2023
-
[46]
Toledo, E
F. Toledo, E. Sauma, S. Jerardino, Energy Cost Distorti on Due to Ignoring Natural Gas Network Limitations in the Scheduling of Hy- drothermal Power Systems, IEEE Trans. Power Syst. 31 (5) (20 16) 3785–3793. doi:10.1109/TPWRS.2015.2502184
-
[47]
Helseth, M
A. Helseth, M. Fodstad, B. Mo, Optimal Medium-Term Hy- dropower Scheduling Considering Energy and Reserve Capaci ty Markets, IEEE Trans. Sustainable Energy 7 (3) (2016) 934–94 2. doi:10.1109/TSTE.2015.2509447
2016
-
[48]
R. P. Liu, A. Shapiro, Risk neutral reformulation appro ach to risk averse stochastic programming, Eur. J. Oper. Res. 286 (1) (2 020) 21–
-
[49]
Alvarez, S
M. Alvarez, S. K. Rönnberg, J. Bermúdez, J. Zhong, M. H. J . Bollen, A Generic Storage Model Based on a Future Cost Piecewise-Lin ear Approximation, IEEE Trans. Smart Grid 10 (1) (2019) 878–888 . doi:10.1109/TSG.2017.2754288
2019
-
[50]
J. L. Morillo, L. Zephyr, J. F. Pérez, A. Cadena, C. L. And erson, Distribution-free chance-constrained load balance model for the oper- ation planning of hydrothermal power systems coupled with m ultiple renewable energy sources, Int. J. Electr. Power Energy Syst . 142 (2022)...
2022
-
[51]
doi:10.1016/j.ejor.2020.01.060
2020 doi
-
[52]
A. B. Philpott, V. L. de Matos, L. Kapelevich, Distribut ionally ro- bust sddp, Computational Manage. Sci. 15 (3–4) (2018) 431–4 54. doi:10.1007/s10287-018-0314-0
2018 doi
-
[53]
Guevara, F
E. Guevara, F. Babonneau, T. H. de Mello, Uncertainty dy nam- ics in energy planning models: An autoregressive and markov chain modeling approach, Comput. Ind. Eng. 191 (2024) 11008 4. doi:https://doi.org/10.1016/j.cie.2024.110084
2024
-
[54]
Löhndorf, A
N. Löhndorf, A. Shapiro, Modeling time-dependent rand omness in stochastic dual dynamic programming, Eur. J. Oper. Res. 273 (2) (2019) 650–661. doi:https://doi.org/10.1016/j.ejor.20 18.08.001
2019 doi
-
[56]
Infanger, D
G. Infanger, D. P. Morton, Cut sharing for multistage st ochastic linear programs with interstage dependency, Math. Program. 75 (2) (1996) 241–256. doi:10.1007/BF02592154
1996 doi
-
[57]
I. P. on Climate Change (IPCC), Climate Change 2021 – The Physical Science Basis: Working Group I Contribution to the Sixth Ass essment Report of the Intergovernmental Panel on Climate Change, Ca mbridge University Press, 2023
2021
-
[59]
Füllner, S
C. Füllner, S. Rebennack, Stochastic dual dynamic prog ramming and its variants – a review, Preprint, Karlsruhe Institute of Te chnology (2023). 55
2023
-
[60]
Papavasiliou, Y
A. Papavasiliou, Y. Mou, L. Cambier, D. Scieur, Applica tion of stochas- tic dual dynamic programming to the real-time dispatch of st orage under renewable supply uncertainty, IEEE Trans. Sustainab le Energy 9 (2) (2018) 547–558. doi:10.1109/TSTE.2017.2748463
2018
-
[61]
Papavasiliou, Y
A. Papavasiliou, Y. Mou, L. Cambier, D. Scieur, Applica tion of stochas- tic dual dynamic programming to the real-time dispatch of st orage under renewable supply uncertainty, IEEE Trans. Sustainab le Energy 9 (2) (2018) 547–558
2018
-
[62]
IEEE, Ieee standard for calculating the current-tempe rature relation- ship of bare overhead conductors, IEEE Std 738-2012 (Revisi on of IEEE Std 738-2006 - Incorporates IEEE Std 738-2012 Cor 1-2013) (2 013) 1– 72doi:10.1109/IEEESTD.2013.6692858
2012
-
[63]
J. Mai, K. C. Kornelsen, B. A. Tolson, V. Fortin, N. Gasse t, D. Bouhemhem, D. Schäfer, M. Leahy, F. Anctil, P. Coulibaly, The canadian surface prediction archive (caspar), Bull. Am. Me teorol. Soc. 101 (3) (2020) E341 – E356. doi:10.1175/BAMS-D-19-0143.1
2020 doi
-
[64]
URL https://developers.google.com/maps/documentation
Google maps platform documentation, Accessed Oct 30, 2 024 (2023). URL https://developers.google.com/maps/documentation
2023
-
[65]
El Hammoumi, S
A. El Hammoumi, S. Chtita, S. Motahhir, A. El Ghzizal, So lar pv en- ergy: From material to use, and the most commonly used techni ques to maximize the power output of pv systems: A focus on solar tr ack- ers and floating solar panels, Energy Reports 8 (2022) 11992– 12010. doi:...
