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This paper presents a method of model order reduction (MOR) for linear interconnect systems with large numbers of output ports. Model order reduction techniques have proven to be very effective for the simulation of large interconnect networks. However, using current MOR techniques, the size of the reduced system grows rapidly as the number of ports increase. This leads to a severe reduction in efficiency. In this paper, a reduction method is proposed, which is based on imposing practical restrictions on the loads that can be connected to the ports of the network. By exploiting the information on the output ports and utilizing parametric model order reduction techniques, the resulting reduced model is much less sensitive to the number of ports and therefore is significantly smaller than standard reduced models. Examples are presented that demonstrate the accuracy and efficiency of the new method.