Hybrid Loop Heat Pipe Systems (HLHPS) are next-generation Loop Heat Pipe-type systems with multiple evaporators and only one reservoir colocated with a small secondary evaporator. HLHPS are capable of temperature-controlling heat sources distributed across the application system volume. In addition to multiple evaporators, HLHPS provide such benefits as compact packaging and high power and high heat flux levels compared to other capillary thermal control systems. This paper presents a transient model of a HLHPS with eight (8) main evaporators developed on the Thermal Desktop TM platform. The modeling results explain how these eight evaporators, cooling heat-dissipating components, can be kept inside a certain temperature range and provide general understanding of HLHPS transient operational regimes.