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We develop a framework to quantify systemic risk measures in a class ofWide-Area-Control (WAC) laws in power networks in the presence of noisy andtime-delayed sensory data. A closed-form calculation of the risk of phaseincoherence in interconnected power networks is presented, and the effect ofnetwork parameters, information flow in WAC architecture, statistics of noise,and time-delays are characterized. We show that in the presence of time-delayand noise, a fundamental trade-off between the best achievable performance (viatuning feedback gains) and value-at-risk emerges. The significance of ourresults is that they provide a guideline for developing algorithmic designtools to enhance the coherency and robustness of closed-loop power networkssimultaneously. Finally, we validate our theoretical findings through extensivesimulation examples.

Risk of Phase Incoherence in Wide Area Control of Synchronous Power Networks