## 1 Introduction
Then, the RE creates a random number and conceals it within the breaker ID and then it encrypts the final result. Secondly, the RE generates an additional hash value that contains the received random parameter and another random parameter and then forwards the authentication message to the SE; this message includes the hash value and the encrypted result. As soon as the authentication message is received, the SE decrypts the information and gets a random value. The SE utilizes a hash value to check if the obtained random value was right. Numerous investigations have been undertaken in the field of SG security, particularly on mutual authentication. In this section, the key security problem of authentication is presented. The authors in Reference [18] suggested a scheme that offers mutual authentication between smart meters at various locations. The calculated time and communication size of the proposed scheme is high owing to the use of Rivest, Shamir, and Adleman (RSA). In Reference [19], the authors proposed an effective privacy-preserving scheme; holomorphic encryption was employed by the suggested scheme to realize Privacy-Preserving Demand Aggregation (PPDR) and a better response. The authors in Reference [20] presented several types of schemes and protocols; they proposed a mutual authentication scheme for a Smart Meter (SM) to solve the challenges in SGs. In Reference [21], a scheme to address mutual authentication and to prevent several types of attacks between SG utility networks and SMs was presented. Also, the authors proposed a new protocol for key management to secure data among the utility server and the SMs. The Wide Area Measurement Systems (WAMS) offer a time-synchronized assessment of the situations for electrical power networks over a large geographical area. The WAMS Key management (WAKE) scheme was proposed for securing communications in WAMS [22]. The proposed authentication scheme employed a symmetric key to secure real-time data in the transmission lines. To the best of our knowledge, it is the first study to propose an authentication scheme between CC and SBs in SG. Therefore, the related works are very limited and almost nonexistent. There is an excessive variability of methods for performing authentication. Unfortunately, much of the available literature investigated SG security, while all the above-mentioned works [18; 19; 20; 21; 22; 23; 24; 25; 26] lack high computation and long communication sizes and use a complex scheme such as the Public-Key Infrastructure (PKI). Signature generation as well as signature verification are needed for the PKI. Therefore, these actions cause high computation and communication overhead. An excessive amount of authentication steps is sometimes needed to secure communications, which causes additional computation and communication costs. In this paper, all the previous challenges were addressed by proposing a lightweight authentication scheme for securing the communication between the CC and SBs in an SG. Generally, this paper contributes to providing SE authentication with RE and to the creation of a secure channel between the CC and the SBs. The proposed scheme will use the symmetric system to ensure the integrity of various interactions with the cryptographic hash function. The benefits of the suggested lightweight scheme offer the authentication with low communication and computation costs; thus, the power consumption will be low. Where, the most articles in wireless security such as [27] focus on the energy cost. The scheme offers the identity of SE detection and ends with the Session Key Agreement (SKA) among SE and RE. The suggested scheme also offers SG Mutual Authentication (SGMA) and with a suitable level of security against multiple attacks. The experiments and measurements adopted in: first, theoretical method then, the simulations platform was done using MATLAB R2014a software. Finally, we recommended to apply the proposed scheme (by the help of ABB switchgear companies) on ABB eVD4 SB and REF542_plus_ controller.