With the improvement of digitalization and intelligence in the power
system, the safe operation of the power system is facing enormous
challenges. The safe use of electricity on the load side is the key to
achieving safe and reliable power system operation. The detection party
needs amounts of human and material resources when the power network is
attacked. In response to the current difficulties of low detection
ability and high detection costs, this paper proposes an attack and
defence game model that considers the differences between different
nodes, ensuring the safety and economy of electricity consumption while
reducing energy waste. At first, the structure of smart meters and the
attack characteristics of intruders are summarized, and a basic attack
and defence game model is constructed. The Nash equilibrium is then
solved, and the optimal strategy for the game between the defender and
the intruder is given to balance the relation between detection
performance and energy consumption. In response to the differences
generated by each node, strategies for attackers to launch attacks on
different nodes and the setting of optimal thresholds for other nodes in
the defence system are explored. Finally, case studies verify that the
proposed model could reduce the cost of intruder detection while
ensuring a specific detection rate.