Abstract

The need to design resilient energy systems becomes ever more apparent as we face the challenge of decarbonising through reliance on non-dispatchable technologies and sectoral integration. Increasingly, modelling efforts focus on improving system resilience, but fail to quantify the improvements. In this paper, we propose a novel workflow that allows increases in resilience to be measured quantitatively. It incorporates out-of-sample testing following optimisation, and compares the impacts of demand and power interruption uncertainty on both risk-unaware and risk-aware district energy system models. To ensure we encompass the full range of impacts caused by uncertainty, we consider nine distinct objectives encompassing differences in: investment and operation costs, CO2 emissions, and aversion to risk.We apply the workflow in a case study in Bangalore, India, and demonstrate that scenario optimisation improves system resilience by one to two orders of magnitude. However, systems designed for resilience to demand uncertainty are not able to gracefully extend to managing risk from extreme shocks to the system, such as power interruptions. We show that shock-induced instability can be addressed by specific measures to reduce grid dependence. Finally, by studying out-of-sample test results, we identify an objective which balances cost, CO2 emissions, and system resilience; this balance is achieved by novel application of the Conditional Value at Risk measure. These results expose the need for out-of-sample testing whenever uncertainty is considered in energy system modelling, and we provide the framework with which it can be undertaken.

Highlights

  • The design of resilient energy systems is becoming a topic of ever increasing importance [1,2]

  • In this paper we have examined the introduction of out-of-sample testing as a method to measure energy system resilience in mixed integer linear programming

  • The system has been optimised according to nine objectives, each of which is compared on expected cost, CO2 emissions, and resilience to uncertain demand and grid power interruptions

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Summary

Introduction

The design of resilient energy systems is becoming a topic of ever increasing importance [1,2]. To quantify the resilience of a solution, Conejo et al [28] recommends out-of-sample testing as an additional step following risk-aware optimisation This step requires a modeller to ask the question: ‘what happens if we design a system under conditions A, but it undergoes conditions B in operation?’, where conditions A and B are different realisations of uncertainty. Using risk-unaware optimisation, Gabrielli et al [29] undertook such an analysis for a small district energy system They analysed 100 system configurations to 1440 realisations of uncertainty, quantifying ‘robustness’ as a function of demand that could not be met by a configuration; they found that some system configurations were notably more robust than others.

Model and data
Objective function formulations
Out-of-sample tests
Optimisation results
Risk-unaware objectives
Risk-aware objectives
Out-of-sample test results
Out-of-sample tests with demand variations
Introduction of power interruptions
Findings
Discussion and conclusions

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