R_COMP, C_COMP, and C_HF configure the error amplifier gain characteristics to accomplish a stable voltage loop gain. One advantage of current mode control is the ability to close the loop with only two feedback components, R_COMP and C_COMP. The voltage loop gain is the product of the modulator gain and the error amplifier gain. For this example, the modulator can be treated as an ideal voltage-to-current (transconductance) converter. The DC modulator gain of the LM5088 can be modeled as:

DC Gain_(MOD) = R_LOAD / (A × R_S)

The dominant low frequency pole of the modulator is determined by the load resistance (R_LOAD) and the output capacitance (C_OUT). The corner frequency of this pole is:

For the 5-V design example, the modulator gain versus frequency characteristic was measured as shown in Figure 8-4.

Figure 8-4 Modular Gain Phase

Components R_COMP and C_COMP configure the error amplifier as a type II compensation configuration. The DC gain of the amplifier is 80 dB, which has a pole at low frequency and a zero at f_Zero = 1 / (2π × R_COMP × C_COMP). The error amplifier zero is set such that it cancels the modulator pole leaving a single pole response at the crossover frequency of the voltage loop. A single pole response at the crossover frequency yields a very stable loop with 90° of phase margin. For the design example, a target loop bandwidth (crossover frequency) of 15 kHz was selected. The compensation network zero (f_Zero) must be at least an order of magnitude lower than the target crossover frequency. This constrains the product of R_COMP and C_COMP for a desired compensation network zero 1/ (2π × R_COMP × C_COMP) to be less than 1.5 kHz. Increasing R_COMP, while proportionally decreasing C_COMP, decreases the error amp gain. For the design example, C_COMP was selected to be 0.015 µF and R_COMP was selected to be 18 kΩ. These values configure the compensation network zero at 0.6 kHz. The error amp gain at frequencies greater than f_Zero is R_COMP / R_FB2, which is approximately 3.56 (11dB).

Figure 8-5 Error Amplifier Gain and Phase

The overall voltage loop gain can be predicted as the sum (in dB) of the modulator gain and the error amp gain. If a network analyzer is available, the modulator gain can be measured and the error amplifier gain can be configured for the desired loop transfer function. If a network analyzer is not available, the error amplifier compensation components can be designed with the suggested guidelines. Step load transient tests can be performed to verify performance. The step load goal is minimum overshoot with a damped response. C_HF can be added to the compensation network to decrease noise susceptibility of the error amplifier. The value of C_HF must be sufficiently small since the addition of this capacitor adds a pole in the error amplifier transfer function. A good approximation of the location of the pole added by C_HF is f_P2 = f_Zero × C_COMP / C_HF.Using C_HF is recommended to minimize coupling of any switching noise into the modulator. The value of C_HF was selected as 100 pF for this design example.

Figure 8-6 Overall Loop Gain and Phase