2022 doi
-
[66]
30, 2024 (2024)
AESO, Bulk transmission line technical requirements s ection 503.22, https://www.aeso.ca/rules-standards-and-tariff/, Ac- cessed Oct. 30, 2024 (2024)
2024
-
[67]
30, 2024 (2024)
PV Education, Photovoltaic education network, Access ed Oct. 30, 2024 (2024). URL https://www.pveducation.org/
2024
-
[68]
Burton, N
T. Burton, N. Jenkins, D. Sharpe, E. Bossanyi, Wind Ener gy Hand- book, 2nd Edition, John Wiley & Sons, Chichester, West Susse x, UK, 2011
2011
-
[69]
S. N. Laboratories, Pv performance modeling collabora tive (pvpmc), Accessed Oct. 30, 2024 (2013). URL https://pvpmc.sandia.gov/
2013
-
[70]
Wind, Wind Turbine Platform 1S MW, Accessed Oct
G. Wind, Wind Turbine Platform 1S MW, Accessed Oct. 30, 2 024 (2023). URL https://www.goldwindamericas.com/
2023
-
[71]
30, 2024 (2024)
AESO, Transmission utilization map, https://www.aeso.ca/grid/, Accessed Oct. 30, 2024 (2024)
2024
-
[72]
D. J. Berndt, J. Clifford, Using dynamic time warping to fi nd patterns in time series, in: KDD Workshop, 1994, pp. 359–370. 56
1994
-
[73]
30, 2024 (2 024)
Canadian Parks and Wilderness Society (CPA WS) Norther n Alberta, Government of alberta’s renewable energy policy fails to pr otect nature, hinders economic diversification, Accessed Oct. 30, 2024 (2 024). URL https://cpawsnab.org/
2024
-
[74]
30, 2024 (2022)
AESO, Hourly load by area and region, https://www.aeso.ca/ market/, Accessed Oct. 30, 2024 (2022)
2022
-
[75]
30, 2024 (2024)
Alberta Electric System Operator, Transmission costs , https: //www.aeso.ca/grid/grid-planning/transmission-costs/, Ac- cessed Oct. 30, 2024 (2024)
2024
-
[76]
Al-Shafei, Aeso test cases, https://github.com/SolidAhmad/ AESO-test-cases.git, Accessed Nov
A. Al-Shafei, Aeso test cases, https://github.com/SolidAhmad/ AESO-test-cases.git, Accessed Nov. 2, 2024 (2024)
2024
-
[77]
Romano, N
S. Romano, N. X. Vinh, J. Bailey, K. Verspoor, Adjusting for chance clustering comparison measures, J. Mach. Learn. Res. 17 (1) (2016) 4635–4666
2016
-
[78]
Shokoohi-Yekta, J
M. Shokoohi-Yekta, J. Wang, E. J. Keogh, On the non-triv ial gener- alization of dynamic time warping to the multi-dimensional case, in: SDM, 2015, pp. 289–297
2015
-
[79]
Sarajpoor, L
N. Sarajpoor, L. Rakai, N. Amjady, H. Zareipour, Genera lizing time ag- gregation to out-of-sample data using minimum bipartite gr aph match- ing for power systems studies, IEEE Trans. Power Syst. 39 (3) (2024) 5352–5365. doi:10.1109/TPWRS.2023.3327969
2024
-
[80]
3 0, 2024 (2024)
Government of Canada, Cmip6 scenarios, Accessed Oct. 3 0, 2024 (2024). URL https://climate-scenarios.canada.ca/?page= cmip6-scenarios
2024
-
[81]
N. X. Vinh, J. Epps, J. Bailey, Information theoretic me asures for clusterings comparison: is a correction for chance nece ssary?, in: Information theoretic measures for clusterings compar ison: is a correction for chance necessary?, ICML ’09, Association f or Computing Machi...
