This paper reviews recent advances and current debates in modeling the solar cycle as a hydromagnetic dynamo process. Emphasis is placed on (relatively) simple dynamo models that are nonetheless detailed enough to be comparable to solar cycle observations. After a brief overview of the dynamo problem and of key observational constraints, we begin by reviewing the various magnetic field regeneration mechanisms that have been proposed in the solar context. We move on to a presentation and critical discussion of extant solar cycle models based on these mechanisms. We then turn to the origin and consequences of fluctuations in these models, including amplitude and parity modulation, chaotic behavior, intermittency, and predictability. The paper concludes with a discussion of our current state of ignorance regarding various key questions relating to the explanatory framework offered by dynamo models of the solar cycle.

中文翻译：

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太阳周期的发电机模型

本文回顾了将太阳周期建模为水磁发电机过程的最新进展和当前的争论。重点放在（相对）简单的发电机模型上，该模型仍然足够详细，可以与太阳周期观测相媲美。在对发电机问题和主要的观测约束条件进行了简要概述之后，我们首先回顾了在太阳环境下提出的各种磁场再生机制。我们将继续基于这些机制对现存的太阳周期模型进行介绍和批判性讨论。然后，我们转向这些模型中波动的起因和后果，包括幅度和奇偶调制，混沌行为，间歇性和可预测性。