To tackle the global challenges of climate change and energy security, building low carbon energy systems has become a research hotspot. Cyber-physical power systems (CPPSs) is an important infrastructure to link both energy and transport systems, two major sectors that are difficult to decarbonize, and it is necessary to establish CPPSs model to consider the integration of both renewable energy and electric vehicle (EV).It is often extremely challenging to describe the topological structure of CPPSs due to their topological complexities and scales. The aim of this letter is to establish an optimization model with multiobjective and multi-constraint by considering renewable energy and EV. Firstly, the topological structure and the coupling characteristics of power grid and communication network for CPPSs are analyzed. Secondly, to formulate the optimization indexes of power grid and communication network, multiple control objectives are established. The coupling relationship between CPPSs layers is also described and analyzed. Thirdly, the interior point method and fminbnd function are used to solve multi-objective functions. Finally, experimental results confirm that this model can achieve precise control from both power grid and communication network. Related work: CPPSs aim to intelligently integrate the behaviors and actions of all stakeholders in energy supply chain to efficiently deliver sustainable, economic, and secure electric energy. To make energy supply more flexible, portable and safer, CPPSs control must enhance the cooperation and interaction between power grid and communication network [1][2]. EV charging model in CPPSs is established [3], but the impact of power generation fluctuations from renewable sources on power system operation is not considered. Multi-objective optimization models are established [4]. These models are employed to realize power flow control and improve power quality. However, most of these models only consider single objective, while real power grid model needs to meet multiple different control objectives. A CPPS conceptual is established based on the concepts of complex network theory [5], which however does not provide mathematical models for CPPSs that can be used for the optimization purpose. State space models of CPSs are developed [6-7], which provided mathematical representations of dynamic behavior and structural characteristics of CPSs, but these models lack physical meanings, hence it is difficult to yield meaningful results. Table Ⅰ. Comparison of the Proposed and Related Energy Models Renewable energy power grid communication network