## Analytical Foundations for the Next Generation Electric Grid webinars

The Board of Mathematical Sciences and Their Application is planning to conduct two webinars in conjunction with the release of their report, Analytical Foundations for the Next Generation Electric Grid, which highlights the key research areas in the mathematical sciences that should be given priority to make the next-generation electric grid a reality.

### Enhancing Electric Power Reliability, Security, and Resiliency

**Jeffery Dagle, Pacific Northwest National Laboratory
April 18 11:00 AM EDT**

Today’s complex grid involves many interdependent aspects. Various layers of hierarchical control are coordinated, both spatially and temporally to achieve reliability. And as smart grid technologies are being deployed, the interconnected nature of these systems is becoming more complex. Smart grids will allow for effective integration of dispersed resources, and enable the customer to become an active participant in electricity supply and consumption. System operations will be enhanced as a growing number of distributed devices can be adjusted in response to changing system conditions. Infrastructure resilience is the ability to reduce the magnitude and/or duration of disruptive events. The effectiveness of a resilient infrastructure depends upon its ability to anticipate, absorb, adapt to, and/or rapidly recover from a potentially disruptive event. Whether disruptions come from intentional attacks by human interventions or from acts of nature, smart grid capabilities can enhance the resilience of the electricity system. This presentation will provide an overview of smart grid technology developments, and efforts being taken to ensure that they themselves to not introduce any new unanticipated vulnerabilities.

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Webinar password: grid

### Mathematical Programming for the Solution of ACOPF

**Daniel Bienstock, Columbia University
April 25, 2:00 PM EDT **

OPF (Optimal power flow) is a well-known problem among power engineers. In the AC setting this is a problem that is thought to be solved -- at least in the case of routine applications, and many software packages are available. When dealing with non-standard cases, or what-if analysis, AC-OPF can become quite difficult, and the mathematical techniques found in commercial software may fall short. Recently, new work has highlighted powerful mathematical techniques based on semidefinite programming, which may yield effective algorithms across many scenarios. In the first half of the talk we will review these techniques.

The second half of the talk will focus on analysis of stochastics, and in particular the use of so-called chance constraints to model uncertain data. We will focus on applications to OPF under renewable generation.

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Webinar password: grid