"I want to estimate the frequencies of a sum of sinusoids"
I'm unclear what you mean by this.
Do you mean that you have a signal that is a sum of sinusoids, and you would like to discover the frequencies of the individual components that create the signal?
TRIPATHY, Praveen, SRIVASTAVA, S. C., et SINGH, S. N. A modified TLS-ESPRIT-based method for low-frequency mode identification in power systems utilizing synchrophasor measurements. Power Systems, IEEE Transactions on, 2011, vol. 26, no 2, p. 719-727.