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The amount of wind power is growing significantly in the world. Large scale introduction of wind power in the power system will increase the need for improved short term planning models of hydro power, because additional variations are introduced in the system. This huge amount of uncertainties in the power system will cause changes in the power market and there will be a value of advanced planning techniques, that will allow more flexibility in hydropower generation by taking into account stochastic nature of spot and regulating markets, water inflow, future water value and so on. The application of multi-stage stochastic optimization in the planning of the daily production of hydro power is not wholly discovered and requires further research. The complexity of the mathematical programming of the short term hydro power production including several type of uncertainty, while keeping the problem size solvable, challenges the power system researchers. This paper overviews the literature in the field of short term hydro power planning in power systems with large amount of wind power.