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Flexible loads are a resource for the Balancing Authority (BA) of the future to aid in the balance of supply and demand in the power grid. Consequently, it is of interest for a BA to know how much flexibility a collection of loads has, so to successfully incorporate flexible loads into grid level resource allocation. Loads’ flexibility is limited by all their Quality of Service (QoS) requirements. In this work we present a characterization of capacity for a collection of flexible loads that is useful for long-term planning. This characterization is in terms of the power spectral density (PSD) of the demand deviation. Two advantages of our characterization are: (i) it easily allows a BA to perform resource allocation of flexible loads, especially for long-term planning, and (ii) it allows for precise definitions of the power and energy capacity for a collection of flexible loads. [ABSTRACT FROM AUTHOR]