2009
-
[82]
group/en/unpacking-nuclear/latest-ipcc-climate-repo rt, Ac- cessed Oct
Orano Group, Latest IPCC climate report, https://www.orano. group/en/unpacking-nuclear/latest-ipcc-climate-repo rt, Ac- cessed Oct. 30, 2024 (2024). 57
2024
-
[83]
Karimi, P
H. Karimi, P. Musilek, A. Knight, Dynamic thermal ratin g of trans- mission lines: A review, Renewable Sustainable Energy Rev. (2018) 600–612doi:https://doi.org/10.1016/j.rser.2018.04.001
2018 doi
-
[84]
30, 2024 (2023)
Laki Power, Lkx-multi, Accessed Oct. 30, 2024 (2023). URL https://www.lakipower.com/lkxmulti
2023
-
[85]
X. Rui, M. Sahraei-Ardakani, T. R. Nudell, Linear model ling of series facts devices in power system operation models, IET Gener. T ransm. Distrib. 16 (6) (2022) 1047–1063. doi:10.1049/gtd2.12348
2022 doi
-
[86]
W. E. Hart, J.-P. Watson, D. L. Woodruff, Pyomo: modeling and solving mathematical programs in python, Math. Program. Co mput. 3 (3) (2011) 219–260
2011
-
[87]
pdf, Accessed Oct
AESO, Summary of pricing and mitigation approaches in other jurisdictions, https://www.aeso.ca/assets/Uploads/ Attachment-1-Pricing-Approaches-in-Other-Jurisdicti ons-FINAL. pdf, Accessed Oct. 30, 2024 (2019)
2019
-
[88]
Klinge Jacobsen, S
H. Klinge Jacobsen, S. T. Schröder, Curtailment of rene wable generation: Economic optimality and incentives, Energy Po l- icy 49 (2012) 663–675, special Section: Fuel Poverty Comes of Age: Commemorating 21 Years of Research and Policy. doi:https://doi.org/10.1016/j.enpol.2012.07.004
2012 doi
-
[89]
30, 2024 (2023)
Gurobi Optimization, LLC, Gurobi optimizer reference manual, Ac- cessed Oct. 30, 2024 (2023). URL https://www.gurobi.com
2023
-
[90]
S. M. Millett, Should probabilities be used with scenar ios, J. Future Stud. 13 (2009) 61–68
2009
-
[91]
Meinshausen, Z
M. Meinshausen, Z. R. J. Nicholls, J. Lewis, M. J. Gidden , E. Vogel, M. B. Freund, U. B. et al., The shared socio-economic pathway (ssp) greenhouse gas concentrations and their extensions to 2500 , Geosci. Model Dev. (2020). 58
2020
-
[92]
Homem-de Mello, V
T. Homem-de Mello, V. de Matos, E. Finardi, Sampling str ategies and stopping criteria for stochastic dual dynamic programming : A case study in long-term hydrothermal scheduling, Energy Syst. 2 (2011) 1–
2011
-
[93]
Dowson, L
O. Dowson, L. Kapelevich, SDDP.jl: a Julia package for s tochastic dual dynamic programming, INFORMS J Comput. 33 (2021) 27–33 . doi:https://doi.org/10.1287/ijoc.2020.0987
2021
-
[94]
Shapiro, Analysis of stochastic dual dynamic progra mming method, Tech
A. Shapiro, Analysis of stochastic dual dynamic progra mming method, Tech. Rep. 2509, Optimization Online (2009). URL https://optimization-online.org/wp-content/uploads/ 2009/12/2509.pdf
2009
-
[95]
com/operations/power/canyon-creek-pumped-storage/, Accessed Oct
TC Energy, Canyon creek pumped storage, https://www.tcenergy. com/operations/power/canyon-creek-pumped-storage/, Accessed Oct. 30, 2024 (2024)
2024
-
[96]
doi:10.1007/s12667-011-0024-y
-
[97]
23, 2024 (2024)
Arcus Power, Nrg stream, Accessed: Oct. 23, 2024 (2024) . URL https://www.arcuspower.com/nrg-stream
2024
-
[98]
rep., Alberta Electric System Operator, Accessed, Oct
AESO, Transmission utilization assessment 2023, Tech . rep., Alberta Electric System Operator, Accessed, Oct. 30, 2024 (2023). URL https://www.aeso.ca/assets/Uploads/ grid/transmission-utilization-map/ Tx-Utilization-Assessment-2023.pdf
2023
-
[99]
GmbH, Digsilent powerfactory, https://www.digsilent.de, ac- cessed: 2025-04-16 (2024)
D. GmbH, Digsilent powerfactory, https://www.digsilent.de, ac- cessed: 2025-04-16 (2024)
