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, I begin by reviewing the various magnetic field regeneration mechanisms that have been proposed in the solar context. I move on to a presentation and critical discussion of extant solar cycle models based on these mechanisms, followed by a discussion of recent magnetohydrodynamical simulations of solar convection generating solar-like large-scale magnetic cycles. I then turn to the origin and consequences of fluctuations in these models and simulations, including amplitude and parity modulation, chaotic behavior, and intermittency. 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。在简要介绍了发电机问题和主要的观测约束之后，我首先回顾了在太阳环境下提出的各种磁场再生机制。我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，然后讨论最近的太阳对流产生类似太阳的大规模磁周期的磁流体动力学模拟。然后，我将介绍这些模型和仿真中波动的起因和后果，包括幅度和奇偶调制，混沌行为，和间歇性 本文最后讨论了我们目前对有关太阳周期发电机模型所提供的解释框架的各种关键问题的无知状态。