IHB computation scheme of the periodic solutions for a class of piecewise-linear circuit systems is derived and the relevant numerical simulation is carried out. Phase planes under some specific control parameter values, as well as the system response property within a band of control parameter values, are plotted with the results compared with those of the Runge-Kutta method. It is shown that the IHB computation scheme proves to be an effective way of analyzing nonlinear problems in engineering practice.