STORAGE EVALUATION IN CONGESTED GRIDS

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CHAIR FOR MANAGEMENT SCIENCE AND

ENERGY ECONOMICS

PROF. DR. CHRISTOPH WEBER

STORAGE EVALUATION IN

CONGESTED GRIDSBenjamin Böcker, Stefan Kippelt

Christian Rehtanz, Christoph Weber

Essen, 25.03.2015

Introduction

• Grid expansion primarily driven by

– Developing renewable energy sources (mainly photovoltaics and wind)

– Increasing decentralization of feed-in

• Storage operation primarily driven by

– Taking advantage of price differences between charging and discharging the storage

(Spot market, intraday market, increasing own consumption of pv feed-in)

– Provide reserve power and grid services to compensate forecasting errors of demand

and supply and intermittent infeed

Key questions:

– Is storage operation for grid purposes efficient?

– How should these storage operations been compensated?

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MOTIVATION 1 2 3 4

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• Regulatory framework

– Laws and regulations

– Planning rules and principles

• Markets

– Structure of prices

– Minimum requirements

(prequalification)

• Location and operation

– Distributed energy sources, loads

• Grids

– Current and future load necessary grid expansion

Key Drivers

Regulatory Framework

Markets

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MOTIVATION 1 2 3 4

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1. Motivation

2. Methods

3. Application

4. Conclusion

Agenda

STORAGE EVALUATION IN CONGESTED GRIDS 1 2 3 4

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• Competitive market

similar results as system optimization with perfect information

• System optimization

– Description of an overall perfect decision

– No direct evaluation of the additional value of storages by operation for grid purposes

– Ex-post analysis of possible sharing of cost savings

Set up of an optimization model

Economic Theory

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METHODS 1 2 3 4

DemandSupply

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Optimization Model – System Boundaries

Physical energy flows

Financial flows Grid

Storage

Markets

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METHODS 1 2 3 4

System Boundary

Analysis: Ex post

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• Minimizing cost for grid and storage operator

– Investment costs for the grid and storage

▪ Grid expansion (binary decision)

▪ Storage investment (Capacity and Volume)

– Compensation (Curtailment and non-served demand)

– Additional revenues on spot

Optimization Model – Objective Function / Overview

𝑚𝑖𝑛 𝐶𝑖𝑛𝑣𝑒𝑠𝑡𝑚𝑒𝑛𝑡 + 𝐶𝑐𝑜𝑚𝑝𝑒𝑛𝑠𝑎𝑡𝑖𝑜𝑛 − 𝑅𝑚𝑎𝑟𝑘𝑒𝑡

INREC // Essen

METHODS 1 2 3 4

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• Storage operation under grid constraints

• Storage

– Level:

– Capacity:

Optimization Model – Main Restrictions

𝑐ℎ𝑎𝑟𝑔𝑖𝑛𝑔: 𝑦𝑆,𝐶 𝑡 ≤ 𝑅𝐶 𝑡 + 𝑏𝑔𝑟𝑖𝑑 ∙ 𝑅𝑎𝑑

𝑅𝐿,𝑆 𝑡 . . 𝐿𝑆 𝑡 + 1, 𝑢𝑆 = 𝐿𝑆 𝑡, 𝑢𝑆 + 𝑦𝑆,𝐶 𝑡, 𝑢𝑆 ∙ 𝜂𝑆 𝑢𝑆 − 𝑦𝑆,𝐷 𝑡, 𝑢𝑆

𝑅𝐾,𝐷 𝑡, 𝑢𝑆 . . 𝑦𝑆,𝐷 𝑡, 𝑢𝑆 ≤ 𝐾𝑆 𝑢𝑆

𝑅𝐾,𝐶 𝑡, 𝑢𝑆 . . 𝑦𝑆,𝐶 𝑡, 𝑢𝑆 ≤ 𝐾𝑆 𝑢𝑆

𝑅𝑉,𝑆 𝑡 . . 𝐿𝑆 𝑡, 𝑢𝑆 ≤ 𝑉𝑆 𝑢𝑆

INREC // Essen

METHODS 1 2 3 4

𝑑𝑖𝑠𝑐ℎ𝑎𝑟𝑔𝑖𝑛𝑔: 𝑦𝑆,𝐷 𝑡 ≤ 𝑅𝐷 𝑡 + 𝑏𝑔𝑟𝑖𝑑−𝑒𝑥𝑝. ∙ 𝑅𝑎𝑑𝑑−𝑐𝑎𝑝𝑎𝑐𝑖𝑡𝑦 + 𝑦𝑐𝑢𝑟,𝑆 𝑡

Optimization Model

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Optimization Model – Overview