2024
-
[100]
Fragkos, J.-F
I. Fragkos, J.-F. Cordeau, R. Jans, Decomposition meth ods for large- scale network expansion problems, Transp. Res. Part B Metho dol. 144 (2021) 60–80. doi:10.1016/j.trb.2020.12.002
2021 doi
-
[101]
energyexemplar.com/plexos, accessed: 2025-04-16 (2024)
Energy Exemplar, Plexos integrated energy model, https://www. energyexemplar.com/plexos, accessed: 2025-04-16 (2024)
2024
-
[102]
Brown, J
T. Brown, J. Hörsch, F. Neumann, Pypsa - python for power system analysis, https://pypsa.org, open-source tool maintained by KIT. GitHub: https://github.com/PyPSA (2024). 59
2024
-
[103]
ENTSO-E, Ten-year network development plan (tyndp), https:// tyndp.entsoe.eu, used for scenario-based planning by European TSOs (2022)
2022
-
[104]
Corporation, Powerworld simulator, https://www.powerworld
P. Corporation, Powerworld simulator, https://www.powerworld. com, accessed: 2025-04-16 (2024)
2024
-
[105]
National Renewable Energy Laboratory (NREL), Region al energy de- ployment system (reeds) model, https://www.nrel.gov/analysis/ reeds/, dOE-supported long-term capacity expansion model (2023)
2023
-
[106]
Kammen, S
D. Kammen, S. D. Team, Switch power system planning mod el, https://switch-model.org, open-source planning tool developed at UC Berkeley (2024)
2024
-
[107]
Department of Energy, Quadrennial technology re view (qtr), https://www.energy.gov/quadrennial-technology-review-0, ac- cessed: 2025-04-09 (2015)
U.S. Department of Energy, Quadrennial technology re view (qtr), https://www.energy.gov/quadrennial-technology-review-0, ac- cessed: 2025-04-09 (2015)
2015
-
[108]
Vernova, Planos - power system planning tools by ge v ernova, https://www.gevernova.com/digital, accessed: 2025-04-16
G. Vernova, Planos - power system planning tools by ge v ernova, https://www.gevernova.com/digital, accessed: 2025-04-16. Lim- ited public documentation (2023)
2023
-
[109]
S. N. Laboratories, Quest - quantifying energy storag e tool, https://energy.sandia.gov/energy/ssrei/renewable-energy/ grid-integration/quest/, suite of tools for grid planning and energy storage modeling (2022)
2022
-
[110]
R. D. Zimmerman, C. E. Murillo-Sánchez, R. J. Thomas, M atpower: Steady-state power system analysis toolbox, https://matpower.org, mATLAB-based OPF and power flow tool. GitHub: https://github. com/MATPOWER/matpower (2024)
2024
-
[111]
nationalgrideso.com/future-energy/future-energy-scenarios, accessed: 2025-04-09 (2023)
National Grid ESO, Future energy scenarios, https://www. nationalgrideso.com/future-energy/future-energy-scenarios, accessed: 2025-04-09 (2023)
2023
-
[112]
ENTSO-E, Ten-year network development plan (tyndp), https:// tyndp.entsoe.eu/, accessed: 2025-04-09 (2022)
2022
-
[113]
Alberta Electric System Operator, Long-term transmi s- sion plan, https://www.aeso.ca/grid/grid-planning/ long-term-transmission-plan/, accessed: 2025-04-09 (2023). 60
2023
-
[114]
Electric Reliability Council of Texas, Long-term sys tem assessment, https://www.ercot.com/gridinfo/planning/ltsa, accessed: 2025- 04-09 (2023)
2023
-
[116]
Appendix A
International Energy Agency, Developing capacity fo r long-term energy policy planning: A roadmap, https://www.iea.org/reports/ developing-capacity-for-long-term-energy-policy-pla nning-a-roadmap, accessed: 2025-04-09 (2020). Appendix A. Additional Tables Table A.9: Pan-region...
2020
-
[6479]
doi:10.1016/j.egyr.2022.04.066. 52
2022 doi
Reviewed August 16, 2026 · model on record in the stance chip above.
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