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An event-triggered load frequency control problem for networked multiarea power systems is discussed, where the event-triggered control scheme has an adaptive threshold. This article is motivated by the consideration for a bandwidth-limited communication channel. To reduce the communication network bandwidth burden, this article develops an adaptive event-triggered control scheme to reduce the number of transmitted packets while keeping the desired control performance. From numerical simulations, we find that if the adaptive law is chosen inappropriately, then it is possible that the event-triggered scheme with an adaptive threshold is more conservative than one with a fixed threshold. Motivated by this, an improved adaptive law of the threshold for the event-triggered scheme is given such that the adaptive event-triggered scheme outperforms one with a constant threshold. By using the Lyapunov method and linear matrix inequality techniques, stability and stabilization criteria are obtained. Finally, numerical examples are given to illustrate the effectiveness of our results.