Plasma is considered as a potential method to promote the establishment of supersonic flame and has been investigated wildly. This paper provides the establishment process of flame with a plasma igniter (PI) in axisymmetric kerosene combustor under the conditions of $Ma=3$ and $T_t=1680$ K, and finds that proposes several typical modes of flameholding during the establishment process, as well as investigates the main factors on the flameholding modes. The results showed that during the establishment process of flame, a phenomenon that a weak flame will spontaneously transform to a stronger flame in a pure supersonic flow will occur. To understand the reason inducing spontaneous transformation, four types of flameholding are classified. The four types of flameholding modes are partial oxidation, weak flame, strong flame and cone-strut flame. Each type of flameholding modes has unique color, brightness, shape and size. The excitation current of plasma igniter, the feedstock flow rate of the plasma igniter, and the fuel equivalent ratio will determine which flame is formed. A simple analysis model including the heat release rate, which is proposed to explain the experimental results, indicates that the heat release rate and flame temperature of flame front are the key factors affecting flameholding modes, and the thermal congestion induced by the heat release maybe the reason causing spontaneous transformation.

等离子体被认为是一种促进超音速火焰建立的潜在方法，并已被广泛研究。本文提供了等离子点火器（PI）在轴对称煤油燃烧器中建立火焰的过程。$米\mathrm{一种}=3$ 和 ${吨}_{吨}=1680$K，并发现在建立过程中提出了几种典型的火焰稳定模式，并调查了火焰稳定模式的主要因素。结果表明，在火焰建立过程中，会出现纯超音速流动中弱火焰自发转变为强火焰的现象。为了理解引发自发转变的原因，将火焰保持分为四种类型。火焰稳定模式有部分氧化、弱火焰、强火焰和锥柱火焰四种。每种类型的火焰保持模式都有独特的颜色、亮度、形状和大小。等离子点火器的激发电流、等离子点火器的原料流量、燃料当量比将决定形成哪种火焰。一个简单的分析模型，包括放热率，