Grid Expansion Costs

Willingness to pay to the storage operator

Storage Costs

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METHODS 1 2 3 4

Scenario Data

Grid Data (local Feed-In)

Market Prices

Optimal storage investment and operationTrade-Off: Grid investment, storage investment and curtailment

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1. Motivation

2. Methods

3. Application

4. Conclusion

Agenda

STORAGE EVALUATION IN CONGESTED GRIDS 1 2 3 4

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• Based on NEP 2013, Second Draft (Reference year 2011)

scaled up according to 2023B

• Demand profiles: ENTSO-E, Renewable feed-in: EEX and local

weather data (adjusted for changed full load hours)

• Possibility of curtailment (especially PV)

• Compensation payments for curtailment

– Current average infeed tariff (33 €ct/kWh)

• Unbundling and contract law

• Financial framework (interest rate)

Scenario Data – Base Case

Optimization Model

Grid Expansion Costs

Willingness to pay to the storage operator

Storage Costs

Grid Data (local Feed-In)

Market Prices

Optimal storage investment and operationTrade-Off: Grid investment, storage investment and curtailment

Scenario Data

APPLICATION 1 2 3 4

Grid Data –Power Flow Calculation

• Limiting Curve Analysis

– Due to the unmeshed character of the chosen

grid configurations, a simplified power flow

calculation approach can be applied

– For a given line length, this approach calculates

limits for load and feedback under consideration of

thermal limits and the acceptable voltage range

– A demand for storage operation arises, when the

residual load exceeds the lines load and feedback

limits

• Conventional grid expansion

– Grid expansions are assumed as additional parallel

cables which split the installed RES in equal shares

– The cost for conventional line expansions are estimated

based on installed line length and feeder costs

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maximum load

maximum feedback

load

feedback

Line Length

Thermal Limitation Voltage Limitation (+/-4%)

Ac

tive

Po

we

r

APPLICATION 1 2 3 4

Grid Data –

Grid configuration and generation of local time series

• Low Voltage Stub Line

– Simulation of a classic stub line configuration

(the most frequent low voltage grid structure)

– Assumed cable cross-section is 150mm²

(the most frequent value in German low voltage grids)

– Assumed line length is 0.3 km

(the median value observed in the dena distr. grid study)

– Simulation of loads by use of a stochastic load

model based on smart metering data

• Simulation of local RES time series

– Simulation of RES time series by use of historic

weather model data in 7kmx7km resolution

– RES times series are scaled to 130% of line capacity

in order to provoke need for action of DSO

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~ ~ ~ ~

NAYY 4x150

0

0,1

0,2

0,3

0,4

0,5

0,6

0,7

0,8

1 11 21 31 41 51 61 71 81 91

Win

d [

%]

APPLICATION 1 2 3 4

Scenario Data

Optimization Model

Grid Expansion Costs

Willingness to pay to the storage operator

Storage Costs Market Prices

Optimal storage investment and operationTrade-Off: Grid investment, storage investment and curtailment

Grid Data (local Feed-In)

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• Storage Investment:

– (100€/kW, 200€/kWh, 20 years, 5.7%, 2% fixed o&m) 95% Efficiency

• Grid investment:

– 80 T€/km (dena distr. grid study) (40 years, 6.4%)

• Market

– Spot Price Simulation: Hybrid-Model (EWL)

▪ Two Step Simulation

– Fundamental price and additional stochastics

▪ According scenario data

– Mean Price: 42.6€/MWh (51.1 €/MWh in 2011)

– Number of neg. prices 233h (16h in 2011)

Costs and Market – Base Case

Grid Data (local Feed-In)

