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This paper addresses the additional energy consumption in wireless sensor networks where the communication between the sensor nodes and the sink nodes does not always make use of the shortest path, due to the presence of link failures. For simplicity, link failures are assumed to be stochastic and independent. The basis for the analysis is a planned topology, with multiple sinks deployed spatially apart, in order to optimise the probability of reporting sensed data over the shortest path. The extra amount of energy consumed by the occurrence of link failures and transmission errors is then analysed. In addition to analysing the steady-state availability of the shortest path, the time dependent behaviour is also found. Simulations also support these results.