In another example, the Transient Stability Modeling Engine 3002 can be configured to generate a text-based or a graphics-based user interface that conveys real-time operational performance of the electrical system 102 that can include real-time system security index values regarding the electrical system's 102 energy efficiency (i.e., the cost of energy utilized by the electrical system 102, the cost of intrinsic power losses within the electrical system 102, the cost of power losses due to the electrical system 102 running at poor power factors), security and stability (i.e., the predicted ability of the electrical system 102 to withstand a contingency event that results in stress to the electrical system 102), and availability (e.g., the predicted ability of the electrical system 102 to maintain availability of total power capacity). Moreover, the user interface can also include a visual representation of each piece of electrical equipment (associated/tagged with a unique identifier) that comprises the electrical system 102. In one embodiment, the user interface is based on a one-line diagram construct. In another embodiment, the user interface is based on a technical system schematic diagram construct. However, it should be appreciated that the user interface can be based on any engineering diagram construct as long as the resulting interface can be displayed on a client terminal 128 to allow viewing by an operator/administrator.