A high-performance transportable ultra-stable cavity is the key to achieve the high-stability transportable optical clock. Vibration noise and temperature fluctuation noise are the main factors that affect the stability of the ultra-stable cavity. In this paper, we used the Pound-Drever-Hall (PDH) technique to achieve the locking of the 171Yb optical clock laser to a 30 cm transportable ultra-stable cavity, and studied the evaluation method of the vibration noise, temperature fluctuation noise and stability of the ultra-stable cavity. By applying active vibration excitation to the cavity, we obtained the vibration sensitivities of the cavity in three orthogonal directions as 5.6×10-10/g, rm4.8×10-10/g and 1.5×10-10/g, respectively. By measuring the change of the cavity resonance frequency with the cavity temperature, we fit its zero-crossing temperature to be 34.0(0.4)°C. Finally, by comparing with two independent 30 cm ultra-stable cavities with three-cornered hat method, we evaluated the independent stability of this ultra-stable cavity, and obtained a stability of 4.1×10-16 at an averaging time of 2 s by using correlation removed algorithm.Noise spectrum analysis shows that stability of cavity is mainly limited by vibration noise. These studies provide us with directions for further optimizing the stability of the transportable ultra-stable clock laser.