Scenario Data

Optimization Model

Willingness to pay to the storage operator

Optimal storage investment and operationTrade-Off: Grid investment, storage investment and curtailment

Grid Expansion CostsStorage Costs Market Prices

APPLICATION 1 2 3 4

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• One year, hourly (8760 timesteps)

• MIP solving in GAMS

• Connected with Matlab for sensitivities

Optimization Model

Grid Expansion CostsStorage Costs Market Prices

Grid Data (local Feed-In)

Scenario Data

Willingness to pay to the storage operator

Optimal storage investment and operationTrade-Off: Grid investment, storage investment and curtailment

Optimization Model

APPLICATION 1 2 3 4

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Key Input Parameters: 0.3 km, 30% Excess Feed-In PV, Compensation ø infeed tariff)

Result – Base Case

economically optimal avoid grid expansion and curtailment

Volume 38 kWh 88 MWh

Capacity 38 kW 55 MW

Load duration 1.0 h 1.6 h

full load cycles 1,297 ---

APPLICATION 1 2 3 4

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• Length of lines (low voltage grid)

– 0.1 km up to 1.6 km, Median: 0.3 km // 95% Quantile: 1,1 km // 99% Quantile: 1,6 km

• Excess Feed-In PV (in comparison to avoid curtailment)

– 10% to 150%

• Market (Sensitivity I):

– only grid purposes

– grid purposes and spot market

• Compensation Payments (Sensitivity II):

– Current average 33€ ct/kWh feed-in tariff – Current 13 €ct/kWh feed-in tariff

– Spot price – No curtailment

– No compensation

Sensitivities – Data

APPLICATION 1 2 3 4

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Optimal Decision – Market Sensitivity

Grid Grid + Storage Storage Storage (with curt.) No Inv. (curt. optional)

Only grid purposes spot market / grid purposes

APPLICATION 1 2 3 4

Optimal Investments:

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Optimal Decision – Compensation Sensitivity

Current average Current

Spot-Price No curtailment No compensation

APPLICATION 1 2 3 4

Grid

Grid + Storage

Storage

Storage (with curt.)

No Inv. (curt. optional)

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1. Motivation

2. Methods

3. Application

4. Conclusion

Agenda

STORAGE EVALUATION IN CONGESTED GRIDS 1 2 3 4

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• Optimal investment decision

– Highly dependent on:

▪ grid length and excess feed-in of PV

▪ Regulatory framework (unbundling, compensation payments)

• Value of storages:

– Storage investment only for grid purposes

Only in limited cases (Long length >700m, excess feed-In PV 1.5 to 2.3)

– Storage investment for grid purposes and restrictive operation on spot-market

Average grid-length: only with moderate excess feed-In

Grid-length above average: efficient in many cases

Summary (I/II)

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CONCLUSION 1 2 3 4

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• Advantage of storages:

– Mobility

– Application for short grid overload

– Possible to avoid or shift grid investment

– Possibility to optimize curtailment payments (grid perspective)

• Implementation of Reserve Market see upcoming paper

• More sensitivities:

– Voltage control

– storage investment costs

Summary (II/II)

INREC // Essen

CONCLUSION 1 2 3 4

CHAIR FOR MANAGEMENT SCIENCE AND

ENERGY ECONOMICS

PROF. DR. CHRISTOPH WEBER

Many thanks! –Questions?

Contact: Benjamin Böcker

E-Mail: benjamin.boecker@uni-due.de

Phone: +49 201/183-7306

CHAIR FOR MANAGEMENT SCIENCE AND

ENERGY ECONOMICS

PROF. DR. CHRISTOPH WEBER

Backup Slides

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Optimal Decision – Market Sensitivity

(with voltages control)

Grid Voltage Control Storage Storage (with curt.) No Inv. (cur. optional)

Only grid pursoses spot market / grid purposes

APPLICATION 1 2 3 4

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Optimal Decision – Li-Ion Costs

Grid Grid + Storage Storage Storage (with curt.) No Inv. (curt. optional)

Low: 100 [€/kW], 200 [€/kWh]

APPLICATION 1 2 3 4

High: 120 [€/kW], 500 [€/kWh]