\section{Related Work}
\label{sec:related_work}

This work can be compared to existing modeling-based approaches that estimate the timing or efficiency of intermittent systems~\cite{kimRapid2024,houTale2024,erataETAP2023,ghasemiPES2023,sanmiguelEH2018a,sanmiguelEH2018}.
The primary focus of these works is identifying the most efficient design configurations (e.g., capacitor size, input power or checkpoint techniques~\cite{kimRapid2024}) for a given application.
Zhan et al.~\cite{zhanExploring2022} especially examined the trade-offs between capacitor sizes and forward progress.
However, these works assume that the entire energy discharged from the capacitor is utilized by computing system, overlooking the buffering effects addressed in this work.
Furthermore, our work proposes several practical guidelines to improve the efficiency of existing techniques with minimal efforts.

In some works that do not have a dedicated power management system and directly supply unregulated power to the computing system~\cite{balsamoHibernus2015,balsamoHibernus2016,netoDiCA2023,raffeckCO2CoDe2024,reymondEarlyBird2024}, $V_{dd}$ has been used as a checkpoint signal.
This is natural in these works since the voltage of the energy storage is always identical to $V_{dd}$.
% This is natural in these works since the voltage of the energy storage is always same as Vdd and the MCU operates in varying voltage levels.
In contrast, our work demonstrates that accounting for sub-normal voltage operations is also critical in systems with regulated power supplies, which represent the majority of intermittent system setups.
% Especially, this work reveals that these impacts come from the buffering effects of the inherent capacitance, which are not exist in these works.
Also, we address the impacts of sub-normal voltage executions on the correctness and efficiency of software designs, along with suggestions to exploit such impacts for improved system performance.